CFVR8683 - AISC15: Chapter H Design of Members for Combined Forces and Torsion.
Compression check according to AISC/ASD15 - ASTM A992 W-shape.
A W-shape column is subjected to combined tension and flexure.
The unbraced length is 30 ft and the ends are pinned. Assume the connections are made with no holes.
The aim of the example is to obtain the axial and flexural strengths criteria according to AISC15 (LRFD/ASD). REFERENCE: Volume 1: Design Examples Version 15.1 EXAMPLE H.3 W-SHAPE SUBJECT TO COMBINED AXIAL TENSION AND FLEXURE
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
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| 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: CFVR8683.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR8683' /TITLE, %NomFile%, AISC15: Compression Check !-------------------------------------------------------------------------------------- ! Model definition !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,IN ~UNITS,,TIME,S ~UNITS,,FORC,KIPS! in, sec, Kips ~CODESEL,AISC15 ! Parameters P = 174 ! Axial force kips M1 = 192*12 ! kip-in M2 = 67.6*12 ! kip-in Fyy = 50 ! ksi Fuu = 65 ! ksi /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 ! ASTM A992 ~CFMP,1,NAME,,,ASTM A992 ~CFMP,1,USER ~CFMP,1,AISC15 ,Fy,,Fyy ,1,0,0 ~CFMP,1,AISC15 ,Fu,,Fuu ,1,0,0 ! Element Types ET,1,188 ! Type 1: 3D Beam ! Cross Section ~SSECLIB,1,1,51,188 !W 14x82 ! member property: effective length = 30 ft Cb=1.41 ~MEMBPRO,1,AISC15,ALL,30.00*12,1.00,1.00,1.00,1.41,30.00*12, ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Nodes N,1 N,2,,2 ! Elements SECNUM,1 REAL,1 E,1,2 /SOLU ! Solution ! -------------------------------------------------- ! Constrains D,1,ALL ! Apply Load F,2,FY,P F,ALL,MZ,M1 F,ALL,MX,M2 ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1 ! First load case ! Checking ~CHKSTL,BEND_AXL,Z,LRFD ~CHKSTL,BEND_AXL,Z,ASD !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 10 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) = 'FIPNG' LABEL(2 ,1) = 'FIPNE' LABEL(3 ,1) = 'CRT_AXL' LABEL(4 ,1) = 'MN_YLD_Z' LABEL(5 ,1) = 'MN_LTB_Z' LABEL(6 ,1) = 'CRT_BDZ ' LABEL(7 ,1) = 'MN_YLD_Y' LABEL(8 ,1) = 'CRT_BDY' LABEL(9 ,1) = 'CRT_LRFD' LABEL(10,1) = 'CRT_ASD' ! Correct values VALUE(1 ,1)=1085 ! available tensile yielding strength VALUE(2 ,1)=1175 ! available tensile rupture strength VALUE(3 ,1)=0.161 ! 174/(1200*0.9) CRT_AXL VALUE(4 ,1)=6950 ! nominal flexural strength due to yielding MN_YLD_Z VALUE(5 ,1)=6560 ! nominal flexural strength due to lateral-torsional buckling MN_LTB_Z VALUE(6 ,1)=0.39 ! 192*12/(6560*0.90) CRT_BDZ VALUE(7 ,1)=2240 ! nominal flexural strength due to yielding MN_YLD_Y VALUE(8 ,1)=0.40 ! 67.6*12/(2240*0.90) CRT_BDY VALUE(9 ,1)=0.873 ! LRFD CRITERION H1-1a/H1-1b VALUE(10,1)=1.30 ! ASD CRITERION H1-1a/H1-1b ! Comparison ~CFSET,1 ! LRFD ~CFGET,VALUE(1,2),ELEMENT,1,RESULT,FIPNG,I ~CFGET,VALUE(2,2),ELEMENT,1,RESULT,FIPNE,I ~CFGET,VALUE(3,2),ELEMENT,1,RESULT,CRT_AXL,I ~CFGET,VALUE(4,2),ELEMENT,1,RESULT,MN_YLD_Z,I ~CFGET,VALUE(5,2),ELEMENT,1,RESULT,MN_LTB_Z,I ~CFGET,VALUE(6,2),ELEMENT,1,RESULT,CRT_BDZ,I ~CFGET,VALUE(7,2),ELEMENT,1,RESULT,MN_YLD_Y,I ~CFGET,VALUE(8,2),ELEMENT,1,RESULT,CRT_BDY,I ~CFGET,VALUE(9,2),ELEMENT,1,RESULT,CRT_TOT,I ~CFSET,2 ! ASD ~CFGET,VALUE(10,2),ELEMENT,1,RESULT,CRT_TOT,I ! Warning and error tolerances *DO,JJ,1,10 TOLER(JJ,1)= 0.04*VALUE(JJ,1) $ TOLER(JJ,2)= 0.04*VALUE(JJ,1) *ENDDO !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| FIPNG | 1085 | 1084.5 | 1.000 | 43.4 |
| FIPNE | 1175 | 1174.9 | 1.000 | 47 |
| CRT_AXL | 0.161 | 0.16044 | 1.004 | 0.00644 |
| MN_YLD_Z | 6950 | 6950 | 1.000 | 278 |
| MN_LTB_Z | 6560 | 6545 | 1.002 | 262.4 |
| CRT_BDZ | 0.39 | 0.39114 | 0.997 | 0.0156 |
| MN_YLD_Y | 2240 | 2240 | 1.000 | 89.6 |
| CRT_BDY | 0.4 | 0.40238 | 0.994 | 0.016 |
| CRT_LRFD | 0.873 | 0.87374 | 0.999 | 0.03492 |
| CRT_ASD | 1.3 | 1.3013 | 0.999 | 0.052 |
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