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[]
[null,null,"Crane Beam 2010 v1.0-MODIFIED"]
[null,null,"Crane Beam is an educational tool to aid in Crane Runway Beam Design in accordance with AISC ASD and AISC LRFD.  This tool is a companion to AISC Design Guide #7: Industrial Buildings, Roofs to Column Anchorage.  The tool should be used only in conjunction with these detailed guidelines.  The design procedures for AISC ASD 1989 and AISC LRFD 1999 are contained in the design guide.  This version of Crane Beam includes design procedures for the 2005 and 2010 AISC Specifications.  The design procedures in this tool for the 2005 and 2010 AISC Specifications are updates to the design guide procedures."]
[]
[null,null,"NOTES ON THE DESIGN PROCEDURE"]
[null,null,"Bending Moments"]
[null,null,"For bending in about the X axis, note that the self-weight of the crane beam and the crane rail is calculated at the beam midspan where it is maximum and added to the maximum moment from the crane loads, even though the maximum moment from the crane loads may not be at the beam midspan.  This is a conservative approach and is rarely a significant change in the calculated moment."]
[]
[null,null,"Beam Deflections"]
[null,null,"Deflection calculated at midspan (may not be location of maximum deflection)"]
[]
[null,null,"Design of Wide-Flange Beams"]
[null,null,"The design procedures are limited to beams with compact or noncompact flanges and to beams with compact webs."]
[null,null,"Bending about Y-axis:  Section 18.1, Item 5 defines St as the section modulus of the top half of the section about the Y-axis and therefore St should be taken as one-half the total Sy of the shape.   As a conservative simplification in this tool, St is calculated as the elastic section modulus of the top flange only."]
[]
[null,null,"Design of Wide-Flange Beams with Channel Caps"]
[null,null,"The design procedures are limited to: composite sections with compact or noncompact webs (per Case 16 of Table B4.1b for singly-symmetric I-Shapes in AISC 2010)."]
[null,null,"1)  Composite sections with compact or noncompact webs (per Case 16 of Table B4.1b for singly-symmetric I-Shapes in AISC 2010)."]
[null,null,"2)  Channels with compact or noncompact webs (per Case 18 of Table B4.1b with the web treated as cover plate with effective width taken as the wide-flange section flange width, i.e. between welds in AISC 2010)"]
[null,null,"3)  Wide-flange sections and channels with compact flanges (per Case 1 of Table B4.1b for in AISC 2010)."]
[]
[null,null,"Web sidesway buckling"]
[null,null,"Web sidesway buckling is evaluated considering only the resistance of the wide flange beam for both wide-flange beams and wide-flange beams with channel caps.  It is assumed that the compression flange not restrained against rotation when evaluating AISC Section J10.4b."]
[]
[null,null,"Shear in the X-X axis"]
[null,null,"The vertical shear strength of the beam, is evaluated considering only the resistance of the wide flange beam for both wide-flange beams and wide-flange beams with channel caps."]
[]
[null,null,"Comparison of AISC 360-05 to AISC 360-10"]
[null,null,"1)  Eq. F4-8 has been rearranged, but results remain unchanged (AISC 360-10 version is used in this spreadsheet)."]
[null,null,"2)  Section F4-2 (calculation of the web plastification factor, Rpc) has a new condition for Iyc/Iy ≤ 0.23 in AISC 360-10.  This will not apply for a wide-flange section with cap channel because the compression flange is stiffened.    For the sections included in the design guide and in this tool, the values of Iyc/Iy  range from 0.78 to 0.95.  Therefore, this limit will not apply and there will be no difference in the design procedures in AISC 2005 versus AISC 2010."]
[null,null,"3)  There was a minor change  in the length parameter, l , in Section J10.4 of AISC 360-05 to Lb in AISC 360-10.  The nomenclature from AISC 360-10 is used in this tool.  This change does not represent a technical change that will result in a difference between the design procedures."]
[]
[null,null,"AISC Steel Design Guide #7: Industrial Buildings: Roofs to Anchor Rods, 2nd Edition"]
[null,null,"The design procedure in this tool is based on the information in Section 18.1 and the accompanying design examples."]
[null,null,"The proposed load factors for LRFD design is discussed in section 13 \"Crane Induced Loads and Load Combinations\""]
[null,null,"Section 13.1  \"Vertical Impact\" lists appropriate values for the vertical impact factor for several crane types."]
[null,null,"Section 13.2  \"Side-Thrust\" lists appropriate values for side-thrust value for several crane types in Table 13.2.1."]
[]
[null,null,"Additional Design Considerations"]
[null,null,"In addition to the general crane beam design included in this tool, the following design checks MUST be made:"]
[null,null,"  Design for cyclic loading (Fatigue)."]
[null,null,"  Design of welds attaching cap channel to w shape beam."]
[null,null,"  Design of crane beam end connections and bearing stiffeners."]
[null,null,"  Design of crane rail attachment to crane beam."]
[null,null,"  Design of crane lateral tie-backs."]
[]
[null,null,"This tool was originally created by James M. Fisher, S.E., P.E. of Computerized Structural Design, Inc. in Milwaukee, WI. Neither Mr. Fisher nor CSD were involved in the creation of this modified version."]
[null,null,"The original authors of this spreadsheet disclaim any and all liability for the use, misuse, or abuse of any aspect of this spreadsheet or the data and calculations contained therein. The user assumes sole responsibility for the use of this spreadsheet and any calculations that may result as a consequence of that use."]

{"sheet":"Crane Beam Design","index":1,"n_rows":65,"n_cols":23,"rows_kept":65,"cut":false,"hidden":false,"merged":[[57,2,58,11],[28,5,28,6],[8,9,8,11],[5,4,5,11],[6,4,6,11],[7,4,7,11],[8,4,8,7]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Link cell: ",{"$f":"VLOOKUP(DesignCode,T2:U7,2)","v":5}]
[null,null,"CRANE BEAM DESIGN",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ASD: 1989","ASD: 1989",0]
[null,null,"  An Educational Tool to aid in Crane Runway Beam Design in accordance with AISC ASD and AISC LRFD.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LRFD: 1999","LRFD: 1999",1]
[null,null,"  (Ref: AISC Steel Design Guide Series - Design Guide 7 \"Industrial Buildings\")",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ASD: 2005","ASD: 2005",2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LRFD: 2005","LRFD: 2005",3]
[null,null,"Project Name:",null,"Crane Beam Example",null,null,null,null,null,null,null,null,null,null,null,null,null,"ASD: 2010","ASD: 2010",4]
[null,null,"Project Description:",null,"Example 18.1.2  LRFD",null,null,null,null,null,null,null,null,null,null,null,null,null,"LRFD: 2010","LRFD: 2010",5]
[null,null,"Company:",null,"AISC Steel Solutions Center"]
[null,null,"Designed By:",null,"JRE",null,null,null,"Date:","2014-07-24"]
[]
[null,null,"SINGLE CRANE WITH TWO WHEELS PER ENDTRUCK ",null,null,null,null,null,"P","P"]
[null,null,"Crane Data",null,null,null,null,null,null,"s"]
[null,null," Crane Capacity",null,null,20," Tons"]
[null,null," Bridge Weight",null,"Wt. b",57.2," kips"]
[null,null," Trolley + Hoist Weight",null,"Wt. t+h",10.6," kips"]
[null,null," Max. Wheel Load",null,"P",38.1," kips",null,null,"        L"]
[null,null," Wheel Spacing",null,"s",12," ft."]
[null,null," Vertical Impact",null,null,25," %  (Input 25% for cab-operated cranes, 10% for pendant operated cranes)"]
[]
[null,null,"Crane Runway",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"WC","W"]
[null,null," Runway Span Length",null,"L",30," ft.",null," Crane Rail Weight = ",60.3," lb/yd",null,null,null,null,null,null,"3rd","W27x84 C15x33.9","W24x104"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"13th","W30x116 C15x33.9","W24X229"]
[null,null,"Runway Deflection Criteria",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"14th","W27x94 C15x33.9","W24X146"]
[null,null," Vertical Deflection *",null," L / ",600,{"$f":"L_sp*12/F24","v":0.6}," in.","Ix req'd. = ",{"$f":"'Loads and Deflection'!E38","v":3371.2982068965516}," in.4"]
[null,null," Horizontal Deflection",null," L / ",400,{"$f":"L_sp*12/F25","v":0.9}," in.","Iy req'd. = ",{"$f":"'Loads and Deflection'!L38","v":149.2455724137931}," in.4",null,null,null,null,null,null,null,"W24X146"]
[null,null," *  Does NOT include Vertical Impact or Girder and Rail Weight."]
[]
[null,null,"Crane Runway Design",null,null,null,null,null,null,"ASD","LRFD"]
[null,null," AISC Design Procedure",null,null,"LRFD: 2010",null,null,"Dead",1,1.2]
[null,null,null,null,null,null,null,null,"Live/Crane",1,1.6]
[null,null,"Forces",null,null,null,null,null,null,"See Section 13 for recommended values",null,null,null,null,null,null,null,null,null,null,null,"WC","W"]
[null,null," Max. Vertical Load",null,"P v",{"$f":"IF(BeamType=\"W\",W32,V32)","v":69.050000000000011}," kips / wheel  (includes impact)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G20,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N20,IF(F29=\"ASD: 2005\",'Design Checks 2005'!P_av,IF(F29=\"LRFD: 2005\",'Design Checks 2005'!P_uv,IF(F29=\"ASD: 2010\",P_av,IF(F29=\"LRFD: 2010\",P_uv,0))))))","v":69.050000000000011},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G20,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N20,IF(F29=\"ASD: 2005\",'Design Checks 2005 W'!P_av,IF(F29=\"LRFD: 2005\",'Design Checks 2005 W'!P_uv,IF(F29=\"ASD: 2010\",'Design Checks 2010 W'!P_av,IF(F29=\"LRFD: 2010\",'Design Checks 2010 W'!P_uv,0))))))","v":69.050000000000011}]
[null,null," Max. Horizontal Load",null,"P h **",{"$f":"IF(BeamType=\"W\",W33,V33)","v":4.0480000000000009}," kips / wheel / side",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G21,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N21,IF(F29=\"ASD: 2005\",'Design Checks 2005'!P_ah,IF(F29=\"LRFD: 2005\",'Design Checks 2005'!P_uh,IF(F29=\"ASD: 2010\",P_ah,IF(F29=\"LRFD: 2010\",P_uh,0))))))","v":4.0480000000000009},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G21,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N21,IF(F29=\"ASD: 2005\",'Design Checks 2005 W'!P_ah,IF(F29=\"LRFD: 2005\",'Design Checks 2005 W'!P_uh,IF(F29=\"ASD: 2010\",'Design Checks 2010 W'!P_ah,IF(F29=\"LRFD: 2010\",'Design Checks 2010 W'!P_uh,0))))))","v":4.0480000000000009}]
[null,null," **  Total Horizontal Force is 20% of the sum of weights of the lifted load and crane trolley, exclusive of other parts of crane."]
[null,null," Bending Moment",null,"Mx",{"$f":"IF(BeamType=\"W\",W35,V35)","v":685.3035000000001}," kip-ft.  (includes impact and girder and rail weight)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G27,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N27,IF(F29=\"ASD: 2005\",'Design Checks 2005'!M_ax,IF(F29=\"LRFD: 2005\",'Design Checks 2005'!M_ux,IF(F29=\"ASD: 2010\",M_ax,IF(F29=\"LRFD: 2010\",M_ux,0))))))","v":685.3035000000001},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G27,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N27,IF(F29=\"ASD: 2005\",'Design Checks 2005 W'!M_ax,IF(F29=\"LRFD: 2005\",'Design Checks 2005 W'!M_ux,IF(F29=\"ASD: 2010\",'Design Checks 2010 W'!M_ax,IF(F29=\"LRFD: 2010\",'Design Checks 2010 W'!M_ux,0))))))","v":685.3035000000001}]
[null,null," Bending Moment",null,"My",{"$f":"IF(BeamType=\"W\",W36,V36)","v":38.860800000000012}," kip-ft.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G28,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N28,IF(F29=\"ASD: 2005\",'Design Checks 2005'!M_ay,IF(F29=\"LRFD: 2005\",'Design Checks 2005'!M_uy,IF(F29=\"ASD: 2010\",'Design Checks 2010'!M_ay,IF(F29=\"LRFD: 2010\",M_uy,0))))))","v":38.860800000000012},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G28,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N28,IF(F29=\"ASD: 2005\",'Design Checks 2005 W'!M_ay,IF(F29=\"LRFD: 2005\",'Design Checks 2005 W'!M_uy,IF(F29=\"ASD: 2010\",'Design Checks 2005 W'!M_ay,IF(F29=\"LRFD: 2010\",'Design Checks 2005 W'!M_uy,0))))))","v":38.860800000000012}]
[null,null," Shear",null,"Vx",{"$f":"IF(BeamType=\"W\",W37,V37)","v":113.46980000000002}," kips",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G29,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N29,IF(F29=\"ASD: 2005\",'Design Checks 2005'!V_ax,IF(F29=\"LRFD: 2005\",'Design Checks 2005'!V_ux,IF(F29=\"ASD: 2010\",'Design Checks 2010'!V_ax,IF(F29=\"LRFD: 2010\",V_ux,0))))))","v":113.46980000000002},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G29,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N29,IF(F29=\"ASD: 2005\",'Design Checks 2005 W'!V_ax,IF(F29=\"LRFD: 2005\",'Design Checks 2005 W'!V_ux,IF(F29=\"ASD: 2010\",'Design Checks 2010 W'!V_ax,IF(F29=\"LRFD: 2010\",'Design Checks 2010 W'!V_ux,0))))))","v":113.46980000000002}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Link cell: ",0]
[null,null,"Crane Runway Beam",null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,"W Shape","W",0]
[null,null," Crane Beam Type ***",null,null,{"$f":"INDEX(S39:T42,T38+1,2)","v":"W"},null,null,null,null,null,null,null,null,null,null,null,1,"W Shape + Cap Channel","WC",1]
[null,null," ***  W indicates W Shape and WC indicates W Shape + Cap Channel",null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"Custom W Shape","W",2]
[null,null," Crane Beam Designation",null,null,{"$f":"IF(ShapeType<=1,Shape_Name,IF(ShapeType=2,'Custom Section Properties'!E6,'Custom Section Properties'!E29))","v":"W24X146"},null,null,{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(T48,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,null,null,null,null,null,3,"Custom W Shape + Cap Channel","WC",3]
[null,null," Beam Weight",null,"Wt.",{"$f":"IF(BeamType=\"W\",'Section Properties'!F8,'Section Properties'!F30)","v":146}," lb/ft"]
[null,null," Yield Stress",null,"Fy",50," ksi",null,null,null,null,null,null,null,null,null,null,null,"Link cell: ",2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fy = 36 ksi",36]
[null,null,"Deflection Checks",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fy = 50 ksi",50]
[null,null," Vertical - Moment of Inertia X-X",null,null,null,null,"Ix = ",{"$f":"'Loads and Deflection'!I29","v":4580}," in.4",{"$f":"IF(I47>=J24,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null," Horizontal - Top Flange Moment of Inertia Y-Y",null,null,null,null,"Iy top = ",{"$f":"'Loads and Deflection'!I30","v":194.99091749999999}," in.4",{"$f":"IF(I48>=J25,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,null,null,null,"Link cell: ",2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,"AISC LRFD 3rd Edition",0]
[null,null,"Summary Stress Checks",null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"AISC 13th Edition",1]
[null,null," Check Bending about the X-X Axis",null,null,null,null,"CSR = ",{"$f":"IF(BeamType=\"W\",W55,V55)","v":0.64142465136892524},{"$f":"IF(I51<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,null,null,null,2,"AISC 14th Edition",2]
[null,null," Check Bending about the Y-Y Axis in the top flange",null,null,null,null,"CSR = ",{"$f":"IF(BeamType=\"W\",W56,V56)","v":0.22852543375513895},{"$f":"IF(I52<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null," Check Biaxial Bending in the top flange",null,null,null,null,"CSR = ",{"$f":"IF(BeamType=\"W\",W57,V57)","v":0.86995008512406424},{"$f":"IF(I53<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null," Check Shear about the X-X Axis",null,null,null,null,"CSR = ",{"$f":"IF(BeamType=\"W\",W58,V58)","v":0.23558559119692729},{"$f":"IF(I54<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,null,null,null,null,null,null,null,"WC","W"]
[null,null," Check Web Sidesway Buckling",null,null,null,null,"CSR = ",{"$f":"IF(BeamType=\"W\",W59,V59)","v":0.1943818088686077},{"$f":"IF(I55=\"N/A\",\"\",IF(I55<=1,\" o.k.\",\" n.g.\"))","v":" o.k."},null,null,null,null,null,null,null,null," Check Bending about the X-X Axis",null,null,{"$f":"IF(F29=\"ASD: 1989\",MAX('Design Checks 1989 or 1999'!G66,'Design Checks 1989 or 1999'!G52),IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N69,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010'!G55,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010'!N55,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010'!G55,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010'!N55,0))))))","v":0.6192236471770789},{"$f":"IF(F29=\"ASD: 1989\",MAX('Design Checks 1989 or 1999'!G66,'Design Checks 1989 or 1999'!G52),IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N69,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010 W'!G41,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010 W'!N41,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010 W'!G41,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010 W'!N41,0))))))","v":0.64142465136892524}]
[null,null,{"$f":"IF(F29=\"ASD: 1989\",\"  OPTIONAL LRFD Web Sidesway Buckling\",\"\")","v":""},null,null,null,null,{"$f":"IF(F29=\"ASD: 1989\",\"CSR = \",\"\")","v":""},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G105,\"\")","v":""},{"$f":"IF(I56=\"N/A\",\"\",IF(F29=\"ASD: 1989\",IF(I56<=1,\" o.k.\",\" n.g.\"),\"\"))","v":""},null,null,null,null,null,null,null,null," Check Bending about the Y-Y Axis in the top flange",null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G77,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N76,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010'!G61,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010'!N61,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010'!G61,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010'!N61,0))))))","v":0.14926726683471375},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G77,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N76,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010 W'!G46,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010 W'!N46,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010 W'!G46,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010 W'!N46,0))))))","v":0.22852543375513895}]
[null,null,"GENERAL NOTES ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," Check Biaxial Bending in the top flange",null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G81,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N81,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010'!G66,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010'!N66,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010'!G66,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010'!N66,0))))))","v":0.76849091401179259},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G81,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N81,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010 W'!G50,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010 W'!N50,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010 W'!G50,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010 W'!N50,0))))))","v":0.86995008512406424}]
[null,null,"This program is applicable to only rolled W shapes (with compact or noncompact flanges and compact webs) and W shapes with Channel Caps (where W shape has compact webs and compact or noncompact flanges and channel cap has compact or noncompact web when treated as a flange cover plate).",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," Check Shear about the X-X Axis",null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G92,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N91,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010'!G78,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010'!N78,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010'!G78,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010'!N78,0))))))","v":0.2869529373087526},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G92,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N91,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010 W'!G62,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010 W'!N62,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010 W'!G62,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010 W'!N62,0))))))","v":0.23558559119692729}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," Check Web Sidesway Buckling",null,null,{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G98,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N100,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010'!G89,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010'!N89,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010'!G89,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010'!N89,0))))))","v":0.54463958495705833},{"$f":"IF(F29=\"ASD: 1989\",'Design Checks 1989 or 1999'!G98,IF(F29=\"LRFD: 1999\",'Design Checks 1989 or 1999'!N100,IF(F29=\"ASD: 2005\",'Design Checks 2005 or 2010 W'!G73,IF(F29=\"LRFD: 2005\",'Design Checks 2005 or 2010 W'!N73,IF(F29=\"ASD: 2010\",'Design Checks 2005 or 2010 W'!G73,IF(F29=\"LRFD: 2010\",'Design Checks 2005 or 2010 W'!N73,0))))))","v":0.1943818088686077}]
[null,null,"In addition to the general crane beam design above, the following design checks MUST be made:"]
[null,null,"  Design for cyclic loading (Fatigue)."]
[null,null,"  Design of welds attaching cap channel to w shape beam."]
[null,null,"  Design of crane beam end connections and bearing stiffeners."]
[null,null,"  Design of crane rail attachment to crane beam."]
[null,null,"  Design of crane lateral tie-backs."]

{"sheet":"Loads and Deflection","index":2,"n_rows":55,"n_cols":20,"rows_kept":55,"cut":false,"hidden":false,"merged":[[46,6,46,15],[47,6,47,15],[48,6,48,15],[31,2,31,15]]}
[]
[null,null,"CRANE BEAM LOADS: ASCE 7",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"Shape_Name","v":"W24X146"},null,{"$f":"Wt_CB","v":146},"plf",{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[]
[null,null,"SINGLE CRANE WITH TWO WHEELS PER ENDTRUCK "]
[null,null,"Crane Data"]
[null,null," Crane Capacity",null,"Capacity",{"$f":"Capacity","v":20}," Tons"]
[null,null," Bridge Weight",null,"W_bridge",{"$f":"W_bridge","v":57.2}," kips"]
[null,null," Trolley + Hoist Weight",null,"W_t_h",{"$f":"W_t_h","v":10.6}," kips"]
[null,null," Max. Wheel Load",null,"P_max",{"$f":"P_max","v":38.1}," kips"]
[null,null," Wheel Spacing",null,"S_wheel",{"$f":"S_wheel","v":12}," ft."]
[null,null," Vertical Impact",null,"f_impact",{"$f":"f_impact/100","v":0.25}]
[]
[null,null,"Crane Runway",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"WC","W"]
[null,null," Runway Span Length",null,"L_sp",{"$f":"L_sp","v":30}," ft.",null,null,null,null,null,null,null,null,null,null,null,"W27x84 C15x33.9","W24x131"]
[null,null," Crane Rail Weight",null,"W_rail",{"$f":"W_rail","v":60.3}," lb/yd"]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"P_max*(1+(f_impact/100))","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"((Live_LRFD*(P_max-(W_bridge/4)))+(Dead_LRFD*(W_bridge/4)))*(1+(f_impact/100))","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"Live_ASD*(0.2*((Capacity*2)+W_t_h)/4)","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"Live_LRFD*(0.2*((Capacity*2)+W_t_h)/4)","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Deflection Checks"]
[null,null," Vertical - Moment of Inertia X-X",null,null,null,null,"Ix = ",{"$f":"IF(BeamType=\"W\",'Section Properties'!$F$15,'Section Properties'!$F$36)","v":4580}," in.4",{"$f":"IF(I29>=E38,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null," Horizontal - Top Flange Moment of Inertia Y-Y",null,null,null,null,"Iy top = ",{"$f":"IF(BeamType=\"W\",I_top_wf,I_yc)","v":194.99091749999999}," in.4",{"$f":"IF(I30>=L38,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"The maximum deflection is calculated at the midspan of the beam for three conditions:  \n1)  The center of the wheel loads located at midspan of the beam\n2)  One wheel load at midspan (applies only when the wheel spacing is greater than one-half the girder span)\n3)  One wheel load at midspan with the other wheel load at the wheel spacing away from the midspan (applies only when the wheel spacing is less than one-half the girder span)\n\nThe deflection at midspan is taken as the maximum of the calculated deflections."]
[]
[null,null,"Runway Deflection Criteria"]
[null,null,"Vertical Deflection *",null,null,null,null,null,null,"Horizontal Deflection **"]
[null,null,null,"P = ",{"$f":"P_max","v":38.1},"kips","(max wheel load) ",null,null,null,"P = ",{"$f":"(0.2*((Capacity*2)+W_t_h)/4)","v":2.5300000000000002},"kips","(total horizontal force)"]
[null,null,"Limits",null,{"$f":"'Crane Beam Design'!G24","v":0.6},"in.",{"$f":"\"L/\"&'Crane Beam Design'!F24","v":"L/600"},null,null,"Limits",null,{"$f":"'Crane Beam Design'!G25","v":0.9}," in.",{"$f":"\"L/\"&'Crane Beam Design'!F25","v":"L/400"}]
[null,null,null,"Ix req'd. = ",{"$f":"MAX((P_Dv*((L_sp-S_wheel)/2)*((3*(L_sp^2))-(4*(((L_sp-S_wheel)/2)^2)))*1728)/(24*29000*E37),IF(S_wheel>L_sp/2,(P_Dv*(L_sp^3)*1728)/(48*29000*E37),((P_Dv*(L_sp^3)*1728)/(48*29000*E37))+((P_Dv*(L_sp-((L_sp/2)+S_wheel))*(L_sp/2)*((L_sp^2)-((L_sp-((L_sp/2)+S_wheel))^2)-((L_sp/2)^2))*1728)/(6*29000*E37*L_sp))))","v":3371.2982068965516}," in.4",null,null,null,null,"Iy req'd. = ",{"$f":"MAX((P_Dh*((L_sp-S_wheel)/2)*((3*(L_sp^2))-(4*(((L_sp-S_wheel)/2)^2)))*1728)/(24*29000*L37),IF(S_wheel>L_sp/2,(P_Dh*(L_sp^3)*1728)/(48*29000*L37),((P_Dh*(L_sp^3)*1728)/(48*29000*L37))+((P_Dh*(L_sp-((L_sp/2)+S_wheel))*(L_sp/2)*((L_sp^2)-((L_sp-((L_sp/2)+S_wheel))^2)-((L_sp/2)^2))*1728)/(6*29000*L37*L_sp))))","v":149.2455724137931}," in.4"]
[null,null,"Maximum","Dmax_v =",{"$f":"MAX(IF(S_wheel<L_sp,F40,0),IF(S_wheel>L_sp/2,F41,F42))","v":0.4416547869296793},"in.",{"$f":"\"L/\"&ROUND((L_sp*12)/E39,0)","v":"L/815"},null,null,"Maximum","Dmax_h =",{"$f":"MAX(IF(S_wheel<L_sp,M40,0),IF(S_wheel>L_sp/2,M41,M42))","v":0.68885780370982563},"in.",{"$f":"\"L/\"&ROUND((L_sp*12)/L39,0)","v":"L/523"}]
[null,null,null,"Condition 1","D1_v =",{"$f":"(P_Dv*((L_sp-S_wheel)/2)*((3*(L_sp^2))-(4*(((L_sp-S_wheel)/2)^2)))*1728)/(24*29000*I29)","v":0.4416547869296793},"in.",{"$f":"IF(S_wheel>L_sp,\"N/A\",\"\")","v":""},null,null,"Condition 1","D1_v =",{"$f":"(P_Dh*((L_sp-S_wheel)/2)*((3*(L_sp^2))-(4*(((L_sp-S_wheel)/2)^2)))*1728)/(24*29000*I30)","v":0.68885780370982563},"in.",{"$f":"IF(S_wheel>L_sp,\"N/A\",\"\")","v":""}]
[null,null,null,"Condition 2","D2_v =",{"$f":"(P_Dv*(L_sp^3)*1728)/(48*29000*I29)","v":0.27882246649600961},"in.",{"$f":"IF(S_wheel<=L_sp/2,\"N/A\",\"\")","v":"N/A"},null,null,"Condition 2","D2_v =",{"$f":"(P_Dh*(L_sp^3)*1728)/(48*29000*I30)","v":0.43488497708953638},"in.",{"$f":"IF(S_wheel<=L_sp/2,\"N/A\",\"\")","v":"N/A"}]
[null,null,null,"Condition 3","D3_v =",{"$f":"((P_Dv*(L_sp^3)*1728)/(48*29000*I29))+((P_Dv*(L_sp-((L_sp/2)+S_wheel))*(L_sp/2)*((L_sp^2)-((L_sp-((L_sp/2)+S_wheel))^2)-((L_sp/2)^2))*1728)/(6*29000*I29*L_sp))","v":0.36135391657882848},"in.",{"$f":"IF(S_wheel>L_sp/2,\"N/A\",\"\")","v":""},null,null,"Condition 3","D3_v =",{"$f":"((P_Dh*(L_sp^3)*1728)/(48*29000*I30))+((P_Dh*(L_sp-((L_sp/2)+S_wheel))*(L_sp/2)*((L_sp^2)-((L_sp-((L_sp/2)+S_wheel))^2)-((L_sp/2)^2))*1728)/(6*29000*I30*L_sp))","v":0.56361093030803922},"in.",{"$f":"IF(S_wheel>L_sp/2,\"N/A\",\"\")","v":""}]
[null,null," *  Does NOT include Vertical Impact or Girder and Rail Weight.",null,null,null,null,null,null,null," **  Total Horizontal Force is 20% of the sum of weights of the lifted load"]
[null,null,null,null,null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[null,null,"Maximum Bending Moments and Beam Shears"]
[]
[null,null,null,null,null,null,"The moment is maximum under the load closest to the midspan when that load is at X = 0.5*(L_sp - S_wheel/2) from the beam end.  See Table 3-23, Case 44 from the AISC Steel Construction Manual.  When S_wheel > (2-√(2)*L_sp, the maximum moment occurs with one load at midspan and the other off span.  This applies to bending moments about both the X and Y axes.  P for bending about the X axis is Pav for ASD and Puv for LRFD.  P for bending about the Y axis is Pah for ASD and Puh for LRFD.  "]
[null,null,null,null,null,null,"For bending in about the X axis, note that the self-weight of the crane beam and the crane rail is calculated at the beam midspan where it is maximum and added to the maximum moment from the crane loads, even though the maximum moment from the crane loads may not be at the beam midspan.  This is a conservative approach and is rarely a significant change in the calculated moment."]
[null,null,null,null,null,null,"Maximum shear at the beam end occurs when one wheel is adjacent to the support.  If the wheel spacing is smaller than the beam span the other wheel load will contribute to the shear as well."]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"(IF(S_wheel<((2-SQRT(2))*L_sp),(P_av/(2*L_sp))*((L_sp-(S_wheel/2))^2),P_av*L_sp/4))+((Dead_ASD*(Wt_CB+(W_rail/3))*(L_sp^2))/8000)","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"(IF(S_wheel<((2-SQRT(2))*L_sp),(P_uv/(2*L_sp))*((L_sp-(S_wheel/2))^2),P_uv*L_sp/4))+((Dead_LRFD*(Wt_CB+(W_rail/3))*(L_sp^2))/8000)","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"IF(S_wheel<((2-SQRT(2))*L_sp),(P_ah/(2*L_sp))*((L_sp-(S_wheel/2))^2),P_ah*L_sp/4)","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"IF(S_wheel<((2-SQRT(2))*L_sp),(P_uh/(2*L_sp))*((L_sp-(S_wheel/2))^2),P_uh*L_sp/4)","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"IF(S_wheel<L_sp,(P_av*(2-(S_wheel/L_sp))),P_av)+(Dead_ASD*((Wt_CB+(W_rail/3))*L_sp)/2000)","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"IF(S_wheel<L_sp,(P_uv*(2-(S_wheel/L_sp))),P_uv)+(Dead_LRFD*((Wt_CB+(W_rail/3))*L_sp)/2000)","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]

{"sheet":"Design Checks 1989 or 1999","index":3,"n_rows":105,"n_cols":17,"rows_kept":105,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CRANE BEAM DESIGN CHECKS",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"IF(ShapeType<2,IF('Crane Beam Design'!F40=\"W\",'Section Properties'!E6,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!E28,0)),IF('Crane Beam Design'!F40=\"W\",Shape_W_cust,IF('Crane Beam Design'!F40=\"WC\",Shape_WC_cust,0)))","v":"W24X146"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[null,null,"SECTION PROPERTIES"]
[null,null,"Total Section Weight",null,"Wt.",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F8,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F30,0))","v":146}," plf","Moment of Inertia",null,"Iy",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F19,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F41,0))","v":391}," in.4","Area",null,"A top",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K15,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K36,0))","v":14.061000000000002}," in.2"]
[null,null,"Cross-sectional Area",null,"A",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F9,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F31,0))","v":43}," in.2","Section Modulus",null,"Sy",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F20,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F42,0))","v":60.5}," in.3","Depth / Flange Area",null,"d / Af top",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K16,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K37,0))","v":1.7566318185050847}]
[null,null,"Total Depth",null,"d total",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F10,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F32,0))","v":24.7}," in.","Radius of Gyration",null,"ry",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F21,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F43,0))","v":3.01}," in.","Radius of Gyration",null,"rT top",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K17,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K38,0))","v":3.4383658250571103}," in."]
[null,null,"Distance to N. A.",null,"y 2",{"$f":"IF('Crane Beam Design'!F40=\"W\",F9/2,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F33,0))","v":12.35}," in.","Plastic Modulus",null,"Zy",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F22,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F44,0))","v":93.2}," in.3","Moment of Inertia",null,"It",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K18,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K39,0))","v":194.99091749999999}," in.4"]
[null,null,"Distance to N. A.",null,"y 1",{"$f":"IF('Crane Beam Design'!F40=\"W\",F9/2,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F34,0))","v":12.35}," in.","W  Depth",null,"d",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F57,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F86,0))","v":24.7}," in.","Section Modulus",null,"St",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K19,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K40,0))","v":30.23115}," in.3"]
[null,null,"Moment of Inertia",null,"Ix",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F15,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F36,0))","v":4580}," in.4","W  Web Thickness",null,"tw",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F59,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F87,0))","v":0.65}," in.","Plastic Modulus",null,"Zt",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K20,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K41,0))","v":45.346724999999999}," in.3"]
[null,null,"Section Modulus",null,"S2",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F16,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F37,0))","v":371}," in.3","W  Flange Width",null,"bf",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F60,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F88,0))","v":12.9}," in.","Radius of Gyration",null,"ry top",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K21,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K42,0))","v":3.7239092362730859}," in."]
[null,null,null,null,"S1",{"$f":"IF('Crane Beam Design'!F40=\"W\",F13,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F38,0))","v":371}," in.3","W  Flange Thickness",null,"tf",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F61,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F89,0))","v":1.0900000000000001}," in.","Torsional Constant",null,"J",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K22,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K43,0))","v":13.4}," in.4"]
[null,null,"Radius of Gyration",null,"rx",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F17,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F39,0))","v":10.3}," in.","W  Web Depth",null,"h",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F58,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F95,0))","v":21.52}," in.","Warping Constant",null,"Cw",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K23,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!K44,0))","v":54600}," in.6"]
[null,null,"Plastic Modulus",null,"Zx",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F18,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F40,0))","v":418}," in.3"]
[]
[null,null,"ASD DESIGN: ASD 1989",null,null,null,null,null,null,"LRFD DESIGN: LRFD 1999"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"P v = ",{"$f":"P_max*(1+(f_impact/100))","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Pu v = ",{"$f":"((1.6*('Crane Beam Design'!F16-('Crane Beam Design'!F14/4)))+(1.2*('Crane Beam Design'!F14/4)))*(1+('Crane Beam Design'!F18/100))","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"P h = ",{"$f":"(0.2*((Capacity*2)+W_t_h)/4)","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Pu h = ",{"$f":"1.6*(0.2*(('Crane Beam Design'!F13*2)+'Crane Beam Design'!F15)/4)","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Mx = ",{"$f":"(IF(S_wheel<((2-SQRT(2))*L_sp),(G20/(2*L_sp))*((L_sp-(S_wheel/2))^2),G20*L_sp/4))+((Dead_ASD*(Wt_CB+(W_rail/3))*(L_sp^2))/8000)","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"(IF(S_wheel<((2-SQRT(2))*L_sp),(N20/(2*L_sp))*((L_sp-(S_wheel/2))^2),N20*L_sp/4))+((Dead_LRFD*(Wt_CB+(W_rail/3))*(L_sp^2))/8000)","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"My = ",{"$f":"IF(S_wheel<((2-SQRT(2))*L_sp),(G21/(2*L_sp))*((L_sp-(S_wheel/2))^2),G21*L_sp/4)","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"IF(S_wheel<((2-SQRT(2))*L_sp),(N21/(2*L_sp))*((L_sp-(S_wheel/2))^2),N21*L_sp/4)","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vx = ",{"$f":"IF(S_wheel<L_sp,(G20*(2-(S_wheel/L_sp))),G20)+(Dead_ASD*((Wt_CB+(W_rail/3))*L_sp)/2000)","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"IF(S_wheel<L_sp,(N20*(2-(S_wheel/L_sp))),N20)+(Dead_LRFD*((Wt_CB+(W_rail/3))*L_sp)/2000)","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling",null,null,null,null,null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(G34<=G36,\"compact\",IF(AND(G34>G36,G34<=G37),\"noncompact\",\"slender\")),IF(AND(G34<=G36,G35<=G36),\"compact\",IF(AND(OR(G34>G36,G35>G36),G34<=G37,G35<=G37),\"noncompact\",\"slender\")))","v":"compact"},null,null,"  UNSTIFFENED ELEMENTS",null,null,null,{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(N34<=N36,\"compact\",IF(AND(N34>N36,N34<=N37),\"noncompact\",\"slender\")),IF(AND(N34<=N36,N35<=N36),\"compact\",IF(AND(OR(N34>N36,N35>N36),N34<=N37,N35<=N37),\"noncompact\",\"slender\")))","v":"compact"}]
[null,null,"Flanges of W-Shape",null,null,"(b/t)w = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F65,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F93,0))","v":5.92},null,null,"Flanges of W-Shape",null,null,"l = (b/t)w = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F65,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F93,0))","v":5.92}]
[null,null,"Flanges of Channel",null,null,"(b/t)c = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",\"N/A\",'Section Properties'!K93)","v":"N/A"},null,null,"Flanges of Channel",null,null,"l = (b/t)c = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",\"N/A\",'Section Properties'!K93)","v":"N/A"}]
[null,null,null,null,null,"Compact Limit  lp = 0.38(E/Fy)1/2 = ",{"$f":"0.38*SQRT(29000/'Crane Beam Design'!$F$44)","v":9.1516118798821449},null,null,null,null,null,"Compact Limit  lp = 0.38(E/Fy)1/2 = ",{"$f":"0.38*SQRT(29000/'Crane Beam Design'!$F$44)","v":9.1516118798821449}]
[null,null,null,null,null,"Noncompact Limit  lr =1.0(E/Fy)1/2 = ",{"$f":"1*SQRT(29000/$N$51)","v":26.92582403567252},null,null,null,null,null,"Noncompact Limit  lr = 1.0(E/Fy)1/2 = ",{"$f":"1*SQRT(29000/$N$51)","v":26.92582403567252}]
[null,null,"  STIFFENED ELEMENTS",null,null,null,{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(G39<=G40,\"compact\",IF(AND(G39<=G41),\"noncompact\",\"slender\")),IF(AND(G39<=G40,G42<=G43),\"compact\",IF(AND(G39<=G41,G42<=G44),\"noncompact\",\"slender\")))","v":"compact"},null,null,"  STIFFENED ELEMENTS",null,null,null,{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(N39<=N40,\"compact\",IF(AND(N39<=N41),\"noncompact\",\"slender\")),IF(AND(N39<=N40,N42<=N43),\"compact\",IF(AND(N39<=N41,N42<=N44),\"noncompact\",\"slender\")))","v":"compact"}]
[null,null,"Web of W-Shape",null,null,"(h/t)w = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F66,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F94,0))","v":38},null,null,"Web of W-Shape",null,null,"l = (h/t)w = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F66,IF('Crane Beam Design'!F40=\"WC\",'Section Properties'!F94,0))","v":38}]
[null,null,null,null,null,"Compact Limit  640/(Fy)1/2 = ",{"$f":"640/SQRT('Crane Beam Design'!F44)","v":90.509667991878075},null,null,null,null,null,"Compact Limit  lp = 3.76(E/Fy)1/2 = ",{"$f":"3.76*SQRT(29000/'Crane Beam Design'!$F$44)","v":90.552791232518061}]
[null,null,null,null,null,"Noncompact Limit  970/(Fy)1/2 = ",{"$f":"970/SQRT('Crane Beam Design'!F44)","v":137.17871555019022},null,null,null,null,null,"Noncompact Limit  lr = 5.70(E/Fy)1/2 = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",5.7*SQRT(29000/'Crane Beam Design'!F44),1.49*SQRT(29000/'Crane Beam Design'!F44)*(1+(2.83*IF('Section Properties'!F45<0.75,0.75,IF('Section Properties'!F45>1.5,1.5,'Section Properties'!F45)))))","v":137.27417819823216},{"$f":"IF('Crane Beam Design'!F40=\"W\",\"\",\" use (AISC EQ. A-B5-2)\")","v":""}]
[null,null,"Web of Channel",null,null,"(h/t)c = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",\"N/A\",('Section Properties'!K86-(2*'Section Properties'!K90))/'Section Properties'!K87)","v":"N/A"},null,null,"Web of Channel",null,null,"l = (h/t)w = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",\"N/A\",('Section Properties'!K86-(2*'Section Properties'!K90))/'Section Properties'!K87)","v":"N/A"}]
[null,null,null,null,null,"Compact Limit  190/(Fy)1/2 = ",{"$f":"190/SQRT('Crane Beam Design'!F44)","v":26.870057685088806},null,null,null,null,null,"Compact Limit  lp = 1.12(E/Fy)1/2 = ",{"$f":"1.12*SQRT(29000/'Crane Beam Design'!F44)","v":26.973171856494744}]
[null,null,null,null,null,"Noncompact Limit  238/(Fy)1/2 = ",{"$f":"238/SQRT('Crane Beam Design'!F44)","v":33.65828278447966},null,null,null,null,null,"Noncompact Limit  lr = 1.40(E/Fy)1/2 = ",{"$f":"1.4*SQRT(29000/'Crane Beam Design'!F44)","v":33.716464820618427}]
[]
[null,null,"Check Bending about the X-X Axis",null,null,null,null,null,null,"Check Bending about the X-X Axis"]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"'Crane Beam Design'!F21*12","v":360}," in.",null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"'Crane Beam Design'!F21*12","v":360}," in."]
[null,null,null,null,null,null,null,null,null," Determine Limiting Lateral Unbraced Lengths"]
[null,null,"  TENSION",null,null,null,null,null,null,"AISC EQ. F1-4",null,null,"Lp = ",{"$f":"1.76*P13*SQRT(29000/'Crane Beam Design'!F44)","v":157.84315455540033}," in."]
[null,null,"Actual Bending",null,null,"fbx t = ",{"$f":"G27*12/F14","v":15.392547169811321}," ksi",null,"Compressive Residual Stress",null,null,"Fr = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",10,16.5)","v":10}," ksi"]
[null,null,"Allow. Bending",null,null,"Fbx t = ",{"$f":"0.6*'Crane Beam Design'!F44","v":30}," ksi",null,"FL = ( Fy - Fr )",null,null,"FL = ",{"$f":"'Crane Beam Design'!F44-N50","v":40}," ksi"]
[null,null,null,null,null,"fbx t / Fbx t = ",{"$f":"G50/G51","v":0.51308490566037734},{"$f":"IF(G52<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,"Limiting Buckling Moment",null,null,"Mr = S2 FL = ",{"$f":"N51*F13","v":14840}," kip-in."]
[null,null,null,null,null,null,null,null,null,{"$f":"IF('Crane Beam Design'!F40=\"W\",\"AISC EQ. F1-6\",\"AISC Table A-F1.1\")","v":"AISC EQ. F1-6"},null,null,"Lr = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",(K9*((PI()/F13)*SQRT(29000*11200*P14*F8/2))/N51)*SQRT(1+SQRT(1+(((4*P15/K7)*((F13/(11200*P14))^2))*(N51^2)))),IF('Crane Beam Design'!F40=\"WC\",SQRT(((2*N52*(2.25*K15*((2*P10/K7)-1)*SQRT(K7/P14))/(PI()*29000*SQRT(K7*P14*11200/29000)))+1+SQRT((((2*N52*(2.25*K15*((2*P10/K7)-1)*SQRT(K7/P14))/(PI()*29000*SQRT(K7*P14*11200/29000)))+1)^2)+(4*((N52^2)*(25*(K15^2)*((1-(P10/K7))*(P10/P14)))/((PI()*29000*SQRT(K7*P14*11200/29000))^2)))))/(2*(N52^2)/((PI()*29000*SQRT(K7*P14*11200/29000))^2))),0))","v":366.84372396976784}," in."]
[null,null,"  COMPRESSION",null,null,null,null,null,null,"Bending Coefficient",null,null,"Cb = ",1]
[null,null,"Actual Bending",null,null,"fbx c = ",{"$f":"G27*12/F13","v":15.392547169811321}," ksi",null,"  YIELDING  Lb < Lp"]
[null,null,null,null,null,"76bf / SQRT(Fy) = ",{"$f":"(76*IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F60,'Section Properties'!K86))/SQRT('Crane Beam Design'!F44)","v":138.64949765505824}," in.",null,"Plastic Moment",null,null,"Mpx = ",{"$f":"MIN('Crane Beam Design'!F44*F16,1.5*'Crane Beam Design'!F44*MIN(F13,F14))","v":20900}," kip-in."]
[null,null,null,null,null,"20,000 / (d/Af) SQRT(Fy) = ",{"$f":"20000/(IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K16,'Section Properties'!K37)*'Crane Beam Design'!F44)","v":227.70850202429153},null,null,"AISC EQ. F1-1",null,null,"Mnx = ",{"$f":"N56","v":20900}," kip-in."]
[null,null,"AISC EQ. F1-2",null,null,"Lc = ",{"$f":"MIN((76*IF('Crane Beam Design'!F40=\"W\",'Section Properties'!F60,'Section Properties'!K86))/SQRT('Crane Beam Design'!F44),20000/(IF('Crane Beam Design'!F40=\"W\",'Section Properties'!K16,'Section Properties'!K37)*'Crane Beam Design'!F44))","v":138.64949765505824}," in.",null,"  LATERAL-TORSIONAL BUCKLING  Lb < Lr"]
[null,null,null,null,null,"L/ rT = ",{"$f":"('Crane Beam Design'!F21*12/'Design Checks 1989 or 1999'!P9)","v":104.700901043309},null,null,"AISC EQ. F1-7",null,null,"Mrx = ",{"$f":"MIN(N51*F13,'Crane Beam Design'!F44*F14)","v":14840}," kip-in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,null,"AISC EQ. F1-2",null,null,"Mnx = ",{"$f":"MIN(N54*(N56-((N56-N59)*((N47-N49)/(N53-N49)))),N56)","v":15038.43470940296}," kip-in."]
[null,null,"AISC EQ. F1-1",null,null,"Fbx = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(AND(G34<=G36,G39<=G40,G47<=G58),0.66*'Crane Beam Design'!F44,0),IF(AND(G34<=G36,G35<=G36,G39<=G40,G42<=G43,G47<=G58),0.66*'Crane Beam Design'!F44,0))","v":0}," ksi",null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F1-3",null,null,"Fbx = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(AND(G34>G36,G34<=G37,G39<=G40,G47<=G58),'Crane Beam Design'!F44*(0.79-(0.002*'Section Properties'!F65*SQRT('Crane Beam Design'!F44))),0),IF(AND(OR(G34>G36,G35>G36),G34<=G37,G35<=G37,G39<=G40,G42<=G43,G47<=G58),'Crane Beam Design'!F44*(0.79-(0.002*MAX('Section Properties'!F93,'Section Properties'!K93)*SQRT('Crane Beam Design'!F44))),0))","v":0}," ksi",null,"Factor",null,null,"B1 = ",{"$f":"2.25*((2*P10/K7)-1)*(K15/N47)*SQRT(K7/P14)","v":-1.8919065043059905E-3}]
[null,null,"AISC EQ. F1-5",null,null,"Fbx = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(AND(OR(G34>G36,G39>G40),G34<=G37,G39<=G41,G47<=G56),0.6*'Crane Beam Design'!F44,0),IF(AND(OR(G34>G36,G35>G36,G39>G40,G42>G43),G34<=G37,G35<=G37,G39<=G41,G42<=G44,G47<=G56),0.6*'Crane Beam Design'!F44,0))","v":0}," ksi",null,"Factor",null,null,"B2 = ",{"$f":"25*(1-(P10/K7))*(P10/P14)*((K15/N47)^2)","v":0.65167125366160272}]
[null,null,"Max. AISC EQ. F1-6, F1-7, or F1-8",null,null,"Fbx = ",{"$f":"IF(G47>G58,MAX(IF(G59>SQRT((102000*G60)/'Crane Beam Design'!F44),IF(G59<=SQRT((510000*G60)/'Crane Beam Design'!F44),MIN(((2/3)-('Crane Beam Design'!F44*(G59^2)/(1530000*G60)))*'Crane Beam Design'!F44,0.6*'Crane Beam Design'!F44),MIN((170000*G60)/(G59^2),0.6*'Crane Beam Design'!F44)),0.6*'Crane Beam Design'!F44),MIN((12000*G60)/('Crane Beam Design'!F21*12*'Design Checks 1989 or 1999'!P8),0.6*'Crane Beam Design'!F44)),0)","v":18.975708502024297}," ksi",null,{"$f":"IF('Crane Beam Design'!F40=\"W\",\"AISC EQ. F1-13\",\"AISC Table A-F1.1\")","v":"AISC EQ. F1-13"},null,null,"Mcrx = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",((N54*F13*((PI()/F13)*SQRT(29000*11200*P14*F8/2))*SQRT(2))/(N47/K9))*SQRT(1+(((((PI()/F13)*SQRT(29000*11200*P14*F8/2))^2)*((4*P15/K7)*((F13/(11200*P14))^2)))/(2*((N47/K9)^2)))),((PI()*29000*SQRT(K7*P14*11200/29000))/N47)*N54*(N62+SQRT(1+N63+(N62^2))))","v":15247.927872748267}," kip-in."]
[null,null,"Allow. Bending",null,null,"Fbx c = ",{"$f":"MAX(G61,G62,G63,G64)","v":18.975708502024297}," ksi",null,"AISC EQ. F1-12",null,null,"Mnx = ",{"$f":"MIN(N64,N56)","v":15247.927872748267}," kip-in."]
[null,null,null,null,null,"fbx c / Fbx c = ",{"$f":"G55/G65","v":0.81117114378992861},{"$f":"IF(G66<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,"Nominal Flexural Strength",null,null,"Mnx = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(AND(N34<=N36,N39<=N40,N47<=N49),N57,IF(AND(OR(N34>N36,N39>N40),N34<=N37,N39<=N41,N47<=N53),N60,N65)),IF(AND(N34<=N36,N35<=N36,N39<=N40,N42<=N43,N47<=N49),N57,IF(AND(OR(N34>N36,N35>N36,N39>N40,N42>N43),N34<=N37,N35<=N37,N39<=N41,N42<=N44,N47<=N53),N60,N65)))","v":15247.927872748267}," kip-in."]
[null,null,null,null,null,null,null,null,null,null,null,null,"or  Mnx = ",{"$f":"IF(N47<=N49,N57,IF(N47<=N53,N60,N65))/12","v":1253.2028924502467}," kip-ft."]
[null,null,null,null,null,null,null,null,null,"Flexural Design Strength",null,null,"fMnx = ",{"$f":"0.9*IF(N47<=N49,N57,IF(N47<=N53,N60,N65))/12","v":1127.882603205222}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Mux / fMnx = ",{"$f":"N27/N68","v":0.60760180009204989},{"$f":"IF(N69<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange",null,null,null,null,null,null,"Check Bending about the Y-Y Axis in the top flange"]
[null,null,"  COMPRESSION",null,null,null,null,null,null,"Plastic Moment",null,null,"Mpy = ",{"$f":"'Crane Beam Design'!F44*P12","v":2267.3362499999998}," kip-in."]
[null,null,"Actual Bending",null,null,"fby c = ",{"$f":"G28*12/P11","v":9.6409167365449218}," ksi",null,null,null,null,"Mny = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(N34<=N36,N72,'Crane Beam Design'!F44*P11),IF(AND(N34<=N36,N35<=N36),N72,'Crane Beam Design'!F44*P11))","v":2267.3362499999998}," kip-in."]
[null,null,"AISC EQ. F2-1",null,null,"Fby = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(G34<=G36,0.75*'Crane Beam Design'!F44,0),IF(AND(G34<=G36,G35<=G36),0.75*'Crane Beam Design'!F44,0))","v":37.5}," ksi",null,null,null,null,"or  Mny = ",{"$f":"N73/12","v":188.94468749999999}," kip-ft."]
[null,null,"AISC EQ. F2-2",null,null,"Fby = ",{"$f":"IF('Crane Beam Design'!F40=\"W\",IF(AND(G34>G36,G34<=G37),0.6*'Crane Beam Design'!F44,0),IF(AND(OR(G34>G36,G35>G36),G34<=G37,G35<=G37),0.6*'Crane Beam Design'!F44,0))","v":0}," ksi",null,"Flexural Design Strength",null,null,"fMny = ",{"$f":"0.9*N74","v":170.05021875}," kip-ft.  ( f = 0.90 )"]
[null,null,"Allow. Bending",null,null,"Fby c = ",{"$f":"MAX(G74,G75)","v":37.5}," ksi",null,null,null,null,"Muy / fMny = ",{"$f":"N28/N75","v":0.22852543375513895},{"$f":"IF(N76<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,null,null,null,"fby c / Fby c = ",{"$f":"G73/G76","v":0.25709111297453124},{"$f":"IF(G77<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Biaxial Bending in the top flange",null,null,null,null,null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-3",null,null,"fbx / Fbx  +  fby / Fby  = ",{"$f":"(G55/G65)+(G73/G76)","v":1.0682622567644597},{"$f":"IF(AND(G52<=1,G66<=1,G77<=1,G81<=1),\" o.k.\",\" n.g.\")","v":" n.g."},null,"AISC EQ. H1-1b",null,null,"Mux / fMnx + Muy / fMny = ",{"$f":"(N27/N68)+(N28/N75)","v":0.83612723384718879},{"$f":"IF(AND(N69<=1,N76<=1,N81<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis",null,null,null,null,null,null,"Check Shear about the X-X Axis"]
[null,null,"Actual Shear",null,null,"fv = ",{"$f":"G29/(K11*K12)","v":4.9013702896293996}," ksi",null,"Clear distance between stiffeners",null,null,"a = ",{"$f":"'Crane Beam Design'!F21*12","v":360}," in."]
[null,null,"Clear distance between stiffeners",null,null,"a = ",{"$f":"'Crane Beam Design'!F21*12","v":360}," in.",null,null,null,null,"a/h = ",{"$f":"N84/K15","v":16.728624535315987}]
[null,null,null,null,null,"a/h = ",{"$f":"G85/K15","v":16.728624535315987},null,null,null,null,null,"kv = ",{"$f":"IF(OR(N85>3,N85>(260/(K15/K12))^2),5,5+(5/(N85^2)))","v":5}]
[null,null,null,null,null,"kv = ",{"$f":"IF(G86<=1,4+(5.34/(G86^2)),5.34+(4/(G86^2)))","v":5.3542935308641972},null,null,"AISC EQ. A-F2-1",null,null,"Vnx = ",{"$f":"IF(K15/K12<=1.1*SQRT((N86*29000)/'Crane Beam Design'!F44),0.6*'Crane Beam Design'!F44*(K11*K12),0)","v":481.65}," kip"]
[null,null,null,null,null,"Cv = ",{"$f":"IF((45000*G87)/('Crane Beam Design'!F44*((K15/K12)^2))<=0.8,(45000*G87)/('Crane Beam Design'!F44*((K15/K12)^2)),(190/(K15/K12))*SQRT(G87/'Crane Beam Design'!F44))","v":1.8779791944440709},null,null,"AISC EQ. A-F2-2",null,null,"Vnx = ",{"$f":"IF(AND(K15/K12>1.1*SQRT((N86*29000)/'Crane Beam Design'!F44),K15/K12<=1.37*SQRT((N86*29000)/'Crane Beam Design'!F44)),(0.6*'Crane Beam Design'!F44*(K11*K12)*(1.1*SQRT((N86*29000)/'Crane Beam Design'!F44)))/(K15/K12),0)","v":0}," kip"]
[null,null,"AISC EQ. F4-1",null,null,"Fv = ",{"$f":"IF(K15/K12<=380/SQRT('Crane Beam Design'!F44),0.4*'Crane Beam Design'!F44,0)","v":20}," ksi",null,"AISC EQ. A-F2-3",null,null,"Vnx = ",{"$f":"IF(K15/K12>1.37*SQRT((N86*29000)/'Crane Beam Design'!F44),((K11*K12)*0.91*29000*N86)/((K15/K12)^2),0)","v":0}," kip"]
[null,null,"AISC EQ. F4-2",null,null,"Fv = ",{"$f":"IF(K15/K12>380/SQRT('Crane Beam Design'!F44),MIN((G88/2.89)*'Crane Beam Design'!F44,0.4*'Crane Beam Design'!F44),0)","v":0}," ksi",null,"Shear Design Strength",null,null,"fVnx = ",{"$f":"0.9*MAX(N87,N88,N89)","v":433.48500000000001}," kip-ft.  ( f = 0.90 )"]
[null,null,"Allow. Shear",null,null,"Fv = ",{"$f":"MAX(G89,G90)","v":20}," ksi",null,null,null,null,"Vux / fVnx = ",{"$f":"N29/N90","v":0.26176176799658585},{"$f":"IF(N91<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,null,null,null,"fv / Fv = ",{"$f":"G84/G91","v":0.24506851448146999},{"$f":"IF(G92<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling",null,null,null,null,null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC EQ. K1-7",null,null,null,null,null,null,"AISC EQ. K1-7"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"(K15/K12)/('Crane Beam Design'!F21*12/K13)","v":1.1863589743589742},{"$f":"IF(G96<=1.7,\" < 1.7\",\" > 1.7\")","v":" < 1.7"},null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"(K15/K12)/('Crane Beam Design'!F21*12/K13)","v":1.1863589743589742},{"$f":"IF(N96<=1.7,\" < 1.7\",\" > 1.7\")","v":" < 1.7"}]
[null,null,"Max. Concentrated Load",null,null,"R allow = ",{"$f":"IF((K15/K12)/('Crane Beam Design'!F21*12/K13)<1.7,(6800*(K12^3)/(K11-(2*K14)))*0.4*(((K15/K12)/('Crane Beam Design'!F21*12/K13))^3),\"N/A\")","v":55.384590301103344}," kips",null,null,null,null,"Cr = ",{"$f":"(IF(N27*12<('Crane Beam Design'!F44*MIN(F13,F14)),960000,480000))","v":960000}]
[null,null,null,null,null,"Pv / Rallow = ",{"$f":"IF(G96<1.7,G20/G97,\"N/A\")","v":0.85989622277753386},{"$f":"IF(G96<1.7,IF(G98<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF((K15/K12)/('Crane Beam Design'!F21*12/K13)<=1.7,(((IF(N27*12<('Crane Beam Design'!F44*MIN(F13,F14)),960000,480000))*(K12^3)*K14)/(K15^2))*0.4*(((K15/K12)/('Crane Beam Design'!F21*12/K13))^3),\"N/A\")","v":414.43995502222225}," kips"]
[null,null,null,null,null,null,null,null,null,"Design Strength of Web",null,null,"fRn = ",{"$f":"IF((K15/K12)/('Crane Beam Design'!F21*12/K13)<=1.7,0.85*(((IF(N27*12<('Crane Beam Design'!F44*MIN(F13,F14)),960000,480000))*(K12^3)*K14)/(K15^2))*0.4*(((K15/K12)/('Crane Beam Design'!F21*12/K13))^3),\"N/A\")","v":352.27396176888891}," kips  ( f = 0.85 )"]
[null,null,"  OPTIONAL LRFD Sidesway Buckling check",null,null,null,null,null,null,null,null,null,"Puv / fRn = ",{"$f":"IF(N96<1.7,N20/N99,\"N/A\")","v":0.19601221632526053},{"$f":"IF(N96<1.7,IF(N100<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]
[null,null,"AISC LRFD EQ. K1-7"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"(K15/K12)/('Crane Beam Design'!F21*12/K13)","v":1.1863589743589742},{"$f":"IF(G102<=1.7,\" < 1.7\",\" > 1.7\")","v":" < 1.7"}]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(MAX(G50,G55+G73)<=0.6*'Crane Beam Design'!F44,960000,480000))","v":960000}]
[null,null,"Max. Concentrated Load",null,null,"R allow = ",{"$f":"IF((K15/K12)/('Crane Beam Design'!F21*12/K13)<=1.7,0.85*((G103*(K12^3)*K14)/(K15^2))*0.4*(((K15/K12)/('Crane Beam Design'!F21*12/K13))^3)/1.6,\"N/A\")","v":220.17122610555555}," kips"]
[null,null,null,null,null,"Pv / Rallow = ",{"$f":"IF(G102<1.7,G20/G104,\"N/A\")","v":0.21630891939152572},{"$f":"IF(G102<1.7,IF(G105<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2005 or 2010","index":4,"n_rows":89,"n_cols":16,"rows_kept":89,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,{"$f":"\"CRANE BEAM DESIGN CHECKS: AISC 360\" & IF(OR(DesignCode=\"LRFD: 2005\",DesignCode=\"ASD: 2005\"),\"-05\",\"-10\")","v":"CRANE BEAM DESIGN CHECKS: AISC 360-10"},null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"IF(ShapeType<2,Shape_Name_WC,Shape_WC_cust)","v":"W27x94 C15x33.9"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Flanges of W-Shape (Case 1)",null,null,"l = (bf/2tf)w = ",{"$f":"b_2tf_wf","v":6.7},{"$f":"IF(G23<=G24,\"compact\",IF(G23<=G25,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Composite Section (Case 16)",null,null,null,"l = hc/tw = ",{"$f":"hc_tw","v":35.346938775510203},{"$f":"IF(O23<=O24,\"compact\",IF(O23<=O25,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,null,"Compact Limit  lp = (hc/hp)(E/Fy)/[0.54(Mp/My) - 0.09]2 ≤ lr  = ",{"$f":"MIN((hc/hp)*SQRT(29000/Fy)/(0.54*M_p_CB/M_y - 0.09)^2,O25)","v":137.27417819823216},{"$f":"IF(P23=\"slender\",TRUE, FALSE)","v":false}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[null,null,"Flanges of Channel (Case 1)",null,null,"l = (bf/tf)c = ",{"$f":"bf_tf_ch","v":5.2307692307692308},{"$f":"IF(G26<=G27,\"compact\",IF(G26<=G28,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Channel (Case 18)",null,null,null,"l = bf_wf/tw_ch = ",{"$f":"b_f_wf/t_w_ch","v":25},{"$f":"IF(O26<=O27,\"compact\",IF(O26<=O28,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,null,"Compact Limit  lp = 1.12√(E/Fy) = ",{"$f":"1.12*SQRT(29000/Fy)","v":26.973171856494744},{"$f":"IF(P26=\"slender\",TRUE, FALSE)","v":false}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,{"$f":"AND(P27=FALSE,P24=FALSE)","v":true},null,null,null,"Noncompact Limit  lr = 1.40√(E/Fy) = ",{"$f":"1.4*SQRT(29000/Fy)","v":33.716464820618427}]
[null,{"$f":"IF(OR(H23<>\"Compact\",H26<>\"Compact\"),TRUE, FALSE)","v":false},{"$f":"IF(B29,\"The channel or beam flange is not compact.  The section is out-of-scope!\",\"Width-to-thickness ratios are within scope.\")","v":"Width-to-thickness ratios are within scope."},null,null,null,null,null,null,{"$f":"IF(J28,\"Width-to-thickness ratios are within scope.\",\"\") & IF(P27,\"The channel web is slender.  The section is out-of-scope!\",\"\") & IF(P24,\"  The compsite section web is slender.  The section is out-of-scope!\",\"\")","v":"Width-to-thickness ratios are within scope."}]
[]
[null,null,"Check Bending about the X-X Axis"]
[null,null,"Plastic Moment",null,null,"Mp =",{"$f":"MIN(Z_x*Fy, 1.6*S_xc*Fy)/12","v":1487.5}," kip-ft.",null,"Yield Moment",null,null,"My =",{"$f":"MIN(S_xc, S_xt)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,"  COMPRESSION FLANGE YIELDING"]
[null,null,{"$f":"IF(P23=\"compact\",\"Web plastification factor (F4-9a)\",\"Web plastification factor (F4-9b)\")","v":"Web plastification factor (F4-9a)"},null,null,"Rpc = ",{"$f":"IF(N34<=0.23,1,IF(P23=\"compact\",M_p_CB*12/M_yc,MIN(M_p_CB*12/M_yc-(M_p_CB*12/M_yc-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yc)))","v":0.82068965517241377},null,null,null,null,null,"Iyc/Iy =",{"$f":"I_yc/I_y","v":0.85895975702353833}]
[null,null,"Yield moment (compression)",null,null,"Myc = ",{"$f":"S_xc*Fy","v":21750}," kip-in."]
[null,null,"AISC EQ. F4-1",null,null,"Mnx = RpcMyc =",{"$f":"M_yc*R_pc","v":17850}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING"]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,{"$f":"IF(L_b<=L_p,FALSE,IF(L_b<=L_r,TRUE,FALSE))","v":true},"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"AISC EQ. F4-7",null,null,"Lp = ",{"$f":"1.1*r_t*SQRT(29000/Fy)","v":118.14205881717521}," in.",null,"AISC EQ. F4-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(R_pc*M_yc-(R_pc*M_yc-F_L*S_xc)*(L_b - L_p)/(L_r - L_p)), R_pc*M_yc)","v":14756.187108899268}," kip-in."]
[null,null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi",{"$f":"IF(L_b<=L_p,FALSE,IF(L_b<=L_r,FALSE,TRUE))","v":false},"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,{"$f":"IF(G41<0.7,\"AISC EQ. F4-6b\",\"AISC EQ. F4-6a\")","v":"AISC EQ. F4-6b"},null,null,"FL = ",{"$f":"IF(G41<0.7,MAX(Fy*G41,0.5*Fy),0.7*Fy)","v":30.804597701149426}," ksi",null,"AISC EQ. F4-5",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/r_t)^2*SQRT(1+0.078*J_CB/(S_xc*h_0)*(L_b/r_t)^2),Fy)","v":48.618139684509003}," ksi"]
[null,null,"AISC EQ. F4-8",null,null,"Lr = ",{"$f":"1.95*r_t*(29000/F_L)*SQRT((J_CB/(S_xc*h_0)+SQRT((J_CB/(S_xc*h_0))^2 + 6.76*(F_L/29000)^2)))","v":466.01954079400241}," in.",null,"AISC EQ. F4-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*S_xc,R_pc*M_yc)","v":17850}," kip-in."]
[null,null,"Nominal flexural strength for LTB",null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,G36,IF(L_b<=L_r,N40,N43))","v":14756.187108899268}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(AND(H23=\"Compact\",H26=\"Compact\"),IF(P26=\"Compact\",\"Compression elements are compact, local buckling does not apply.\",\"WF and channel flanges are compact and channel web is noncompact.  Eq. F4-13 applies.\"),\"Out of scope\")","v":"Compression elements are compact, local buckling does not apply."}]
[null,null,{"$f":"IF(AND(H23=\"Compact\",H26=\"Compact\",P26=\"Compact\"),\"AISC EQ. F4-1\",IF(DesignCode=\"LRFD: 2005\",\"AISC EQ. F4-12\",\"AISC EQ. F4-13\"))","v":"AISC EQ. F4-1"},null,null,"Mnx = ",{"$f":"IF(P26=\"compact\",R_pc*M_yc,(R_pc*M_yc - (R_pc*M_yc - F_L*S_xc)*(O26 -O27)/(O28 - O27)))","v":17850}," kip-in."]
[null,null,"  TENSION FLANGE YIELDING"]
[null,null,"Yield moment (tension)",null,null,"Myt = ",{"$f":"S_xt*Fy","v":13400}," kip-in.",null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi"]
[null,null,{"$f":"IF(P23=\"compact\",\"AISC EQ. F4-16a\",\"AISC EQ. F4-16b\")","v":"AISC EQ. F4-16a"},null,null,"Rpt = ",{"$f":"IF(P23=\"compact\",M_p_CB*12/M_yt,MIN(M_p_CB*12/M_yt-(M_p_CB*12/M_yt-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yt))","v":1.3320895522388059}]
[null,null,"AISC EQ. F4-15",null,null,"Mnx = RptMyt",{"$f":"R_pt*M_yt","v":17850}," kip-in."]
[null,null,"Nominal Flexural Strength",null,null,"Mnx = ",{"$f":"MIN(G51,G47,G44,G36)/12","v":1229.6822590749391}," kip-ft."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Alllowable Flexural Strength",null,null,"Mcx = Mnx/W = ",{"$f":"M_nx/1.67","v":736.33668208080189}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*M_nx","v":1106.7140331674452}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.64628893491385053},{"$f":"IF(G55<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.6192236471770789},{"$f":"IF(N55<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange (channel + top flange)"]
[null,null,"Plastic Moment (F2-1)",null,null,"Mny = Mpy = ",{"$f":"Fy*Z_top","v":3471.25}," kip-in."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Allowable Flexural Strength",null,null,"Mcy = Mny/W = ",{"$f":"(M_ny/12)/1.67","v":173.21606786427145}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*M_ny/12","v":260.34375}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.14021793878285924},{"$f":"IF(G61<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.14926726683471375},{"$f":"IF(N61<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Biaxial Bending in the top flange"]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.7865068736967098},{"$f":"IF(AND(G55<=1,G61<=1,G66<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.76849091401179259},{"$f":"IF(AND(N55<=1,N61<=1,N66<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,{"$f":"IF(G70<=G71,FALSE,TRUE)","v":false},"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_tw_wf","v":49.5},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G70<=G71,\"Shear coefficient: AISC EQ. G2-2\",IF(G70<=N70,\"Shear coefficient: AISC EQ. G2-3\",IF(G70<=N71,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G70<=G71,G70<=N70),1,IF(G70<=N71,N70/G70,1.51*29000*k_v/(G70^2*Fy)))","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"d_wf*t_w_wf","v":13.180999999999999},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":395.42999999999995}," kips"]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G70>G71,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(G70>G71,0.9,1)","v":1}]
[null,null,"Allowable Shear Strength",null,null,"Vcx = Vnx/W = ",{"$f":"Vnx/G76","v":263.61999999999995}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":395.42999999999995}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G77","v":0.2985035278051742},{"$f":"IF(G78<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N77","v":0.2869529373087526},{"$f":"IF(N78<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4b for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (Lb/bf) = ",{"$f":"h_tw_wf/(L_b/b_f_wf)","v":1.375},{"$f":"IF(G82<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"MIN(S_xt,S_xc)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Buckling coefficient",null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(M_y),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,"Buckling coefficient",null,null,"Cr = ",{"$f":"(IF(M_ux<(M_y),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G82<=1.7,C_r_ASD*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(G82)^3),\"N/A\")","v":149.15422301530288}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G82<=1.7,C_r_LRFD*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(G82)^3),\"N/A\")","v":149.15422301530288}," kips"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G82<=1.7,G86/G87,\"N/A\")","v":84.746717622331175}," kips",null,"Design Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(G82<=1.7,N87*R_n,\"N/A\")","v":126.78108956300744}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G82<=1.7,P_av/G88,\"N/A\")","v":0.56196866776879839},{"$f":"IF(G82<1.7,IF(G89<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(N82<=1.7,P_uv/N88,\"N/A\")","v":0.54463958495705833},{"$f":"IF(N82<1.7,IF(N89<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2005 or 2010 W","index":5,"n_rows":73,"n_cols":19,"rows_kept":73,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,{"$f":"\"CRANE BEAM DESIGN CHECKS: AISC 360\" & IF(OR(DesignCode=\"LRFD: 2005\",DesignCode=\"ASD: 2005\"),\"-05\",\"-10\")","v":"CRANE BEAM DESIGN CHECKS: AISC 360-10"},null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"Shape_Name_W","v":"W24X146"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\"","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"},null,null,null,{"$f":"Fy","v":50}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN",null,null,null,null,null,null,null,null,{"$f":"Sx_wf","v":371}]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"bf_to_2tf","v":5.92},{"$f":"IF(G22<=G23,\"compact\",IF(AND(G22>G23,G22<=G24),\"noncompact\",\"slender\"))","v":"compact"},null,"Web of W-Shape",null,null,"l = h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},{"$f":"IF(N22<=N23,\"compact\",IF(AND(N22<=N24),\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},{"$f":"IF(H22=\"slender\",FALSE,TRUE)","v":true},null,null,null,null,"Compact Limit  lp = 3.76√(E/Fy) = ",{"$f":"3.76*SQRT(29000/Fy)","v":90.552791232518061},{"$f":"IF(O22=\"compact\",TRUE,FALSE)","v":true},{"$f":"AND(H23,O23)","v":true}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[null,null,{"$f":"IF(AND(H23,O23),\"Width-to-thickness ratios are within scope.\",\"\") & IF(H23=FALSE,\"The WF flange is slender.  The section is out-of-scope!\",\"\") & IF(O23=FALSE,\"  The WF web not compact.  The section is out-of-scope!\",\"\")","v":"Width-to-thickness ratios are within scope."}]
[null,null,"Check Bending about the X-X Axis"]
[null,null,"  YIELDING  Lb < Lp"]
[null,null,"AISC EQ. F2-1",null,null,"Mp = ",{"$f":"Zx_wf*Fy","v":20900}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING",null,null,null,null,null,{"$f":"IF(L_b<=L_p,FALSE,IF(L_b<=L_r,TRUE,FALSE))","v":true},"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in.",null,"AISC EQ. F2-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(Mp_wf-(Mp_wf-0.7*Fy*Sx_wf)*(L_b - L_p)/(L_r - L_p)), Mp_wf)","v":14245.445634961256}," kip-in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,{"$f":"IF(L_b<=L_p,FALSE,IF(L_b<=L_r,FALSE,TRUE))","v":false},"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F2-5",null,null,"Lp = ",{"$f":"1.76*ry_wf*SQRT(29000/Fy)","v":127.58310288122013}," in.",null,"AISC EQ. F2-4",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/rts_wf)^2*SQRT(1+0.078*(J_wf*c_wf)/(Sx_wf*h0_wf)*(L_b/rts_wf)^2),Fy)","v":41.180747572881216}," ksi"]
[null,null,null,null,null,"c =",1,null,null,"AISC EQ. F2-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*Sx_wf,Mp_wf)","v":15278.057349538931}," kip-in."]
[null,null,"AISC EQ. F2-6",null,null,"Lr = ",{"$f":"1.95*rts_wf*(29000/(0.7*Fy))*SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf)+SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf))^2 + 6.76*((0.7*Fy)/29000)^2)))","v":404.02231124651718}," in.",null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,Mp_wf,IF(L_b<=L_r,N30,N33))","v":14245.445634961256}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(H22=\"compact\",\"Compression elements are compact, local buckling does not apply\",\"Calculate compression flange buckling of noncompact flanges\")","v":"Compression elements are compact, local buckling does not apply"}]
[null,null,"AISC EQ. F3-2",null,null,"Mnx = ",{"$f":"IF(H22=\"compact\",Mp_wf,(Mp_wf - (Mp_wf - 0.7*Fy*Sx_wf)*(G22 -G23)/(G24 - G23)))","v":20900}," kip-in."]
[null,null,"Nominal Flexural Strength",null,null,"Mnx = ",{"$f":"MIN(N34,G37,Mp_wf)/12","v":1187.1204695801046}," kip-ft."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Alllowable Moment Strength",null,null,"Mcx = Mnx/W = ",{"$f":"M_nx/1.67","v":710.85058058688901}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*M_nx","v":1068.4084226220941}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.66946030993897643},{"$f":"IF(G41<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.64142465136892524},{"$f":"IF(N41<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,"Check Bending about the Y-Y Axis in the top flange"]
[null,null,"Plastic Moment (F2-1) *",null,null,"Mny = Mpy = ",{"$f":"Fy*Zt_wf","v":2267.3362499999998}," kip-in."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Flexural Design Strength",null,null,"Mcy = Mny/W = ",{"$f":"(M_ny/12)/1.67","v":113.14053143712574}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*M_ny/12","v":170.05021875}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.21467107933373361},{"$f":"IF(G46<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.22852543375513895},{"$f":"IF(N46<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,"* As a conservative simplification the section properties of the top flange are used"]
[null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.88413138927271007},{"$f":"IF(AND(G41<=1,G46<=1,G50<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.86995008512406424},{"$f":"IF(AND(N41<=1,N46<=1,N50<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,{"$f":"IF(G54<=G55,FALSE,TRUE)","v":false},"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G54<=G55,\"Shear coefficient: AISC EQ. G2-2\",IF(G54<=N54,\"Shear coefficient: AISC EQ. G2-3\",IF(G54<=N55,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G54<=G55,G54<=N54),1,IF(G54<=N55,N54/G54,1.51*29000*k_v/(G54^2*Fy)))","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"dwf*tw_wf","v":16.055},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":481.65}," kips"]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G54>G55,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(G54>G55,0.9,1)","v":1}]
[null,null,"Shear Design Strength",null,null,"Vcx = Vnx/W = ",{"$f":"Vnx/G60","v":321.09999999999997}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":481.65}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G61","v":0.24506851448146999},{"$f":"IF(G62<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N61","v":0.23558559119692729},{"$f":"IF(N62<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_to_tw_wf/(L_b/bf_wf)","v":1.1896666666666669},{"$f":"IF(G66<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"Fy*Sx_wf/12","v":1545.8333333333333}," kip-in."]
[null,null,"ASD",null,null,null,null,null,null,"LRFD"]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(M_y),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,null,null,null,"Cr = ",{"$f":"(IF(M_ux<(M_y),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G66<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(G66)^3),\"N/A\")","v":417.91613418186699}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G66<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(G66)^3),\"N/A\")","v":417.91613418186699}," kips"]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G66<=1.7,G71/G70,\"N/A\")","v":237.45234896696988}," kips",null,"Available Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(G66<=1.7,N70*N71,\"N/A\")","v":355.22871405458693}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G66<=1.7,P_av/G72,\"N/A\")","v":0.20056655664680217},{"$f":"IF(G66<1.7,IF(G73<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(G66<=1.7,P_uv/N72,\"N/A\")","v":0.1943818088686077},{"$f":"IF(G66<1.7,IF(N73<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2005","index":6,"n_rows":98,"n_cols":16,"rows_kept":98,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CRANE BEAM DESIGN CHECKS: AISC 360-05",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"IF(ShapeType<2,Shape_Name_WC,Shape_WC_cust)","v":"W27x94 C15x33.9"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Flanges of W-Shape (Case 1)",null,null,"l = (bf/2tf)w = ",{"$f":"b_2tf_wf","v":6.7},{"$f":"IF(G23<=G24,\"compact\",IF(G23<=G25,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Composite Section (Case 16)",null,null,null,"l = hc/tw = ",{"$f":"hc_tw","v":35.346938775510203},{"$f":"IF(O23<=O24,\"compact\",IF(O23<=O25,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,null,"Compact Limit  lp = (hc/hp)(E/Fy)/[0.54(Mp/My) - 0.09]2 ≤ lr  = ",{"$f":"MIN((hc/hp)*SQRT(29000/Fy)/(0.54*M_p_CB/M_y_CB - 0.09)^2,O25)","v":137.27417819823216},{"$f":"IF(P23=\"slender\",TRUE, FALSE)","v":false}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[null,null,"Flanges of Channel (Case 1)",null,null,"l = (bf/tf)c = ",{"$f":"bf_tf_ch","v":5.2307692307692308},{"$f":"IF(G26<=G27,\"compact\",IF(G26<=G28,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Channel (Case 18)",null,null,null,"l = bf_wf/tw_ch = ",{"$f":"b_f_wf/t_w_ch","v":25},{"$f":"IF(O26<=O27,\"compact\",IF(O26<=O28,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,null,"Compact Limit  lp = 1.12√(E/Fy) = ",{"$f":"1.12*SQRT(29000/Fy)","v":26.973171856494744},{"$f":"IF(P26=\"slender\",TRUE, FALSE)","v":false}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,{"$f":"AND(P27=FALSE,P24=FALSE)","v":true},null,null,null,"Noncompact Limit  lr = 1.40√(E/Fy) = ",{"$f":"1.4*SQRT(29000/Fy)","v":33.716464820618427}]
[null,{"$f":"IF(OR(H23<>\"Compact\",H26<>\"Compact\"),TRUE, FALSE)","v":false},{"$f":"IF(B29,\"The channel or beam flange is not compact.  The section is out-of-scope!\",\"Width-to-thickness ratios are within scope.\")","v":"Width-to-thickness ratios are within scope."},null,null,null,null,null,null,{"$f":"IF(J28,\"Width-to-thickness ratios are within scope.\",\"\") & IF(P27,\"The channel web is slender.  The section is out-of-scope!\",\"\") & IF(P24,\"  The compsite section web is slender.  The section is out-of-scope!\",\"\")","v":"Width-to-thickness ratios are within scope."}]
[]
[null,null,"Check Bending about the X-X Axis",null,null,null,null,null,null,"Check Bending about the X-X Axis"]
[null,null,"Plastic Moment",null,null,"Mp =",{"$f":"MIN(Z_x*Fy, 1.6*S_xc*Fy)/12","v":1487.5}," kip-ft.",null,"Plastic Moment",null,null,"Mp =",{"$f":"MIN(Z_x*Fy, 1.6*S_xc*Fy)/12","v":1487.5}," kip-ft."]
[null,null,"Yield Moment",null,null,"My =",{"$f":"MIN(S_xc, S_xt)*Fy/12","v":1116.6666666666667}," kip-ft.",null,"Yield Moment",null,null,"My =",{"$f":"MIN(S_xc, S_xt)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in.",null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in."]
[null,null," Determine Limiting Lateral Unbraced Lengths",null,null,null,null,null,null," Determine Limiting Lateral Unbraced Lengths"]
[null,null,"AISC EQ. F4-7",null,null,"Lp = ",{"$f":"1.1*r_t*SQRT(29000/Fy)","v":118.14205881717521}," in.",null,"AISC EQ. F4-7",null,null,"Lp = ",{"$f":"1.1*r_t*SQRT(29000/Fy)","v":118.14205881717521}," in."]
[null,null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi",null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi"]
[null,null,{"$f":"IF(G37<0.7,\"AISC EQ. F4-6b\",\"AISC EQ. F4-6a\")","v":"AISC EQ. F4-6b"},null,null,"FL = ",{"$f":"IF(G37<0.7,MAX(Fy*G37,0.5*Fy),0.7*Fy)","v":30.804597701149426}," ksi",null,{"$f":"IF(N37<0.7,\"AISC EQ. F4-6b\",\"AISC EQ. F4-6a\")","v":"AISC EQ. F4-6b"},null,null,"FL = ",{"$f":"IF(N37<0.7,MAX(Fy*N37,0.5*Fy),0.7*Fy)","v":30.804597701149426}," ksi"]
[]
[null,null,"AISC EQ. F4-8",null,null,"Lr = ",{"$f":"1.95*r_t*(29000/F_L)*SQRT((J_CB/(S_xc*h_0)+SQRT((J_CB/(S_xc*h_0))^2 + 6.76*(F_L/29000)^2)))","v":466.01954079400241}," in.",null,"AISC EQ. F4-8",null,null,"Lr = ",{"$f":"1.95*r_t*(29000/F_L)*SQRT((J_CB/(S_xc*h_0)+SQRT((J_CB/(S_xc*h_0))^2 + 6.76*(F_L/29000)^2)))","v":466.01954079400241}," in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,null,"Bending Coefficient",null,null,"Cb = ",1]
[null,null,"  COMPRESSION FLANGE YIELDING  Lb < Lp",null,null,null,null,null,null,"  COMPRESSION FLANGE YIELDING  Lb < Lp"]
[null,null,null,null,null,"Iyc/Iy =",{"$f":"I_yc/I_y","v":0.85895975702353833},null,null,null,null,null,"Iyc/Iy =",{"$f":"I_yc/I_y","v":0.85895975702353833}]
[null,null,{"$f":"IF(P23=\"compact\",\"Web plastification factor (F4-9a)\",\"Web plastification factor (F4-9b)\")","v":"Web plastification factor (F4-9a)"},null,null,"Rpc = ",{"$f":"IF(G43<=0.23,1,IF(P23=\"compact\",M_p_CB*12/M_yc,MIN(M_p_CB*12/M_yc-(M_p_CB*12/M_yc-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yc)))","v":0.82068965517241377},null,null,{"$f":"IF(P23=\"compact\",\"Web plastification factor (F4-9a)\",\"Web plastification factor (F4-9b)\")","v":"Web plastification factor (F4-9a)"},null,null,"Rpc = ",{"$f":"IF(N43<=0.23,1,IF(P23=\"compact\",M_p_CB*12/M_yc,MIN(M_p_CB*12/M_yc-(M_p_CB*12/M_yc-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yc)))","v":0.82068965517241377}]
[null,null,"Yield moment (compression)",null,null,"Myc = ",{"$f":"S_xc*Fy","v":21750}," kip-in.",null,"Yield moment (compression)",null,null,"Myc = ",{"$f":"S_xc*Fy","v":21750}," kip-in."]
[null,null,"AISC EQ. F4-1",null,null,"Mnx = RpcMyc =",{"$f":"M_yc*R_pc","v":17850}," kip-in.",null,"AISC EQ. F4-1",null,null,"Mnx = RpcMyc",{"$f":"M_yc*R_pc","v":17850}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"AISC EQ. F4-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(R_pc*M_yc-(R_pc*M_yc-F_L*S_xc)*(L_b - L_p)/(L_r - L_p)), R_pc*M_yc)","v":14756.187108899268}," kip-in.",null,"AISC EQ. F4-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(R_pc*M_yc-(R_pc*M_yc-F_L*S_xc)*(L_b - L_p)/(L_r - L_p)), R_pc*M_yc)","v":14756.187108899268}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F4-5",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/r_t)^2*SQRT(1+0.078*J_CB/(S_xc*h_0)*(L_b/r_t)^2),Fy)","v":48.618139684509003}," ksi",null,"AISC EQ. F4-5",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/r_t)^2*SQRT(1+0.078*J_CB/(S_xc*h_0)*(L_b/r_t)^2),Fy)","v":48.618139684509003}," ksi"]
[null,null,"AISC EQ. F4-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*S_xc,R_pc*M_yc)","v":17850}," kip-in.",null,"AISC EQ. F4-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*S_xc,R_pc*M_yc)","v":17850}," kip-in."]
[null,null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,G46,IF(L_b<=L_r,G48,G51))","v":14756.187108899268}," kip-in.",null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,N46,IF(L_b<=L_r,N48,N51))","v":14756.187108899268}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING",null,null,null,null,null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(AND(H23=\"Compact\",H26=\"Compact\"),IF(P26=\"Compact\",\"Compression elements are compact, local buckling does not apply.\",\"WF and channel flanges are compact and channel web is noncompact.  Eq. F4-13 applies.\"),\"Out of scope\")","v":"Compression elements are compact, local buckling does not apply."},null,null,null,null,null,null,{"$f":"IF(AND(H23=\"Compact\",H26=\"Compact\"),IF(P26=\"Compact\",\"Compression elements are compact, local buckling does not apply.\",\"WF and channel flanges are compact and channel web is noncompact.  Eq. F4-13 applies.\"),\"Out of scope\")","v":"Compression elements are compact, local buckling does not apply."}]
[null,null,{"$f":"IF(AND(H23=\"Compact\",H26=\"Compact\",P26=\"Compact\"),\"AISC EQ. F4-1\",IF(DesignCode=\"LRFD: 2005\",\"AISC EQ. F4-12\",\"AISC EQ. F4-13\"))","v":"AISC EQ. F4-1"},null,null,"Mnx = ",{"$f":"IF(P26=\"compact\",R_pc*M_yc,(R_pc*M_yc - (R_pc*M_yc - F_L*S_xc)*(O26 -O27)/(O28 - O27)))","v":17850}," kip-in.",null,"AISC EQ. F4-13",null,null,"Mnx = ",{"$f":"IF(P26=\"compact\",R_pc*M_yc,(R_pc*M_yc - (R_pc*M_yc - F_L*S_xc)*(O26 -O27)/(O28 - O27)))","v":17850}," kip-in."]
[]
[null,null,"  TENSION FLANGE YIELDING",null,null,null,null,null,null,"  TENSION FLANGE YIELDING"]
[null,null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi",null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi"]
[null,null,"Yield moment (tension)",null,null,"Myt = ",{"$f":"S_xt*Fy","v":13400}," kip-in.",null,"Yield moment (tension)",null,null,"Myt = ",{"$f":"S_xt*Fy","v":13400}," kip-in."]
[null,null,{"$f":"IF(P23=\"compact\",\"AISC EQ. F4-16a\",\"AISC EQ. F4-16b\")","v":"AISC EQ. F4-16a"},null,null,"Rpt = ",{"$f":"IF(P23=\"compact\",M_p_CB*12/M_yt,MIN(M_p_CB*12/M_yt-(M_p_CB*12/M_yt-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yt))","v":1.3320895522388059},null,null,{"$f":"IF(P23=\"compact\",\"AISC EQ. F4-16a\",\"AISC EQ. F4-16b\")","v":"AISC EQ. F4-16a"},null,null,"Rpt = ",{"$f":"IF(P23=\"compact\",M_p_CB*12/M_yt,MIN(M_p_CB*12/M_yt-(M_p_CB*12/M_yt-1)*(O23- O24)/(O25 - O24), M_p_CB*12/M_yt))","v":1.3320895522388059}]
[null,null,"AISC EQ. F4-15",null,null,"Mnx = RptMyt",{"$f":"R_pt*M_yt","v":17850}," kip-in.",null,"AISC EQ. F4-15",null,null,"Mnx = RptMyt",{"$f":"R_pt*M_yt","v":17850}," kip-in."]
[]
[null,null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(G61,G55,G52,G46)/12","v":1229.6822590749391}," kip-ft.",null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(N61,N55,N52,N46)/12","v":1229.6822590749391}," kip-ft."]
[null,null,"Alllowable Moment Strength",null,null,"Mcx = Mnx/W = ",{"$f":"G63/1.67","v":736.33668208080189}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*N63","v":1106.7140331674452}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.64628893491385053},{"$f":"IF(G65<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.6192236471770789},{"$f":"IF(N65<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange (channel + top flange)",null,null,null,null,null,null,"Check Bending about the Y-Y Axis in the top flange (channel + top flange)"]
[null,null,"Plastic Moment (F2-1)",null,null,"Mpy = ",{"$f":"Fy*Z_top","v":3471.25}," kip-in.",null,"Plastic Moment (F2-1)",null,null,"Mpy = ",{"$f":"Fy*Z_top","v":3471.25}," kip-in."]
[null,null,"Flexural Design Strength",null,null,"Mcy = Mny/W = ",{"$f":"(G68/12)/1.67","v":173.21606786427145}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*N68/12","v":260.34375}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.14021793878285924},{"$f":"IF(G70<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.14926726683471375},{"$f":"IF(N70<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Biaxial Bending in the top flange",null,null,null,null,null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.7865068736967098},{"$f":"IF(AND(G65<=1,G70<=1,G74<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.76849091401179259},{"$f":"IF(AND(N65<=1,N70<=1,N74<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis",null,null,null,null,null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,null,"Evaluate using the shear strength of the WF beam alone"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_tw_wf","v":49.5},null,null,null,null,null,"h/tw = ",{"$f":"h_tw_wf","v":49.5}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488}]
[null,null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners",null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v_ASD*29000/Fy)","v":59.236812878479547},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v_ASD*29000/Fy)","v":73.776757857742709},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G78<=G79,\"Shear coefficient: AISC EQ. G2-2\",IF(G78<=G81,\"Shear coefficient: AISC EQ. G2-3\",IF(G78<=G82,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G78<=G79,G78<=G81),1,IF(G78<=G82,G81/G78,1.51*29000*k_v/(G78^2*Fy)))","v":1},null,null,{"$f":"IF(N78<=N79,\"Shear coefficient: AISC EQ. G2-2\",IF(N78<=N81,\"Shear coefficient: AISC EQ. G2-3\",IF(N78<=N82,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(N78<=N79,N78<=N81),1,IF(N78<=N82,N81/N78,1.51*29000*k_v/(N78^2*Fy)))","v":1}]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G78>G79,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(N78>N79,0.9,1)","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"d_wf*t_w_wf","v":13.180999999999999},"in.2",null,"Shear area",null,null,"Aw = ",{"$f":"d_wf*t_w_wf","v":13.180999999999999},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":395.42999999999995}," kips",null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":395.42999999999995}," kips"]
[null,null,"Shear Design Strength",null,null,"Vcx = Vnx/W = ",{"$f":"G86/G84","v":263.61999999999995}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":395.42999999999995}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G87","v":0.2985035278051742},{"$f":"IF(G88<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N87","v":0.2869529373087526},{"$f":"IF(N88<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling",null,null,null,null,null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4b for compression flange not restrained against rotation",null,null,null,null,null,null,"AISC Section J10.4b for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_tw_wf/(L_b/b_f_wf)","v":1.375},{"$f":"IF(G92<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"},null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_tw_wf/(L_b/b_f_wf)","v":1.375},{"$f":"IF(N92<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"MIN(S_xt,S_xc)*Fy/12","v":1116.6666666666667}," kip-ft.",null,null,null,null,"My = ",{"$f":"MIN(S_xt,S_xc)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(M_y),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,null,null,null,"Cr = ",{"$f":"(IF(M_ux<(M_y),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G92<=1.7,C_r*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(G92)^3),\"N/A\")","v":149.15422301530288}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(N92<=1.7,C_r*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(N92)^3),\"N/A\")","v":149.15422301530288}," kips"]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G92<=1.7,G96/G95,\"N/A\")","v":84.746717622331175}," kips",null,"Available Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(N92<=1.7,N95*N96,\"N/A\")","v":126.78108956300744}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G92<=1.7,P_av/G97,\"N/A\")","v":0.56196866776879839},{"$f":"IF(G92<1.7,IF(G98<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(N92<=1.7,P_uv/N97,\"N/A\")","v":0.54463958495705833},{"$f":"IF(N92<1.7,IF(N98<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2010","index":7,"n_rows":101,"n_cols":19,"rows_kept":101,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CRANE BEAM DESIGN CHECKS: AISC 360-10",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"IF(ShapeType<2,Shape_Name_WC,Shape_WC_cust)","v":"W27x94 C15x33.9"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"IF(ShapeType>1,\"User Defined Properties\",VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\")","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling",null,null,null,null,null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,null,null,"LIMITED TO BEAMS WITH COMPACT or NONCOMPACT WEBS"]
[null,null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"b_2tf_wf","v":6.7},{"$f":"IF(G23<=G25,\"compact\",IF(G23<=G26,\"noncompact\",\"slender\"))","v":"compact"},null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"b_2tf_wf","v":6.7},{"$f":"IF(N23<=N25,\"compact\",IF(N23<=N26,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,"Flanges of Channel",null,null,"l = (bf/tf)c = ",{"$f":"bf_tf_ch","v":5.2307692307692308},{"$f":"IF(G24<=G25,\"compact\",IF(G24<=G26,\"noncompact\",\"slender\"))","v":"compact"},null,"Flanges of Channel",null,null,"l = (bf/tf)c = ",{"$f":"bf_tf_ch","v":5.2307692307692308},{"$f":"IF(N24<=N25,\"compact\",IF(N24<=N26,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592}]
[null,null,"  STIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Web of Composite Section",null,null,"l = hc/tw = ",{"$f":"hc_tw","v":35.346938775510203},{"$f":"IF(G28<=G29,\"compact\",IF(G28<=G30,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Composite Section",null,null,"l = hc/tw = ",{"$f":"hc_tw","v":35.346938775510203},{"$f":"IF(N28<=N29,\"compact\",IF(N28<=N30,\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lp (Case 16) =",{"$f":"MIN((hc/hp)*SQRT(29000/Fy)/(0.54*M_p_CB/M_y_CB - 0.09)^2,G30)","v":137.27417819823216},null,null,null,null,null,"Compact Limit  lp (Case 16) =",{"$f":"MIN((hc/hp)*SQRT(29000/Fy)/(0.54*M_p_CB/M_y_CB - 0.09)^2,N30)","v":137.27417819823216}]
[null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216},null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[null,null,"Web of Channel",null,null,"l = bf_wf/tw_ch = ",{"$f":"b_f_wf/t_w_ch","v":25},{"$f":"IF(G31<=G32,\"compact\",IF(G31<=G33,\"noncompact\",\"slender\"))","v":"compact"},null,"Web of Channel",null,null,"l = bf_wf/tw_ch = ",{"$f":"b_f_wf/t_w_ch","v":25},{"$f":"IF(N31<=N32,\"compact\",IF(N31<=N33,\"noncompact\",\"slender\"))","v":"compact"},null,null,null,"LIMITED TO CHANNELS WITH COMPACT or NONCOMPACT WEBS"]
[null,null,null,null,null,"Compact Limit  lp = 1.12√(E/Fy) = ",{"$f":"1.12*SQRT(29000/Fy)","v":26.973171856494744},null,null,null,null,null,"Compact Limit  lp = 1.12√(E/Fy) = ",{"$f":"1.12*SQRT(29000/Fy)","v":26.973171856494744}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.40√(E/Fy) = ",{"$f":"1.4*SQRT(29000/Fy)","v":33.716464820618427},null,null,null,null,null,"Noncompact Limit  lr = 1.40√(E/Fy) = ",{"$f":"1.4*SQRT(29000/Fy)","v":33.716464820618427}]
[null,null,{"$f":"IF(OR(H23<>\"Compact\",H24<>\"Compact\"),\"The channel or beam flange is not compact.  The section is out-of-scope\",\"\")","v":""},null,null,null,null,null,null,{"$f":"IF(OR(O23<>\"Compact\",O24<>\"Compact\"),\"The channel or beam flange is not compact.  The section is out-of-scope\",\"\")","v":""}]
[null,null,"Check Bending about the X-X Axis",null,null,null,null,null,null,"Check Bending about the X-X Axis"]
[null,null,"Plastic Moment",null,null,"Mp =",{"$f":"MIN(Z_x*Fy, 1.6*S_xc*Fy)/12","v":1487.5}," kip-ft.",null,"Plastic Moment",null,null,"Mp =",{"$f":"MIN(Z_x*Fy, 1.6*S_xc*Fy)/12","v":1487.5}," kip-ft."]
[null,null,"Yield Moment",null,null,"My =",{"$f":"MIN(S_xc, S_xt)*Fy/12","v":1116.6666666666667}," kip-ft.",null,"Yield Moment",null,null,"My =",{"$f":"MIN(S_xc, S_xt)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in.",null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in."]
[null,null," Determine Limiting Lateral Unbraced Lengths",null,null,null,null,null,null," Determine Limiting Lateral Unbraced Lengths"]
[null,null,"AISC EQ. F4-7",null,null,"Lp = ",{"$f":"1.1*r_t*SQRT(29000/Fy)","v":118.14205881717521}," in.",null,"AISC EQ. F4-7",null,null,"Lp = ",{"$f":"1.1*r_t*SQRT(29000/Fy)","v":118.14205881717521}," in."]
[null,null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi",null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi"]
[null,null,{"$f":"IF(G41<0.7,\"AISC EQ. F4-6b\",\"AISC EQ. F4-6a\")","v":"AISC EQ. F4-6b"},null,null,"FL = ",{"$f":"IF(G41<0.7,MAX(Fy*G41,0.5*Fy),0.7*Fy)","v":30.804597701149426}," ksi",null,{"$f":"IF(N41<0.7,\"AISC EQ. F4-6b\",\"AISC EQ. F4-6a\")","v":"AISC EQ. F4-6b"},null,null,"FL = ",{"$f":"IF(N41<0.7,MAX(Fy*N41,0.5*Fy),0.7*Fy)","v":30.804597701149426}," ksi"]
[]
[null,null,"AISC EQ. F4-8",null,null,"Lr = ",{"$f":"1.95*r_t*(29000/F_L)*SQRT((J_CB/(S_xc*h_0)+SQRT((J_CB/(S_xc*h_0))^2 + 6.76*(F_L/29000)^2)))","v":466.01954079400241}," in.",null,"AISC EQ. F4-8",null,null,"Lr = ",{"$f":"1.95*r_t*(29000/F_L)*SQRT((J_CB/(S_xc*h_0)+SQRT((J_CB/(S_xc*h_0))^2 + 6.76*(F_L/29000)^2)))","v":466.01954079400241}," in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,null,"Bending Coefficient",null,null,"Cb = ",1]
[null,null,"  COMPRESSION FLANGE YIELDING  Lb < Lp",null,null,null,null,null,null,"  COMPRESSION FLANGE YIELDING  Lb < Lp"]
[null,null,null,null,null,"Iyc/Iy =",{"$f":"I_yc/I_y","v":0.85895975702353833},null,null,null,null,null,"Iyc/Iy =",{"$f":"I_yc/I_y","v":0.85895975702353833}]
[null,null,{"$f":"IF(H28=\"compact\",\"Web plastification factor (F4-9a)\",\"Web plastification factor (F4-9b)\")","v":"Web plastification factor (F4-9a)"},null,null,"Rpc = ",{"$f":"IF(G47<=0.23,1,IF(H28=\"compact\",M_p_CB*12/M_yc,MIN(M_p_CB*12/M_yc-(M_p_CB*12/M_yc-1)*(G28- G29)/(G30 - G29), M_p_CB*12/M_yc)))","v":0.82068965517241377},null,null,{"$f":"IF(O28=\"compact\",\"Web plastification factor (F4-9a)\",\"Web plastification factor (F4-9b)\")","v":"Web plastification factor (F4-9a)"},null,null,"Rpc = ",{"$f":"IF(N47<=0.23,1,IF(O28=\"compact\",M_p_CB*12/M_yc,MIN(M_p_CB*12/M_yc-(M_p_CB*12/M_yc-1)*(N28- N29)/(N30 - N29), M_p_CB*12/M_yc)))","v":0.82068965517241377}]
[null,null,"Yield moment (compression)",null,null,"Myc = ",{"$f":"S_xc*Fy","v":21750}," kip-in.",null,"Yield moment (compression)",null,null,"Myc = ",{"$f":"S_xc*Fy","v":21750}," kip-in."]
[null,null,"AISC EQ. F4-1",null,null,"Mnx = RpcMyc",{"$f":"M_yc*R_pc","v":17850}," kip-in.",null,"AISC EQ. F4-1",null,null,"Mnx = RpcMyc",{"$f":"M_yc*R_pc","v":17850}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"AISC EQ. F4-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(R_pc*M_yc-(R_pc*M_yc-F_L*S_xc)*(L_b - L_p)/(L_r - L_p)), R_pc*M_yc)","v":14756.187108899268}," kip-in.",null,"AISC EQ. F4-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(R_pc*M_yc-(R_pc*M_yc-F_L*S_xc)*(L_b - L_p)/(L_r - L_p)), R_pc*M_yc)","v":14756.187108899268}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F4-5",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/r_t)^2*SQRT(1+0.078*J_CB/(S_xc*h_0)*(L_b/r_t)^2),Fy)","v":48.618139684509003}," ksi",null,"AISC EQ. F4-5",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/r_t)^2*SQRT(1+0.078*J_CB/(S_xc*h_0)*(L_b/r_t)^2),Fy)","v":48.618139684509003}," ksi"]
[null,null,"AISC EQ. F4-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*S_xc,R_pc*M_yc)","v":17850}," kip-in.",null,"AISC EQ. F4-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*S_xc,R_pc*M_yc)","v":17850}," kip-in."]
[null,null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,G50,IF(L_b<=L_r,G52,G55))","v":14756.187108899268}," kip-in.",null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,N50,IF(L_b<=L_r,N52,N55))","v":14756.187108899268}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING",null,null,null,null,null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(AND(H23=\"Compact\",H24=\"Compact\"),IF(H31=\"Compact\",\"Compression elements are compact, local buckling does not apply.\",\"WF and channel flanges are compact and channel web is noncompact.  Eq. F4-13 applies.\"),\"Out of scope\")","v":"Compression elements are compact, local buckling does not apply."},null,null,null,null,null,null,{"$f":"IF(AND(O23=\"Compact\",O24=\"Compact\"),IF(O31=\"Compact\",\"Compression elements are compact, local buckling does not apply.\",\"WF and channel flanges are compact and channel web is noncompact.  Eq. F4-13 applies.\"),\"Out of scope\")","v":"Compression elements are compact, local buckling does not apply."}]
[null,null,"AISC EQ. F4-13",null,null,"Mnx = ",{"$f":"IF(H31=\"compact\",R_pc*M_yc,(R_pc*M_yc - (R_pc*M_yc - F_L*S_xc)*(G31 -G32)/(G33 - G32)))","v":17850}," kip-in.",null,"AISC EQ. F4-13",null,null,"Mnx = ",{"$f":"IF(O31=\"compact\",R_pc*M_yc,(R_pc*M_yc - (R_pc*M_yc - F_L*S_xc)*(N31 -N32)/(N33 - N32)))","v":17850}," kip-in."]
[null,null,"  TENSION FLANGE YIELDING",null,null,null,null,null,null,"  TENSION FLANGE YIELDING"]
[null,null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi",null,null,null,null,"Sxt/Sxc =",{"$f":"S_xt/S_xc","v":0.61609195402298855}," ksi"]
[null,null,"Yield moment (tension)",null,null,"Myt = ",{"$f":"S_xt*Fy","v":13400}," kip-in.",null,"Yield moment (tension)",null,null,"Myt = ",{"$f":"S_xt*Fy","v":13400}," kip-in."]
[null,null,{"$f":"IF(H28=\"compact\",\"AISC EQ. F4-16a\",\"AISC EQ. F4-16b\")","v":"AISC EQ. F4-16a"},null,null,"Rpt = ",{"$f":"IF(H28=\"compact\",M_p_CB*12/M_yt,MIN(M_p_CB*12/M_yt-(M_p_CB*12/M_yt-1)*(G28- G29)/(G30 - G29), M_p_CB*12/M_yt))","v":1.3320895522388059},null,null,{"$f":"IF(O28=\"compact\",\"AISC EQ. F4-16a\",\"AISC EQ. F4-16b\")","v":"AISC EQ. F4-16a"},null,null,"Rpt = ",{"$f":"IF(O28=\"compact\",M_p_CB*12/M_yt,MIN(M_p_CB*12/M_yt-(M_p_CB*12/M_yt-1)*(N28- N29)/(N30 - N29), M_p_CB*12/M_yt))","v":1.3320895522388059}]
[null,null,"AISC EQ. F4-15",null,null,"Mnx = RptMyt",{"$f":"R_pt*M_yt","v":17850}," kip-in.",null,"AISC EQ. F4-15",null,null,"Mnx = RptMyt",{"$f":"R_pt*M_yt","v":17850}," kip-in."]
[]
[null,null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(G64,G59,G56,G50)/12","v":1229.6822590749391}," kip-ft.",null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(N64,N59,N56,N50)/12","v":1229.6822590749391}," kip-ft."]
[null,null,"Alllowable Moment Strength",null,null,"Mcx = Mnx/W = ",{"$f":"G66/1.67","v":736.33668208080189}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*N66","v":1106.7140331674452}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.64628893491385053},{"$f":"IF(G68<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.6192236471770789},{"$f":"IF(N68<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange (channel + top flange)",null,null,null,null,null,null,"Check Bending about the Y-Y Axis in the top flange (channel + top flange)"]
[null,null,"Plastic Moment (F2-1)",null,null,"Mpy = ",{"$f":"Fy*Z_top","v":3471.25}," kip-in.",null,"Plastic Moment (F2-1)",null,null,"Mpy = ",{"$f":"Fy*Z_top","v":3471.25}," kip-in."]
[null,null,"Flexural Design Strength",null,null,"Mcy = Mny/W = ",{"$f":"(G71/12)/1.67","v":173.21606786427145}," kip-ft.  ( W = 1.67 )",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*N71/12","v":260.34375}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.14021793878285924},{"$f":"IF(G73<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.14926726683471375},{"$f":"IF(N73<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Biaxial Bending in the top flange",null,null,null,null,null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.7865068736967098},{"$f":"IF(AND(G68<=1,G73<=1,G77<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.76849091401179259},{"$f":"IF(AND(N68<=1,N73<=1,N77<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis",null,null,null,null,null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,null,"Evaluate using the shear strength of the WF beam alone"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_tw_wf","v":49.5},null,null,null,null,null,"h/tw = ",{"$f":"h_tw_wf","v":49.5}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488}]
[null,null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners",null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v_ASD*29000/Fy)","v":59.236812878479547},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v_ASD*29000/Fy)","v":73.776757857742709},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G81<=G82,\"Shear coefficient: AISC EQ. G2-2\",IF(G81<=G84,\"Shear coefficient: AISC EQ. G2-3\",IF(G81<=G85,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G81<=G82,G81<=G84),1,IF(G81<=G85,G84/G81,1.51*29000*k_v/(G81^2*Fy)))","v":1},null,null,{"$f":"IF(N81<=N82,\"Shear coefficient: AISC EQ. G2-2\",IF(N81<=N84,\"Shear coefficient: AISC EQ. G2-3\",IF(N81<=N85,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(N81<=N82,N81<=N84),1,IF(N81<=N85,N84/N81,1.51*29000*k_v/(N81^2*Fy)))","v":1}]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G81>G82,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(N81>N82,0.9,1)","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"d_wf*t_w_wf","v":13.180999999999999},"in.2",null,"Shear area",null,null,"Aw = ",{"$f":"d_wf*t_w_wf","v":13.180999999999999},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":395.42999999999995}," kips",null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":395.42999999999995}," kips"]
[null,null,"Shear Design Strength",null,null,"Vcx = Vnx/W = ",{"$f":"G89/G87","v":263.61999999999995}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":395.42999999999995}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G90","v":0.2985035278051742},{"$f":"IF(G91<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N90","v":0.2869529373087526},{"$f":"IF(N91<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling",null,null,null,null,null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation",null,null,null,null,null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_tw_wf/(L_b/b_f_wf)","v":1.375},{"$f":"IF(G95<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"},null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_tw_wf/(L_b/b_f_wf)","v":1.375},{"$f":"IF(N95<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"MIN(S_xt,S_xc)*Fy/12","v":1116.6666666666667}," kip-ft.",null,null,null,null,"My = ",{"$f":"MIN(S_xt,S_xc)*Fy/12","v":1116.6666666666667}," kip-ft."]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(Fy*MIN(S_xc,S_xt)),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,null,null,null,"Cr = ",{"$f":"(IF(M_ux<(Fy*MIN(S_xc,S_xt)),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G95<=1.7,C_r*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(G95)^3),\"N/A\")","v":149.15422301530288}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(N95<=1.7,C_r*t_w_wf^3*t_f_wf/h_wf^2*(0.4*(N95)^3),\"N/A\")","v":149.15422301530288}," kips"]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G95<=1.7,G99/G98,\"N/A\")","v":84.746717622331175}," kips",null,"Available Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(N95<=1.7,N98*N99,\"N/A\")","v":126.78108956300744}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G95<=1.7,P_av/G100,\"N/A\")","v":0.56196866776879839},{"$f":"IF(G95<1.7,IF(G101<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(N95<=1.7,P_uv/N100,\"N/A\")","v":0.54463958495705833},{"$f":"IF(N95<1.7,IF(N101<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2005 W","index":8,"n_rows":85,"n_cols":19,"rows_kept":85,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CRANE BEAM DESIGN CHECKS: AISC 360-05",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"Shape_Name_W","v":"W24X146"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\"","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN"]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel",null,null,null,{"$f":"Fy","v":50}]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side",null,null,null,{"$f":"Sx_wf","v":371}]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling",null,null,null,null,null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,null,null,"LIMITED TO BEAMS WITH COMPACT or NONCOMPACT FLANGES"]
[null,null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"bf_to_2tf","v":5.92},{"$f":"IF(G23<=G24,\"compact\",IF(AND(G23>G24,G23<=G25),\"noncompact\",\"slender\"))","v":"compact"},null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"bf_to_2tf","v":5.92},{"$f":"IF(N23<=N24,\"compact\",IF(AND(N23>N24,N23<=N25),\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592}]
[null,null,"  STIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Web of W-Shape",null,null,"l = h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},{"$f":"IF(G27<=G28,\"compact\",IF(AND(G27<=G29),\"noncompact\",\"slender\"))","v":"compact"},null,"Web of W-Shape",null,null,"l = h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},{"$f":"IF(N27<=N28,\"compact\",IF(AND(N27<=N29),\"noncompact\",\"slender\"))","v":"compact"},null,null,null,"LIMITED TO BEAMS WITH COMPACT WEBS"]
[null,null,null,null,null,"Compact Limit  lp = 3.76√(E/Fy) = ",{"$f":"3.76*SQRT(29000/Fy)","v":90.552791232518061},null,null,null,null,null,"Compact Limit  lp = 3.76√(E/Fy) = ",{"$f":"3.76*SQRT(29000/Fy)","v":90.552791232518061}]
[null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216},null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[]
[null,null,"Check Bending about the X-X Axis",null,null,null,null,null,null,"Check Bending about the X-X Axis"]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in.",null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in."]
[null,null," Determine Limiting Lateral Unbraced Lengths",null,null,null,null,null,null," Determine Limiting Lateral Unbraced Lengths"]
[null,null,"AISC EQ. F2-5",null,null,"Lp = ",{"$f":"1.76*ry_wf*SQRT(29000/Fy)","v":127.58310288122013}," in.",null,"AISC EQ. F2-5",null,null,"Lp = ",{"$f":"1.76*ry_wf*SQRT(29000/Fy)","v":127.58310288122013}," in."]
[null,null,null,null,null,"c =",1,null,null,null,null,null,"c =",1]
[null,null,"AISC EQ. F2-6",null,null,"Lr = ",{"$f":"1.95*rts_wf*(29000/(0.7*Fy))*SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf)+SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf))^2 + 6.76*((0.7*Fy)/29000)^2)))","v":404.02231124651718}," in.",null,"AISC EQ. F2-6",null,null,"Lr = ",{"$f":"1.95*rts_wf*(29000/(0.7*Fy))*SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf)+SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf))^2 + 6.76*((0.7*Fy)/29000)^2)))","v":404.02231124651718}," in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,null,"Bending Coefficient",null,null,"Cb = ",1]
[null,null,"  YIELDING  Lb < Lp",null,null,null,null,null,null,"  YIELDING  Lb < Lp"]
[null,null,"AISC EQ. F2-1",null,null,"Mp = ",{"$f":"Zx_wf*Fy","v":20900}," kip-in.",null,"AISC EQ. F2-1",null,null,"Mp = ",{"$f":"Zx_wf*Fy","v":20900}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"AISC EQ. F2-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(Mp_wf-(Mp_wf-0.7*Fy*Sx_wf)*(L_b - L_p)/(L_r - L_p)), Mp_wf)","v":14245.445634961256}," kip-in.",null,"AISC EQ. F2-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(Mp_wf-(Mp_wf-0.7*Fy*Sx_wf)*(L_b - L_p)/(L_r - L_p)), Mp_wf)","v":14245.445634961256}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F2-4",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/rts_wf)^2*SQRT(1+0.078*(J_wf*c_wf)/(Sx_wf*h0_wf)*(L_b/rts_wf)^2),Fy)","v":41.180747572881216}," ksi",null,"AISC EQ. F2-4",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/rts_wf)^2*SQRT(1+0.078*(J_wf*c_wf)/(Sx_wf*h0_wf)*(L_b/rts_wf)^2),Fy)","v":41.180747572881216}," ksi"]
[null,null,"AISC EQ. F2-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*Sx_wf,Mp_wf)","v":15278.057349538931}," kip-in.",null,"AISC EQ. F2-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*Sx_wf,Mp_wf)","v":15278.057349538931}," kip-in."]
[null,null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,Mp_wf,IF(L_b<=L_r,G41,G44))","v":14245.445634961256}," kip-in.",null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,Mp_wf,IF(L_b<=L_r,N41,N44))","v":14245.445634961256}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING",null,null,null,null,null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(H23=\"compact\",\"Compression elements are compact, local buckling does not apply\",\"Calculate compression flange buckling fo noncompact flanges\")","v":"Compression elements are compact, local buckling does not apply"},null,null,null,null,null,null,{"$f":"IF(O23=\"compact\",\"Compression elements are compact, local buckling does not apply\",\"Calculate compression flange buckling fo noncompact flanges\")","v":"Compression elements are compact, local buckling does not apply"}]
[null,null,"AISC EQ. F3-2",null,null,"Mnx = ",{"$f":"IF(H23=\"compact\",Mp_wf,(Mp_wf - (Mp_wf - 0.7*Fy*Sx_wf)*(G23 -G24)/(G25 - G24)))","v":20900}," kip-in.",null,"AISC EQ. F3-2",null,null,"Mnx = ",{"$f":"IF(O23=\"compact\",Mp_wf,(Mp_wf - (Mp_wf - 0.7*Fy*Sx_wf)*(N23 -N24)/(N25 - N24)))","v":20900}," kip-in."]
[]
[null,null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(G45,G48,Mp_wf)/12","v":1187.1204695801046}," kip-ft.",null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(N45,N48,Mp_wf)/12","v":1187.1204695801046}," kip-ft."]
[null,null,"Alllowable Moment Strength",null,null,"Mcx = Mnx/W = ",{"$f":"G50/1.67","v":710.85058058688901}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*N50","v":1068.4084226220941}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.66946030993897643},{"$f":"IF(G52<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.64142465136892524},{"$f":"IF(N52<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange",null,null,null,null,null,null,"Check Bending about the Y-Y Axis in the top flange"]
[null,null,"Plastic Moment (F2-1) *",null,null,"Mpy = ",{"$f":"Fy*Zt_wf","v":2267.3362499999998}," kip-in.",null,"Plastic Moment (F2-1) *",null,null,"Mpy = ",{"$f":"Fy*Zt_wf","v":2267.3362499999998}," kip-in."]
[null,null,"Flexural Design Strength",null,null,"Mcy = Mny/W = ",{"$f":"(G55/12)/1.67","v":113.14053143712574}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*N55/12","v":170.05021875}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.21467107933373361},{"$f":"IF(G57<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.22852543375513895},{"$f":"IF(N57<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,"* As a conservative simplification the section properties of the top flange are used",null,null,null,null,null,null,"* As a conservative simplification the section properties of the top flange are used"]
[null,null,"Check Biaxial Bending in the top flange",null,null,null,null,null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.88413138927271007},{"$f":"IF(AND(G52<=1,G57<=1,G61<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.86995008512406424},{"$f":"IF(AND(N52<=1,N57<=1,N61<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis",null,null,null,null,null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,null,"Evaluate using the shear strength of the WF beam alone"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},null,null,null,null,null,"h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488}]
[null,null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners",null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v_ASD*29000/Fy)","v":59.236812878479547},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v_ASD*29000/Fy)","v":73.776757857742709},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G65<=G66,\"Shear coefficient: AISC EQ. G2-2\",IF(G65<=G68,\"Shear coefficient: AISC EQ. G2-3\",IF(G65<=G69,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G65<=G66,G65<=G68),1,IF(G65<=G69,G68/G65,1.51*29000*k_v/(G65^2*Fy)))","v":1},null,null,{"$f":"IF(N65<=N66,\"Shear coefficient: AISC EQ. G2-2\",IF(N65<=N68,\"Shear coefficient: AISC EQ. G2-3\",IF(N65<=N69,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(N65<=N66,N65<=N68),1,IF(N65<=N69,N68/N65,1.51*29000*k_v/(N65^2*Fy)))","v":1}]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G65>G66,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(N65>N66,0.9,1)","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"dwf*tw_wf","v":16.055},"in.2",null,"Shear area",null,null,"Aw = ",{"$f":"dwf*tw_wf","v":16.055},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":481.65}," kips",null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":481.65}," kips"]
[null,null,"Shear Design Strength",null,null,"Vcx = Vnx/W = ",{"$f":"G73/G71","v":321.09999999999997}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":481.65}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G74","v":0.24506851448146999},{"$f":"IF(G75<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N74","v":0.23558559119692729},{"$f":"IF(N75<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling",null,null,null,null,null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation",null,null,null,null,null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_to_tw_wf/(L_b/bf_wf)","v":1.1896666666666669},{"$f":"IF(G79<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"},null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_to_tw_wf/(L_b/bf_wf)","v":1.1896666666666669},{"$f":"IF(N79<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"Fy*Sx_wf/12","v":1545.8333333333333}," kip-in.",null,null,null,null,"My = ",{"$f":"Fy*Sx_wf/12","v":1545.8333333333333}," kip-in."]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(M_y),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,null,null,null,"Cr = ",{"$f":"(IF(M_ux<(M_y),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G79<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(G79)^3),\"N/A\")","v":417.91613418186699}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(N79<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(N79)^3),\"N/A\")","v":417.91613418186699}," kips"]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G79<=1.7,G83/1.76,\"N/A\")","v":237.45234896696988}," kips",null,"Available Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(N79<=1.7,0.85*N83,\"N/A\")","v":355.22871405458693}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G79<=1.7,P_av/G84,\"N/A\")","v":0.20056655664680217},{"$f":"IF(G79<1.7,IF(G85<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(N79<=1.7,P_uv/N84,\"N/A\")","v":0.1943818088686077},{"$f":"IF(N79<1.7,IF(N85<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Design Checks 2010 W","index":9,"n_rows":85,"n_cols":19,"rows_kept":85,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CRANE BEAM DESIGN CHECKS: AISC 360-10",null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E6","v":"Crane Beam Example"}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Crane Beam Design'!E7","v":"Example 18.1.2  LRFD"}]
[null,null,"Crane Runway Beam",null,null,{"$f":"Shape_Name_W","v":"W24X146"},null,null,null,{"$f":"'Crane Beam Design'!E8","v":"AISC Steel Solutions Center"}]
[null,null,null,null,{"$f":"'Crane Beam Design'!T48","v":2},{"$f":"VLOOKUP(E5,'Crane Beam Design'!R49:S51,2,FALSE)&\" Member Properties\"","v":"AISC 14th Edition Member Properties"},null,null,null,{"$f":"'Crane Beam Design'!E9","v":"JRE"},null,null,null,"Date:",{"$f":"'Crane Beam Design'!J9","v":"2014-07-24"},null,null,null,{"$f":"Fy","v":50}]
[]
[null,null,"ASD DESIGN",null,null,null,null,null,null,"LRFD DESIGN",null,null,null,null,null,null,null,null,{"$f":"Sx_wf","v":371}]
[null,null,"Design Loads",null,null,null,null,null,null,"Design Loads"]
[null,null,"Max. Vertical Wheel Load *",null,null,"Pav = ",{"$f":"'Loads and Deflection'!P_av","v":47.625}," kips / wheel",null,"Max. Vertical Wheel Load *",null,null,"Puv = ",{"$f":"'Loads and Deflection'!P_uv","v":69.050000000000011}," kips / wheel"]
[null,null,"Max. Horizontal Wheel Load **",null,null,"Pah = ",{"$f":"'Loads and Deflection'!P_ah","v":2.5300000000000002}," kips / wheel / side",null,"Max. Horizontal Wheel Load **",null,null,"Puh = ",{"$f":"'Loads and Deflection'!P_uh","v":4.0480000000000009}," kips / wheel / side"]
[null,null," *   Includes impact.",null,null,null,null,null,null," *   Includes impact."]
[null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load",null,null,null,null,null,null," **  Total Horizontal Force, P h, is 20% of the sum of weights of the lifted load"]
[null,null,"     and crane trolley, exclusive of other parts of crane.",null,null,null,null,null,null,"     and crane trolley, exclusive of other parts of crane."]
[]
[null,null,"Design Forces",null,null,null,null,null,null,"Design Forces"]
[null,null,"Bending Moment  X-X Axis ***",null,null,"Max = ",{"$f":"'Loads and Deflection'!M_ax","v":475.88625000000002}," kip-ft.",null,"Bending Moment  X-X Axis ***",null,null,"Mux = ",{"$f":"'Loads and Deflection'!M_ux","v":685.3035000000001}," kip-ft."]
[null,null,"Bending Moment  Y-Y Axis",null,null,"May = ",{"$f":"'Loads and Deflection'!M_ay","v":24.288000000000004}," kip-ft.",null,"Bending Moment  Y-Y Axis",null,null,"Muy = ",{"$f":"'Loads and Deflection'!M_uy","v":38.860800000000012}," kip-ft."]
[null,null,"Shear  X-X Axis ***",null,null,"Vax = ",{"$f":"'Loads and Deflection'!V_ax","v":78.691500000000005}," kips",null,"Shear  X-X Axis ***",null,null,"Vux = ",{"$f":"'Loads and Deflection'!V_ux","v":113.46980000000002}," kips"]
[null,null," ***  Includes impact and girder and rail weight.",null,null,null,null,null,null," ***  Includes impact and girder and rail weight."]
[]
[null,null,"Check Local Buckling",null,null,null,null,null,null,"Check Local Buckling"]
[null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,"  UNSTIFFENED ELEMENTS",null,null,null,null,null,null,null,null,"LIMITED TO BEAMS WITH COMPACT or NONCOMPACT FLANGES"]
[null,null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"bf_to_2tf","v":5.92},{"$f":"IF(G23<=G24,\"compact\",IF(AND(G23>G24,G23<=G25),\"noncompact\",\"slender\"))","v":"compact"},null,"Flanges of W-Shape",null,null,"l = (bf/2tf)w = ",{"$f":"bf_to_2tf","v":5.92},{"$f":"IF(N23<=N24,\"compact\",IF(AND(N23>N24,N23<=N25),\"noncompact\",\"slender\"))","v":"compact"}]
[null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449},null,null,null,null,null,"Compact Limit  lr = 0.38√(E/Fy) = ",{"$f":"0.38*SQRT(29000/Fy)","v":9.1516118798821449}]
[null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592},null,null,null,null,null,"Noncompact Limit  lr = 1.0√(E/Fy) = ",{"$f":"1*SQRT(29000/Fy)","v":24.083189157584592}]
[null,null,"  STIFFENED ELEMENTS",null,null,null,null,null,null,"  STIFFENED ELEMENTS"]
[null,null,"Web of W-Shape",null,null,"l = h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},{"$f":"IF(G27<=G28,\"compact\",IF(AND(G27<=G29),\"noncompact\",\"slender\"))","v":"compact"},null,"Web of W-Shape",null,null,"l = h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},{"$f":"IF(N27<=N28,\"compact\",IF(AND(N27<=N29),\"noncompact\",\"slender\"))","v":"compact"},null,null,null,"LIMITED TO BEAMS WITH COMPACT WEBS"]
[null,null,null,null,null,"Compact Limit  lp = 3.76√(E/Fy) = ",{"$f":"3.76*SQRT(29000/Fy)","v":90.552791232518061},null,null,null,null,null,"Compact Limit  lp = 3.76√(E/Fy) = ",{"$f":"3.76*SQRT(29000/Fy)","v":90.552791232518061}]
[null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216},null,null,null,null,null,"Noncompact Limit  lr = 5.70√(E/Fy) = ",{"$f":"5.7*SQRT(29000/Fy)","v":137.27417819823216}]
[]
[null,null,"Check Bending about the X-X Axis",null,null,null,null,null,null,"Check Bending about the X-X Axis"]
[null,null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in.",null,"Actual Unbraced Length",null,null,"Lb = ",{"$f":"L_sp*12","v":360}," in."]
[null,null," Determine Limiting Lateral Unbraced Lengths",null,null,null,null,null,null," Determine Limiting Lateral Unbraced Lengths"]
[null,null,"AISC EQ. F2-5",null,null,"Lp = ",{"$f":"1.76*ry_wf*SQRT(29000/Fy)","v":127.58310288122013}," in.",null,"AISC EQ. F2-5",null,null,"Lp = ",{"$f":"1.76*ry_wf*SQRT(29000/Fy)","v":127.58310288122013}," in."]
[null,null,null,null,null,"c =",1,null,null,null,null,null,"c =",1]
[null,null,"AISC EQ. F2-6",null,null,"Lr = ",{"$f":"1.95*rts_wf*(29000/(0.7*Fy))*SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf)+SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf))^2 + 6.76*((0.7*Fy)/29000)^2)))","v":404.02231124651718}," in.",null,"AISC EQ. F2-6",null,null,"Lr = ",{"$f":"1.95*rts_wf*(29000/(0.7*Fy))*SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf)+SQRT(((J_wf*c_wf)/(Sx_wf*h0_wf))^2 + 6.76*((0.7*Fy)/29000)^2)))","v":404.02231124651718}," in."]
[null,null,"Bending Coefficient",null,null,"Cb = ",1,null,null,"Bending Coefficient",null,null,"Cb = ",1]
[null,null,"  YIELDING  Lb < Lp",null,null,null,null,null,null,"  YIELDING  Lb < Lp"]
[null,null,"AISC EQ. F2-1",null,null,"Mp = ",{"$f":"Zx_wf*Fy","v":20900}," kip-in.",null,"AISC EQ. F2-1",null,null,"Mp = ",{"$f":"Zx_wf*Fy","v":20900}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING Lp < Lb < Lr"]
[null,null,"AISC EQ. F2-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(Mp_wf-(Mp_wf-0.7*Fy*Sx_wf)*(L_b - L_p)/(L_r - L_p)), Mp_wf)","v":14245.445634961256}," kip-in.",null,"AISC EQ. F2-2",null,null,"Mnx = ",{"$f":"MIN(C_b*(Mp_wf-(Mp_wf-0.7*Fy*Sx_wf)*(L_b - L_p)/(L_r - L_p)), Mp_wf)","v":14245.445634961256}," kip-in."]
[null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr",null,null,null,null,null,null,"  LATERAL-TORSIONAL BUCKLING  Lb > Lr"]
[null,null,"AISC EQ. F2-4",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/rts_wf)^2*SQRT(1+0.078*(J_wf*c_wf)/(Sx_wf*h0_wf)*(L_b/rts_wf)^2),Fy)","v":41.180747572881216}," ksi",null,"AISC EQ. F2-4",null,null,"Fcr = ",{"$f":"MIN(C_b*PI()^2*29000/(L_b/rts_wf)^2*SQRT(1+0.078*(J_wf*c_wf)/(Sx_wf*h0_wf)*(L_b/rts_wf)^2),Fy)","v":41.180747572881216}," ksi"]
[null,null,"AISC EQ. F2-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*Sx_wf,Mp_wf)","v":15278.057349538931}," kip-in.",null,"AISC EQ. F2-3",null,null,"Mnx = ",{"$f":"MIN(F_cr*Sx_wf,Mp_wf)","v":15278.057349538931}," kip-in."]
[null,null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,Mp_wf,IF(L_b<=L_r,G41,G44))","v":14245.445634961256}," kip-in.",null,null,null,null,"Mn_LTB = ",{"$f":"IF(L_b<=L_p,Mp_wf,IF(L_b<=L_r,N41,N44))","v":14245.445634961256}," kip-in."]
[null,null,"  COMPRESSION FLANGE LOCAL BUCKLING",null,null,null,null,null,null,"  COMPRESSION FLANGE LOCAL BUCKLING"]
[null,null,{"$f":"IF(H23=\"compact\",\"Compression elements are compact, local buckling does not apply\",\"Calculate compression flange buckling fo noncompact flanges\")","v":"Compression elements are compact, local buckling does not apply"},null,null,null,null,null,null,{"$f":"IF(O23=\"compact\",\"Compression elements are compact, local buckling does not apply\",\"Calculate compression flange buckling fo noncompact flanges\")","v":"Compression elements are compact, local buckling does not apply"}]
[null,null,"AISC EQ. F3-2",null,null,"Mnx = ",{"$f":"IF(H23=\"compact\",Mp_wf,(Mp_wf - (Mp_wf - 0.7*Fy*Sx_wf)*(G23 -G24)/(G25 - G24)))","v":20900}," kip-in.",null,"AISC EQ. F3-2",null,null,"Mnx = ",{"$f":"IF(O23=\"compact\",Mp_wf,(Mp_wf - (Mp_wf - 0.7*Fy*Sx_wf)*(N23 -N24)/(N25 - N24)))","v":20900}," kip-in."]
[]
[null,null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(G45,G48,Mp_wf)/12","v":1187.1204695801046}," kip-ft.",null,"Nominal Flexural Design Strength",null,null,"Mnx = ",{"$f":"MIN(N45,N48,Mp_wf)/12","v":1187.1204695801046}," kip-ft."]
[null,null,"Alllowable Moment Strength",null,null,"Mcx = Mnx/W = ",{"$f":"G50/1.67","v":710.85058058688901}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcx = fMnx = ",{"$f":"0.9*N50","v":1068.4084226220941}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ax/Mnx_Omega","v":0.66946030993897643},{"$f":"IF(G52<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mrx / Mcx = ",{"$f":"M_ux/fM_nx","v":0.64142465136892524},{"$f":"IF(N52<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Bending about the Y-Y Axis in the top flange",null,null,null,null,null,null,"Check Bending about the Y-Y Axis in the top flange"]
[null,null,"Plastic Moment (F2-1) *",null,null,"Mpy = ",{"$f":"Fy*Zt_wf","v":2267.3362499999998}," kip-in.",null,"Plastic Moment (F2-1) *",null,null,"Mpy = ",{"$f":"Fy*Zt_wf","v":2267.3362499999998}," kip-in."]
[null,null,"Flexural Design Strength",null,null,"Mcy = Mny/W = ",{"$f":"(G55/12)/1.67","v":113.14053143712574}," kip-ft.  ( W = 1.67)",null,"Flexural Design Strength",null,null,"Mcy = fMny = ",{"$f":"0.9*N55/12","v":170.05021875}," kip-ft.  ( f = 0.90 )"]
[null,null,null,null,null,"Mry / Mcy = ",{"$f":"M_ay/Mny_Omega","v":0.21467107933373361},{"$f":"IF(G57<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Mry / Mcy = ",{"$f":"M_uy/fM_ny","v":0.22852543375513895},{"$f":"IF(N57<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[null,null,"* As a conservative simplification the section properties of the top flange are used",null,null,null,null,null,null,"* As a conservative simplification the section properties of the top flange are used"]
[null,null,"Check Biaxial Bending in the top flange",null,null,null,null,null,null,"Check Biaxial Bending in the top flange"]
[null,null,"  COMBINED BENDING",null,null,null,null,null,null,"  COMBINED BENDING"]
[null,null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ax/Mnx_Omega)+(M_ay/Mny_Omega)","v":0.88413138927271007},{"$f":"IF(AND(G52<=1,G57<=1,G61<=1),\" o.k.\",\" n.g.\")","v":" o.k."},null,"AISC EQ. H1-1b",null,null,"Mrx / Mcx + Mry / Mcy = ",{"$f":"(M_ux/fM_nx)+(M_uy/fM_ny)","v":0.86995008512406424},{"$f":"IF(AND(N52<=1,N57<=1,N61<=1),\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Shear about the X-X Axis",null,null,null,null,null,null,"Check Shear about the X-X Axis"]
[null,null,"Evaluate using the shear strength of the WF beam alone",null,null,null,null,null,null,"Evaluate using the shear strength of the WF beam alone"]
[null,null,null,null,null,"h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003},null,null,null,null,null,"h/tw = ",{"$f":"h_to_tw_wf","v":33.200000000000003}]
[null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488},null,null,null,null,null,"2.24√(E/Fy) = ",{"$f":"2.24*SQRT(29000/Fy)","v":53.946343712989488}]
[null,null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners",null,"Buckling coefficient (G2.1b(i))",null,null,"kv =",5,"no transverse stiffeners"]
[null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v_ASD*29000/Fy)","v":59.236812878479547},null,null,null,null,null,"1.10√(kvE/Fy) = ",{"$f":"1.1*SQRT(k_v*29000/Fy)","v":59.236812878479547}]
[null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v_ASD*29000/Fy)","v":73.776757857742709},null,null,null,null,null,"1.37√(kvE/Fy) = ",{"$f":"1.37*SQRT(k_v*29000/Fy)","v":73.776757857742709}]
[null,null,{"$f":"IF(G65<=G66,\"Shear coefficient: AISC EQ. G2-2\",IF(G65<=G68,\"Shear coefficient: AISC EQ. G2-3\",IF(G65<=G69,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(G65<=G66,G65<=G68),1,IF(G65<=G69,G68/G65,1.51*29000*k_v/(G65^2*Fy)))","v":1},null,null,{"$f":"IF(N65<=N66,\"Shear coefficient: AISC EQ. G2-2\",IF(N65<=N68,\"Shear coefficient: AISC EQ. G2-3\",IF(N65<=N69,\"Shear coefficient: AISC EQ. G2-4\",\"Shear coefficient: AISC EQ. G2-5\")))","v":"Shear coefficient: AISC EQ. G2-2"},null,null,"Cv = ",{"$f":"IF(OR(N65<=N66,N65<=N68),1,IF(N65<=N69,N68/N65,1.51*29000*k_v/(N65^2*Fy)))","v":1}]
[null,null,"Factor of safety for shear",null,null,"Wv = ",{"$f":"IF(G65>G66,1.67,1.5)","v":1.5},null,null,"Resistance factor for shear",null,null,"fv = ",{"$f":"IF(N65>N66,0.9,1)","v":1}]
[null,null,"Shear area",null,null,"Aw = ",{"$f":"dwf*tw_wf","v":16.055},"in.2",null,"Shear area",null,null,"Aw = ",{"$f":"dwf*tw_wf","v":16.055},"in.2"]
[null,null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":481.65}," kips",null,"AISC EQ. G2-1",null,null,"Vnx = ",{"$f":"0.6*Fy*A_w*C_v","v":481.65}," kips"]
[null,null,"Shear Design Strength",null,null,"Vcx = Vnx/W = ",{"$f":"G73/G71","v":321.09999999999997}," kips",null,"Shear Design Strength",null,null,"Vcx = fVnx = ",{"$f":"phi_v*Vnx","v":481.65}," kips"]
[null,null,null,null,null,"Vr / Vcx = ",{"$f":"V_ax/G74","v":0.24506851448146999},{"$f":"IF(G75<=1,\" o.k.\",\" n.g.\")","v":" o.k."},null,null,null,null,"Vr / Vcx = ",{"$f":"V_ux/N74","v":0.23558559119692729},{"$f":"IF(N75<=1,\" o.k.\",\" n.g.\")","v":" o.k."}]
[]
[null,null,"Check Web Sidesway Buckling",null,null,null,null,null,null,"Check Web Sidesway Buckling"]
[null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation",null,null,null,null,null,null,"AISC Section J10.4(b) for compression flange not restrained against rotation"]
[null,null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_to_tw_wf/(L_b/bf_wf)","v":1.1896666666666669},{"$f":"IF(G79<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"},null,null,null,null,"(h/tw) / (L/bf) = ",{"$f":"h_to_tw_wf/(L_b/bf_wf)","v":1.1896666666666669},{"$f":"IF(N79<=1.7,\" ≤ 1.7 use EQ. J10-7\",\" > 1.7\")","v":" ≤ 1.7 use EQ. J10-7"}]
[null,null,null,null,null,"My = ",{"$f":"Fy*Sx_wf/12","v":1545.8333333333333}," kip-in.",null,null,null,null,"My = ",{"$f":"Fy*Sx_wf/12","v":1545.8333333333333}," kip-in."]
[null,null,null,null,null,"Cr = ",{"$f":"(IF(1.5*M_ax<(M_y),960000,480000))","v":960000},"ksi for 1.5Ma > My",null,null,null,null,"Cr = ",{"$f":"(IF(M_ux<(M_y),960000,480000))","v":960000},"ksi for Mu > My"]
[null,null,"Factor of safety ",null,null,"W = ",1.76,null,null,"Resistance factor",null,null,"f = ",0.85]
[null,null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(G79<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(G79)^3),\"N/A\")","v":417.91613418186699}," kips",null,"Nominal Strength of Web",null,null,"Rn = ",{"$f":"IF(N79<=1.7,C_r*tw_wf^3*tf_wf/hwf^2*(0.4*(N79)^3),\"N/A\")","v":417.91613418186699}," kips"]
[null,null,"Available Strength of Web",null,null,"Rc = Rn/W = ",{"$f":"IF(G79<=1.7,G83/G82,\"N/A\")","v":237.45234896696988}," kips",null,"Available Strength of Web",null,null,"Rc = fRn = ",{"$f":"IF(N79<=1.7,N82*N83,\"N/A\")","v":355.22871405458693}," kips"]
[null,null,null,null,null,"Pr / Rc = ",{"$f":"IF(G79<=1.7,P_av/G84,\"N/A\")","v":0.20056655664680217},{"$f":"IF(G79<1.7,IF(G85<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."},null,null,null,null,"Pr / Rc = ",{"$f":"IF(N79<=1.7,P_uv/N84,\"N/A\")","v":0.1943818088686077},{"$f":"IF(N79<1.7,IF(N85<=1,\" o.k.\",\" n.g.\"),\"\")","v":" o.k."}]

{"sheet":"Custom Section Properties","index":10,"n_rows":52,"n_cols":12,"rows_kept":52,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,"CUSTOM COMBINED SECTION PROPERTIES:"]
[]
[null,null,"W SHAPE BEAM",null,null,"Link cell: ",105]
[]
[null,null,"Design Section",null,"W30x116 (Modified)\n\n\n\n"]
[null,null,null,null,null,null,null,null,null,null,null,"y 2"]
[null,null,"Total Section Weight",null,"Wt.",131," plf"]
[null,null,"Cross-sectional Area",null,"A",38.5," in.2","   NA"]
[null,null,"Total Depth",null,"d total",24.5," in."]
[null,null,"Web Depth",null,"h",21.58," in.",null,null,null,null,"y 1"]
[null,null,"Distance to N. A.",null,"y 2",12.25," in."]
[null,null,"Distance to N. A.",null,"y 1",12.25," in."]
[null,null,"Moment of Inertia",null,"Ix",4020," in.4","Area Top",null,"A top",12.384," in.2"]
[null,null,"Section Modulus",null,"Sx",329," in.3","Depth / Flange Area",null,"d / Af top",1.978359173126615]
[null,null,"Distance between flange centroids",null,"h0",{"$f":"F10-F25","v":23.54},"in.","Radius of Gyration",null,"rT top",3.4232472780371843," in."]
[null,null,"Radius of Gyration",null,"rx",10.199999999999999," in.","Moment of Inertia",null,"It",171.73511999999997," in.4"]
[null,null,"Plastic Modulus",null,"Zx",370," in.3","Section Modulus",null,"St",26.625599999999995," in.3"]
[null,null,"Moment of Inertia",null,"Iy",340," in.4","Plastic Modulus",null,"Zt",39.938399999999994," in.3"]
[null,null,"Section Modulus",null,"Sy",53," in.3","Radius of Gyration Top",null,"ry top",3.7239092362730855," in."]
[null,null,"Radius of Gyration",null,"ry",2.97," in.","Torsional Constant",null,"J",9.5," in.4"]
[null,null,"Plastic Modulus",null,"Zy",81.5," in.3","Warping Constant",null,"Cw",47000," in.6"]
[null,null,"Web Thickness",null,"tw",0.60499999999999998," in.","Compact Criteria",null,"bf / 2 tf",6.7]
[null,null,"Flange Width",null,"bf",12.9," in.","Compact Criteria",null,"d / tw",40.495867768595041]
[null,null,"Flange Thickness",null,"tf",0.96," in.","Compact Criteria",null,"h / tw",35.669421487603302]
[]
[null,null,"W SHAPE BEAM + CAP CHANNEL",null,null,null,8]
[]
[null,null,"Combined Section",null,"W30x116 C15x33.9 (Modified)"]
[null,null,null,null,null,null,null,null,null,null,null,"y 2"]
[null,null,"Total Section Weight",null,"Wt.",150," plf"]
[null,null,"Cross-sectional Area",null,"A",44.1," in.2","   NA"]
[null,null,"Total Depth",null,"d total",30.4," in."]
[null,null,"Distance to N. A.",null,"y 2",12.1," in.",null,null,null,null,"y 1"]
[null,null,"Distance to N. A.",null,"y 1",18.3," in."]
[null,null,"Web Depth",null,"h",27," in."]
[null,null,"Moment of Inertia",null,"Ix",6590," in.4","Area Top",null,"A top",18.875," in.2"]
[null,null,"Section Modulus",null,"S2",544," in.3","Depth / Flange Area",null,"d / Af top",1.6105960264900661]
[null,null,null,null,"S1",360," in.3","Radius of Gyration",null,"rT top",4.3567162234945656," in."]
[null,null,"Radius of Gyration",null,"rx",12.2," in.","Moment of Inertia",null,"It",396.99843750000002," in.4"]
[null,null,"Plastic Modulus",null,"Zx",480," in.3","Section Modulus",null,"St",52.933124999999997," in.3"]
[null,null,"Moment of Inertia",null,"Iy",479," in.4","Plastic Modulus",null,"Zt",74.228125000000006," in.3"]
[null,null,"Section Modulus",null,"Sy",63.8," in.3","Radius of Gyration Top",null,"ry top",4.5861781257736283," in."]
[null,null,"Radius of Gyration",null,"ry",3.29," in.","Torsional Constant",null,"J",7.44," in.4"]
[null,null,"Plastic Modulus",null,"Zy",100," in.3","Warping Constant",null,"Cw",0," in.6"]
[null,null,"Depth",null,"h/hc",1.3235294117647061,null,"C Compact Criteria",null,"bf / tf",5.2307692307692308]
[null,null,"W Depth",null,"d",30," in.","C Depth",null,"d",15," in."]
[null,null,"W Web Thickness",null,"tw",0.56499999999999995," in.","C Web Thickness",null,"tw",0.4," in."]
[null,null,"W Flange Width",null,"bf",10.5," in.","C Web Depth",null,"hc",12.125," in."]
[null,null,"W Flange Thickness",null,"tf",0.85," in."]
[null,null,"W Compact Criteria",null,"bf / 2 tf",6.17]
[null,null,"W Compact Criteria",null,"d / tw",53.097345132743371]

{"sheet":"AISC LRFD 3","index":11,"n_rows":382,"n_cols":52,"rows_kept":382,"cut":false,"hidden":true,"merged":[[353,24,353,29],[353,22,353,23],[353,5,353,12],[353,13,353,16],[353,17,353,19],[353,20,353,21]]}
["AISC LRFD 3rd Edition  Table 1-1"]
["W-Shapes  Dimensions and Properties"]
[]
["Type","EDI_Std_Nomenclature","AISC_Manual_Label","T_F","W","A","d","Ht","OD","bf","b","ID","tw","tf","t","tnom","tdes","kdes","kdet","x","y","e0","xp","yp","bf/2tf","b_t","h/tw","h_t","D_t","Fy3p","X1","X2 x 106","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","rz","J","Cw","C","Wno","Sw","Qf","Qw","ro","H","tan_alpha","Qs"]
[null,null,1,{"$f":"C5+1","v":2},{"$f":"D5+1","v":3},4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]
["W","W44x335","W44x335",3,335,98.3,44,0,0,16,0,0,1.02,1.77,0,0,0,2.56,2.625,0,0,0,0,0,4.51,0,38.1,0,0,44.3,2430,5110,31100,1620,1410,17.8,1200,236,151,3.5,0,74.400000000000006,536000,0,168,1190,279,805,0,0,0,0]
["W","W44x290","W44x290",3,290,85.8,43.6,0,0,15.8,0,0,0.87,1.58,0,0,0,2.37,2.4375,0,0,0,0,0,5.01,0,44.7,0,0,32.200000000000003,2150,8170,27100,1420,1240,17.8,1050,206,132,3.49,0,51.5,464000,0,166,1040,248,704,0,0,0,0]
["W","W44x262","W44x262",3,262,77.2,43.3,0,0,15.8,0,0,0.79,1.42,0,0,0,2.21,2.25,0,0,0,0,0,5.55,0,49.2,0,0,26.6,1930,12300,24200,1270,1120,17.7,927,183,118,3.46,0,37.700000000000003,407000,0,165,922,222,630,0,0,0,0]
["W","W44x230","W44x230",3,230,67.7,42.9,0,0,15.8,0,0,0.71,1.22,0,0,0,2.0099999999999998,2.0625,0,0,0,0,0,6.45,0,54.8,0,0,21.5,1690,21100,20800,1100,971,17.5,796,157,101,3.43,0,24.9,346000,0,164,789,191,546,0,0,0,0]
["W","W40x593","W40x593",4,593,174,43,0,0,16.7,0,0,1.79,3.23,0,0,0,4.41,4.5,0,0,0,0,0,2.58,0,19.100000000000001,0,0,0,4760,348,50400,2760,2340,17,2520,481,302,3.8,0,445,996000,0,166,2240,478,1370,0,0,0,0]
["W","W40x503","W40x503",4,503,148,42.1,0,0,16.399999999999999,0,0,1.54,2.76,0,0,0,3.94,4,0,0,0,0,0,2.97,0,22.2,0,0,0,4110,620,41700,2320,1980,16.8,2050,395,250,3.72,0,279,791000,0,161,1830,403,1150,0,0,0,0]
["W","W40x431","W40x431",4,431,127,41.3,0,0,16.2,0,0,1.34,2.36,0,0,0,3.54,3.625,0,0,0,0,0,3.44,0,25.5,0,0,0,3550,1100,34800,1960,1690,16.600000000000001,1690,328,208,3.65,0,177,639000,0,158,1510,342,968,0,0,0,0]
["W","W40x397","W40x397",4,397,117,41,0,0,16.100000000000001,0,0,1.22,2.2000000000000002,0,0,0,3.38,3.5,0,0,0,0,0,3.66,0,28,0,0,0,3310,1440,32000,1800,1560,16.600000000000001,1540,300,191,3.64,0,142,578000,0,156,1380,318,891,0,0,0,0]
["W","W40x372","W40x372",4,372,109,40.6,0,0,16.100000000000001,0,0,1.1599999999999999,2.0499999999999998,0,0,0,3.23,3.3125,0,0,0,0,0,3.92,0,29.5,0,0,0,3080,1880,29600,1680,1460,16.5,1420,278,177,3.6,0,116,528000,0,155,1270,295,829,0,0,0,0]
["W","W40x362","W40x362",4,362,107,40.6,0,0,16,0,0,1.1200000000000001,2.0099999999999998,0,0,0,3.19,3.25,0,0,0,0,0,3.99,0,30.5,0,0,0,3040,2010,28900,1640,1420,16.5,1380,270,173,3.6,0,109,512000,0,154,1240,289,807,0,0,0,0]
["W","W40x324","W40x324",3,324,95.3,40.200000000000003,0,0,15.9,0,0,1,1.81,0,0,0,2.99,3.0625,0,0,0,0,0,4.4000000000000004,0,34.200000000000003,0,0,55.1,2720,3050,25600,1460,1280,16.399999999999999,1220,239,153,3.58,0,79.400000000000006,449000,0,153,1100,259,719,0,0,0,0]
["W","W40x297","W40x297",3,297,87.4,39.799999999999997,0,0,15.8,0,0,0.93,1.65,0,0,0,2.83,2.9375,0,0,0,0,0,4.8,0,36.799999999999997,0,0,47.7,2500,4250,23200,1330,1170,16.3,1090,215,138,3.54,0,61.2,397000,0,151,986,235,654,0,0,0,0]
["W","W40x277","W40x277",3,277,81.400000000000006,39.700000000000003,0,0,15.8,0,0,0.83,1.58,0,0,0,2.76,2.875,0,0,0,0,0,5.03,0,41.2,0,0,38,2360,5280,21900,1250,1100,16.399999999999999,1040,204,132,3.58,0,51.5,378000,0,151,940,225,614,0,0,0,0]
["W","W40x249","W40x249",2,249,73.3,39.4,0,0,15.8,0,0,0.75,1.42,0,0,0,2.6,2.6875,0,0,0,0,0,5.55,0,45.6,0,0,31,2130,7800,19600,1120,993,16.3,926,182,118,3.55,0,38.1,334000,0,149,836,202,550,0,0,0,0]
["W","W40x215","W40x215",2,215,63.4,39,0,0,15.8,0,0,0.65,1.22,0,0,0,2.4,2.5,0,0,0,0,0,6.45,0,52.6,0,0,23.3,1850,13600,16700,964,859,16.2,796,156,101,3.54,0,24.8,284000,0,149,714,174,471,0,0,0,0]
["W","W40x199","W40x199",2,199,58.5,38.700000000000003,0,0,15.8,0,0,0.65,1.07,0,0,0,2.25,2.3125,0,0,0,0,0,7.39,0,52.6,0,0,23.3,1700,20000,14900,869,770,16,695,137,88.2,3.45,0,18.3,246000,0,148,621,151,424,0,0,0,0]
["W","W40x392","W40x392",4,392,115,41.6,0,0,12.4,0,0,1.42,2.52,0,0,0,3.7,3.8125,0,0,0,0,0,2.4500000000000002,0,24.1,0,0,0,3910,852,29900,1710,1440,16.100000000000001,803,212,130,2.64,0,172,306000,0,121,940,269,845,0,0,0,0]
["W","W40x331","W40x331",3,331,97.5,40.799999999999997,0,0,12.2,0,0,1.22,2.13,0,0,0,3.31,3.375,0,0,0,0,0,2.86,0,28,0,0,0,3360,1550,24700,1430,1210,15.9,644,172,106,2.57,0,106,241000,0,118,760,225,704,0,0,0,0]
["W","W40x327","W40x327",3,327,96,40.799999999999997,0,0,12.1,0,0,1.18,2.13,0,0,0,3.31,3.375,0,0,0,0,0,2.85,0,29,0,0,0,3320,1620,24500,1410,1200,16,640,170,105,2.58,0,103,239000,0,117,757,225,696,0,0,0,0]
["W","W40x278","W40x278",3,278,81.8,40.200000000000003,0,0,12,0,0,1.02,1.81,0,0,0,2.99,3.0625,0,0,0,0,0,3.31,0,33.5,0,0,57.3,2860,2910,20500,1190,1020,15.8,521,140,87.1,2.52,0,64.7,192000,0,115,622,190,586,0,0,0,0]
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[]
["AISC LRFD 3rd Edition  Table 1-5"]
["C-Shapes  Dimensions and Properties"]
[]
["Type","EDI_Std_Nomenclature","AISC_Manual_Label","T_F","W","A","d","Ht","OD","bf","b","ID","tw","tf","t","tnom","tdes","kdes","kdet","x_bar","y","eo","xp","yp","bf_2tf","b_t","h_tw","h_t","D_t","Fy3p","X1","X2 x 106","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","rz","J","Cw","C","Wno","Sw","Qf","Qw","ro","H","tan_alpha","Qs"]
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[]
["AISC LRFD 3rd Edition  Table 1-6"]
["MC-Shapes  Dimensions and Properties"]
[]
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["MC","MC13x40","MC13x40","F",40,11.8,13,0,0,4.18,0,0,0.56000000000000005,0.61,0,0,0,1.4375,1.4375,0.96299999999999997,0,1.03,0.45200000000000001,0,0,0,0,0,0,0,4080,787,273,51.2,41.9,4.82,13.7,8.66,4.24,1.08,0,1.55,462,0,0,0,0,0,5.32,0.85899999999999999,0,0]
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["MC","MC13x31.8","MC13x31.8","F",31.8,9.35,13,0,0,4,0,0,0.375,0.61,0,0,0,1.4375,1.4375,1,0,1.24,0.36,0,0,0,0,0,0,0,3230,1640,239,43.4,36.700000000000003,5.05,11.4,7.69,3.79,1.1000000000000001,0,0.93700000000000006,380,0,0,0,0,0,5.64,0.84199999999999997,0,0]
["MC","MC12x50","MC12x50","F",50,14.7,12,0,0,4.1399999999999997,0,0,0.83499999999999996,0.7,0,0,0,1.3125,1.3125,1.05,0,0.74099999999999999,0.61299999999999999,0,0,0,0,0,0,0,6150,146,269,56.5,44.9,4.28,17.399999999999999,10.9,5.64,1.0900000000000001,0,3.23,411,0,0,0,0,0,4.76,0.85899999999999999,0,0]
["MC","MC12x45","MC12x45","F",45,13.2,12,0,0,4.01,0,0,0.71199999999999997,0.7,0,0,0,1.3125,1.3125,1.04,0,0.84399999999999997,0.55100000000000005,0,0,0,0,0,0,0,5310,242,252,52,41.9,4.3600000000000003,15.8,10.1,5.31,1.0900000000000001,0,2.34,374,0,0,0,0,0,4.88,0.85099999999999998,0,0]
["MC","MC12x40","MC12x40","F",40,11.8,12,0,0,3.89,0,0,0.59,0.7,0,0,0,1.3125,1.3125,1.04,0,0.95199999999999996,0.49,0,0,0,0,0,0,0,4580,399,234,47.7,39,4.46,14.2,9.31,4.9800000000000004,1.1000000000000001,0,1.69,336,0,0,0,0,0,5,0.84099999999999997,0,0]
["MC","MC12x35","MC12x35","F",35,10.3,12,0,0,3.77,0,0,0.46700000000000003,0.7,0,0,0,1.3125,1.3125,1.05,0,1.07,0.42899999999999999,0,0,0,0,0,0,0,3970,632,216,43.2,36.1,4.59,12.6,8.6300000000000008,4.6500000000000004,1.1100000000000001,0,1.24,298,0,0,0,0,0,5.17,0.83199999999999996,0,0]
["MC","MC12x31","MC12x31","F",31,9.1199999999999992,12,0,0,3.67,0,0,0.37,0.7,0,0,0,1.3125,1.3125,1.08,0,1.17,0.42499999999999999,0,0,0,0,0,0,0,3590,849,202,39.700000000000003,33.700000000000003,4.71,11.3,8.15,4.37,1.1100000000000001,0,1,267,0,0,0,0,0,5.33,0.82199999999999995,0,0]
["MC","MC12x10.6","MC12x10.6","F",10.6,3.1,12,0,0,1.5,0,0,0.19,0.309,0,0,0,0.75,0.75,0.26900000000000002,0,0.28399999999999997,0.129,0,0,0,0,0,0,0,1870,23600,55.3,11.6,9.2200000000000006,4.22,0.378,0.63500000000000001,0.307,0.34899999999999998,0,5.96E-2,11.7,0,0,0,0,0,4.2699999999999996,0.98299999999999998,0,0]
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["MC","MC10x33.6","MC10x33.6","F",33.6,9.8699999999999992,10,0,0,4.0999999999999996,0,0,0.57499999999999996,0.57499999999999996,0,0,0,1.3125,1.3125,1.0900000000000001,0,1.06,0.49399999999999999,0,0,0,0,0,0,0,4960,291,139,33.700000000000003,27.8,3.75,13.1,8.2799999999999994,4.3499999999999996,1.1499999999999999,0,1.2,224,0,0,0,0,0,4.4800000000000004,0.76900000000000002,0,0]
["MC","MC10x28.5","MC10x28.5","F",28.5,8.3699999999999992,10,0,0,3.95,0,0,0.42499999999999999,0.57499999999999996,0,0,0,1.3125,1.3125,1.1200000000000001,0,1.21,0.41899999999999998,0,0,0,0,0,0,0,4070,557,126,30,25.3,3.89,11.3,7.59,3.99,1.1599999999999999,0,0.79100000000000004,193,0,0,0,0,0,4.67,0.751,0,0]
["MC","MC10x25","MC10x25","F",25,7.35,10,0,0,3.41,0,0,0.38,0.57499999999999996,0,0,0,1.3125,1.3125,0.95299999999999996,0,1.03,0.36699999999999999,0,0,0,0,0,0,0,3940,651,110,26.2,22,3.87,7.25,5.65,2.96,0.99299999999999999,0,0.63800000000000001,124,0,0,0,0,0,4.46,0.80200000000000005,0,0]
["MC","MC10x22","MC10x22","F",22,6.45,10,0,0,3.32,0,0,0.28999999999999998,0.57499999999999996,0,0,0,1.3125,1.3125,0.99,0,1.1200000000000001,0.46700000000000003,0,0,0,0,0,0,0,3540,887,102,23.9,20.5,3.99,6.4,5.29,2.75,0.997,0,0.51,110,0,0,0,0,0,4.6100000000000003,0.79100000000000004,0,0]
["MC","MC10x8.4","MC10x8.4","F",8.4,2.46,10,0,0,1.5,0,0,0.17,0.28000000000000003,0,0,0,0.75,0.75,0.28399999999999997,0,0.33200000000000002,0.123,0,0,0,0,0,0,0,2000,16400,31.9,7.92,6.39,3.61,0.32600000000000001,0.54800000000000004,0.26800000000000002,0.36399999999999999,0,4.1300000000000003E-2,7,0,0,0,0,0,3.67,0.97199999999999998,0,0]
["MC","MC9x25.4","MC9x25.4","F",25.4,7.47,9,0,0,3.5,0,0,0.45,0.55000000000000004,0,0,0,1.25,1.25,0.97,0,0.98599999999999999,0.41499999999999998,0,0,0,0,0,0,0,4650,350,87.9,23.5,19.5,3.43,7.57,5.7,2.99,1.01,0,0.69099999999999995,104,0,0,0,0,0,4.08,0.77,0,0]
["MC","MC9x23.9","MC9x23.9","F",23.9,7.02,9,0,0,3.45,0,0,0.4,0.55000000000000004,0,0,0,1.25,1.25,0.98099999999999998,0,1.04,0.39,0,0,0,0,0,0,0,4350,435,84.9,22.5,18.899999999999999,3.48,7.14,5.51,2.89,1.01,0,0.59899999999999998,98,0,0,0,0,0,4.1500000000000004,0.76200000000000001,0,0]
["MC","MC8x22.8","MC8x22.8","F",22.8,6.7,8,0,0,3.5,0,0,0.42699999999999999,0.52500000000000002,0,0,0,1.1875,1.1875,1.01,0,1.04,0.41899999999999998,0,0,0,0,0,0,0,4920,266,63.8,19.100000000000001,15.9,3.09,7.01,5.37,2.81,1.02,0,0.57199999999999995,75.2,0,0,0,0,0,3.84,0.71499999999999997,0,0]
["MC","MC8x21.4","MC8x21.4","F",21.4,6.28,8,0,0,3.45,0,0,0.375,0.52500000000000002,0,0,0,1.1875,1.1875,1.02,0,1.0900000000000001,0.45200000000000001,0,0,0,0,0,0,0,4590,332,61.5,18.2,15.4,3.13,6.58,5.18,2.71,1.02,0,0.495,70.8,0,0,0,0,0,3.91,0.70899999999999996,0,0]
["MC","MC8x20","MC8x20","F",20,5.88,8,0,0,3.03,0,0,0.4,0.5,0,0,0,1.125,1.125,0.84,0,0.84299999999999997,0.36699999999999999,0,0,0,0,0,0,0,4740,328,54.4,16.399999999999999,13.6,3.04,4.42,3.86,2.02,0.86699999999999999,0,0.441,47.8,0,0,0,0,0,3.58,0.77900000000000003,0,0]
["MC","MC8x18.7","MC8x18.7","F",18.7,5.5,8,0,0,2.98,0,0,0.35299999999999998,0.5,0,0,0,1.125,1.125,0.84899999999999998,0,0.88900000000000001,0.34399999999999997,0,0,0,0,0,0,0,4420,411,52.4,15.6,13.1,3.09,4.1500000000000004,3.72,1.95,0.86799999999999999,0,0.38,45,0,0,0,0,0,3.65,0.77300000000000002,0,0]
["MC","MC8x8.5","MC8x8.5","F",8.5,2.5,8,0,0,1.87,0,0,0.17899999999999999,0.311,0,0,0,0.8125,0.8125,0.42799999999999999,0,0.54200000000000004,0.156,0,0,0,0,0,0,0,2640,4120,23.3,6.95,5.82,3.05,0.624,0.875,0.43099999999999999,0.5,0,5.8700000000000002E-2,8.2100000000000009,0,0,0,0,0,3.24,0.91,0,0]
["MC","MC7x22.7","MC7x22.7","F",22.7,6.67,7,0,0,3.6,0,0,0.503,0.5,0,0,0,1.125,1.125,1.04,0,1.01,0.47699999999999998,0,0,0,0,0,0,0,6030,121,47.4,16.399999999999999,13.5,2.67,7.24,5.38,2.83,1.04,0,0.625,58.3,0,0,0,0,0,3.52,0.66100000000000003,0,0]
["MC","MC7x19.1","MC7x19.1","F",19.100000000000001,5.61,7,0,0,3.45,0,0,0.35199999999999998,0.5,0,0,0,1.125,1.125,1.08,0,1.1499999999999999,0.57899999999999996,0,0,0,0,0,0,0,4910,238,43.1,14.5,12.3,2.77,6.06,4.8499999999999996,2.5499999999999998,1.04,0,0.40699999999999997,49.3,0,0,0,0,0,3.71,0.63800000000000001,0,0]
["MC","MC6x18","MC6x18","F",18,5.29,6,0,0,3.5,0,0,0.379,0.47499999999999998,0,0,0,1.0625,1.0625,1.1200000000000001,0,1.17,0.64400000000000002,0,0,0,0,0,0,0,5730,128,29.7,11.7,9.89,2.37,5.88,4.68,2.4700000000000002,1.05,0,0.379,34.6,0,0,0,0,0,3.46,0.56200000000000006,0,0]
["MC","MC6x15.3","MC6x15.3","F",15.3,4.49,6,0,0,3.5,0,0,0.34,0.38500000000000001,0,0,0,0.875,0.875,1.05,0,1.1599999999999999,0.51100000000000001,0,0,0,0,0,0,0,4750,278,25.3,9.91,8.44,2.38,4.91,3.85,2.0099999999999998,1.05,0,0.223,30,0,0,0,0,0,3.41,0.57899999999999996,0,0]
["MC","MC6x16.3","MC6x16.3","F",16.3,4.79,6,0,0,3,0,0,0.375,0.47499999999999998,0,0,0,1.0625,1.0625,0.92700000000000005,0,0.93,0.46500000000000002,0,0,0,0,0,0,0,5870,124,26,10.4,8.66,2.33,3.77,3.47,1.82,0.88700000000000001,0,0.33600000000000002,22.1,0,0,0,0,0,3.11,0.64300000000000002,0,0]
["MC","MC6x15.1","MC6x15.1","F",15.1,4.4400000000000004,6,0,0,2.94,0,0,0.316,0.47499999999999998,0,0,0,1.0625,1.0625,0.94,0,0.98199999999999998,0.54300000000000004,0,0,0,0,0,0,0,5420,160,24.9,9.83,8.3000000000000007,2.37,3.46,3.3,1.73,0.88300000000000001,0,0.28499999999999998,20.5,0,0,0,0,0,3.18,0.63400000000000001,0,0]
["MC","MC6x12","MC6x12","F",12,3.53,6,0,0,2.5,0,0,0.31,0.375,0,0,0,0.875,0.875,0.70399999999999996,0,0.72499999999999998,0.29399999999999998,0,0,0,0,0,0,0,4740,317,18.7,7.47,6.24,2.2999999999999998,1.85,1.97,1.03,0.72399999999999998,0,0.155,11.3,0,0,0,0,0,2.8,0.74,0,0]
[]
["AISC LRFD 3rd Edition  Table 1-17"]
["W-Shapes with Cap Channels  Properties"]
[null,null,null,"Wt.","A","Ix","S1","S2","rx","y1","y2","Zx","yp","Iy","Sy","ry","Zy","Iyc","St","Zt","rT top","d / Af top","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdes","J","Zy","h_tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf"]
[null,null,null,4,{"$f":"D352+1","v":5},{"$f":"E352+1","v":6},7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Additional Properties Calculations for TABLE 1 and TABLE 2"]
[null,null,null,"Total","Total","Axis X-X",null,null,null,null,null,null,null,"Axis Y-Y",null,null,null," Top",null,null," Composite",null,"Max. Length",null," Composite",null,null,null,null,null,"W-Shape",null,null,null,null,null,null,null,null,null,null,null,"Channel"]
["Section Name","W-Shape","Channel","Wt.","Area","I","S1","S2","r","y1","y2","Z","yp","I","S1","r","Z","Itop","Stop","Ztop","rT","d / Af","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdesign","J","Zy","h/tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf"]
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["W36x150 C15x33.9","W36x150","C15x33.9",184,54.2,11500,546,764,14.6,21.1,15.1,716,25.9,584,77.900000000000006,3.28,122,450.36,60.048000000000002,84.639999999999986,4.3236016465066838,1.7098445595854923,{"$f":"MAX(U358*SQRT(102000/$W$356)/12,12000/(0.6*$W$356*V358)/12)","v":27.076318742985411},{"$f":"MAX(U358*SQRT(102000/$X$356)/12,12000/(0.6*$X$356*V358)/12)","v":19.494949494949491},{"$f":"2*(AE358+AS358-M358-AS358-AH358)","v":18.119999999999997},{"$f":"2*(K358-AS358-AI358)","v":26.02},{"$f":"AV358+AJ358","v":11.11},{"$f":"((AG358*AH358)*(AS358 + AH358/2) + AQ358 * AW358)/ ((AG358*AH358) + AQ358)","v":0.83156853509185125},{"$f":"(AE358+AS358)-AB358-AH358/2","v":34.998431464908144},41.631999999999998,35.9,0.625,12,0.94,1.69,10.1,70.900000000000006,{"$error":"#N/A"},32.519999999999996,26.02,{"$f":"AM358/AN358","v":1.2498078401229822},0.77116438356164385,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,12.125,3.4,0.65]
["W33x141 MC18x42.7","W33x141","MC18x42.7",184,54.1,10000,490,750,13.6,20.399999999999999,13.3,652,27,800,88.9,3.85,142,675.67,75.074444444444438,106.83999999999999,5.0943435981391945,1.4276649746192893,32.427983539094654,23.348148148148152,10.68,22.380000000000003,10.93,0.90175126903553293,32.368248730964467,36.991735537190088,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,9.6999999999999993,66.900000000000006,{"$error":"#N/A"},29.979999999999997,22.380000000000003,1.3395889186773902,0.84458749999999994,12.6,18,0.45,554,75.099999999999994,1.23,0.877,15.125,3.95,0.625]
["W33x141 C15x33.9","W33x141","C15x33.9",175,51.5,9580,484,689,13.6,19.8,13.9,635,24.9,561,74.8,3.3,118,436.67,58.222666666666669,82.539999999999992,4.3092918053195373,1.6055264411624581,28.835586328167935,20.761622156280911,14.879999999999994,23.68,41.01,0.83638875655073841,32.383611243449259,39.140495867768593,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,{"$f":"HLOOKUP(AJ$351,Wcolumns,2,FALSE)","v":40},{"$f":"VLOOKUP($B360,Wdatabase,HLOOKUP(AK$351,Wcolumns,2,FALSE),FALSE)","v":66.900000000000006},{"$error":"#N/A"},29.979999999999997,23.68,1.2660472972972971,0.77837789661319079,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,12.125,3.4,0.65]
["W33x118 MC18x42.7","W33x118","MC18x42.7",161,47.2,8280,400,656,13.2,20.7,12.6,544,27.8,741,82.3,3.96,126,647.78729166666665,71.976365740740732,99.566249999999997,5.2841188992993668,1.5798199905258172,29.304792048420236,21.099450274862566,8.7200000000000006,21.42,6.5299999999999994,0.85402179062055905,32.125978209379447,38.945454545454545,32.9,0.55000000000000004,11.5,0.74,1.44,{"$f":"VLOOKUP($B361,Wdatabase,HLOOKUP(AJ$351,Wcolumns,2,FALSE),FALSE)","v":5.3},51.3,{"$error":"#N/A"},30.02,21.419999999999998,1.4014939309056957,0.87420687134502917,12.6,18,0.45,554,75.099999999999994,1.23,0.877,15.125,3.95,0.625]
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{"sheet":"AISC 13","index":12,"n_rows":399,"n_cols":75,"rows_kept":399,"cut":false,"hidden":true,"merged":[[368,30,368,41],[368,42,368,51],[368,53,368,59],[367,17,367,29],[368,5,368,12],[368,13,368,16],[368,17,368,19],[368,20,368,21],[368,22,368,23],[368,24,368,29]]}
["AISC 13th Edition  Table 1-1"]
["W-Shapes  Dimensions and Properties",null,null,null,"d",{"$f":"HLOOKUP(E2,Wcolumns,2,FALSE)","v":5}]
[]
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["W","W5X16","W5X16","F",16,4.71,5.01,0,0,5,0,0,0.24,0.36,0,0,0,0.66,0.75,0.4375,0,0,0,0,0,6.94,0,15.4,0,0,0,4450,342,21.4,9.6300000000000008,8.5500000000000007,2.13,7.51,4.58,3,1.26,0,0.192,40.6,0,5.81,2.62,1.99,4.74,0,0,0,0]
["W","W4X13","W4X13","F",13,3.83,4.16,0,0,4.0599999999999996,0,0,0.28000000000000003,0.34499999999999997,0,0,0,0.59499999999999997,0.75,0.5,0,0,0,0,0,5.88,0,10.6,0,0,0,5580,152,11.3,6.28,5.46,1.72,3.86,2.92,1.9,1,0,0.151,14,0,3.87,1.36,1.24,3.09,0,0,0,0]
[]
[]
[]
[]
[]
[]
[]
["AISC 13th Edition  Table 1-5"]
["C-Shapes  Dimensions and Properties"]
[]
["TYPE","EDI_STD_NOMENCLATURE","AISC_MANUAL_LABEL","T_F","W","A","d","Ht","OD","bf","b","ID","tw","tf","t","tnom","tdes","kdes","kdet","k1","x_bar","y","eo","xp","yp","bf/2tf","b/t","h/tw","Ht/t","D/t","FY3P","X1","X2","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","rz","J","Cw","C","Wno","SW","Qf","Qw","ro","H","tan(α)","Qs"]
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["C","C5X6.7","C5X6.7","F",6.7,1.97,5,0,0,1.75,0,0,0.19,0.32,0,0,0,0.75,0.75,0,0.48399999999999999,0,0.55200000000000005,0.215,0,0,0,0,0,0,0,4390,447,7.48,3.55,2.99,1.95,0.47,0.75700000000000001,0.372,0.48899999999999999,0,5.4899999999999997E-2,2.2200000000000002,0,0,0,0,0,2.2599999999999998,0.79,0,0]
["C","C4X7.25","C4X7.25","F",7.25,2.13,4,0,0,1.72,0,0,0.32100000000000001,0.29599999999999999,0,0,0,0.75,0.75,0,0.45900000000000002,0,0.38600000000000001,0.26600000000000001,0,0,0,0,0,0,0,7290,72.900000000000006,4.58,2.84,2.29,1.47,0.42499999999999999,0.69499999999999995,0.33700000000000002,0.44700000000000001,0,8.1699999999999995E-2,1.24,0,0,0,0,0,1.75,0.76700000000000002,0,0]
["C","C4X5.4","C4X5.4","F",5.4,1.58,4,0,0,1.58,0,0,0.184,0.29599999999999999,0,0,0,0.75,0.75,0,0.45700000000000002,0,0.501,0.23100000000000001,0,0,0,0,0,0,0,5230,219,3.85,2.29,1.92,1.56,0.312,0.56499999999999995,0.27700000000000002,0.44400000000000001,0,3.9899999999999998E-2,0.92100000000000004,0,0,0,0,0,1.88,0.74199999999999999,0,0]
["C","C4X4.5","C4X4.5","F",4.5,1.38,4,0,0,1.58,0,0,0.125,0.29599999999999999,0,0,0,0.75,0.75,0,0.49299999999999999,0,0.58699999999999997,0.32100000000000001,0,0,0,0,0,0,0,4620,310,3.65,2.12,1.83,1.63,0.28899999999999998,0.53100000000000003,0.26500000000000001,0.45700000000000002,0,3.2199999999999999E-2,0.871,0,0,0,0,0,2.0099999999999998,0.71,0,0]
["C","C3X6","C3X6","F",6,1.76,3,0,0,1.6,0,0,0.35599999999999998,0.27300000000000002,0,0,0,0.6875,0.6875,0,0.45500000000000002,0,0.32200000000000001,0.29399999999999998,0,0,0,0,0,0,0,10400,17.8,2.0699999999999998,1.74,1.38,1.08,0.3,0.54300000000000004,0.26300000000000001,0.41299999999999998,0,7.2499999999999995E-2,0.46200000000000002,0,0,0,0,0,1.4,0.69,0,0]
["C","C3X5","C3X5","F",5,1.47,3,0,0,1.5,0,0,0.25800000000000001,0.27300000000000002,0,0,0,0.6875,0.6875,0,0.439,0,0.39200000000000002,0.245,0,0,0,0,0,0,0,8100,42.3,1.85,1.52,1.23,1.1200000000000001,0.24099999999999999,0.46400000000000002,0.22800000000000001,0.40500000000000003,0,4.2500000000000003E-2,0.379,0,0,0,0,0,1.45,0.67300000000000004,0,0]
["C","C3X4.1","C3X4.1","F",4.0999999999999996,1.2,3,0,0,1.41,0,0,0.17,0.27300000000000002,0,0,0,0.6875,0.6875,0,0.437,0,0.46100000000000002,0.26200000000000001,0,0,0,0,0,0,0,6540,85.7,1.65,1.32,1.1000000000000001,1.17,0.191,0.39900000000000002,0.19600000000000001,0.39800000000000002,0,2.69E-2,0.307,0,0,0,0,0,1.53,0.65500000000000003,0,0]
["C","C3X3.5","C3X3.5","F",3.5,1.0900000000000001,3,0,0,1.37,0,0,0.13200000000000001,0.27300000000000002,0,0,0,0.6875,0.6875,0,0.443,0,0.49299999999999999,0.29599999999999999,0,0,0,0,0,0,0,6020,111,1.57,1.24,1.04,1.2,0.16900000000000001,0.36399999999999999,0.182,0.39400000000000002,0,2.2599999999999999E-2,0.27600000000000002,0,0,0,0,0,1.57,0.64600000000000002,0,0]
[]
[]
["AISC 13th Edition  Table 1-6"]
["MC-Shapes  Dimensions and Properties"]
[]
["TYPE","EDI_STD_NOMENCLATURE","AISC_MANUAL_LABEL","T_F","W","A","d","Ht","OD","bf","b","ID","tw","tf","t","tnom","tdes","kdes","kdet","k1","x_bar","y","eo","xp","yp","bf/2tf","b/t","h/tw","Ht/t","D/t","FY3P","X1","X2","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","rz","J","Cw","C","Wno","SW","Qf","Qw","ro","H","tan(α)","Qs"]
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["MC","MC18X51.9","MC18X51.9","F",51.9,15.3,18,0,0,4.0999999999999996,0,0,0.6,0.625,0,0,0,1.4375,1.4375,0,0.85799999999999998,0,0.79700000000000004,0.42399999999999999,0,0,0,0,0,0,0,3200,2280,627,87.3,69.599999999999994,6.41,16.3,9.86,5.0199999999999996,1.03,0,2.0299999999999998,985,0,0,0,0,0,6.69,0.93899999999999995,0,0]
["MC","MC18X45.8","MC18X45.8","F",45.8,13.5,18,0,0,4,0,0,0.5,0.625,0,0,0,1.4375,1.4375,0,0.86599999999999999,0,0.90900000000000003,0.374,0,0,0,0,0,0,0,2750,3760,578,79.2,64.2,6.55,14.9,9.14,4.7699999999999996,1.05,0,1.45,897,0,0,0,0,0,6.86,0.93300000000000005,0,0]
["MC","MC18X42.7","MC18X42.7","F",42.7,12.6,18,0,0,3.95,0,0,0.45,0.625,0,0,0,1.4375,1.4375,0,0.877,0,0.96899999999999997,0.34899999999999998,0,0,0,0,0,0,0,2560,4760,554,75.099999999999994,61.5,6.64,14.3,8.82,4.6399999999999997,1.07,0,1.23,852,0,0,0,0,0,6.96,0.93,0,0]
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["MC","MC13X40","MC13X40","F",40,11.8,13,0,0,4.18,0,0,0.56000000000000005,0.61,0,0,0,1.4375,1.4375,0,0.96299999999999997,0,1.03,0.45200000000000001,0,0,0,0,0,0,0,4080,787,273,51.2,41.9,4.82,13.7,8.66,4.24,1.08,0,1.55,462,0,0,0,0,0,5.32,0.85899999999999999,0,0]
["MC","MC13X35","MC13X35","F",35,10.3,13,0,0,4.07,0,0,0.44700000000000001,0.61,0,0,0,1.4375,1.4375,0,0.98,0,1.1599999999999999,0.39600000000000002,0,0,0,0,0,0,0,3520,1260,252,46.5,38.799999999999997,4.95,12.3,8.0399999999999991,3.97,1.0900000000000001,0,1.1299999999999999,412,0,0,0,0,0,5.5,0.84899999999999998,0,0]
["MC","MC13X31.8","MC13X31.8","F",31.8,9.35,13,0,0,4,0,0,0.375,0.61,0,0,0,1.4375,1.4375,0,1,0,1.24,0.36,0,0,0,0,0,0,0,3230,1640,239,43.4,36.700000000000003,5.05,11.4,7.69,3.79,1.1000000000000001,0,0.93700000000000006,380,0,0,0,0,0,5.64,0.84199999999999997,0,0]
["MC","MC12X50","MC12X50","F",50,14.7,12,0,0,4.1399999999999997,0,0,0.83499999999999996,0.7,0,0,0,1.3125,1.3125,0,1.05,0,0.74099999999999999,0.61299999999999999,0,0,0,0,0,0,0,6150,146,269,56.5,44.9,4.28,17.399999999999999,10.9,5.64,1.0900000000000001,0,3.23,411,0,0,0,0,0,4.76,0.85899999999999999,0,0]
["MC","MC12X45","MC12X45","F",45,13.2,12,0,0,4.01,0,0,0.71199999999999997,0.7,0,0,0,1.3125,1.3125,0,1.04,0,0.84399999999999997,0.55100000000000005,0,0,0,0,0,0,0,5310,242,252,52,41.9,4.3600000000000003,15.8,10.1,5.31,1.0900000000000001,0,2.34,374,0,0,0,0,0,4.88,0.85099999999999998,0,0]
["MC","MC12X40","MC12X40","F",40,11.8,12,0,0,3.89,0,0,0.59,0.7,0,0,0,1.3125,1.3125,0,1.04,0,0.95199999999999996,0.49,0,0,0,0,0,0,0,4580,399,234,47.7,39,4.46,14.2,9.31,4.9800000000000004,1.1000000000000001,0,1.69,336,0,0,0,0,0,5,0.84099999999999997,0,0]
["MC","MC12X35","MC12X35","F",35,10.3,12,0,0,3.77,0,0,0.46700000000000003,0.7,0,0,0,1.3125,1.3125,0,1.05,0,1.07,0.42899999999999999,0,0,0,0,0,0,0,3970,632,216,43.2,36.1,4.59,12.6,8.6300000000000008,4.6500000000000004,1.1100000000000001,0,1.24,298,0,0,0,0,0,5.17,0.83199999999999996,0,0]
["MC","MC12X31","MC12X31","F",31,9.1199999999999992,12,0,0,3.67,0,0,0.37,0.7,0,0,0,1.3125,1.3125,0,1.08,0,1.17,0.42499999999999999,0,0,0,0,0,0,0,3590,849,202,39.700000000000003,33.700000000000003,4.71,11.3,8.15,4.37,1.1100000000000001,0,1,267,0,0,0,0,0,5.33,0.82199999999999995,0,0]
["MC","MC12X10.6","MC12X10.6","F",10.6,3.1,12,0,0,1.5,0,0,0.19,0.309,0,0,0,0.75,0.75,0,0.26900000000000002,0,0.28399999999999997,0.129,0,0,0,0,0,0,0,1870,23600,55.3,11.6,9.2200000000000006,4.22,0.378,0.63500000000000001,0.307,0.34899999999999998,0,5.96E-2,11.7,0,0,0,0,0,4.2699999999999996,0.98299999999999998,0,0]
["MC","MC10X41.1","MC10X41.1","F",41.1,12.1,10,0,0,4.32,0,0,0.79600000000000004,0.57499999999999996,0,0,0,1.3125,1.3125,0,1.0900000000000001,0,0.86399999999999999,0.60399999999999998,0,0,0,0,0,0,0,6650,106,157,39.299999999999997,31.5,3.61,15.7,9.49,4.8499999999999996,1.1399999999999999,0,2.2599999999999998,269,0,0,0,0,0,4.25,0.78900000000000003,0,0]
["MC","MC10X33.6","MC10X33.6","F",33.6,9.8699999999999992,10,0,0,4.0999999999999996,0,0,0.57499999999999996,0.57499999999999996,0,0,0,1.3125,1.3125,0,1.0900000000000001,0,1.06,0.49399999999999999,0,0,0,0,0,0,0,4960,291,139,33.700000000000003,27.8,3.75,13.1,8.2799999999999994,4.3499999999999996,1.1499999999999999,0,1.2,224,0,0,0,0,0,4.4800000000000004,0.76900000000000002,0,0]
["MC","MC10X28.5","MC10X28.5","F",28.5,8.3699999999999992,10,0,0,3.95,0,0,0.42499999999999999,0.57499999999999996,0,0,0,1.3125,1.3125,0,1.1200000000000001,0,1.21,0.41899999999999998,0,0,0,0,0,0,0,4070,557,126,30,25.3,3.89,11.3,7.59,3.99,1.1599999999999999,0,0.79100000000000004,193,0,0,0,0,0,4.67,0.751,0,0]
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["MC","MC10X22","MC10X22","F",22,6.45,10,0,0,3.32,0,0,0.28999999999999998,0.57499999999999996,0,0,0,1.3125,1.3125,0,0.99,0,1.1200000000000001,0.46700000000000003,0,0,0,0,0,0,0,3540,887,102,23.9,20.5,3.99,6.4,5.29,2.75,0.997,0,0.51,110,0,0,0,0,0,4.6100000000000003,0.79100000000000004,0,0]
["MC","MC10X8.4","MC10X8.4","F",8.4,2.46,10,0,0,1.5,0,0,0.17,0.28000000000000003,0,0,0,0.75,0.75,0,0.28399999999999997,0,0.33200000000000002,0.123,0,0,0,0,0,0,0,2000,16400,31.9,7.92,6.39,3.61,0.32600000000000001,0.54800000000000004,0.26800000000000002,0.36399999999999999,0,4.1300000000000003E-2,7,0,0,0,0,0,3.67,0.97199999999999998,0,0]
["MC","MC9X25.4","MC9X25.4","F",25.4,7.47,9,0,0,3.5,0,0,0.45,0.55000000000000004,0,0,0,1.25,1.25,0,0.97,0,0.98599999999999999,0.41499999999999998,0,0,0,0,0,0,0,4650,350,87.9,23.5,19.5,3.43,7.57,5.7,2.99,1.01,0,0.69099999999999995,104,0,0,0,0,0,4.08,0.77,0,0]
["MC","MC9X23.9","MC9X23.9","F",23.9,7.02,9,0,0,3.45,0,0,0.4,0.55000000000000004,0,0,0,1.25,1.25,0,0.98099999999999998,0,1.04,0.39,0,0,0,0,0,0,0,4350,435,84.9,22.5,18.899999999999999,3.48,7.14,5.51,2.89,1.01,0,0.59899999999999998,98,0,0,0,0,0,4.1500000000000004,0.76200000000000001,0,0]
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["MC","MC8X20","MC8X20","F",20,5.88,8,0,0,3.03,0,0,0.4,0.5,0,0,0,1.125,1.125,0,0.84,0,0.84299999999999997,0.36699999999999999,0,0,0,0,0,0,0,4740,328,54.4,16.399999999999999,13.6,3.04,4.42,3.86,2.02,0.86699999999999999,0,0.441,47.8,0,0,0,0,0,3.58,0.77900000000000003,0,0]
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["MC","MC7X19.1","MC7X19.1","F",19.100000000000001,5.61,7,0,0,3.45,0,0,0.35199999999999998,0.5,0,0,0,1.125,1.125,0,1.08,0,1.1499999999999999,0.57899999999999996,0,0,0,0,0,0,0,4910,238,43.1,14.5,12.3,2.77,6.06,4.8499999999999996,2.5499999999999998,1.04,0,0.40699999999999997,49.3,0,0,0,0,0,3.71,0.63800000000000001,0,0]
["MC","MC6X18","MC6X18","F",18,5.29,6,0,0,3.5,0,0,0.379,0.47499999999999998,0,0,0,1.0625,1.0625,0,1.1200000000000001,0,1.17,0.64400000000000002,0,0,0,0,0,0,0,5730,128,29.7,11.7,9.89,2.37,5.88,4.68,2.4700000000000002,1.05,0,0.379,34.6,0,0,0,0,0,3.46,0.56200000000000006,0,0]
["MC","MC6X15.3","MC6X15.3","F",15.3,4.49,6,0,0,3.5,0,0,0.34,0.38500000000000001,0,0,0,0.875,0.875,0,1.05,0,1.1599999999999999,0.51100000000000001,0,0,0,0,0,0,0,4750,278,25.3,9.91,8.44,2.38,4.91,3.85,2.0099999999999998,1.05,0,0.223,30,0,0,0,0,0,3.41,0.57899999999999996,0,0]
["MC","MC6X16.3","MC6X16.3","F",16.3,4.79,6,0,0,3,0,0,0.375,0.47499999999999998,0,0,0,1.0625,1.0625,0,0.92700000000000005,0,0.93,0.46500000000000002,0,0,0,0,0,0,0,5870,124,26,10.4,8.66,2.33,3.77,3.47,1.82,0.88700000000000001,0,0.33600000000000002,22.1,0,0,0,0,0,3.11,0.64300000000000002,0,0]
["MC","MC6X15.1","MC6X15.1","F",15.1,4.4400000000000004,6,0,0,2.94,0,0,0.316,0.47499999999999998,0,0,0,1.0625,1.0625,0,0.94,0,0.98199999999999998,0.54300000000000004,0,0,0,0,0,0,0,5420,160,24.9,9.83,8.3000000000000007,2.37,3.46,3.3,1.73,0.88300000000000001,0,0.28499999999999998,20.5,0,0,0,0,0,3.18,0.63400000000000001,0,0]
["MC","MC6X12","MC6X12","F",12,3.53,6,0,0,2.5,0,0,0.31,0.375,0,0,0,0.875,0.875,0,0.70399999999999996,0,0.72499999999999998,0.29399999999999998,0,0,0,0,0,0,0,4740,317,18.7,7.47,6.24,2.2999999999999998,1.85,1.97,1.03,0.72399999999999998,0,0.155,11.3,0,0,0,0,0,2.8,0.74,0,0]
[]
[]
[]
[]
[]
[]
[]
["AISC 13th Edition  Table 1-19",null,null,"Fy",{"$f":"'Crane Beam Design'!F44","v":50},"ksi"]
["W-Shapes with Cap Channels  Properties",null,null,"Es",29000,"ksi"]
[null,null,null,"Wt.","A","Ix","S1","S2","rx","y1","y2","Zx","yp","Iy","Sy","ry","Zy","Iyc","St","Zt","rT top","d / Af top","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdes","J","Zy","h/tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf"]
[null,null,null,4,{"$f":"D367+1","v":5},{"$f":"E367+1","v":6},7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Additional Properties Calculations for TABLE 1 and TABLE 2"]
[null,null,null,"Total","Total","Axis X-X",null,null,null,null,null,null,null,"Axis Y-Y",null,null,null," Top",null,null," Composite",null,"Max. Length",null," Composite",null,null,null,null,null,"W-Shape",null,null,null,null,null,null,null,null,null,null,null,"Channel",null,null,null,null,null,null,null,null,null,null,"Web slenderness",null,null,null,null,null,null,null,null,null,null,null,"Flange slenderness"]
["Section Name","W-Shape","Channel","Wt.","Area","I","S1","S2","r","y1","y2","Z","yp","I","S1","r","Z","Itop","Stop","Ztop","rT","d / Af","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdes","J","Zy","h/tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf",null,"Sxt/Sxc","Mp","My","lrw","lpw","lw","Web","Myt","lpw","lw","Web",null,"lpf_wf","lpf_chf","lpf_chw","lrf_wf","lrf_chf","lrf_chw","lf_wf","lf_chf","lf_chw","Flanges"]
[null,null,null,"lb/ft","in.2","in.4","in.3","in.3","in.","in.","in.","in.3","in.","in.4","in.3","in.","in.3","in.4","in.3","in.3","in.","in.-1",36,50,"in.","in.","in.3","in.","in.",null,"in.","in.","in.","in.","in.","in.3","in.3",null,"in.","in.",null,null,"in.2","in.","in.","in.4","in.3","in.3","in.",null,"in.","in.",null,null,"k*in","k*in","CFY","CFY","CFY","CFY","k*in","TFY","TFY","TFY"]
["W36x150 MC18x42.7","W36x150","MC18x42.7",193,56.8,12000,553,831,14.6,21.8,14.5,738,28,824,91.5,3.81,146,{"$f":"(AT372+((AH372*(AG372^3))/12))","v":689.36},{"$f":"R372/(AR372/2)","v":76.595555555555563},{"$f":"(AH372*(AG372^2)/4)+AU372","v":108.94},{"$f":"SQRT(((((K372-(AH372+AF372))/3)*(AF372^3)/12)+(AH372*(AG372^3)/12)+AT372)/((((K372-(AH372+AS372))/3)*AF372)+(AG372*AH372)+AQ372))","v":5.0900029344786288},{"$f":"(AE372+AS372)/(AQ372+(AG372*AH372))","v":1.5221943048576216},{"$f":"MAX(U372*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V372)/12)","v":30.414183096438943},{"$f":"MAX(U372*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V372)/12)","v":21.898211829436036},{"$f":"2*(AE372+AS372-M372-AS372-AH372)","v":13.920000000000002},{"$f":"2*(K372-AS372-AI372)","v":24.720000000000002},{"$f":"AV372+AJ372","v":11.33},{"$f":"((AG372*AH372)*(AS372 + AH372/2) + AQ372 * AW372)/ ((AG372*AH372) + AQ372)","v":0.89731155778894467},{"$f":"(AE372+AS372)-AB372-AH372/2","v":34.982688442211057},{"$f":"Z372/AF372","v":39.552000000000007},{"$f":"VLOOKUP($B372,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":35.9},0.625,12,0.94,1.69,10.1,70.900000000000006,51.9,{"$f":"AE372-(2*AI372)","v":32.519999999999996},{"$f":"2*(K372-(AI372+AS372))","v":24.72},{"$f":"AM372/AN372","v":1.3155339805825241},{"$f":"R372/N372","v":0.83660194174757285},{"$f":"VLOOKUP($C372,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":12.6},18,0.45,554,75.099999999999994,1.23,{"$f":"VLOOKUP($C372,CMCdatabase,HLOOKUP(AW$370,CMCcolumns,2,FALSE),FALSE)","v":0.877},0,3.95,0.625,null,{"$f":"G372/H372","v":0.66546329723225028},{"$f":"MIN(L372*Fy, 1.6*H372*Fy)","v":36900},{"$f":"MIN(G372,H372)*Fy","v":27650},{"$f":"5.7*SQRT(Es/Fy)","v":137.27417819823216},{"$f":" MIN((Z372/Y372)*SQRT(Es/Fy)/(0.54*BC372/BD372-0.09)^2,BE372)","v":107.53381607348368},{"$f":"Z372/AF372","v":39.552000000000007},{"$f":"IF(BG372<=BF372,\"Compact\",IF(BG372<=BE372,\"Noncompact\",\"Slender\"))","v":"Compact"},{"$f":"G372*Fy","v":27650},{"$f":" MIN((AC372/AB372)*SQRT(Es/Fy)/(0.54*BF372/BG372-0.09)^2,BH372)","v":494.34604943681762},{"$f":"AC372/AI372","v":20.699815646278733},{"$f":"IF(BK372<=BJ372,\"Compact\",IF(BK372<=BH372,\"Noncompact\",\"Slender\"))","v":"Compact"},null,{"$f":"0.38*SQRT(Es/Fy)","v":9.1516118798821449},9.1516118798821449,{"$f":"1.12*SQRT(Es/Fy)","v":26.973171856494744},{"$f":"1*SQRT(Es/Fy)","v":24.083189157584592},24.083189157584592,{"$f":"1.4*SQRT(Es/Fy)","v":33.716464820618427},{"$f":"AG372/2/AH372","v":6.3829787234042561},{"$f":"AY372/2/AZ372","v":3.16},{"$f":"AG372/AS372","v":26.666666666666664},{"$f":"IF(AND(BT372<=BN372,BU372<=BO372,BV372<=BP372),\"Compact\",IF(AND(BT372<=BQ372,BU372<=BR372,BV372<=BS372),\"NonCompact\",\"Slender\"))","v":"Compact"}]
["W36x150 C15x33.9","W36x150","C15x33.9",184,54.2,11500,546,764,14.6,21.1,15.1,716,25.9,584,77.900000000000006,3.28,122,450.36,60.048000000000002,84.639999999999986,4.3236016465066838,1.7098445595854923,{"$f":"MAX(U373*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V373)/12)","v":27.076318742985411},{"$f":"MAX(U373*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V373)/12)","v":19.494949494949491},18.119999999999997,26.02,11.11,{"$f":"((AG373*AH373)*(AS373 + AH373/2) + AQ373 * AW373)/ ((AG373*AH373) + AQ373)","v":0.83156853509185125},34.998431464908144,{"$f":"Z373/AF373","v":41.631999999999998},35.9,0.625,12,0.94,1.69,10.1,70.900000000000006,51.9,32.519999999999996,26.02,{"$f":"AM373/AN373","v":1.2498078401229822},0.77116438356164385,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,{"$f":"VLOOKUP($C373,CMCdatabase,HLOOKUP(AX$370,CMCcolumns,2,FALSE),FALSE)","v":0},3.4,0.65,null,{"$f":"G373/H373","v":0.71465968586387429},35800,27300,137.27417819823216,90.51088820300221,{"$f":"Z373/AF373","v":41.631999999999998},{"$f":"IF(BG373<=BF373,\"Compact\",IF(BG373<=BE373,\"Noncompact\",\"Slender\"))","v":"Compact"},27300,862.59644899721548,20.709131044324348,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.3829787234042561,2.6153846153846154,30,"NonCompact"]
["W33x141 MC18x42.7","W33x141","MC18x42.7",184,54.1,10000,490,750,13.6,20.399999999999999,13.3,652,27,800,88.9,3.85,142,675.67,75.074444444444438,106.83999999999999,5.0943435981391945,1.4276649746192893,32.427983539094654,23.348148148148152,10.68,22.380000000000003,10.93,0.90175126903553293,32.368248730964467,36.991735537190088,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,9.6999999999999993,66.900000000000006,49.6,29.979999999999997,22.380000000000003,1.3395889186773902,0.84458749999999994,12.6,18,0.45,554,75.099999999999994,1.23,0.877,0,3.95,0.625,null,0.65333333333333332,32600,24500,137.27417819823216,127.74677852376787,36.991735537190088,"Compact",24500,274.43115608735246,19.498945018653295,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.9895833333333339,3.16,25.555555555555554,"Compact"]
["W33x141 C15x33.9","W33x141","C15x33.9",175,51.5,9580,484,689,13.6,19.8,13.9,635,24.9,561,74.8,3.3,118,436.67,58.222666666666669,82.539999999999992,4.3092918053195373,1.6055264411624581,28.835586328167935,20.761622156280911,14.879999999999994,23.68,10.709999999999999,0.83638875655073841,32.383611243449259,39.140495867768593,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,9.6999999999999993,66.900000000000006,49.6,29.979999999999997,23.68,1.2660472972972971,0.77837789661319079,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.7024673439767779,31750,24200,137.27417819823216,100.19682921732124,39.140495867768593,"Compact",24200,558.29472540366203,19.508199544246544,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.9895833333333339,2.6153846153846154,28.75,"NonCompact"]
["W33x118 MC18x42.7","W33x118","MC18x42.7",161,47.2,8280,400,656,13.2,20.7,12.6,544,27.8,741,82.3,3.96,126,647.78729166666665,71.976365740740732,99.566249999999997,5.2841188992993668,1.5798199905258172,29.304792048420236,21.099450274862566,8.7200000000000006,21.42,6.5299999999999994,0.85402179062055905,32.125978209379447,38.945454545454545,32.9,0.55000000000000004,11.5,0.74,1.44,5.3,51.3,54.5,30.02,21.419999999999998,1.4014939309056957,0.87420687134502917,12.6,18,0.45,554,75.099999999999994,1.23,0.877,0,3.95,0.625,null,0.6097560975609756,27200,20000,137.27417819823216,137.27417819823216,38.945454545454545,"Compact",20000,275.50092522924894,22.309707089846839,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.7702702702702702,3.16,25.555555555555554,"Compact"]
["W33x118 C15x33.9","W33x118","C15x33.9",152,44.6,7900,395,596,13.3,20,13.3,529,25.5,502,66.900000000000006,3.35,102,408.78729166666665,54.504972222222221,75.266249999999999,4.4453394183571886,1.8039003250270853,25.664553442331226,18.478478478478483,13.319999999999993,22.92,6.31,0.77970205850487539,32.150297941495126,41.672727272727272,32.9,0.55000000000000004,11.5,0.74,1.44,5.3,51.3,54.5,30.02,22.92,1.3097731239092494,0.81431731407702523,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.66275167785234901,26450,19750,137.27417819823216,103.36094327709242,41.672727272727272,"Compact",19750,636.19907275492096,22.32659579270495,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.7702702702702702,2.6153846153846154,28.75,"NonCompact"]
["W30x116 MC18x42.7","W30x116","MC18x42.7",159,46.8,6900,365,598,12.1,18.899999999999999,11.5,492,26.1,718,79.8,3.92,124,635.99843750000002,70.666493055555563,98.528124999999989,5.2084787237838608,1.4146341463414636,32.726692209450832,23.563218390804593,6.0999999999999952,19.100000000000001,7.66,0.87617073170731707,29.148829268292683,33.80530973451328,30,0.56499999999999995,10.5,0.85,1.5,6.43,49.2,47.8,27,19.100000000000001,1.413612565445026,0.88579169568245131,12.6,18,0.45,554,75.099999999999994,1.23,0.877,0,3.95,0.625,null,0.61036789297658867,24600,18250,137.27417819823216,137.27417819823216,33.80530973451328,"Compact",18250,181.19792005842007,19.432552845528456,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.1764705882352944,3.16,23.333333333333332,"Compact"]
["W30x116 C15x33.9","W30x116","C15x33.9",150,44.1,6590,360,544,12.2,18.3,12.1,480,23.8,479,63.8,3.29,100,396.99843750000002,52.933125000000004,74.228124999999991,4.3567162234945656,1.6105960264900661,28.74482212475634,20.696271929824562,10.699999999999996,20.399999999999999,7.4399999999999995,0.80549536423841051,29.169504635761587,36.10619469026549,30,0.56499999999999995,10.5,0.85,1.5,6.43,49.2,47.8,27,20.399999999999999,1.3235294117647061,0.82880675887265143,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.66176470588235292,24000,18000,137.27417819823216,115.68559580080338,36.10619469026549,"Compact",18000,324.18797108585665,19.446336423841057,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.1764705882352944,2.6153846153846154,26.25,"Compact"]
["W30x99 MC18x42.7","W30x99","MC18x42.7",142,41.6,5830,304,533,11.8,19.2,10.9,412,26.4,682,75.8,4.05,114,618.63406250000003,68.737118055555555,93.566874999999996,5.3855834833544778,1.5355233002291826,30.150175050672562,21.708126036484245,5.26,18.260000000000002,5,0.84403743315508029,28.970962566844918,35.11538461538462,29.7,0.52,10.5,0.67,1.32,3.77,38.6,51.9,27.06,18.260000000000002,1.4819277108433733,0.9070880681818182,12.6,18,0.45,554,75.099999999999994,1.23,0.877,0,3.95,0.625,null,0.57035647279549717,20600,15200,137.27417819823216,137.27417819823216,35.11538461538462,"Compact",15200,202.38995766456767,21.947698914276451,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.8358208955223878,3.16,23.333333333333332,"Compact"]
["W30x99 C15x33.9","W30x99","C15x33.9",133,39,5550,300,481,11.9,18.5,11.5,408,24.4,442,59,3.37,89.4,379.63406250000003,50.617875000000005,69.266874999999999,4.4947868537420543,1.7721518987341771,26.12433862433863,18.80952380952381,9.259999999999998,19.559999999999999,4.78,0.76604798351486603,28.998952016485131,37.615384615384613,29.7,0.52,10.5,0.67,1.32,3.77,38.6,51.9,27.06,19.559999999999999,1.3834355828220859,0.85890059389140283,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.62370062370062374,20400,15000,137.27417819823216,122.50696960211124,37.615384615384613,"Compact",15000,327.40817142270828,21.968903042791766,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.8358208955223878,2.6153846153846154,26.25,"Compact"]
["W27x94 C15x33.9","W27x94","C15x33.9",128,37.6,4530,268,435,11,16.899999999999999,10.4,357,23.6,439,58.5,3.41,89.6,376.89726952125,50.252969269499999,69.387768624999993,4.4652892806431437,1.5696375747087112,29.494895536562211,21.23632478632479,5.1099999999999914,17.32,5.04,{"$f":"((AG382*AH382)*(AS382 + AH382/2) + AQ382 * AW382)/ ((AG382*AH382) + AQ382)","v":0.78136730237946694},{"$f":"(AE382+AS382)-AB382-AH382/2","v":26.14613269762053},35.346938775510203,{"$f":"VLOOKUP($B382,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":26.9},0.49,9.99,0.745,1.34,4.03,38.799999999999997,49.5,24.22,17.32,1.3983833718244802,0.85853592146070612,{"$f":"VLOOKUP($C382,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":9.9499999999999993},15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.61609195402298855,17850,13400,137.27417819823216,137.27417819823216,35.346938775510203,"Compact",13400,200.03400375003005,19.512039326582485,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.7046979865771812,2.6153846153846154,24.974999999999998,"Compact"]
["W27x84 C15x33.9","W27x84","C15x33.9",118,34.700000000000003,4050,237,403,10.8,17.100000000000001,10,316,23.9,420,56,3.48,83.9,367.69588992000001,49.026118656000001,66.672256000000004,4.5581984702630924,1.6600916419592755,27.887795544622122,20.079212792127922,4.3199999999999985,16.72,3.8200000000000003,{"$f":"((AG383*AH383)*(AS383 + AH383/2) + AQ383 * AW383)/ ((AG383*AH383) + AQ383)","v":0.76144715885423031},{"$f":"(AE383+AS383)-AB383-AH383/2","v":26.018552841145766},36.347826086956516,26.7,0.46,9.9600000000000009,0.64,1.24,2.81,33.200000000000003,52.7,24.22,16.72,1.4485645933014355,0.87546640457142866,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.58808933002481389,15800,11850,137.27417819823216,137.27417819823216,36.347826086956516,"Compact",11850,216.54679791302846,20.982703904149812,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.7812500000000009,2.6153846153846154,24.900000000000002,"Compact"]
["W24x84 C15x33.9","W24x84","C15x33.9",118,34.700000000000003,3340,217,367,9.82,15.4,9.1,286,21.6,409,54.5,3.43,83.4,362.09004351333334,48.278672468444448,66.461877000000001,4.4681730002328441,1.4500988434721878,31.926303854875286,22.9869387755102,3.4599999999999973,14.86,4.71,0.7867667530807203,23.328233246919279,31.617021276595747,24.1,0.47,9.02,0.77,1.27,3.7,32.6,45.9,21.560000000000002,14.86,1.4508748317631226,0.88530572986145073,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.59128065395095364,14300,10850,137.27417819823216,137.27417819823216,31.617021276595747,"Compact",10850,140.48359345051094,18.368687595999432,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.8571428571428568,2.6153846153846154,22.549999999999997,"Compact"]
["W24x84 C12x20.7","W24x84","C12x20.7",105,30.8,3030,211,302,9.92,14.3,10,275,18.5,223,37.200000000000003,2.69,58.2,176.09004351333334,29.348340585555558,41.261876999999998,3.4938698520615032,1.8718810938627604,24.732498473372896,17.807398900828481,9.6600000000000037,16.896000000000001,4.069,0.68147018901530843,23.315529810984692,35.948936170212768,24.1,0.47,9.02,0.77,1.27,3.7,32.6,45.9,21.560000000000002,16.896000000000001,1.2760416666666667,0.78964145073243652,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.69867549668874174,13750,10550,137.27417819823216,111.80959518049876,35.948936170212768,"Compact",10550,326.11969145508442,18.358684890539127,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.8571428571428568,2.9341317365269459,31.98581560283688,"NonCompact"]
["W24x68 C15x33.9","W24x68","C15x33.9",102,30,2710,173,321,9.51,15.7,8.4600000000000009,232,21.7,385,51.3,3.58,75.3,350.18454580874999,46.6912727745,62.567406624999997,4.6449223200373035,1.5857923533224323,29.194425234362996,21.019986168741358,2.8299999999999974,13.940000000000001,2.88,0.75502529207202518,23.052474707927971,33.590361445783138,23.7,0.41499999999999998,8.9700000000000006,0.58499999999999996,1.0900000000000001,1.87,24.5,52,21.52,13.940000000000001,1.5437589670014344,0.90957024885389604,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.5389408099688473,11600,8650,137.27417819823216,137.27417819823216,33.590361445783138,"Compact",8650,164.09677867358477,21.14905936507153,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.6666666666666679,2.6153846153846154,22.425000000000001,"Compact"]
["W24x68 C12x20.7","W24x68","C12x20.7",88.7,26.1,2440,168,258,9.67,14.5,9.49,224,19.2,199,32.299999999999997,2.76,50,164.18454580875002,27.364090968125002,37.367406625000001,3.6214383078337522,2.1171578775452553,21.867191288528122,15.744377727740249,7.83,16.236000000000001,2.2389999999999999,0.64078852919236018,23.048711470807639,39.122891566265061,23.7,0.41499999999999998,8.9700000000000006,0.58499999999999996,1.0900000000000001,1.87,24.5,52,21.52,16.236000000000001,1.3254496181325448,0.82504796888819099,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.65116279069767447,11200,8400,137.27417819823216,125.82014416406055,39.122891566265061,"Compact",8400,319.47866674757546,21.145606853951961,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.6666666666666679,2.9341317365269459,31.808510638297879,{"$f":"IF(AND(BT387<=BN387,BU387<=BO387,BV387<=BP387),\"Compact\",IF(AND(BT387<=BQ387,BU387<=BR387,BV387<=BS387),\"NonCompact\",\"Slender\"))","v":"NonCompact"}]
["W21x68 C15x33.9","W21x68","C15x33.9",102,30,2180,156,287,8.52,13.9,7.59,207,19.3,379,50.6,3.56,75.099999999999994,347.28686323791669,46.304915098388889,62.512284124999994,4.5813040029348171,1.3768856128261697,33.6239233419466,24.209224806201551,2.2299999999999986,12,3.46,0.77149304832868504,20.386006951671312,27.906976744186046,21.1,0.43,8.27,0.68500000000000005,1.19,2.4500000000000002,24.4,43.6,18.720000000000002,12,1.5600000000000003,0.91632417740875116,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.54355400696864109,10350,7800,137.27417819823216,137.27417819823216,27.906976744186046,"Compact",7800,96.630541377424777,17.131098278715388,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.0364963503649625,2.6153846153846154,20.674999999999997,{"$f":"IF(AND(BT388<=BN388,BU388<=BO388,BV388<=BP388),\"Compact\",IF(AND(BT388<=BQ388,BU388<=BR388,BV388<=BS388),\"NonCompact\",\"Slender\"))","v":"Compact"}]
["W21x68 C12x20.7","W21x68","C12x20.7",88.7,26.1,1970,152,232,8.67,12.9,8.49,200,17.600000000000001,194,32.299999999999997,2.72,50,161.28686323791666,26.881143872986112,37.312284125000005,3.5466834437253616,1.8205271201665398,25.430160190121843,18.309715336887724,5.63,14.036000000000001,2.819,0.66254869326817056,20.376951306731829,32.641860465116281,21.1,0.43,8.27,0.68500000000000005,1.19,2.4500000000000002,24.4,43.6,18.720000000000002,14.036000000000001,1.3337133086349389,0.83137558370060138,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.65517241379310343,10000,7600,137.27417819823216,137.27417819823216,32.641860465116281,"Compact",7600,155.71975123871866,17.123488493051958,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.0364963503649625,2.9341317365269459,29.326241134751776,"NonCompact"]
["W21x62 C15x33.9","W21x62","C15x33.9",95.9,28.2,2000,142,272,8.41,14.1,7.33,189,19.399999999999999,372,49.6,3.63,72.5,343.67315647999999,45.823087530666662,61.239255999999997,4.6551511240082979,1.4249946729171106,32.488750432675673,23.391900311526481,1.9700000000000002,11.62,2.84,0.76083575271681236,20.331664247283186,29.049999999999997,21,0.4,8.24,0.61499999999999999,1.1200000000000001,1.83,21.7,46.9,18.759999999999998,11.620000000000001,1.6144578313253009,0.92385257118279562,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.5220588235294118,9450,7100,137.27417819823216,137.27417819823216,29.049999999999997,"Compact",7100,106.19682595768535,18.153271649359986,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.6991869918699187,2.6153846153846154,20.599999999999998,"Compact"]
["W21x62 C12x20.7","W21x62","C12x20.7",82.7,24.3,1800,138,218,8.59,13,8.26,183,18.100000000000001,186,31.1,2.77,47.3,157.67315647999999,26.278859413333333,36.039256000000002,3.605605046286632,1.9091104811798054,24.250192303006894,17.460138458164959,4.5699999999999967,13.715999999999999,2.1989999999999998,0.64867686318131246,20.325823136818688,34.29,21,0.4,8.24,0.61499999999999999,1.1200000000000001,1.83,21.7,46.9,18.759999999999998,13.715999999999999,1.3677456984543599,0.84770514236559136,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.6330275229357798,9150,6900,137.27417819823216,137.27417819823216,34.29,"Compact",6900,175.80809895636347,18.148056372159541,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.6991869918699187,2.9341317365269459,29.219858156028373,"NonCompact"]
["W18x50 C15x33.9","W18x50","C15x33.9",83.9,24.6,1250,100,211,7.12,12.5,5.92,133,16.899999999999999,354,47.3,3.79,67.3,335.0390625,44.671875,58.815624999999997,4.7562340745995639,1.2934973637961336,35.791566022544288,25.769927536231886,1.0600000000000003,9.0960000000000001,2.25,0.7570456942003515,17.357954305799648,25.622535211267607,{"$f":"VLOOKUP($B392,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":18},0.35499999999999998,7.5,0.56999999999999995,0.97199999999999998,1.24,16.600000000000001,45.2,16.056000000000001,9.0960000000000001,1.7651715039577838,0.94643802966101698,{"$f":"VLOOKUP($C392,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":9.9499999999999993},15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.47393364928909953,6650,5000,137.27417819823216,137.27417819823216,25.622535211267607,"Compact",5000,70.277986881753279,17.857977680863836,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.5789473684210531,2.6153846153846154,18.75,"Compact"]
["W18x50 C12x20.7","W18x50","C12x20.7",70.7,20.7,1120,97.3,166,7.35,11.5,6.76,127,16.100000000000001,169,28.2,2.85,42.2,149.0390625,24.83984375,33.615625000000001,3.671966103541584,1.7655239014968613,26.222412654422282,18.880137111184045,2.6599999999999975,11.012,1.609,0.64391743119266043,17.353082568807338,31.019718309859158,18,0.35499999999999998,7.5,0.56999999999999995,0.97199999999999998,1.24,16.600000000000001,45.2,16.056000000000001,11.012,1.4580457682528152,0.88188794378698221,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.58614457831325295,6350,4865,137.27417819823216,137.27417819823216,31.019718309859158,"Compact",4865,122.71996188846023,17.852965605768865,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.5789473684210531,2.9341317365269459,26.595744680851066,"Compact"]
["W16x36 C15x33.9","W16x36","C15x33.9",69.900000000000006,20.5,748,64.5,160,6.04,11.6,4.67,86.8,15.2,339,45.2,4.0599999999999996,61.6,327.23823354749999,43.631764472999997,56.052460749999995,4.9541033365023992,1.2581334856472441,36.797602817541467,26.494274028629849,0.54000000000000281,6.8759999999999994,1.5550000000000002,0.74786429911158792,15.337135700888412,23.308474576271184,15.9,0.29499999999999998,6.99,0.43,0.83199999999999996,0.54500000000000004,10.8,48.1,14.236000000000001,6.8759999999999994,2.0703897614892384,0.96530452373893805,9.9499999999999993,15,0.4,315,50.8,1.01,0.78800000000000003,0,3.4,0.65,null,0.40312500000000001,4340,3225,137.27417819823216,137.27417819823216,23.308474576271184,"Compact",3225,51.716936401733612,18.434057332798574,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.1279069767441872,2.6153846153846154,17.474999999999998,"Compact"]
["W16x36 C12x20.7","W16x36","C12x20.7",56.7,16.600000000000001,670,62.8,123,6.34,10.7,5.47,83.2,14.6,153,25.6,3.04,36.4,141.23823354749999,23.539705591249998,30.852460750000002,3.8450190505576893,1.7810405362272581,25.993959909730524,18.715651135005974,1.739999999999998,8.7119999999999997,0.91400000000000003,0.63150587186457841,15.335494128135421,29.53220338983051,15.9,0.29499999999999998,6.99,0.43,0.83199999999999996,0.54500000000000004,10.8,48.1,14.236000000000001,8.7119999999999997,1.6340679522497705,0.92312570946078421,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.51056910569105685,4160,3140,137.27417819823216,137.27417819823216,29.53220338983051,"Compact",3140,99.856558861657518,18.432084288624306,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.1279069767441872,2.9341317365269459,24.787234042553195,"Compact"]
["W14x30 C12x20.7","W14x30","C12x20.7",50.7,14.9,447,46.7,98.1,5.47,9.57,4.55,62,12.9,149,24.8,3.16,34.6,138.77968071208335,23.129946785347226,29.959441625000004,3.9223874189361223,1.6240247720864254,28.507136770345124,20.52513847464849,1.0300000000000007,6.9659999999999993,0.749,0.63121458473887226,13.258285415261128,25.799999999999997,13.8,0.27,6.73,0.38500000000000001,0.78500000000000003,0.38,8.99,45.4,12.23,6.9659999999999993,1.7556703990812521,0.93140725310123051,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.47604485219164122,3100,2335,137.27417819823216,137.27417819823216,25.799999999999997,"Compact",2335,65.304272844890789,16.889535560842202,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.7402597402597397,2.9341317365269459,23.86524822695036,"Compact"]
["W14x30 C10x15.3","W14x30","C10x15.3",45.3,13.3,420,46,84.5,5.61,9.11,4.97,60.3,12.6,86.8,17.399999999999999,2.5499999999999998,24.9,77.079680712083331,15.415936142416665,20.259441625000001,3.2140014428172301,1.9855608431562497,23.316483328057405,16.787867996201332,1.6300000000000026,7.8899999999999988,0.58899999999999997,0.56016420828589808,13.287335791714103,29.222222222222214,13.8,0.27,6.73,0.38500000000000001,0.78500000000000003,0.38,8.99,45.4,12.23,7.89,1.5500633713561471,0.8880147547475038,4.4800000000000004,10,0.24,67.3,15.9,0.20899999999999999,0.63400000000000001,0,2.6,0.436,null,0.54437869822485208,3015,2300,137.27417819823216,137.27417819823216,29.222222222222214,"Compact",2300,95.427722521352919,16.926542409826883,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.7402597402597397,2.9816513761467891,28.041666666666668,"NonCompact"]
["W12x26 C12x20.7","W12x26","C12x20.7",46.7,13.7,318,36.799999999999997,82.1,4.8099999999999996,8.6300000000000008,3.87,48.2,11.6,146,24.4,3.27,33.700000000000003,137.65638255166667,22.942730425277777,29.601409500000003,3.9568761058287438,1.4605321663429358,31.698238055392366,22.8227313998825,0.43999999999999928,5.8159999999999998,0.66900000000000004,0.63278257003112481,11.659217429968875,25.286956521739128,12.2,0.23,6.49,0.38,0.68,0.3,8.17,47.2,10.84,5.8160000000000007,1.8638239339752405,0.94285193528538813,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,0,2.94,0.501,null,0.44823386114494518,2410,1839.9999999999998,137.27417819823216,137.27417819823216,25.286956521739128,"Compact",1839.9999999999998,54.959340081600864,17.145907985248343,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.5394736842105257,2.9341317365269459,23.014184397163124,"Compact"]
["W12x26 C10x15.3","W12x26","C10x15.3",41.3,12.1,299,36.299999999999997,70.5,4.96,8.2200000000000006,4.24,47,11.3,84.5,16.899999999999999,2.64,24.1,75.956382551666664,15.191276510333333,19.9014095,3.2426852130650134,1.7909072586450141,25.850750267952847,18.612540192926051,1.0399999999999976,6.64,0.50900000000000001,0.56157121879588834,11.688428781204111,28.869565217391301,12.2,0.23,6.49,0.38,0.68,0.3,8.17,47.2,10.84,6.6400000000000006,1.6325301204819276,0.89889210120315577,4.4800000000000004,10,0.24,67.3,15.9,0.20899999999999999,0.63400000000000001,0,2.6,0.436,null,0.51489361702127656,2350,1814.9999999999998,137.27417819823216,137.27417819823216,28.869565217391301,"Compact",1814.9999999999998,81.652937216921899,17.188865854711928,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.5394736842105257,2.9816513761467891,27.041666666666668,"NonCompact"]

{"sheet":"Section Properties","index":13,"n_rows":110,"n_cols":12,"rows_kept":110,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"COMBINED SECTION PROPERTIES"]
[]
[null,null,"W SHAPE BEAM",null,null,"Link cell: ",105]
[]
[null,null,"Design Section",null,{"$f":"F54","v":"W24X146"}]
[null,null,null,null,{"$f":"VLOOKUP(G7,'Crane Beam Design'!R49:S51,2,FALSE)","v":"AISC 14th Edition"},null,{"$f":"'Crane Beam Design'!T48","v":2},null,null,null,null,"y 2"]
[null,null,"Total Section Weight",null,"Wt.",{"$f":"IF(ShapeType<2,F55,'Custom Section Properties'!F8)","v":146}," plf"]
[null,null,"Cross-sectional Area",null,"A",{"$f":"IF(ShapeType<2,F56,'Custom Section Properties'!F9)","v":43}," in.2","   NA"]
[null,null,"Total Depth",null,"d",{"$f":"IF(ShapeType<2,F57,'Custom Section Properties'!F10)","v":24.7}," in."]
[null,null,"Web Depth",null,"h",{"$f":"IF(ShapeType<2,F58,'Custom Section Properties'!F11)","v":21.52}," in.",null,null,null,null,"y 1"]
[null,null,"Web Thickness",null,"tw",{"$f":"IF(ShapeType<2,F59,'Custom Section Properties'!F12)","v":0.65}," in."]
[null,null,"Flange Width",null,"bf",{"$f":"IF(ShapeType<2,F60,'Custom Section Properties'!F13)","v":12.9}," in."]
[null,null,"Flange Thickness",null,"tf",{"$f":"IF(ShapeType<2,F61,'Custom Section Properties'!F14)","v":1.0900000000000001}," in.","Compact Criteria",null,"d / tw",{"$f":"IF(ShapeType<2,F66,'Custom Section Properties'!K24)","v":38}]
[null,null,"Moment of Inertia",null,"Ix",{"$f":"IF(ShapeType<2,F72,'Custom Section Properties'!F19)","v":4580}," in.4","Area Top",null,"A top",{"$f":"IF(ShapeType<2,F60*F61,'Custom Section Properties'!K14)","v":14.061000000000002}," in.2"]
[null,null,"Section Modulus",null,"Sx",{"$f":"IF(ShapeType<2,F73,'Custom Section Properties'!F15)","v":371}," in.3","Depth / Flange Area",null,"d / Af top",{"$f":"IF(ShapeType<2,F69,'Custom Section Properties'!K15)","v":1.7566318185050847}]
[null,null,"Radius of Gyration",null,"rx",{"$f":"IF(ShapeType<2,F74,'Custom Section Properties'!F17)","v":10.3}," in.","Radius of Gyration",null,"rT top",{"$f":"IF(ShapeType<2,F68,'Custom Section Properties'!K16)","v":3.4383658250571103}," in."]
[null,null,"Plastic Modulus",null,"Zx",{"$f":"IF(ShapeType<2,F75,'Custom Section Properties'!F18)","v":418}," in.3","Moment of Inertia",null,"It",{"$f":"IF(ShapeType<2,F61*(F60^3)/12,'Custom Section Properties'!K17)","v":194.99091749999999}," in.4"]
[null,null,"Moment of Inertia",null,"Iy",{"$f":"IF(ShapeType<2,F76,'Custom Section Properties'!F19)","v":391}," in.4","Section Modulus",null,"St",{"$f":"IF(ShapeType<2,F61*(F60^2)/6,'Custom Section Properties'!K18)","v":30.23115}," in.3"]
[null,null,"Section Modulus",null,"Sy",{"$f":"IF(ShapeType<2,F77,'Custom Section Properties'!F20)","v":60.5}," in.3","Plastic Modulus",null,"Zt",{"$f":"IF(ShapeType<2,F61*(F60^2)/4,'Custom Section Properties'!K19)","v":45.346724999999999}," in.3"]
[null,null,"Radius of Gyration",null,"ry",{"$f":"IF(ShapeType<2,F78,'Custom Section Properties'!F21)","v":3.01}," in.","Radius of Gyration Top",null,"ry top",{"$f":"IF(ShapeType<2,SQRT(K18/K15),'Custom Section Properties'!K20)","v":3.7239092362730859}," in."]
[null,null,"Plastic Modulus",null,"Zy",{"$f":"IF(ShapeType<2,F79,'Custom Section Properties'!F22)","v":93.2}," in.3","Torsional Constant",null,"J",{"$f":"IF(ShapeType<2,F80,'Custom Section Properties'!K21)","v":13.4}," in.4"]
[null,null,"Compact Criteria",null,"bf / 2 tf",{"$f":"IF(ShapeType<2,F65,'Custom Section Properties'!K23)","v":5.92},null,"Warping Constant",null,"Cw",{"$f":"IF(ShapeType<2,F81,'Custom Section Properties'!K22)","v":54600}," in.6"]
[null,null,"Compact Criteria",null,"h / tw",{"$f":"IF(ShapeType<2,F67,'Custom Section Properties'!K25)","v":33.200000000000003},null,"Effective radius of gyration",null,"rts",{"$f":"SQRT(SQRT(Iy_wf*Cw_wf)/Sx_wf)","v":3.5290303651737767},"in."]
[null,null,"Distance between flange centroids",null,"h0",{"$f":"IF(ShapeType<2,F57-F61,'Custom Section Properties'!F16)","v":23.61},"in."]
[null,null,"W SHAPE BEAM + CAP CHANNEL",null,null,null,11]
[]
[null,null,"Combined Section",null,"W27x94 C15x33.9"]
[null,null,null,null,{"$f":"VLOOKUP(G29,'Crane Beam Design'!R49:S51,2,FALSE)","v":"AISC 14th Edition"},null,{"$f":"'Crane Beam Design'!T48","v":2},null,null,null,null,"y 2"]
[null,null,"Total Section Weight",null,"Wt.",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E30,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":128}," plf"]
[null,null,"Cross-sectional Area",null,"A",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E31,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":37.6}," in.2","   NA"]
[null,null,"Total Depth",null,"d total",{"$f":"F86+K87","v":27.299999999999997}," in."]
[null,null,"Distance to N. A.",null,"y2",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E33,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":10.4}," in.",null,null,null,null,"y 1"]
[null,null,"Distance to N. A.",null,"y1",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E34,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":16.899999999999999}," in."]
[null,null,"Web Depth",null,"h",{"$f":"F95","v":24.22}," in."]
[null,null,"Moment of Inertia",null,"Ix",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E36,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":4530}," in.4","Area Top",null,"A top",{"$f":"K85+(F88*F89)","v":17.45}," in.2"]
[null,null,"Section Modulus",null,"S2",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E37,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":435}," in.3","Depth / Flange Area",null,"d / Af top",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J37,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":1.5644699140401146}]
[null,null,null,null,"S1",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E38,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":268}," in.3","Radius of Gyration",null,"rT top",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J38,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":4.4596199842641298}," in."]
[null,null,"Radius of Gyration",null,"rx",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E39,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":11}," in.","Moment of Inertia",null,"Iyc",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J39,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":377.08333333333331}," in.4"]
[null,null,"Plastic Modulus",null,"Zx",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E40,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":357}," in.3","Section Modulus",null,"St",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J40,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":50.277777777777779}," in.3"]
[null,null,"Moment of Inertia",null,"Iy",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E41,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":439}," in.4","Plastic Modulus",null,"Zt",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J41,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":69.424999999999997}," in.3"]
[null,null,"Section Modulus",null,"Sy",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E42,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":58.5}," in.3","Radius of Gyration Top",null,"ry top",{"$f":"SQRT(K39/K36)","v":4.6485868902720089}," in."]
[null,null,"Radius of Gyration",null,"ry",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E43,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":3.41}," in.","Torsional Constant",null,"J",{"$f":"IF(I_yc/I_y<=0.23,0,VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J43,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE))","v":5.04}," in.4"]
[null,null,"Plastic Modulus",null,"Zy",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E44,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":89.6}," in.3","Warping Constant",null,"Cw",0," in.6"]
[null,null,"Depth",null,"h/hc",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(E45,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":1.3983833718244802},null,"Web slenderness ratio",null,"hc/tw",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J45,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":35.346938775510203}]
[null,null,"Twice the distance from the P.N.A. to the inside face of the compression flange",null,null,null,null,null,null,"hp",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J46,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":5.1099999999999914}," in."]
[null,null,"Twice the distance from the C.O.G. to the inside face of the compression flange",null,null,null,null,null,null,"hc",{"$f":"VLOOKUP($E$28,IF($G$29=0,Table1_17,IF($G$29=1,'AISC 13'!Table1_19,'AISC 14'!Table1_19)),HLOOKUP(J47,IF($G$29=0,T_1_17_Columns,IF($G$29=1,'AISC 14'!T_1_19_columns,'AISC 13'!T_1_19_columns)),2,FALSE),FALSE)","v":17.32}," in."]
[null,null,"Distance between flange centroids",null,null,null,null,null,null,"h0",{"$f":"(d_wf+t_w_ch)-d_cf-t_f_wf/2","v":26.146117478510028},"in."]
[null,null,"Distance to compression flange centroid from the outside face of the channel",null,null,null,null,null,null,"dcf",{"$f":"((b_f_wf*t_f_wf)*(t_w_ch+t_f_wf/2)+(A_ch*x_bar))/((b_f_wf*t_f_wf)+A_ch)","v":0.78138252148997145},"in."]
[]
[null,null,"INDIVIDUAL SECTION PROPERTIES"]
[]
[null,null,"W SHAPE BEAM"]
[null,null,"Shape Designation",null,null,"W24X146"]
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[null,null,"Plastic Modulus",null,"Zy",{"$f":"VLOOKUP(F$83,IF($G$29=0,Wdatabase,IF($G$29=1,'AISC 13'!Wdatabase,'AISC 14'!Wdatabase)),HLOOKUP(E108,IF($G$29=0,Wcolumns,IF($G$29=1,'AISC 13'!Wcolumns,'AISC 14'!Wcolumns)),2,FALSE),FALSE)","v":38.799999999999997}," in.4","Plastic Modulus",null,"Zy",{"$f":"VLOOKUP(K$83,IF($G$29=0,CMCdatabase,IF($G$29=1,'AISC 13'!CMCdatabase,'AISC 14'!CMCdatabase)),HLOOKUP(J108,IF($G$29=0,CMCcolumns,IF($G$29=1,'AISC 13'!CMCcolumns,'AISC 14'!CMCcolumns)),2,FALSE),FALSE)","v":6.19}," in.4"]
[null,null,"Torsional Constant",null,"J",{"$f":"VLOOKUP(F$83,IF($G$29=0,Wdatabase,IF($G$29=1,'AISC 13'!Wdatabase,'AISC 14'!Wdatabase)),HLOOKUP(E109,IF($G$29=0,Wcolumns,IF($G$29=1,'AISC 13'!Wcolumns,'AISC 14'!Wcolumns)),2,FALSE),FALSE)","v":4.03}," in.4","Torsional Constant",null,"J",{"$f":"VLOOKUP(K$83,IF($G$29=0,CMCdatabase,IF($G$29=1,'AISC 13'!CMCdatabase,'AISC 14'!CMCdatabase)),HLOOKUP(J109,IF($G$29=0,CMCcolumns,IF($G$29=1,'AISC 13'!CMCcolumns,'AISC 14'!CMCcolumns)),2,FALSE),FALSE)","v":1.01}," in.4"]
[null,null,"Warping Constant",null,"Cw",{"$f":"VLOOKUP(F$83,IF($G$29=0,Wdatabase,IF($G$29=1,'AISC 13'!Wdatabase,'AISC 14'!Wdatabase)),HLOOKUP(E110,IF($G$29=0,Wcolumns,IF($G$29=1,'AISC 13'!Wcolumns,'AISC 14'!Wcolumns)),2,FALSE),FALSE)","v":21300}," in.6","Warping Constant",null,"Cw",{"$f":"VLOOKUP(K$83,IF($G$29=0,CMCdatabase,IF($G$29=1,'AISC 13'!CMCdatabase,'AISC 14'!CMCdatabase)),HLOOKUP(J110,IF($G$29=0,CMCcolumns,IF($G$29=1,'AISC 13'!CMCcolumns,'AISC 14'!CMCcolumns)),2,FALSE),FALSE)","v":358}," in.6"]

{"sheet":"AISC 14","index":14,"n_rows":403,"n_cols":75,"rows_kept":403,"cut":false,"hidden":false,"merged":[[368,5,368,12],[368,13,368,16],[368,17,368,19],[368,20,368,21],[368,22,368,23],[402,71,402,74],[368,53,368,59],[368,42,368,51],[368,30,368,41],[367,17,367,29],[368,24,368,29]]}
["AISC 14th Edition  Table 1-1"]
["W-Shapes  Dimensions and Properties",null,null,null,"d",{"$f":"HLOOKUP(E2,Wcolumns,2,FALSE)","v":5}]
[]
["Type","EDI_Std_Nomenclature","AISC_Manual_Label","T_F","W","A","d","ddet","Ht","OD","bf","bfdet","b","ID","tw","twdet","twdet/2","tf","tfdet","t","tnom","tdes","kdes","kdet","k1","x_bar","y","eo","xp","yp","bf/2tf","b/t","h/tw","Ht/t","D/t","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","Iz","rz","Sz","J","Cw","C","Wno","Sw1","Sw2","Sw3","Qf","Qw","ro","H","tan(α)","Qs","Iw","SwA","SwB","SwC","SzA","SzB","SzC","rts","ho","PA","PB"]
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["W","W40X593","W40X593","T",593,174,43,43,"–","–",16.7,16.75,"–","–",1.79,1.8125,0.9375,3.23,3.25,"–","–","–",4.41,4.5,2.125,"–","–","–","–","–",2.58,"–",19.100000000000001,"–","–",50400,2760,2340,17,2520,481,302,3.8,"–","–","–",445,997000,"–",166,2240,"–","–",479,1370,"–","–","–","–","–","–","–","–","–","–","–",4.63,39.799999999999997,130,147]
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["W","W40X249","W40X249","F",249,73.5,39.4,39.375,"–","–",15.8,15.75,"–","–",0.75,0.75,0.375,1.42,1.4375,"–","–","–",2.6,2.6875,1.5625,"–","–","–","–","–",5.55,"–",45.6,"–","–",19600,1120,993,16.3,926,182,118,3.55,"–","–","–",38.1,334000,"–",150,841,"–","–",203,551,"–","–","–","–","–","–","–","–","–","–","–",4.21,38,122,138]
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["W","W40X392","W40X392","T",392,116,41.6,41.625,"–","–",12.4,12.375,"–","–",1.42,1.4375,0.75,2.52,2.5,"–","–","–",3.7,3.8125,1.9375,"–","–","–","–","–",2.4500000000000002,"–",24.1,"–","–",29900,1710,1440,16.100000000000001,803,212,130,2.64,"–","–","–",172,306000,"–",121,946,"–","–",270,848,"–","–","–","–","–","–","–","–","–","–","–",3.3,39.1,116,128]
["W","W40X331","W40X331","T",331,97.7,40.799999999999997,40.75,"–","–",12.2,12.125,"–","–",1.22,1.25,0.625,2.13,2.125,"–","–","–",3.31,3.375,1.8125,"–","–","–","–","–",2.86,"–",28,"–","–",24700,1430,1210,15.9,644,172,106,2.57,"–","–","–",105,241000,"–",118,766,"–","–",226,706,"–","–","–","–","–","–","–","–","–","–","–",3.21,38.700000000000003,114,126]
["W","W40X327","W40X327","T",327,95.9,40.799999999999997,40.75,"–","–",12.1,12.125,"–","–",1.18,1.1875,0.625,2.13,2.125,"–","–","–",3.31,3.375,1.8125,"–","–","–","–","–",2.85,"–",29,"–","–",24500,1410,1200,16,640,170,105,2.58,"–","–","–",103,239000,"–",117,754,"–","–",225,695,"–","–","–","–","–","–","–","–","–","–","–",3.21,38.700000000000003,114,126]
["W","W40X294","W40X294","F",294,86.2,40.4,40.375,"–","–",12,12,"–","–",1.06,1.0625,0.5625,1.93,1.9375,"–","–","–",3.11,3.1875,1.75,"–","–","–","–","–",3.11,"–",32.200000000000003,"–","–",21900,1270,1080,15.9,562,150,93.5,2.5499999999999998,"–","–","–",76.599999999999994,208000,"–",115,668,"–","–",203,622,"–","–","–","–","–","–","–","–","–","–","–",3.16,38.5,113,125]
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["W","W8X48","W8X48","F",48,14.1,8.5,8.5,"–","–",8.11,8.125,"–","–",0.4,0.375,0.1875,0.68500000000000005,0.6875,"–","–","–",1.08,1.375,0.8125,"–","–","–","–","–",5.92,"–",15.9,"–","–",184,49,43.2,3.61,60.9,22.9,15,2.08,"–","–","–",1.96,931,"–",15.8,22,"–","–",10.3,24.2,"–","–","–","–","–","–","–","–","–","–","–",2.35,7.82,39.9,48]
["W","W8X40","W8X40","F",40,11.7,8.25,8.25,"–","–",8.07,8.125,"–","–",0.36,0.375,0.1875,0.56000000000000005,0.5625,"–","–","–",0.95399999999999996,1.25,0.8125,"–","–","–","–","–",7.21,"–",17.600000000000001,"–","–",146,39.799999999999997,35.5,3.53,49.1,18.5,12.2,2.04,"–","–","–",1.1200000000000001,726,"–",15.5,17.5,"–","–",8.3000000000000007,19.7,"–","–","–","–","–","–","–","–","–","–","–",2.31,7.69,39.299999999999997,47.4]
["W","W8X35","W8X35","F",35,10.3,8.1199999999999992,8.125,"–","–",8.02,8,"–","–",0.31,0.3125,0.1875,0.495,0.5,"–","–","–",0.88900000000000001,1.1875,0.8125,"–","–","–","–","–",8.1,"–",20.5,"–","–",127,34.700000000000003,31.2,3.51,42.6,16.100000000000001,10.6,2.0299999999999998,"–","–","–",0.76900000000000002,619,"–",15.3,15.2,"–","–",7.28,17.100000000000001,"–","–","–","–","–","–","–","–","–","–","–",2.2799999999999998,7.63,39,47]
["W","W8X31","W8X31","F",31,9.1300000000000008,8,8,"–","–",8,8,"–","–",0.28499999999999998,0.3125,0.1875,0.435,0.4375,"–","–","–",0.82899999999999996,1.125,0.75,"–","–","–","–","–",9.19,"–",22.3,"–","–",110,30.4,27.5,3.47,37.1,14.1,9.27,2.02,"–","–","–",0.53600000000000003,530,"–",15.1,13.2,"–","–",6.35,15,"–","–","–","–","–","–","–","–","–","–","–",2.2599999999999998,7.57,38.799999999999997,46.8]
["W","W8X28","W8X28","F",28,8.25,8.06,8,"–","–",6.54,6.5,"–","–",0.28499999999999998,0.3125,0.1875,0.46500000000000002,0.4375,"–","–","–",0.85899999999999999,0.9375,0.625,"–","–","–","–","–",7.03,"–",22.3,"–","–",98,27.2,24.3,3.45,21.7,10.1,6.63,1.62,"–","–","–",0.53700000000000003,312,"–",12.4,9.44,"–","–",5.52,13.4,"–","–","–","–","–","–","–","–","–","–","–",1.84,7.6,34.5,41]
["W","W8X24","W8X24","F",24,7.08,7.93,7.875,"–","–",6.5,6.5,"–","–",0.245,0.25,0.125,0.4,0.375,"–","–","–",0.79400000000000004,0.875,0.5625,"–","–","–","–","–",8.1199999999999992,"–",25.9,"–","–",82.7,23.1,20.9,3.42,18.3,8.57,5.63,1.61,"–","–","–",0.34599999999999997,259,"–",12.2,7.95,"–","–",4.71,11.3,"–","–","–","–","–","–","–","–","–","–","–",1.81,7.53,34.200000000000003,40.700000000000003]
["W","W8X21","W8X21","F",21,6.16,8.2799999999999994,8.25,"–","–",5.27,5.25,"–","–",0.25,0.25,0.125,0.4,0.375,"–","–","–",0.7,0.875,0.5625,"–","–","–","–","–",6.59,"–",27.5,"–","–",75.3,20.399999999999999,18.2,3.49,9.77,5.69,3.71,1.26,"–","–","–",0.28199999999999997,152,"–",10.4,5.47,"–","–",3.96,10.1,"–","–","–","–","–","–","–","–","–","–","–",1.46,7.88,31.3,36.6]
["W","W8X18","W8X18","F",18,5.26,8.14,8.125,"–","–",5.25,5.25,"–","–",0.23,0.25,0.125,0.33,0.3125,"–","–","–",0.63,0.8125,0.5625,"–","–","–","–","–",7.95,"–",29.9,"–","–",61.9,17,15.2,3.43,7.97,4.66,3.04,1.23,"–","–","–",0.17199999999999999,122,"–",10.3,4.4400000000000004,"–","–",3.23,8.3699999999999992,"–","–","–","–","–","–","–","–","–","–","–",1.43,7.81,31,36.299999999999997]
["W","W8X15","W8X15","F",15,4.4400000000000004,8.11,8.125,"–","–",4.0149999999999997,4,"–","–",0.245,0.25,0.125,0.315,0.3125,"–","–","–",0.61499999999999999,0.8125,0.5625,"–","–","–","–","–",6.37,"–",28.1,"–","–",48,13.6,11.8,3.29,3.41,2.67,1.7,0.876,"–","–","–",0.13700000000000001,51.8,"–",7.81,2.4700000000000002,"–","–",2.31,6.64,"–","–","–","–","–","–","–","–","–","–","–",1.06,7.8,27.3,31.3]
["W","W8X13","W8X13","F",13,3.84,7.99,8,"–","–",4,4,"–","–",0.23,0.25,0.125,0.255,0.25,"–","–","–",0.55500000000000005,0.75,0.5625,"–","–","–","–","–",7.84,"–",29.9,"–","–",39.6,11.4,9.91,3.21,2.73,2.15,1.37,0.84299999999999997,"–","–","–",8.7099999999999997E-2,40.799999999999997,"–",7.74,1.97,"–","–",1.86,5.55,"–","–","–","–","–","–","–","–","–","–","–",1.03,7.74,27,31]
["W","W8X10","W8X10","F",10,2.96,7.89,7.875,"–","–",3.94,4,"–","–",0.17,0.1875,0.125,0.20499999999999999,0.1875,"–","–","–",0.505,0.6875,0.5,"–","–","–","–","–",9.61,"–",40.5,"–","–",30.8,8.8699999999999992,7.81,3.22,2.09,1.66,1.06,0.84099999999999997,"–","–","–",4.2599999999999999E-2,30.9,"–",7.57,1.53,"–","–",1.48,4.29,"–","–","–","–","–","–","–","–","–","–","–",1.01,7.69,26.8,30.7]
["W","W6X25","W6X25","F",25,7.34,6.38,6.375,"–","–",6.08,6.125,"–","–",0.32,0.3125,0.1875,0.45500000000000002,0.4375,"–","–","–",0.70499999999999996,0.9375,0.5625,"–","–","–","–","–",6.68,"–",15.5,"–","–",53.4,18.899999999999999,16.7,2.7,17.100000000000001,8.56,5.61,1.52,"–","–","–",0.46100000000000002,150,"–",9.01,6.23,"–","–",3.88,9.39,"–","–","–","–","–","–","–","–","–","–","–",1.74,5.93,29.9,36]
["W","W6X20","W6X20","F",20,5.87,6.2,6.25,"–","–",6.02,6,"–","–",0.26,0.25,0.125,0.36499999999999999,0.375,"–","–","–",0.61499999999999999,0.875,0.5625,"–","–","–","–","–",8.25,"–",19.100000000000001,"–","–",41.4,15,13.4,2.66,13.3,6.72,4.41,1.5,"–","–","–",0.24,113,"–",8.7799999999999994,4.82,"–","–",3.07,7.38,"–","–","–","–","–","–","–","–","–","–","–",1.7,5.84,29.5,35.5]
["W","W6X15","W6X15","F",15,4.43,5.99,6,"–","–",5.99,6,"–","–",0.23,0.25,0.125,0.26,0.25,"–","–","–",0.51,0.75,0.5625,"–","–","–","–","–",11.5,"–",21.6,"–","–",29.1,10.8,9.7200000000000006,2.56,9.32,4.75,3.11,1.45,"–","–","–",0.10100000000000001,76.5,"–",8.58,3.34,"–","–",2.15,5.32,"–","–","–","–","–","–","–","–","–","–","–",1.66,5.73,29.1,35.1]
["W","W6X16","W6X16","F",16,4.74,6.28,6.25,"–","–",4.03,4,"–","–",0.26,0.25,0.125,0.40500000000000003,0.375,"–","–","–",0.65500000000000003,0.875,0.5625,"–","–","–","–","–",4.9800000000000004,"–",19.100000000000001,"–","–",32.1,11.7,10.199999999999999,2.6,4.43,3.39,2.2000000000000002,0.96699999999999997,"–","–","–",0.223,38.200000000000003,"–",5.92,2.42,"–","–",2.2400000000000002,5.77,"–","–","–","–","–","–","–","–","–","–","–",1.1299999999999999,5.88,23.7,27.7]
["W","W6X12","W6X12","F",12,3.55,6.03,6,"–","–",4,4,"–","–",0.23,0.25,0.125,0.28000000000000003,0.25,"–","–","–",0.53,0.75,0.5625,"–","–","–","–","–",7.14,"–",21.6,"–","–",22.1,8.3000000000000007,7.31,2.4900000000000002,2.99,2.3199999999999998,1.5,0.91800000000000004,"–","–","–",9.0300000000000005E-2,24.7,"–",5.75,1.61,"–","–",1.52,4.08,"–","–","–","–","–","–","–","–","–","–","–",1.08,5.75,23.2,27.2]
["W","W6X9","W6X9","F",9,2.68,5.9,5.875,"–","–",3.94,4,"–","–",0.17,0.1875,0.125,0.215,0.1875,"–","–","–",0.46500000000000002,0.6875,0.5,"–","–","–","–","–",9.16,"–",29.2,"–","–",16.399999999999999,6.23,5.56,2.4700000000000002,2.2000000000000002,1.72,1.1100000000000001,0.90500000000000003,"–","–","–",4.0500000000000001E-2,17.7,"–",5.6,1.19,"–","–",1.1499999999999999,3.04,"–","–","–","–","–","–","–","–","–","–","–",1.06,5.69,22.9,26.8]
["W","W6X8.5","W6X8.5","F",8.5,2.52,5.83,5.875,"–","–",3.94,4,"–","–",0.17,0.1875,0.125,0.19500000000000001,0.1875,"–","–","–",0.44500000000000001,0.6875,0.5,"–","–","–","–","–",10.1,"–",29.1,"–","–",14.9,5.73,5.0999999999999996,2.4300000000000002,1.99,1.56,1.01,0.89,"–","–","–",3.3300000000000003E-2,15.8,"–",5.55,1.06,"–","–",1.03,2.78,"–","–","–","–","–","–","–","–","–","–","–",1.05,5.64,22.8,26.7]
["W","W5X19","W5X19","F",19,5.56,5.15,5.125,"–","–",5.03,5,"–","–",0.27,0.25,0.125,0.43,0.4375,"–","–","–",0.73,0.8125,0.4375,"–","–","–","–","–",5.85,"–",13.7,"–","–",26.3,11.6,10.199999999999999,2.17,9.1300000000000008,5.53,3.63,1.28,"–","–","–",0.316,50.9,"–",5.94,3.21,"–","–",2.42,5.73,"–","–","–","–","–","–","–","–","–","–","–",1.45,4.72,24.4,29.4]
["W","W5X16","W5X16","F",16,4.71,5.01,5,"–","–",5,5,"–","–",0.24,0.25,0.125,0.36,0.375,"–","–","–",0.66,0.75,0.4375,"–","–","–","–","–",6.94,"–",15.4,"–","–",21.4,9.6300000000000008,8.5500000000000007,2.13,7.51,4.58,3,1.26,"–","–","–",0.192,40.6,"–",5.81,2.62,"–","–",1.99,4.74,"–","–","–","–","–","–","–","–","–","–","–",1.43,4.6500000000000004,24,29]
["W","W4X13","W4X13","F",13,3.83,4.16,4.125,"–","–",4.0599999999999996,4,"–","–",0.28000000000000003,0.25,0.125,0.34499999999999997,0.375,"–","–","–",0.59499999999999997,0.75,0.5,"–","–","–","–","–",5.88,"–",10.6,"–","–",11.3,6.28,5.46,1.72,3.86,2.92,1.9,1,"–","–","–",0.151,14,"–",3.87,1.36,"–","–",1.24,3.09,"–","–","–","–","–","–","–","–","–","–","–",1.1599999999999999,3.82,19.5,23.6]
[]
["AISC 14th Edition  Table 1-5"]
["C-Shapes  Dimensions and Properties"]
[]
["Type","EDI_Std_Nomenclature","AISC_Manual_Label","T_F","W","A","d","ddet","Ht","OD","bf","bfdet","b","ID","tw","twdet","twdet/2","tf","tfdet","t","tnom","tdes","kdes","kdet","k1","x_bar","y","eo","xp","yp","bf/2tf","b/t","h/tw","Ht/t","D/t","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","Iz","rz","Sz","J","Cw","C","Wno","Sw1","Sw2","Sw3","Qf","Qw","ro","H","tan(α)","Qs","Iw","SwA","SwB","SwC","SzA","SzB","SzC","rts","ho","PA","PB"]
[null,null,1,{"$f":"C284+1","v":2},{"$f":"D284+1","v":3},{"$f":"E284+1","v":4},{"$f":"F284+1","v":5},{"$f":"G284+1","v":6},7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68]
["C","C15X50","C15X50","F",50,14.7,15,15,"–","–",3.72,3.75,"–","–",0.71599999999999997,0.6875,0.375,0.65,0.625,"–","–","–",1.44,1.4375,"–",0.79900000000000004,"–",0.58299999999999996,0.49,"–","–",5.72,17.7,"–","–",404,68.5,53.8,5.24,11,8.14,3.77,0.86499999999999999,"–","–","–",2.65,492,"–",17.399999999999999,13.7,11.6,5.86,14,34.1,5.49,0.93700000000000006,"–","–","–","–","–","–","–","–","–",1.17,14.4,"–","–"]
["C","C15X40","C15X40","F",40,11.8,15,15,"–","–",3.52,3.5,"–","–",0.52,0.5,0.25,0.65,0.625,"–","–","–",1.44,1.4375,"–",0.77800000000000002,"–",0.76700000000000002,0.39200000000000002,"–","–",5.42,24.4,"–","–",348,57.5,46.5,5.43,9.17,6.84,3.34,0.88300000000000001,"–","–","–",1.45,410,"–",16,11.7,9.1999999999999993,4.6399999999999997,14,28.6,5.71,0.92700000000000005,"–","–","–","–","–","–","–","–","–",1.1499999999999999,14.4,"–","–"]
["C","C15X33.9","C15X33.9","F",33.9,10,15,15,"–","–",3.4,3.375,"–","–",0.4,0.375,0.1875,0.65,0.625,"–","–","–",1.44,1.4375,"–",0.78800000000000003,"–",0.89600000000000002,0.33200000000000002,"–","–",5.23,31.8,"–","–",315,50.8,42,5.61,8.07,6.19,3.09,0.90100000000000002,"–","–","–",1.01,358,"–",15.1,10.4,7.55,3.81,14,25.2,5.94,0.92,"–","–","–","–","–","–","–","–","–",1.1299999999999999,14.4,"–","–"]
["C","C12X30","C12X30","F",30,8.81,12,12,"–","–",3.17,3.125,"–","–",0.51,0.5,0.25,0.501,0.5,"–","–","–",1.1299999999999999,1.125,"–",0.67400000000000004,"–",0.61799999999999999,0.36699999999999999,"–","–",6.33,20.100000000000001,"–","–",162,33.799999999999997,27,4.29,5.12,4.32,2.0499999999999998,0.76200000000000001,"–","–","–",0.86099999999999999,151,"–",11.7,6.01,4.91,2.4500000000000002,7.66,16.8,4.54,0.91900000000000004,"–","–","–","–","–","–","–","–","–",1.01,11.5,"–","–"]
["C","C12X25","C12X25","F",25,7.34,12,12,"–","–",3.05,3,"–","–",0.38700000000000001,0.375,0.1875,0.501,0.5,"–","–","–",1.1299999999999999,1.125,"–",0.67400000000000004,"–",0.746,0.30599999999999999,"–","–",6.09,26.5,"–","–",144,29.4,24,4.43,4.45,3.82,1.87,0.77900000000000003,"–","–","–",0.53800000000000003,130,"–",11,5.29,4.0199999999999996,1.99,7.67,14.6,4.72,0.90900000000000003,"–","–","–","–","–","–","–","–","–",1,11.5,"–","–"]
["C","C12X20.7","C12X20.7","F",20.7,6.08,12,12,"–","–",2.94,3,"–","–",0.28199999999999997,0.3125,0.1875,0.501,0.5,"–","–","–",1.1299999999999999,1.125,"–",0.69799999999999995,"–",0.87,0.253,"–","–",5.87,36.299999999999997,"–","–",129,25.6,21.5,4.6100000000000003,3.86,3.47,1.72,0.79700000000000004,"–","–","–",0.36899999999999999,112,"–",10.3,4.5999999999999996,3.13,1.58,7.66,12.7,4.93,0.89900000000000002,"–","–","–","–","–","–","–","–","–",0.98299999999999998,11.5,"–","–"]
["C","C10X30","C10X30","F",30,8.81,10,10,"–","–",3.03,3,"–","–",0.67300000000000004,0.6875,0.375,0.436,0.4375,"–","–","–",1,1,"–",0.64900000000000002,"–",0.36799999999999999,0.441,"–","–",6.95,12.6,"–","–",103,26.7,20.7,3.43,3.93,3.78,1.65,0.66800000000000004,"–","–","–",1.22,79.5,"–",9.51,4.12,3.61,1.81,4.91,13.3,3.63,0.92100000000000004,"–","–","–","–","–","–","–","–","–",0.92400000000000004,9.56,"–","–"]
["C","C10X25","C10X25","F",25,7.35,10,10,"–","–",2.89,2.875,"–","–",0.52600000000000002,0.5,0.25,0.436,0.4375,"–","–","–",1,1,"–",0.61699999999999999,"–",0.49399999999999999,0.36699999999999999,"–","–",6.63,16.100000000000001,"–","–",91.1,23.1,18.2,3.52,3.34,3.18,1.47,0.67500000000000004,"–","–","–",0.68700000000000006,68.3,"–",8.94,3.64,3.05,1.5,4.93,11.5,3.76,0.91200000000000003,"–","–","–","–","–","–","–","–","–",0.91100000000000003,9.56,"–","–"]
["C","C10X20","C10X20","F",20,5.87,10,10,"–","–",2.74,2.75,"–","–",0.379,0.375,0.1875,0.436,0.4375,"–","–","–",1,1,"–",0.60599999999999998,"–",0.63600000000000001,0.29399999999999998,"–","–",6.28,22.3,"–","–",78.900000000000006,19.399999999999999,15.8,3.67,2.8,2.7,1.31,0.69,"–","–","–",0.36799999999999999,56.9,"–",8.25,3.1,2.39,1.18,4.92,9.66,3.93,0.9,"–","–","–","–","–","–","–","–","–",0.89400000000000002,9.56,"–","–"]
["C","C10X15.3","C10X15.3","F",15.3,4.4800000000000004,10,10,"–","–",2.6,2.625,"–","–",0.24,0.25,0.125,0.436,0.4375,"–","–","–",1,1,"–",0.63400000000000001,"–",0.79600000000000004,0.224,"–","–",5.96,35.299999999999997,"–","–",67.3,15.9,13.5,3.88,2.27,2.34,1.1499999999999999,0.71099999999999997,"–","–","–",0.20899999999999999,45.5,"–",7.48,2.5499999999999998,1.67,0.84099999999999997,4.92,7.92,4.1900000000000004,0.88400000000000001,"–","–","–","–","–","–","–","–","–",0.86799999999999999,9.56,"–","–"]
["C","C9X20","C9X20","F",20,5.87,9,9,"–","–",2.65,2.625,"–","–",0.44800000000000001,0.4375,0.25,0.41299999999999998,0.4375,"–","–","–",1,1,"–",0.58299999999999996,"–",0.51500000000000001,0.32600000000000001,"–","–",6.42,16.8,"–","–",60.9,16.899999999999999,13.5,3.22,2.41,2.46,1.17,0.64,"–","–","–",0.42699999999999999,39.4,"–",7.24,2.52,2.04,1.01,3.9,8.44,3.46,0.89900000000000002,"–","–","–","–","–","–","–","–","–",0.85,8.59,"–","–"]
["C","C9X15","C9X15","F",15,4.4000000000000004,9,9,"–","–",2.4900000000000002,2.5,"–","–",0.28499999999999998,0.3125,0.1875,0.41299999999999998,0.4375,"–","–","–",1,1,"–",0.58599999999999997,"–",0.68100000000000005,0.245,"–","–",6.03,26.4,"–","–",51,13.6,11.3,3.4,1.91,2.04,1.01,0.65900000000000003,"–","–","–",0.20799999999999999,31,"–",6.54,2.06,1.46,0.70499999999999996,3.91,6.8,3.69,0.88200000000000001,"–","–","–","–","–","–","–","–","–",0.82499999999999996,8.59,"–","–"]
["C","C9X13.4","C9X13.4","F",13.4,3.94,9,9,"–","–",2.4300000000000002,2.375,"–","–",0.23300000000000001,0.25,0.125,0.41299999999999998,0.4375,"–","–","–",1,1,"–",0.60099999999999998,"–",0.74199999999999999,0.219,"–","–",5.88,32.200000000000003,"–","–",47.8,12.6,10.6,3.48,1.75,1.94,0.95399999999999996,0.66600000000000004,"–","–","–",0.16800000000000001,28.2,"–",6.25,1.88,1.22,0.625,3.9,6.25,3.79,0.875,"–","–","–","–","–","–","–","–","–",0.81399999999999995,8.59,"–","–"]
["C","C8X18.75","C8X18.75","F",18.75,5.51,8,8,"–","–",2.5299999999999998,2.5,"–","–",0.48699999999999999,0.5,0.25,0.39,0.375,"–","–","–",0.93799999999999994,0.9375,"–",0.56499999999999995,"–",0.43099999999999999,0.34399999999999997,"–","–",6.49,13.5,"–","–",43.9,13.9,11,2.82,1.97,2.17,1.01,0.59799999999999998,"–","–","–",0.434,25.1,"–",6.13,1.93,1.59,0.78800000000000003,3.03,6.93,3.05,0.89400000000000002,"–","–","–","–","–","–","–","–","–",0.8,7.61,"–","–"]
["C","C8X13.75","C8X13.75","F",13.75,4.03,8,8,"–","–",2.34,2.375,"–","–",0.30299999999999999,0.3125,0.1875,0.39,0.375,"–","–","–",0.93799999999999994,0.9375,"–",0.55400000000000005,"–",0.60399999999999998,0.252,"–","–",6,21.8,"–","–",36.1,11,9.02,2.99,1.52,1.73,0.84799999999999998,0.61299999999999999,"–","–","–",0.186,19.2,"–",5.45,1.52,1.1000000000000001,0.55700000000000005,3.02,5.45,3.26,0.874,"–","–","–","–","–","–","–","–","–",0.77400000000000002,7.61,"–","–"]
["C","C8X11.5","C8X11.5","F",11.5,3.37,8,8,"–","–",2.2599999999999998,2.25,"–","–",0.22,0.25,0.125,0.39,0.375,"–","–","–",0.93799999999999994,0.9375,"–",0.57199999999999995,"–",0.69699999999999995,0.21099999999999999,"–","–",5.79,30,"–","–",32.5,9.6300000000000008,8.14,3.11,1.31,1.57,0.77500000000000002,0.623,"–","–","–",0.13,16.5,"–",5.1100000000000003,1.34,0.85499999999999998,0.43,3.03,4.79,3.41,0.86199999999999999,"–","–","–","–","–","–","–","–","–",0.75600000000000001,7.61,"–","–"]
["C","C7X14.75","C7X14.75","F",14.75,4.33,7,7,"–","–",2.2999999999999998,2.25,"–","–",0.41899999999999998,0.4375,0.25,0.36599999999999999,0.375,"–","–","–",0.875,0.875,"–",0.53200000000000003,"–",0.441,0.309,"–","–",6.28,13.5,"–","–",27.2,9.75,7.78,2.5099999999999998,1.37,1.63,0.77200000000000002,0.56100000000000005,"–","–","–",0.26700000000000002,13.1,"–",4.78,1.26,1,0.498,2.2799999999999998,4.8499999999999996,2.75,0.875,"–","–","–","–","–","–","–","–","–",0.73799999999999999,6.63,"–","–"]
["C","C7X12.25","C7X12.25","F",12.25,3.59,7,7,"–","–",2.19,2.25,"–","–",0.314,0.3125,0.1875,0.36599999999999999,0.375,"–","–","–",0.875,0.875,"–",0.52500000000000002,"–",0.53800000000000003,0.25700000000000001,"–","–",5.98,18,"–","–",24.2,8.4600000000000009,6.92,2.59,1.1599999999999999,1.42,0.69599999999999995,0.56799999999999995,"–","–","–",0.161,11.2,"–",4.4400000000000004,1.0900000000000001,0.79300000000000004,0.40600000000000003,2.2799999999999998,4.2,2.86,0.86199999999999999,"–","–","–","–","–","–","–","–","–",0.72199999999999998,6.63,"–","–"]
["C","C7X9.8","C7X9.8","F",9.8000000000000007,2.87,7,7,"–","–",2.09,2.125,"–","–",0.21,0.1875,0.125,0.36599999999999999,0.375,"–","–","–",0.875,0.875,"–",0.54100000000000004,"–",0.64700000000000002,0.20499999999999999,"–","–",5.71,26.9,"–","–",21.2,7.19,6.07,2.72,0.95699999999999996,1.26,0.61699999999999999,0.57799999999999996,"–","–","–",9.9599999999999994E-2,9.15,"–",4.09,0.92200000000000004,0.57899999999999996,0.28899999999999998,2.2799999999999998,3.57,3.02,0.84499999999999997,"–","–","–","–","–","–","–","–","–",0.69799999999999995,6.63,"–","–"]
["C","C6X13","C6X13","F",13,3.82,6,6,"–","–",2.16,2.125,"–","–",0.437,0.4375,0.25,0.34300000000000003,0.3125,"–","–","–",0.81299999999999994,0.8125,"–",0.51400000000000001,"–",0.38,0.318,"–","–",6.3,11,"–","–",17.3,7.29,5.78,2.13,1.05,1.35,0.63800000000000001,0.52400000000000002,"–","–","–",0.23699999999999999,7.19,"–",3.8,0.875,0.70199999999999996,0.34499999999999997,1.67,3.64,2.37,0.85799999999999998,"–","–","–","–","–","–","–","–","–",0.68899999999999995,5.66,"–","–"]
["C","C6X10.5","C6X10.5","F",10.5,3.07,6,6,"–","–",2.0299999999999998,2,"–","–",0.314,0.3125,0.1875,0.34300000000000003,0.3125,"–","–","–",0.81299999999999994,0.8125,"–",0.5,"–",0.48599999999999999,0.25600000000000001,"–","–",5.92,15.3,"–","–",15.1,6.18,5.04,2.2200000000000002,0.86,1.1399999999999999,0.56100000000000005,0.52900000000000003,"–","–","–",0.128,5.91,"–",3.48,0.73399999999999999,0.53400000000000003,0.27500000000000002,1.66,3.08,2.48,0.84199999999999997,"–","–","–","–","–","–","–","–","–",0.66900000000000004,5.66,"–","–"]
["C","C6X8.2","C6X8.2","F",8.1999999999999993,2.39,6,6,"–","–",1.92,1.875,"–","–",0.2,0.1875,0.125,0.34300000000000003,0.3125,"–","–","–",0.81299999999999994,0.8125,"–",0.51200000000000001,"–",0.59899999999999998,0.19900000000000001,"–","–",5.6,24.1,"–","–",13.1,5.16,4.3499999999999996,2.34,0.68700000000000006,0.98699999999999999,0.48799999999999999,0.53600000000000003,"–","–","–",7.3599999999999999E-2,4.7,"–",3.17,0.61,0.373,0.187,1.67,2.57,2.65,0.82399999999999995,"–","–","–","–","–","–","–","–","–",0.64300000000000002,5.66,"–","–"]
["C","C5X9","C5X9","F",9,2.64,5,5,"–","–",1.89,1.875,"–","–",0.32500000000000001,0.3125,0.1875,0.32,0.3125,"–","–","–",0.75,0.75,"–",0.47799999999999998,"–",0.42699999999999999,0.26400000000000001,"–","–",5.91,11.7,"–","–",8.89,4.3899999999999997,3.56,1.84,0.624,0.91300000000000003,0.44400000000000001,0.48599999999999999,"–","–","–",0.109,2.93,"–",2.66,0.48499999999999999,0.35499999999999998,0.17,1.17,2.19,2.1,0.81499999999999995,"–","–","–","–","–","–","–","–","–",0.61599999999999999,4.68,"–","–"]
["C","C5X6.7","C5X6.7","F",6.7,1.97,5,5,"–","–",1.75,1.75,"–","–",0.19,0.1875,0.125,0.32,0.3125,"–","–","–",0.75,0.75,"–",0.48399999999999999,"–",0.55200000000000005,0.215,"–","–",5.47,20,"–","–",7.48,3.55,2.99,1.95,0.47,0.75700000000000001,0.372,0.48899999999999999,"–","–","–",5.4899999999999997E-2,2.2200000000000002,"–",2.36,0.38,0.224,0.113,1.17,1.76,2.2599999999999998,0.79,"–","–","–","–","–","–","–","–","–",0.58399999999999996,4.68,"–","–"]
["C","C4X7.25","C4X7.25","F",7.25,2.13,4,4,"–","–",1.72,1.75,"–","–",0.32100000000000001,0.3125,0.1875,0.29599999999999999,0.3125,"–","–","–",0.75,0.75,"–",0.45900000000000002,"–",0.38600000000000001,0.26600000000000001,"–","–",5.81,8.9,"–","–",4.58,2.84,2.29,1.47,0.42499999999999999,0.69499999999999995,0.33700000000000002,0.44700000000000001,"–","–","–",8.1699999999999995E-2,1.24,"–",1.88,0.28100000000000003,0.19900000000000001,0.10100000000000001,0.76700000000000002,1.41,1.75,0.76700000000000002,"–","–","–","–","–","–","–","–","–",0.56299999999999994,3.7,"–","–"]
["C","C4X6.25","C4X6.25","F",6.25,1.77,4,4,"–","–",1.65,1.75,"–","–",0.247,0.25,0.125,0.27200000000000002,0.3125,"–","–","–",0.75,0.75,"–",0.435,"–",0.434,0.221,"–","–",6.07,11.7,"–","–",4,2.4300000000000002,2,1.5,0.34499999999999997,0.56899999999999995,0.28399999999999997,0.441,"–","–","–",4.87E-2,1.03,"–",1.81,0.23799999999999999,0.159,8.0500000000000002E-2,0.71099999999999997,1.21,1.79,0.76400000000000001,"–","–","–","–","–","–","–","–","–",0.54600000000000004,3.73,"–","–"]
["C","C4X5.4","C4X5.4","F",5.4,1.58,4,4,"–","–",1.58,1.625,"–","–",0.184,0.1875,0.125,0.29599999999999999,0.3125,"–","–","–",0.75,0.75,"–",0.45700000000000002,"–",0.501,0.23100000000000001,"–","–",5.34,15.5,"–","–",3.85,2.29,1.92,1.56,0.312,0.56499999999999995,0.27700000000000002,0.44400000000000001,"–","–","–",3.9899999999999998E-2,0.92100000000000004,"–",1.66,0.219,0.123,6.3700000000000007E-2,0.76500000000000001,1.1299999999999999,1.88,0.74199999999999999,"–","–","–","–","–","–","–","–","–",0.52800000000000002,3.7,"–","–"]
["C","C4X4.5","C4X4.5","F",4.5,1.38,4,4,"–","–",1.58,1.625,"–","–",0.125,0.125,6.25E-2,0.29599999999999999,0.3125,"–","–","–",0.75,0.75,"–",0.49299999999999999,"–",0.58699999999999997,0.32100000000000001,"–","–",5.34,22.8,"–","–",3.65,2.12,1.83,1.63,0.28899999999999998,0.53100000000000003,0.26500000000000001,0.45700000000000002,"–","–","–",3.2199999999999999E-2,0.871,"–",1.61,0.20599999999999999,9.0800000000000006E-2,4.8099999999999997E-2,0.79800000000000004,1.05,2.0099999999999998,0.71,"–","–","–","–","–","–","–","–","–",0.52400000000000002,3.7,"–","–"]
["C","C3X6","C3X6","F",6,1.76,3,3,"–","–",1.6,1.625,"–","–",0.35599999999999998,0.375,0.1875,0.27300000000000002,0.25,"–","–","–",0.68799999999999994,0.6875,"–",0.45500000000000002,"–",0.32200000000000001,0.29399999999999998,"–","–",5.86,5.38,"–","–",2.0699999999999998,1.74,1.38,1.0900000000000001,0.3,0.54300000000000004,0.26300000000000001,0.41299999999999998,"–","–","–",7.2499999999999995E-2,0.46200000000000002,"–",1.26,0.158,0.112,5.3800000000000001E-2,0.46300000000000002,0.86399999999999999,1.4,0.69,"–","–","–","–","–","–","–","–","–",0.51900000000000002,2.73,"–","–"]
["C","C3X5","C3X5","F",5,1.47,3,3,"–","–",1.5,1.5,"–","–",0.25800000000000001,0.25,0.125,0.27300000000000002,0.25,"–","–","–",0.68799999999999994,0.6875,"–",0.439,"–",0.39200000000000002,0.245,"–","–",5.49,7.42,"–","–",1.85,1.52,1.23,1.1200000000000001,0.24099999999999999,0.46400000000000002,0.22800000000000001,0.40500000000000003,"–","–","–",4.2500000000000003E-2,0.379,"–",1.1599999999999999,0.13500000000000001,8.4000000000000005E-2,4.1200000000000001E-2,0.46200000000000002,0.753,1.45,0.67300000000000004,"–","–","–","–","–","–","–","–","–",0.496,2.73,"–","–"]
["C","C3X4.1","C3X4.1","F",4.0999999999999996,1.2,3,3,"–","–",1.41,1.375,"–","–",0.17,0.1875,0.125,0.27300000000000002,0.25,"–","–","–",0.68799999999999994,0.6875,"–",0.437,"–",0.46100000000000002,0.26200000000000001,"–","–",5.16,11.3,"–","–",1.65,1.32,1.1000000000000001,1.18,0.191,0.39900000000000002,0.19600000000000001,0.39800000000000002,"–","–","–",2.69E-2,0.307,"–",1.06,0.113,5.7500000000000002E-2,2.9000000000000001E-2,0.46200000000000002,0.65300000000000002,1.53,0.65500000000000003,"–","–","–","–","–","–","–","–","–",0.46899999999999997,2.73,"–","–"]
["C","C3X3.5","C3X3.5","F",3.5,1.0900000000000001,3,3,"–","–",1.37,1.375,"–","–",0.13200000000000001,0.125,6.25E-2,0.27300000000000002,0.25,"–","–","–",0.68799999999999994,0.6875,"–",0.443,"–",0.49299999999999999,0.29599999999999999,"–","–",5.0199999999999996,14.5,"–","–",1.57,1.24,1.04,1.2,0.16900000000000001,0.36399999999999999,0.182,0.39400000000000002,"–","–","–",2.2599999999999999E-2,0.27600000000000002,"–",1.02,0.10299999999999999,4.5199999999999997E-2,2.35E-2,0.46100000000000002,0.60899999999999999,1.57,0.64600000000000002,"–","–","–","–","–","–","–","–","–",0.45600000000000002,2.73,"–","–"]
[]
["AISC 14th Edition  Table 1-6"]
["MC-Shapes  Dimensions and Properties"]
[]
["Type","EDI_Std_Nomenclature","AISC_Manual_Label","T_F","W","A","d","ddet","Ht","OD","bf","bfdet","b","ID","tw","twdet","twdet/2","tf","tfdet","t","tnom","tdes","kdes","kdet","k1","x","y","eo","xp","yp","bf/2tf","b/t","h/tw","Ht/t","D/t","Ix","Zx","Sx","rx","Iy","Zy","Sy","ry","Iz","rz","Sz","J","Cw","C","Wno","Sw1","Sw2","Sw3","Qf","Qw","ro","H","tan(α)","Qs","Iw","SwA","SwB","SwC","SzA","SzB","SzC","rts","ho","PA","PB"]
[null,null,1,{"$f":"C322+1","v":2},{"$f":"D322+1","v":3},{"$f":"E322+1","v":4},{"$f":"F322+1","v":5},{"$f":"G322+1","v":6},7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68]
["MC","MC18X58","MC18X58","F",58,17.100000000000001,18,18,"–","–",4.2,4.25,"–","–",0.7,0.6875,0.375,0.625,0.625,"–","–","–",1.44,1.4375,"–",0.86199999999999999,"–",0.69499999999999995,0.47399999999999998,"–","–",6.72,22.1,"–","–",675,95.4,75,6.29,17.600000000000001,10.7,5.28,1.02,"–","–","–",2.81,1070,"–",24.4,21.4,18.399999999999999,9.2799999999999994,19,47.4,6.56,0.94399999999999995,"–","–","–","–","–","–","–","–","–",1.35,17.399999999999999,"–","–"]
["MC","MC18X51.9","MC18X51.9","F",51.9,15.3,18,18,"–","–",4.0999999999999996,4.125,"–","–",0.6,0.625,0.3125,0.625,0.625,"–","–","–",1.44,1.4375,"–",0.85799999999999998,"–",0.79700000000000004,0.42399999999999999,"–","–",6.56,25.8,"–","–",627,87.3,69.599999999999994,6.41,16.3,9.86,5.0199999999999996,1.03,"–","–","–",2.0299999999999998,985,"–",23.5,19.899999999999999,16.600000000000001,8.31,19,43.3,6.7,0.93899999999999995,"–","–","–","–","–","–","–","–","–",1.35,17.399999999999999,"–","–"]
["MC","MC18X45.8","MC18X45.8","F",45.8,13.5,18,18,"–","–",4,4,"–","–",0.5,0.5,0.25,0.625,0.625,"–","–","–",1.44,1.4375,"–",0.86599999999999999,"–",0.90900000000000003,0.374,"–","–",6.4,31,"–","–",578,79.2,64.2,6.55,14.9,9.14,4.7699999999999996,1.05,"–","–","–",1.45,897,"–",22.5,18.3,14.6,7.33,19,39.299999999999997,6.87,0.93300000000000005,"–","–","–","–","–","–","–","–","–",1.34,17.399999999999999,"–","–"]
["MC","MC18X42.7","MC18X42.7","F",42.7,12.6,18,18,"–","–",3.95,4,"–","–",0.45,0.4375,0.25,0.625,0.625,"–","–","–",1.44,1.4375,"–",0.877,"–",0.96899999999999997,0.34899999999999998,"–","–",6.32,34.4,"–","–",554,75.099999999999994,61.5,6.64,14.3,8.82,4.6399999999999997,1.07,"–","–","–",1.23,852,"–",22,17.399999999999999,13.5,6.83,19,37.200000000000003,6.97,0.93,"–","–","–","–","–","–","–","–","–",1.34,17.399999999999999,"–","–"]
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["MC","MC6X6.5","MC6X6.5","F",6.5,1.95,6,6,"–","–",1.85,1.875,"–","–",0.155,0.125,6.25E-2,0.29099999999999998,0.3125,"–","–","–",0.75,0.75,"–",0.51300000000000001,"–",0.61199999999999999,0.191,"–","–",6.36,30.1,"–","–",11,4.28,3.66,2.38,0.56499999999999995,0.83599999999999997,0.42199999999999999,0.53900000000000003,"–","–","–",4.1200000000000001E-2,3.75,"–",3.09,0.48699999999999999,0.28999999999999998,0.14599999999999999,1.41,2.11,2.68,0.82399999999999995,"–","–","–","–","–","–","–","–","–",0.63100000000000001,5.71,"–","–"]
["MC","MC4X13.8","MC4X13.8","F",13.8,4.03,4,4,"–","–",2.5,2.5,"–","–",0.5,0.5,0.25,0.5,0.5,"–","–","–",1,1,"–",0.84899999999999998,"–",0.64300000000000002,0.50800000000000001,"–","–",5,4.4800000000000004,"–","–",8.85,5.53,4.43,1.48,2.13,2.4,1.29,0.72699999999999998,"–","–","–",0.373,4.84,"–",2.37,0.80600000000000005,0.45700000000000002,0.22700000000000001,1.75,2.75,2.23,0.55000000000000004,"–","–","–","–","–","–","–","–","–",0.85099999999999998,3.5,"–","–"]
["MC","MC3X7.1","MC3X7.1","F",7.1,2.11,3,3,"–","–",1.94,2,"–","–",0.312,0.3125,0.1875,0.35099999999999998,0.375,"–","–","–",0.81299999999999994,0.8125,"–",0.65300000000000002,"–",0.57399999999999995,0.41399999999999998,"–","–",5.53,4.93,"–","–",2.72,2.2400000000000002,1.81,1.1399999999999999,0.66600000000000004,0.998,0.51800000000000002,0.56200000000000006,"–","–","–",9.2799999999999994E-2,0.91500000000000004,"–",1.4,0.25800000000000001,0.13400000000000001,6.59E-2,0.75700000000000001,1.1100000000000001,1.76,0.51600000000000001,"–","–","–","–","–","–","–","–","–",0.65700000000000003,2.65,"–","–"]
[]
["AISC 14th Edition  Table 1-19",null,null,"Fy",{"$f":"Fy","v":50},"ksi"]
["W-Shapes with Cap Channels  Properties",null,null,"Es",29000,"ksi"]
[null,null,null,"Wt.","A","Ix","S1","S2","rx","y1","y2","Zx","yp","Iy","Sy","ry","Zy","Iyc","St","Zt","rT top","d / Af top","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdes","J","Zy","h/tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf"]
[null,null,null,4,{"$f":"D367+1","v":5},{"$f":"E367+1","v":6},7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Additional Properties Calculations for TABLE 1 and TABLE 2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Flange slenderness",null,null,null,null,null,"Channel web as cover plate"]
[null,null,null,"Total","Total","Axis X-X",null,null,null,null,null,null,null,"Axis Y-Y",null,null,null," Top",null,null," Composite",null,"Max. Length",null," Composite",null,null,null,null,null,"W-Shape",null,null,null,null,null,null,null,null,null,null,null,"Channel",null,null,null,null,null,null,null,null,null,null,"Web slenderness",null,null,null,null,null,null,null,null,null,null,null,"Comact Limits",null,null,"Noncompact Limits",null,null,"width-to-thickness ratios"]
["Section Name","W-Shape","Channel","Wt.","Area","I","S1","S2","r","y1","y2","Z","yp","I","S1","r","Z","Itop","Stop","Ztop","rT","d / Af","Fy","Fy","hp","hc","J","dcf","h0","hc/tw","d","tw","bf","tf","kdes","J","Zy","h/tw","h","hc","h/hc","Iyc/Iy","A","d","tw","Ix","Zx","J","x_bar","h/tw","bf","tf",null,"Sxt/Sxc","Mp","My","lrw","lpw","lw","Web","Myt","lpw","lw","Web",null,"lpf_wf","lpf_chf","lpf_chw","lrf_wf","lrf_chf","lrf_chw","lf_wf","lf_chf","lf_chw","Flanges"]
[null,null,null,"lb/ft","in.2","in.4","in.3","in.3","in.","in.","in.","in.3","in.","in.4","in.3","in.","in.3","in.4","in.3","in.3","in.","in.-1",36,50,"in.","in.","in.3","in.","in.",null,"in.","in.","in.","in.","in.","in.3","in.3",null,"in.","in.",null,null,"in.2","in.","in.","in.4","in.3","in.3","in.",null,"in.","in.",null,null,"k*in","k*in","CFY","CFY","CFY","CFY","k*in","TFY","TFY","TFY"]
["W36x150 MC18x42.7","W36x150","MC18x42.7",193,56.8,12000,553,831,14.6,21.8,14.5,738,28,824,91.5,3.81,146,{"$f":"(AT372+((AH372*(AG372^3))/12))","v":689.36},{"$f":"R372/(AR372/2)","v":76.595555555555563},{"$f":"(AH372*(AG372^2)/4)+AU372","v":108.94},{"$f":"SQRT(((((K372-(AH372+AF372))/3)*(AF372^3)/12)+(AH372*(AG372^3)/12)+AT372)/((((K372-(AH372+AS372))/3)*AF372)+(AG372*AH372)+AQ372))","v":5.0900029344786288},{"$f":"(AE372+AS372)/(AQ372+(AG372*AH372))","v":1.5221943048576216},{"$f":"MAX(U372*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V372)/12)","v":30.414183096438943},{"$f":"MAX(U372*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V372)/12)","v":21.898211829436036},{"$f":"2*(AE372+AS372-M372-AS372-AH372)","v":13.920000000000002},{"$f":"2*(K372-AS372-AI372)","v":24.720000000000002},{"$f":"AV372+AJ372","v":11.33},{"$f":"((AG372*AH372)*(AS372 + AH372/2) + AQ372 * AW372)/ ((AG372*AH372) + AQ372)","v":0.89731155778894467},{"$f":"(AE372+AS372)-AB372-AH372/2","v":34.982688442211057},{"$f":"Z372/AF372","v":39.552000000000007},{"$f":"VLOOKUP($B372,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":35.9},0.625,12,0.94,1.69,10.1,70.900000000000006,51.9,{"$f":"AE372-(2*AI372)","v":32.519999999999996},{"$f":"2*(K372-(AI372+AS372))","v":24.72},{"$f":"AM372/AN372","v":1.3155339805825241},{"$f":"R372/N372","v":0.83660194174757285},{"$f":"VLOOKUP($C372,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":12.6},18,0.45,554,75.099999999999994,1.23,{"$f":"VLOOKUP($C372,CMCdatabase,HLOOKUP(AW$370,CMCcolumns,2,FALSE),FALSE)","v":0.877},34.4,3.95,0.625,null,{"$f":"G372/H372","v":0.66546329723225028},{"$f":"MIN(L372*Fy, 1.6*H372*Fy)","v":36900},{"$f":"MIN(G372,H372)*Fy","v":27650},{"$f":"5.7*SQRT(Es/Fy)","v":137.27417819823216},{"$f":" MIN((Z372/Y372)*SQRT(Es/Fy)/(0.54*BC372/BD372-0.09)^2,BE372)","v":107.53381607348368},{"$f":"Z372/AF372","v":39.552000000000007},{"$f":"IF(BG372<=BF372,\"Compact\",IF(BG372<=BE372,\"Noncompact\",\"Slender\"))","v":"Compact"},{"$f":"G372*Fy","v":27650},{"$f":" MIN((AC372/AB372)*SQRT(Es/Fy)/(0.54*BF372/BG372-0.09)^2,BH372)","v":494.34604943681762},{"$f":"AC372/AI372","v":20.699815646278733},{"$f":"IF(BK372<=BJ372,\"Compact\",IF(BK372<=BH372,\"Noncompact\",\"Slender\"))","v":"Compact"},null,{"$f":"0.38*SQRT(Es/Fy)","v":9.1516118798821449},9.1516118798821449,{"$f":"1.12*SQRT(Es/Fy)","v":26.973171856494744},{"$f":"1*SQRT(Es/Fy)","v":24.083189157584592},24.083189157584592,{"$f":"1.4*SQRT(Es/Fy)","v":33.716464820618427},{"$f":"AG372/2/AH372","v":6.3829787234042561},{"$f":"AY372/2/AZ372","v":3.16},{"$f":"AG372/AS372","v":26.666666666666664},{"$f":"IF(AND(BT372<=BN372,BU372<=BO372,BV372<=BP372),\"Compact\",IF(AND(BT372<=BQ372,BU372<=BR372,BV372<=BS372),\"NonCompact\",\"Slender\"))","v":"Compact"}]
["W36x150 C15x33.9","W36x150","C15x33.9",184,54.2,11500,546,764,14.6,21.1,15.1,716,25.9,584,77.900000000000006,3.28,122,450.36,60.048000000000002,84.639999999999986,4.319122930847394,1.7058270676691727,{"$f":"MAX(U373*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V373)/12)","v":27.140087746148357},{"$f":"MAX(U373*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V373)/12)","v":19.540863177226814},18.119999999999997,26.02,11.11,0.8314661654135338,34.998533834586468,{"$f":"Z373/AF373","v":41.631999999999998},35.9,0.625,12,0.94,1.69,10.1,70.900000000000006,51.9,{"$f":"AE373-(2*AI373)","v":32.519999999999996},{"$f":"2*(K373-(AI373+AS373))","v":26.02},{"$f":"AM373/AN373","v":1.2498078401229822},0.77116438356164385,10,15,0.4,315,50.8,1.01,0.78800000000000003,{"$f":"VLOOKUP($C373,CMCdatabase,HLOOKUP(AX$370,CMCcolumns,2,FALSE),FALSE)","v":31.8},3.4,0.65,null,{"$f":"G373/H373","v":0.71465968586387429},35800,27300,137.27417819823216,90.51088820300221,{"$f":"Z373/AF373","v":41.631999999999998},{"$f":"IF(BG373<=BF373,\"Compact\",IF(BG373<=BE373,\"Noncompact\",\"Slender\"))","v":"Compact"},27300,862.70517480689466,20.709191618098501,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.3829787234042561,2.6153846153846154,30,"NonCompact"]
["W33x141 MC18x42.7","W33x141","MC18x42.7",184,54.1,10000,490,750,13.6,20.399999999999999,13.3,652,27,800,88.9,3.85,142,675.67,75.074444444444438,106.83999999999999,5.0943435981391945,1.4276649746192893,32.427983539094654,23.348148148148152,10.68,22.380000000000003,10.93,0.90175126903553293,32.368248730964467,36.991735537190088,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,9.6999999999999993,66.900000000000006,49.6,29.979999999999997,22.380000000000003,1.3395889186773902,0.84458749999999994,12.6,18,0.45,554,75.099999999999994,1.23,0.877,34.4,3.95,0.625,null,0.65333333333333332,32600,24500,137.27417819823216,127.74677852376787,36.991735537190088,"Compact",24500,274.43115608735246,19.498945018653295,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.9895833333333339,3.16,25.555555555555554,"Compact"]
["W33x141 C15x33.9","W33x141","C15x33.9",175,51.5,9580,484,689,13.6,19.8,13.9,635,24.9,561,74.8,3.3,118,436.67,58.222666666666669,82.539999999999992,4.3047184271512089,1.6017110266159695,28.904275195076384,20.811078140454995,14.879999999999994,23.68,10.709999999999999,0.83627376425855504,32.383726235741442,39.140495867768593,33.299999999999997,0.60499999999999998,11.5,0.96,1.66,9.6999999999999993,66.900000000000006,49.6,29.979999999999997,23.68,1.2660472972972971,0.77837789661319079,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.7024673439767779,31750,24200,137.27417819823216,100.19682921732124,39.140495867768593,"Compact",24200,558.37347677668663,19.508268816711713,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.9895833333333339,2.6153846153846154,28.75,"NonCompact"]
["W33x118 MC18x42.7","W33x118","MC18x42.7",161,47.2,8280,400,656,13.2,20.7,12.6,544,27.8,741,82.3,3.96,126,647.78729166666665,71.976365740740732,99.566249999999997,5.2841188992993668,1.5798199905258172,29.304792048420236,21.099450274862566,8.7200000000000006,21.42,6.5299999999999994,0.85402179062055905,32.125978209379447,38.945454545454545,32.9,0.55000000000000004,11.5,0.74,1.44,5.3,51.3,54.5,30.02,21.419999999999998,1.4014939309056957,0.87420687134502917,12.6,18,0.45,554,75.099999999999994,1.23,0.877,34.4,3.95,0.625,null,0.6097560975609756,27200,20000,137.27417819823216,137.27417819823216,38.945454545454545,"Compact",20000,275.50092522924894,22.309707089846839,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.7702702702702702,3.16,25.555555555555554,"Compact"]
["W33x118 C15x33.9","W33x118","C15x33.9",152,44.6,7900,395,596,13.3,20,13.3,529,25.5,502,66.900000000000006,3.35,102,408.78729166666665,54.504972222222221,75.266249999999999,4.439977599495796,1.7990275526742301,25.734067400734073,18.528528528528529,13.319999999999993,22.92,6.31,0.77972447325769867,32.150275526742298,41.672727272727272,32.9,0.55000000000000004,11.5,0.74,1.44,5.3,51.3,54.5,30.02,22.92,1.3097731239092494,0.81431731407702523,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.66275167785234901,26450,19750,137.27417819823216,103.36094327709242,41.672727272727272,"Compact",19750,636.18034039261374,22.326580226904376,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.7702702702702702,2.6153846153846154,28.75,"NonCompact"]
["W30x116 MC18x42.7","W30x116","MC18x42.7",159,46.8,6900,365,598,12.1,18.899999999999999,11.5,492,26.1,718,79.8,3.92,124,635.99843750000002,70.666493055555563,98.528124999999989,5.2084787237838608,1.4146341463414636,32.726692209450832,23.563218390804593,6.0999999999999952,19.100000000000001,7.66,0.87617073170731707,29.148829268292683,33.80530973451328,30,0.56499999999999995,10.5,0.85,1.5,6.43,49.2,47.8,27,19.100000000000001,1.413612565445026,0.88579169568245131,12.6,18,0.45,554,75.099999999999994,1.23,0.877,34.4,3.95,0.625,null,0.61036789297658867,24600,18250,137.27417819823216,137.27417819823216,33.80530973451328,"Compact",18250,181.19792005842007,19.432552845528456,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.1764705882352944,3.16,23.333333333333332,"Compact"]
["W30x116 C15x33.9","W30x116","C15x33.9",150,44.1,6590,360,544,12.2,18.3,12.1,480,23.8,479,63.8,3.29,100,396.99843750000002,52.933125000000004,74.228124999999991,4.3515187441336733,1.6063408190224573,28.820967348927876,20.751096491228065,10.699999999999996,20.399999999999999,7.4399999999999995,0.80544914134742407,29.169550858652574,36.10619469026549,30,0.56499999999999995,10.5,0.85,1.5,6.43,49.2,47.8,27,20.399999999999999,1.3235294117647061,0.82880675887265143,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.66176470588235292,24000,18000,137.27417819823216,115.68559580080338,36.10619469026549,"Compact",18000,324.20708924252239,19.446367239101715,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.1764705882352944,2.6153846153846154,26.25,"Compact"]
["W30x99 MC18x42.7","W30x99","MC18x42.7",142,41.6,5830,304,533,11.8,19.2,10.9,412,26.4,682,75.8,4.05,114,618.63406250000003,68.737118055555555,93.566874999999996,5.3855834833544778,1.5355233002291826,30.150175050672562,21.708126036484245,5.26,18.260000000000002,5,0.84403743315508029,28.970962566844918,35.11538461538462,29.7,0.52,10.5,0.67,1.32,3.77,38.6,51.9,27.06,18.260000000000002,1.4819277108433733,0.9070880681818182,12.6,18,0.45,554,75.099999999999994,1.23,0.877,34.4,3.95,0.625,null,0.57035647279549717,20600,15200,137.27417819823216,137.27417819823216,35.11538461538462,"Compact",15200,202.38995766456767,21.947698914276451,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.8358208955223878,3.16,23.333333333333332,"Compact"]
["W30x99 C15x33.9","W30x99","C15x33.9",133,39,5550,300,481,11.9,18.5,11.5,408,24.4,442,59,3.37,89.4,379.63406250000003,50.617875000000005,69.266874999999999,4.4888193798801623,1.7669503962430289,26.201242771010214,18.864894795127356,9.259999999999998,19.559999999999999,4.78,0.76611241561491061,28.998887584385088,37.615384615384613,29.7,0.52,10.5,0.67,1.32,3.77,38.6,51.9,27.06,19.559999999999999,1.3834355828220859,0.85890059389140283,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.62370062370062374,20400,15000,137.27417819823216,122.50696960211124,37.615384615384613,"Compact",15000,327.37990812169926,21.968854230594761,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.8358208955223878,2.6153846153846154,26.25,"Compact"]
["W27x94 C15x33.9","W27x94","C15x33.9",128,37.6,4530,268,435,11,16.899999999999999,10.4,357,23.6,439,58.5,3.41,89.6,377.08333333333331,50.277777777777779,{"$f":"(AH382*(AG382^2)/4)+AU382","v":69.424999999999997},4.4596199842641298,1.5644699140401146,29.592321258987926,21.306471306471305,5.1099999999999914,17.32,5.04,{"$f":"((AG382*AH382)*(AS382 + AH382/2) + AQ382 * AW382)/ ((AG382*AH382) + AQ382)","v":0.78138252148997145},{"$f":"(AE382+AS382)-AB382-AH382/2","v":26.146117478510028},35.346938775510203,{"$f":"VLOOKUP($B382,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":26.9},0.49,10,0.745,1.34,4.03,38.799999999999997,49.5,24.22,17.32,1.3983833718244802,0.85895975702353833,{"$f":"VLOOKUP($C382,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":10},15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.61609195402298855,17850,13400,137.27417819823216,137.27417819823216,35.346938775510203,"Compact",13400,200.02999122292451,19.512027969037334,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.7114093959731544,2.6153846153846154,25,{"$f":"IF(AND(BT382<=BN382,BU382<=BO382,BV382<=BP382),\"Compact\",IF(AND(BT382<=BQ382,BU382<=BR382,BV382<=BS382),\"NonCompact\",\"Slender\"))","v":"Compact"}]
["W27x84 C15x33.9","W27x84","C15x33.9",118,34.700000000000003,4050,237,403,10.8,17.100000000000001,10,316,23.9,420,56,3.48,83.9,368.33333333333331,49.111111111111107,66.8,4.5524348435327457,1.6524390243902438,28.016946836135034,20.172201722017221,4.3199999999999985,16.72,3.8200000000000003,{"$f":"((AG383*AH383)*(AS383 + AH383/2) + AQ383 * AW383)/ ((AG383*AH383) + AQ383)","v":0.76146341463414635},{"$f":"(AE383+AS383)-AB383-AH383/2","v":26.018536585365851},36.347826086956516,26.7,0.46,10,0.64,1.24,2.81,33.200000000000003,52.7,24.22,16.72,1.4485645933014355,0.87698412698412698,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.58808933002481389,15800,11850,137.27417819823216,137.27417819823216,36.347826086956516,"Compact",11850,216.5420397647666,20.98269079464988,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.8125,2.6153846153846154,25,"Compact"]
["W24x84 C15x33.9","W24x84","C15x33.9",118,34.700000000000003,3340,217,367,9.82,15.4,9.1,286,21.6,409,54.5,3.43,83.4,362.09004351333334,48.278672468444448,66.461877000000001,4.4620270448569643,1.4458201045711521,32.020786092214671,23.05496598639456,3.4599999999999973,14.86,4.71,0.78677039196478116,23.328229608035219,31.617021276595747,24.1,0.47,9.02,0.77,1.27,3.7,32.6,45.9,21.560000000000002,14.86,1.4508748317631226,0.88530572986145073,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.59128065395095364,14300,10850,137.27417819823216,137.27417819823216,31.617021276595747,"Compact",10850,140.48292178780383,18.368684730736394,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.8571428571428568,2.6153846153846154,22.549999999999997,"Compact"]
["W24x84 C12x20.7","W24x84","C12x20.7",105,30.8,3030,211,302,9.92,14.3,10,275,18.5,223,37.200000000000003,2.69,58.2,176.09004351333334,29.348340585555558,41.261876999999998,3.4938698520615032,1.8718810938627604,24.732498473372896,17.807398900828481,9.6600000000000037,16.896000000000001,4.069,0.68147018901530843,23.315529810984692,35.948936170212768,24.1,0.47,9.02,0.77,1.27,3.7,32.6,45.9,21.560000000000002,16.896000000000001,1.2760416666666667,0.78964145073243652,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.69867549668874174,13750,10550,137.27417819823216,111.80959518049876,35.948936170212768,"Compact",10550,326.11969145508442,18.358684890539127,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,5.8571428571428568,2.9341317365269459,31.98581560283688,"NonCompact"]
["W24x68 C15x33.9","W24x68","C15x33.9",102,30,2710,173,321,9.51,15.7,8.4600000000000009,232,21.7,385,51.3,3.58,75.3,350.18454580874999,46.6912727745,62.567406624999997,4.6377846234311155,1.580592164591456,29.290475641616727,21.089142461964041,2.8299999999999974,13.940000000000001,2.88,0.75513342394957839,23.052366576050421,33.590361445783138,23.7,0.41499999999999998,8.9700000000000006,0.58499999999999996,1.0900000000000001,1.87,24.5,52,21.52,13.940000000000001,1.5437589670014344,0.90957024885389604,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.5389408099688473,11600,8650,137.27417819823216,137.27417819823216,33.590361445783138,"Compact",8650,164.07251110057834,21.148960161514147,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.6666666666666679,2.6153846153846154,22.425000000000001,"Compact"]
["W24x68 C12x20.7","W24x68","C12x20.7",88.7,26.1,2440,168,258,9.67,14.5,9.49,224,19.2,199,32.299999999999997,2.76,50,164.18454580875002,27.364090968125002,37.367406625000001,3.6214383078337522,2.1171578775452553,21.867191288528122,15.744377727740249,7.83,16.236000000000001,2.2389999999999999,0.64078852919236018,23.048711470807639,39.122891566265061,23.7,0.41499999999999998,8.9700000000000006,0.58499999999999996,1.0900000000000001,1.87,24.5,52,21.52,16.236000000000001,1.3254496181325448,0.82504796888819099,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.65116279069767447,11200,8400,137.27417819823216,125.82014416406055,39.122891566265061,"Compact",8400,319.47866674757546,21.145606853951961,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,7.6666666666666679,2.9341317365269459,31.808510638297879,{"$f":"IF(AND(BT387<=BN387,BU387<=BO387,BV387<=BP387),\"Compact\",IF(AND(BT387<=BQ387,BU387<=BR387,BV387<=BS387),\"NonCompact\",\"Slender\"))","v":"NonCompact"}]
["W21x68 C15x33.9","W21x68","C15x33.9",102,30,2180,156,287,8.52,13.9,7.59,207,19.3,379,50.6,3.56,75.099999999999994,347.28686323791669,46.304915098388889,62.512284124999994,4.5743981352132383,1.3724908154829731,{"$f":"MAX(U388*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V388)/12)","v":33.731589147286826},{"$f":"MAX(U388*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V388)/12)","v":24.286744186046509},2.2299999999999986,12,3.46,0.77154573586254671,20.385954264137453,27.906976744186046,21.1,0.43,8.27,0.68500000000000005,1.19,2.4500000000000002,24.4,43.6,18.720000000000002,12,1.5600000000000003,0.91632417740875116,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.54355400696864109,10350,7800,137.27417819823216,137.27417819823216,27.906976744186046,"Compact",7800,96.623692919530185,17.131054003476851,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.0364963503649625,2.6153846153846154,20.674999999999997,{"$f":"IF(AND(BT388<=BN388,BU388<=BO388,BV388<=BP388),\"Compact\",IF(AND(BT388<=BQ388,BU388<=BR388,BV388<=BS388),\"NonCompact\",\"Slender\"))","v":"Compact"}]
["W21x68 C12x20.7","W21x68","C12x20.7",88.7,26.1,1970,152,232,8.67,12.9,8.49,200,17.600000000000001,194,32.299999999999997,2.72,50,161.28686323791666,26.881143872986112,37.312284125000005,3.5466834437253616,1.8205271201665398,{"$f":"MAX(U389*SQRT(102000/$W$371)/12,12000/(0.6*$W$371*V389)/12)","v":25.430160190121843},{"$f":"MAX(U389*SQRT(102000/$X$371)/12,12000/(0.6*$X$371*V389)/12)","v":18.309715336887724},5.63,14.036000000000001,2.819,0.66254869326817056,20.376951306731829,32.641860465116281,21.1,0.43,8.27,0.68500000000000005,1.19,2.4500000000000002,24.4,43.6,18.720000000000002,14.036000000000001,1.3337133086349389,0.83137558370060138,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.65517241379310343,10000,7600,137.27417819823216,137.27417819823216,32.641860465116281,"Compact",7600,155.71975123871866,17.123488493051958,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.0364963503649625,2.9341317365269459,29.326241134751776,"NonCompact"]
["W21x62 C15x33.9","W21x62","C15x33.9",95.9,28.2,2000,142,272,8.41,14.1,7.33,189,19.399999999999999,372,49.6,3.63,72.5,343.67315647999999,45.823087530666662,61.239255999999997,4.6478303642400736,1.4202660012211634,32.596919349255799,23.469781931464173,1.9700000000000002,11.62,2.84,0.76092589397117005,20.331574106028828,29.049999999999997,21,0.4,8.24,0.61499999999999999,1.1200000000000001,1.83,21.7,46.9,18.759999999999998,11.620000000000001,1.6144578313253009,0.92385257118279562,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.5220588235294118,9450,7100,137.27417819823216,137.27417819823216,29.049999999999997,"Compact",7100,106.18377483419098,18.153191166097166,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.6991869918699187,2.6153846153846154,20.599999999999998,"Compact"]
["W21x62 C12x20.7","W21x62","C12x20.7",82.7,24.3,1800,138,218,8.59,13,8.26,183,18.100000000000001,186,31.1,2.77,47.3,157.67315647999999,26.278859413333333,36.039256000000002,3.605605046286632,1.9091104811798054,24.250192303006894,17.460138458164959,4.5699999999999967,13.715999999999999,2.1989999999999998,0.64867686318131246,20.325823136818688,34.29,21,0.4,8.24,0.61499999999999999,1.1200000000000001,1.83,21.7,46.9,18.759999999999998,13.715999999999999,1.3677456984543599,0.84770514236559136,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.6330275229357798,9150,6900,137.27417819823216,137.27417819823216,34.29,"Compact",6900,175.80809895636347,18.148056372159541,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.6991869918699187,2.9341317365269459,29.219858156028373,"NonCompact"]
["W18x50 C15x33.9","W18x50","C15x33.9",83.9,24.6,1250,100,211,7.12,12.5,5.92,133,16.899999999999999,354,47.3,3.79,67.3,335.0390625,44.671875,58.815624999999997,4.7482259971354814,1.2889667250437828,35.91737117552335,25.860507246376809,1.0600000000000003,9.0960000000000001,2.25,0.75715411558669021,17.357845884413308,25.622535211267607,{"$f":"VLOOKUP($B392,Wdatabase,HLOOKUP(AE$370,Wcolumns,2,FALSE),FALSE)","v":18},0.35499999999999998,7.5,0.56999999999999995,0.97199999999999998,1.24,16.600000000000001,45.2,16.056000000000001,9.0960000000000001,1.7651715039577838,0.94643802966101698,{"$f":"VLOOKUP($C392,CMCdatabase,HLOOKUP(AQ$370,CMCcolumns,2,FALSE),FALSE)","v":10},15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.47393364928909953,6650,5000,137.27417819823216,137.27417819823216,25.622535211267607,"Compact",5000,70.267484452154918,17.857866136227685,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.5789473684210531,2.6153846153846154,18.75,"Compact"]
["W18x50 C12x20.7","W18x50","C12x20.7",70.7,20.7,1120,97.3,166,7.35,11.5,6.76,127,16.100000000000001,169,28.2,2.85,42.2,149.0390625,24.83984375,33.615625000000001,3.671966103541584,1.7655239014968613,26.222412654422282,18.880137111184045,2.6599999999999975,11.012,1.609,0.64391743119266043,17.353082568807338,31.019718309859158,18,0.35499999999999998,7.5,0.56999999999999995,0.97199999999999998,1.24,16.600000000000001,45.2,16.056000000000001,11.012,1.4580457682528152,0.88188794378698221,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.58614457831325295,6350,4865,137.27417819823216,137.27417819823216,31.019718309859158,"Compact",4865,122.71996188846023,17.852965605768865,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,6.5789473684210531,2.9341317365269459,26.595744680851066,"Compact"]
["W16x36 C15x33.9","W16x36","C15x33.9",69.900000000000006,20.5,748,64.5,160,6.04,11.6,4.67,86.8,15.2,339,45.2,4.0599999999999996,61.6,327.23823354749999,43.631764472999997,56.052460749999995,4.944840413434247,1.2532966314769678,36.939615996364466,26.596523517382412,0.54000000000000281,6.8759999999999994,1.5550000000000002,0.74801859953712602,15.336981400462875,23.308474576271184,15.9,0.29499999999999998,6.99,0.43,0.83199999999999996,0.54500000000000004,10.8,48.1,14.236000000000001,6.8759999999999994,2.0703897614892384,0.96530452373893805,10,15,0.4,315,50.8,1.01,0.78800000000000003,31.8,3.4,0.65,null,0.40312500000000001,4340,3225,137.27417819823216,137.27417819823216,23.308474576271184,"Compact",3225,51.705748096078942,18.433871875556342,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.1279069767441872,2.6153846153846154,17.474999999999998,"Compact"]
["W16x36 C12x20.7","W16x36","C12x20.7",56.7,16.600000000000001,670,62.8,123,6.34,10.7,5.47,83.2,14.6,153,25.6,3.04,36.4,141.23823354749999,23.539705591249998,30.852460750000002,3.8450190505576893,1.7810405362272581,25.993959909730524,18.715651135005974,1.739999999999998,8.7119999999999997,0.91400000000000003,0.63150587186457841,15.335494128135421,29.53220338983051,15.9,0.29499999999999998,6.99,0.43,0.83199999999999996,0.54500000000000004,10.8,48.1,14.236000000000001,8.7119999999999997,1.6340679522497705,0.92312570946078421,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.51056910569105685,4160,3140,137.27417819823216,137.27417819823216,29.53220338983051,"Compact",3140,99.856558861657518,18.432084288624306,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.1279069767441872,2.9341317365269459,24.787234042553195,"Compact"]
["W14x30 C12x20.7","W14x30","C12x20.7",50.7,14.9,447,46.7,98.1,5.47,9.57,4.55,62,12.9,149,24.8,3.16,34.6,138.77968071208335,23.129946785347226,29.959441625000004,3.9223874189361223,1.6240247720864254,28.507136770345124,20.52513847464849,1.0300000000000007,6.9659999999999993,0.749,0.63121458473887226,13.258285415261128,25.799999999999997,13.8,0.27,6.73,0.38500000000000001,0.78500000000000003,0.38,8.99,45.4,12.23,6.9659999999999993,1.7556703990812521,0.93140725310123051,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.47604485219164122,3100,2335,137.27417819823216,137.27417819823216,25.799999999999997,"Compact",2335,65.304272844890789,16.889535560842202,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.7402597402597397,2.9341317365269459,23.86524822695036,"Compact"]
["W14x30 C10x15.3","W14x30","C10x15.3",45.3,13.3,420,46,84.5,5.61,9.11,4.97,60.3,12.6,86.8,17.399999999999999,2.5499999999999998,24.9,77.079680712083331,15.415936142416665,20.259441625000001,3.2140014428172301,1.9855608431562497,23.316483328057405,16.787867996201332,1.6300000000000026,7.8899999999999988,0.58899999999999997,0.56016420828589808,13.287335791714103,29.222222222222214,13.8,0.27,6.73,0.38500000000000001,0.78500000000000003,0.38,8.99,45.4,12.23,7.89,1.5500633713561471,0.8880147547475038,4.4800000000000004,10,0.24,67.3,15.9,0.20899999999999999,0.63400000000000001,35.299999999999997,2.6,0.436,null,0.54437869822485208,3015,2300,137.27417819823216,137.27417819823216,29.222222222222214,"Compact",2300,95.427722521352919,16.926542409826883,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.7402597402597397,2.9816513761467891,28.041666666666668,"NonCompact"]
["W12x26 C12x20.7","W12x26","C12x20.7",46.7,13.7,318,36.799999999999997,82.1,4.8099999999999996,8.6300000000000008,3.87,48.2,11.6,146,24.4,3.27,33.700000000000003,137.65638255166667,22.942730425277777,29.601409500000003,3.9568761058287438,1.4605321663429358,31.698238055392366,22.8227313998825,0.43999999999999928,5.8159999999999998,0.66900000000000004,0.63278257003112481,11.659217429968875,25.286956521739128,12.2,0.23,6.49,0.38,0.68,0.3,8.17,47.2,10.84,5.8160000000000007,1.8638239339752405,0.94285193528538813,6.08,12,0.28199999999999997,129,25.6,0.36899999999999999,0.69799999999999995,36.299999999999997,2.94,0.501,null,0.44823386114494518,2410,1839.9999999999998,137.27417819823216,137.27417819823216,25.286956521739128,"Compact",1839.9999999999998,54.959340081600864,17.145907985248343,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.5394736842105257,2.9341317365269459,23.014184397163124,"Compact"]
["W12x26 C10x15.3","W12x26","C10x15.3",41.3,12.1,299,36.299999999999997,70.5,4.96,8.2200000000000006,4.24,47,11.3,84.5,16.899999999999999,2.64,24.1,75.956382551666664,15.191276510333333,19.9014095,3.2426852130650134,1.7909072586450141,25.850750267952847,18.612540192926051,1.0399999999999976,6.64,0.50900000000000001,0.56157121879588834,11.688428781204111,28.869565217391301,12.2,0.23,6.49,0.38,0.68,0.3,8.17,47.2,10.84,6.6400000000000006,1.6325301204819276,0.89889210120315577,4.4800000000000004,10,0.24,67.3,15.9,0.20899999999999999,0.63400000000000001,35.299999999999997,2.6,0.436,null,0.51489361702127656,2350,1814.9999999999998,137.27417819823216,137.27417819823216,28.869565217391301,"Compact",1814.9999999999998,81.652937216921899,17.188865854711928,"Compact",null,9.1516118798821449,9.1516118798821449,26.973171856494744,24.083189157584592,24.083189157584592,33.716464820618427,8.5394736842105257,2.9816513761467891,27.041666666666668,"NonCompact"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"All WF flagnes are compact"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"All CH flanges are compact"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Some channel webs are noncompact (treated as cover plate extending between WF flange tips)"]

{"sheet":"Deflection","index":15,"n_rows":110,"n_cols":10,"rows_kept":110,"cut":false,"hidden":true,"merged":[]}
[]
[null,null,null,"P",10]
[null,null,null,"EI",29000,null,null,null,"Point at which single point load at center has an equal defelction at the beam center to two point loads on the beam"]
[]
[null,"L",30]
[null,"a",{"$f":"B9*C5","v":5.2067313175992593},null,"Single",{"$f":"(C5*12)^3/48","v":972000},null,null,"a/L <",{"$f":"B9","v":0.17355771058664199}]
[null,"a/L",null,null,"Double",{"$f":"(C6*12)/24*(3*(C5*12)^2-4*(C6*12)^2)","v":971535.99967053591},null,null,"Spacing/L >",{"$f":"1-2*J6","v":0.65288457882671602}]
[]
[null,0.17355771058664199,{"$f":"8*B9^3-6*B9+1","v":4.7736659409858273E-4}]
[null,0,{"$f":"8*B10^3-6*B10+1","v":1}]
[null,{"$f":"B10+0.005","v":5.0000000000000001E-3},0.970001]
[null,{"$f":"B11+0.005","v":0.01},0.94000799999999995]
[null,1.4999999999999999E-2,0.91002700000000003]
[null,0.02,0.88006399999999996]
[null,2.5000000000000001E-2,0.85012500000000002]
[null,3.0000000000000002E-2,0.82021599999999995]
[null,3.5000000000000003E-2,0.79034300000000002]
[null,0.04,0.76051200000000008]
[null,4.4999999999999998E-2,0.73072899999999996]
[null,4.9999999999999996E-2,0.70100000000000007]
[null,5.4999999999999993E-2,0.67133100000000012]
[null,5.9999999999999991E-2,0.64172800000000008]
[null,6.4999999999999988E-2,0.6121970000000001]
[null,6.9999999999999993E-2,0.58274400000000015]
[null,7.4999999999999997E-2,0.55337500000000006]
[null,0.08,0.52409600000000001]
[null,8.5000000000000006E-2,0.49491300000000005]
[null,9.0000000000000011E-2,0.46583199999999991]
[null,9.5000000000000015E-2,0.43685899999999989]
[null,0.10000000000000002,0.40799999999999992]
[null,0.10500000000000002,0.37926099999999985]
[null,0.11000000000000003,0.35064799999999985]
[null,0.11500000000000003,0.32216699999999987]
[null,0.12000000000000004,0.29382399999999986]
[null,0.12500000000000003,0.26562499999999978]
[null,0.13000000000000003,0.23757599999999979]
[null,0.13500000000000004,0.20968299999999973]
[null,0.14000000000000004,0.18195199999999967]
[null,0.14500000000000005,0.15438899999999967]
[null,0.15000000000000005,0.12699999999999967]
[null,0.15500000000000005,9.979099999999963E-2]
[null,0.16000000000000006,7.2767999999999611E-2]
[null,0.16500000000000006,4.5936999999999562E-2]
[null,0.17000000000000007,1.9303999999999544E-2]
[null,0.17500000000000007,-7.1250000000004921E-3]
[null,0.18000000000000008,-3.3344000000000484E-2]
[null,0.18500000000000008,-5.9347000000000483E-2]
[null,0.19000000000000009,-8.5128000000000537E-2]
[null,0.19500000000000009,-0.11068100000000047]
[null,0.20000000000000009,-0.13600000000000056]
[null,0.2050000000000001,-0.16107900000000064]
[null,0.2100000000000001,-0.18591200000000052]
[null,0.21500000000000011,-0.21049300000000049]
[null,0.22000000000000011,-0.23481600000000058]
[null,0.22500000000000012,-0.25887500000000063]
[null,0.23000000000000012,-0.28266400000000069]
[null,0.23500000000000013,-0.30617700000000059]
[null,0.24000000000000013,-0.32940800000000059]
[null,0.24500000000000013,-0.35235100000000075]
[null,0.25000000000000011,-0.37500000000000044]
[null,0.25500000000000012,-0.39734900000000062]
[null,0.26000000000000012,-0.41939200000000043]
[null,0.26500000000000012,-0.4411230000000006]
[null,0.27000000000000013,-0.4625360000000005]
[null,0.27500000000000013,-0.48362500000000064]
[null,0.28000000000000014,-0.50438400000000061]
[null,0.28500000000000014,-0.52480700000000047]
[null,0.29000000000000015,-0.54488800000000048]
[null,0.29500000000000015,-0.56462100000000071]
[null,0.30000000000000016,-0.58400000000000052]
[null,0.30500000000000016,-0.60301900000000064]
[null,0.31000000000000016,-0.62167200000000067]
[null,0.31500000000000017,-0.63995300000000066]
[null,0.32000000000000017,{"$f":"8*B74^3-6*B74+1","v":-0.65785600000000066}]
[null,0.32500000000000018,-0.67537500000000072]
[null,{"$f":"B75+0.005","v":0.33000000000000018},-0.69250400000000067]
[null,0.33500000000000019,-0.70923700000000056]
[null,0.34000000000000019,-0.72556800000000043]
[null,0.3450000000000002,-0.74149100000000057]
[null,0.3500000000000002,-0.75700000000000078]
[null,0.3550000000000002,-0.77208900000000069]
[null,0.36000000000000021,-0.78675200000000034]
[null,0.36500000000000021,-0.80098300000000067]
[null,0.37000000000000022,-0.81477600000000083]
[null,0.37500000000000022,-0.82812500000000044]
[null,0.38000000000000023,-0.84102400000000044]
[null,0.38500000000000023,-0.85346700000000064]
[null,0.39000000000000024,-0.86544800000000066]
[null,0.39500000000000024,-0.87696100000000055]
[null,0.40000000000000024,-0.88800000000000034]
[null,0.40500000000000025,-0.89855900000000055]
[null,0.41000000000000025,-0.90863200000000077]
[null,0.41500000000000026,-0.91821300000000061]
[null,0.42000000000000026,-0.92729600000000012]
[null,0.42500000000000027,-0.93587500000000046]
[null,0.43000000000000027,-0.94394400000000056]
[null,0.43500000000000028,-0.95149700000000048]
[null,0.44000000000000028,-0.95852800000000027]
[null,0.44500000000000028,-0.96503100000000019]
[null,0.45000000000000029,-0.97100000000000053]
[null,0.45500000000000029,-0.97642900000000044]
[null,0.4600000000000003,-0.98131199999999996]
[null,0.4650000000000003,-0.98564300000000027]
[null,0.47000000000000031,-0.9894160000000003]
[null,0.47500000000000031,-0.99262500000000031]
[null,0.48000000000000032,-0.99526399999999993]
[null,0.48500000000000032,-0.99732700000000007]
[null,0.49000000000000032,-0.99880800000000036]
[null,0.49500000000000033,-0.99970099999999995]
[null,0.50000000000000033,-0.99999999999999978]