CFVR7715 - AISC-ASD13: Flexure and Axial Compression Checking W Shape
Combined flexure and axial compression checking according to AISC-ASD13 W-shape cross section.
A cantilever steel beam is subjected to a axial compressive force of 20 kips, Mux of 720 kip-in., and Muy of 96 kip-in.
The beam has a length of 168 in.
Section material properties: ASTM A992, Fy = 50 ksi , Fu = 65 ksi
Geometric properties: W 10x33 The aim of the example is to obtain the flexure plus compression criterion according to AISC-ASD13.
Reference: AISC, Design Examples, Version 13.0 Example H.4, W Shape Subjected to Combined Axial Compression and Flexure
Element types used in the model: BEAM4 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 1 |
| Number of nodes | 2 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR7715.DAT
! DESCRIPTION FINISH ~CFCLEAR,,1 NomFile='CFVR7715' /TITLE, %NomFile%, AISC-ASD13: Flexure and Axial Compression Checking, W Shape !------------------------------------------------------------------------------- ! Model definition !------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,IN ~UNITS,,TIME,S ~UNITS,,FORC,KIPS ~UNITS,,PRES,,0 ,ksi ~CODESEL,ASD13 /PREP7 ! Materials ~CFMP,1,LIB,STEEL,ASTM,A572Gr50 ! Properties similar to ASTM A992 ! Element Types ET,1,BEAM4 ! Type 1: 3D Beam ! Cross Section ~SSECLIB,1,1,51,239 !W 10x33 ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,, 4,1,0,,Beam 1 !Member Properties ~MEMBPRO,1,ASD13,ALL,168.0,1.000,1.000,1.140,1.000 ! Nodes N,1,0.,0. N,2,168.,0. ! Elements E,1,2 /SOLU D,1,ALL !Loads F,2,FX,-20 F,2,MY,96 F,2,MZ,-720 SOLVE /POST1 ~CFSET,,1,1 ~CHKSTL,BEND_AXL !------------------------------------------------------------------------------------- ! DATA CHECK !------------------------------------------------------------------------------------- ! Data comparison number NComp = 6 NComp_ch = 0 ! Marix dim. *DIM,LABEL,CHAR,Ncomp,1 *DIM,LABEL_CH,CHAR,Ncomp_ch,1 *DIM,VALUE,,Ncomp,3 *DIM,VALUE_CH,CHAR,Ncomp_ch,3 *DIM,TOLER,,Ncomp,2 ! Labels LABEL(1,1) = 'PN' LABEL(2,1) = 'CRT_AXL' LABEL(3,1) = 'MPZ' LABEL(4,1) = 'CRT_LTBZ' LABEL(5,1) = 'MPY' LABEL(6,1) = 'CRT_BDY' ! Correct values VALUE(1,1) = 280.56 VALUE(2,1) = 20/(280.56/1.67) VALUE(3,1) = 1940 VALUE(4,1) = 720/(1820/1.67) VALUE(5,1) = 700 VALUE(6,1) = 96/(700/1.67) ! Comparison ~PLLSSTL,PN *GET,VALUE(1,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_AXL *GET,VALUE(2,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MPZ *GET,VALUE(3,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_LTBZ *GET,VALUE(4,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MPY *GET,VALUE(5,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_BDY *GET,VALUE(6,2),ELEM,1,ETAB,CFETAB_J ! Warning and error tolerances TOLER(1,1)= 0.01*VALUE(1,1) $ TOLER(1,2)= 0.01*VALUE(1,1) TOLER(2,1)= 0.01*VALUE(2,1) $ TOLER(2,2)= 0.01*VALUE(2,1) TOLER(3,1)= 0.01*VALUE(3,1) $ TOLER(3,2)= 0.01*VALUE(3,1) TOLER(4,1)= 0.01*VALUE(4,1) $ TOLER(4,2)= 0.01*VALUE(4,1) TOLER(5,1)= 0.01*VALUE(5,1) $ TOLER(5,2)= 0.01*VALUE(5,1) TOLER(6,1)= 0.01*VALUE(6,1) $ TOLER(6,2)= 0.01*VALUE(6,1) !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| PN | 280.56 | 280.58 | 1.000 | 2.806 |
| CRT_AXL | 0.11905 | 0.11904 | 1.000 | 0.00119 |
| MPZ | 1940 | 1940 | 1.000 | 19.4 |
| CRT_LTBZ | 0.66066 | 0.66007 | 1.001 | 0.006607 |
| MPY | 700 | 700 | 1.000 | 7 |
| CRT_BDY | 0.22903 | 0.22903 | 1.000 | 0.00229 |
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