CFVR2301 - Steel Checking according to LRFD
Compression Flexural Buckling Checking according to LRFD 2nd Edition
A steel fixed-free column of 21 feet with W12x72 section is subjected to an axial compression force of 418 kips on its free end.
Determine the equivalent slenderness parameter, critical stress, nominal axial strength, total criterion and section classification according to LRFD.
Element types used in the model: BEAM3 Needed CivilFEM Modules: |
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| Model Statistics | |
| Number of elements | 20 |
| Number of nodes | 21 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR2301.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR2301' /TITLE, %NomFile%, LRFD: Compression Flexural Buckling Checking !------------------------------------------------------------------ ! Model definition !------------------------------------------------------------------ ! CivilFEM Setup: Code & Units ~UNITS,,LENG,FT ~UNITS,,TIME,S ~UNITS,,FORC,KIPS ! ft, sec, Kips ~CODESEL,LRFD,EC2,,,EC8-94 ! Steel LRFD /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,ASTM,A36 !Steel A36 ! Element Types ET,1,BEAM3 ! Type 1: 2D Beam ! Cross Section ~SSECLIB,1,1,51,215 ! W 12x72 ! Beam & Shell Property ~BMSHPRO,1,BEAM,1,1,,,3,1,0,,Beam 1 ! Member property ~MEMBPRO,1,LRFD,ALL,21.0,1.8,1.8,1.0,1.0,0.0, ~MEMBPRO,1,NLMOD,ALL,0 ~MEMBPRO,1,NAME,Member Property 1 ! Nodes N,1 N,21,,21 FILL,1,21,19,,,1,1,1 ! Elements REAL,1 E,1,2 EGEN,20,1,1,1 /SOLU ! Solution ! -------------------------------------------------- ! Constraints D, 1,ALL ! Apply Load F,21,FY,-418 ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1,1 ! First load step ! Compression Flexural Buckling checking ~CHKSTL,COMPFBK !------------------------------------------------------------------ ! DATA CHECK !------------------------------------------------------------------ ! Data comparison number NComp = 5 NComp_ch = 0 ! Matrix 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) = 'LAMBDA ' LABEL(2,1) = 'FCR ' LABEL(3,1) = 'PN ' LABEL(4,1) = 'CRT_TOT ' LABEL(5,1) = 'CLS_COMP' ! Correct values VALUE(1,1)=958.0339E-03 VALUE(2,1)=3.530486E+03 VALUE(3,1)=517.30585E+00 VALUE(4,1)=950.6266E-03 VALUE(5,1)=2.0E+00 ! Comparison ~CFGET,value( 1,2),ELEMENT,10,RESULT,LAMBDA ,J ~CFGET,value( 2,2),ELEMENT,10,RESULT,FCR ,J ~CFGET,value( 3,2),ELEMENT,10,RESULT,PN ,J ~CFGET,value( 4,2),ELEMENT,10,RESULT,CRT_TOT ,J ~CFGET,value( 5,2),ELEMENT,10,RESULT,CLS_COMP,J ! Warning and error tolerances TOLER( 1, 1)= 1E-03 $ TOLER( 1, 2)= 1E-03 TOLER( 2, 1)= 1E-01 $ TOLER( 2, 2)= 1E-01 TOLER( 3, 1)= 1E-03 $ TOLER( 3, 2)= 1E-03 TOLER( 4, 1)= 1E-03 $ TOLER( 4, 2)= 1E-03 TOLER( 5, 1)= 1E-03 $ TOLER( 5, 2)= 1E-03 !------------------------------------------------------------------ ! Results comparison !------------------------------------------------------------------ COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| LAMBDA | 0.95803 | 0.95803 | 1.000 | 0.001 |
| FCR | 3530.5 | 3530.4 | 1.000 | 0.1 |
| PN | 517.31 | 517.31 | 1.000 | 0.001 |
| CRT_TOT | 0.95063 | 0.95063 | 1.000 | 0.001 |
| CLS_COMP | 2 | 2 | 1.000 | 0.001 |
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