CFVR8715 - AISC-LRFD 14: Flexure and Axial Compression Checking W Shape
Combined flexure and axial compression checking according to AISC-LRFD 14 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-LRFD 14.
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: CFVR8715.DAT
! DESCRIPTION FINISH ~CFCLEAR,,1 NomFile='CFVR8715' /TITLE, %NomFile%, AISC-LRFD 14: 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,AISC14 /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,AISC14,ALL,168.0,1.000,1.000,1.140,1.000,168.0, ! 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,Z,LRFD !------------------------------------------------------------------------------------- ! DATA CHECK !------------------------------------------------------------------------------------- ! Data comparison number NComp = 13 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) = 'FCR' LABEL(3,1) = 'CRT_AXL' LABEL(4,1) = 'CLS_COMP_14' LABEL(5,1) = 'CLS_BEND' LABEL(6,1) = 'CRT_YLDZ' LABEL(7,1) = 'CRT_LTBZ' LABEL(8,1) = 'MPZ' LABEL(9,1) = 'CRT_BDZ' LABEL(10,1) = 'CRT_YLDY' LABEL(11,1) = 'MPY' LABEL(12,1) = 'CRT_BDY' LABEL(13,1) = 'CRT_TOT' ! Correct values VALUE(1,1) = 280.58 VALUE(2,1) = 28.9 VALUE(3,1) = 0.079 VALUE(4,1) = 1 VALUE(5,1) = 1 VALUE(6,1) = 0.412 VALUE(7,1) = 0.5 VALUE(8,1) = 1940 VALUE(9,1) = 0.5 VALUE(10,1) = 0.152 VALUE(11,1) = 700 VALUE(12,1) = 0.152 VALUE(13,1) = 0.692 ! Comparison ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,PN,J ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,FCR,J ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,CRT_AXL,J ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,CLS_COMP_14,J ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,CLS_BEND,J ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_YLDZ,J ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,CRT_LTBZ,J ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,MPZ,J ~CFGET,VALUE(9,2),ELEMENT,1,RESULT,CRT_BDZ,J ~CFGET,VALUE(10,2),ELEMENT,1,RESULT,CRT_YLDY,J ~CFGET,VALUE(11,2),ELEMENT,1,RESULT,MPY,J ~CFGET,VALUE(12,2),ELEMENT,1,RESULT,CRT_BDY,J ~CFGET,VALUE(13,2),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)= 0.005*VALUE(2,1) $ TOLER(2,2)= 0.005*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) TOLER(8,1)= 0.005*VALUE(8,1) $ TOLER(8,2)= 0.005*VALUE(8,1) TOLER(9,1)= 0.005*VALUE(9,1) $ TOLER(9,2)= 0.005*VALUE(9,1) TOLER(10,1)= 0.005*VALUE(10,1) $ TOLER(10,2)= 0.005*VALUE(10,1) TOLER(11,1)= 0.005*VALUE(11,1) $ TOLER(11,2)= 0.005*VALUE(11,1) TOLER(12,1)= 0.005*VALUE(12,1) $ TOLER(12,2)= 0.005*VALUE(12,1) TOLER(13,1)= 0.005*VALUE(13,1) $ TOLER(13,2)= 0.005*VALUE(13,1) !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| PN | 280.58 | 280.58 | 1.000 | 1.403 |
| FCR | 28.9 | 28.896 | 1.000 | 0.1445 |
| CRT_AXL | 0.079 | 0.079201 | 0.998 | 0.000395 |
| CLS_COMP | 1 | 1 | 1.000 | 0.005 |
| CLS_BEND | 1 | 1 | 1.000 | 0.005 |
| CRT_YLDZ | 0.412 | 0.41237 | 0.999 | 0.00206 |
| CRT_LTBZ | 0.5 | 0.50065 | 0.999 | 0.0025 |
| MPZ | 1940 | 1940 | 1.000 | 9.7 |
| CRT_BDZ | 0.5 | 0.50065 | 0.999 | 0.0025 |
| CRT_YLDY | 0.152 | 0.15238 | 0.998 | 0.00076 |
| MPY | 700 | 700 | 1.000 | 3.5 |
| CRT_BDY | 0.152 | 0.15238 | 0.998 | 0.00076 |
| CRT_TOT | 0.692 | 0.69263 | 0.999 | 0.00346 |
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