CFVR8857 - AASHTO10: Flexure and Axial Compression Checking W Shape
Combined flexure and axial compression checking according to AASHTO12 W-shape cross section.
A cantilever steel beam is subjected to a axial compressive force of 30 kips, Mux of 1080 kip-in., and Muy of 144 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 AASHTO12.
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: CFVR8857.DAT
! DESCRIPTION FINISH ~CFCLEAR,,1 NomFile='CFVR8857' /TITLE, %NomFile%, AASHTO12: 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,AASHTO12 /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,AASHTO12,ALL,168.0,1.000,1.000,1.000,1.140,168.0,1.000,1.000,0.000, ! Nodes N,1,0.,0. N,2,168.,0. ! Elements E,1,2 /SOLU D,1,ALL !Loads F,2,FX,-30 F,2,MY,144 F,2,MZ,-1080 SOLVE /POST1 ~CFSET,,1,1 ~CHKSTL,BEND_AXL !------------------------------------------------------------------------------------- ! DATA CHECK !------------------------------------------------------------------------------------- ! Data comparison number NComp = 7 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' LABEL(7,1) = 'CRT_TOT' ! Correct values VALUE(1,1) = 280.56 VALUE(2,1) = 0.12 VALUE(3,1) = 1940 VALUE(4,1) = 0.614 VALUE(5,1) = 700 VALUE(6,1) = 0.205 VALUE(7,1) = 0.88 ! Comparison ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,PN,J ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,CRT_AXL,J ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,MPZ,J ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,CRT_LTBZ,J ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,MPY,J ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_BDY,J ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_TOT,J ! Warning and error tolerances TOLER(1,1)= 0.005*VALUE(1,1) $ TOLER(1,2)= 0.005*VALUE(1,1) TOLER(2,1)= 0.02*VALUE(2,1) $ TOLER(2,2)= 0.02*VALUE(2,1) TOLER(3,1)= 0.005*VALUE(3,1) $ TOLER(3,2)= 0.005*VALUE(3,1) TOLER(4,1)= 0.005*VALUE(4,1) $ TOLER(4,2)= 0.005*VALUE(4,1) TOLER(5,1)= 0.005*VALUE(5,1) $ TOLER(5,2)= 0.005*VALUE(5,1) TOLER(6,1)= 0.005*VALUE(6,1) $ TOLER(6,2)= 0.005*VALUE(6,1) TOLER(7,1)= 0.005*VALUE(7,1) $ TOLER(7,2)= 0.005*VALUE(7,1) !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| PN | 280.56 | 280.58 | 1.000 | 1.403 |
| CRT_AXL | 0.12 | 0.1188 | 1.010 | 0.0024 |
| MPZ | 1940 | 1940 | 1.000 | 9.7 |
| CRT_LTBZ | 0.614 | 0.61491 | 0.999 | 0.00307 |
| MPY | 700 | 700 | 1.000 | 3.5 |
| CRT_BDY | 0.205 | 0.20571 | 0.997 | 0.001025 |
| CRT_TOT | 0.88 | 0.88002 | 1.000 | 0.0044 |
Contains proprietary and confidential information of Ingeciber, S.A.