CFVR1015 - EC3-05 test: Lateral buckling.
Lateral buckling checking according to EN 1993-1-1:2005.
A pinned-pinned steel beam subjected to a surface load of 80 KN/m (*1.5 safety factor).
The beam has a length of 1m.
The cross section is a IPE 400.
The beam is made of Fe 360 steel.
The aim of the example is to obtain the lateral buckling criterion according to EN 1993-1-1:2005.
Element types used in the model: BEAM3 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 6 |
| Number of nodes | 7 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR1015.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1015' /TITLE, %NomFile%, EC3-05 test: Lateral buckling ! --------------------------------------------------------------------------------- ! Model definition and solve ! --------------------------------------------------------------------------------- ! CivilFEM SETUP ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,KN ~CODESEL,EC3-05,EC2-08,,,EC8-94 /PREP7 ! Materiales ~CFMP,1,LIB,STEEL,EC3,Fe 360 ! Fe 360 ! Element types ET,1,Beam3 ! Element Type 1: 2D Beam ! Cross sections ~SSECLIB,1,1,1,15 ! IPE 450 ! ~MEMBPRO,1,EC3,ALL, L, K, KW, C1, C2, C3, CMY, CMZ, CMLT,PSIVEC,LATB,CFBXY,CFBXZ,CHKAX ~MEMBPRO,1,EC3,ALL, 6,1.000,1.000,1.132,0.459,0.525, 1.0, 1.0, 1.0, 0.5, 0, 1.0, 1.0, 0, ! Beam properties ~BMSHPRO,1,BEAM,1,1,,,3,1,0,, ! Nodes N,1 N,7,6 FILL,1,7 ! Elements E,1,2 EGEN,6,1,1,1 ! Boundary conditions D,1,,,,,,UX,UY D,7,,,,,,UY ! Plot /ESHAPE,1 EPLOT /SOLU P=80*1.5 ! 80 kN/m uniform distributed load SFBEAM,ALL,1,PRES,P SOLVE /POST1 ! Postprocessor ~CFSET,,1,1 ! Read the first load step ! Plot bending moment MZ ~PLLSFOR,M,Z,-1 ! Check for lateral bending ~CHKSTL,BUCK_BND,-Z,FULL !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 11 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) = 'CLASS' LABEL( 2,1) = 'MSD' LABEL( 3,1) = 'MBRD' LABEL( 4,1) = 'CHI_LT' LABEL( 5,1) = 'BETA_W' LABEL( 6,1) = 'WPL' LABEL( 7,1) = 'PHI_LT' LABEL( 8,1) = 'LAM_LT' LABEL( 9,1) = 'MCR' LABEL(10,1) = 'ALP_LT' LABEL(11,1) = 'CRT_TOT' ! Correct values !-------------------------------------------------------------------------------------- VALUE( 1,1)= 1 VALUE( 2,1)= -540 VALUE( 3,1)= 198.31256 VALUE( 4,1)= 0.5457 VALUE( 5,1)= 1.0 VALUE( 6,1)= 1702E-6 VALUE( 7,1)= 1.236 VALUE( 8,1)= 1.08257 VALUE( 9,1)= 340.88 VALUE(10,1)= 0.34 VALUE(11,1)= 2.723 ! Obtained values !-------------------------------------------------------------------------------------- ~CFGET,VALUE( 1,2),ELEMENT,4,RESULT,CLASS,I ~CFGET,VALUE( 2,2),ELEMENT,4,RESULT,MED,I ~CFGET,VALUE( 3,2),ELEMENT,4,RESULT,MBRD,I ~CFGET,VALUE( 4,2),ELEMENT,4,RESULT,CHI_LT,I ~CFGET,VALUE( 5,2),ELEMENT,4,RESULT,BETA_W,I ~CFGET,VALUE( 6,2),ELEMENT,4,RESULT,WPL,I ~CFGET,VALUE( 7,2),ELEMENT,4,RESULT,PHI_LT,I ~CFGET,VALUE( 8,2),ELEMENT,4,RESULT,LAM_LT,I ~CFGET,VALUE( 9,2),ELEMENT,4,RESULT,MCR,I ~CFGET,VALUE(10,2),ELEMENT,4,RESULT,ALP_LT,I ~CFGET,VALUE(11,2),ELEMENT,4,RESULT,CRT_TOT,I ! Warning and error tolerances TOLER( 1,1)= 1E-4 $ TOLER( 1,2)= 1E-4 TOLER( 2,1)= 1E-2 $ TOLER( 2,2)= 1E-2 TOLER( 3,1)= 1E+2 $ TOLER( 3,2)= 1E+2 ! ROUNDING ERROR ACCEPTED TOLER( 4,1)= 1E-1 $ TOLER( 4,2)= 1E-1 ! ROUNDING ERROR ACCEPTED TOLER( 5,1)= 1E-2 $ TOLER( 5,2)= 1E-2 TOLER( 6,1)= 1E-5 $ TOLER( 6,2)= 1E-5 TOLER( 7,1)= 1E-1 $ TOLER( 7,2)= 1E-1 ! ROUNDING ERROR ACCEPTED TOLER( 8,1)= 1E-1 $ TOLER( 8,2)= 1E-1 ! ROUNDING ERROR ACCEPTED TOLER( 9,1)= 1E+2 $ TOLER( 9,2)= 1E+2 ! ROUNDING ERROR ACCEPTED TOLER(10,1)= 1E-2 $ TOLER(10,2)= 1E-2 TOLER(11,1)= 1E-0 $ TOLER(11,2)= 1E-0 ! ROUNDING ERROR ACCEPTED !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| CLASS | 1 | 1 | 1.000 | 0.0001 |
| MSD | -540 | -540 | 1.000 | 0.01 |
| MBRD | 198.31 | 201.71 | 0.983 | 100 |
| CHI_LT | 0.5457 | 0.55475 | 0.983 | 0.1 |
| BETA_W | 1 | 1 | 1.000 | 0.01 |
| WPL | 0.001702 | 0.001702 | 1.000 | 1e-005 |
| PHI_LT | 1.236 | 1.2175 | 1.015 | 0.1 |
| LAM_LT | 1.0826 | 1.0677 | 1.014 | 0.1 |
| MCR | 340.88 | 350.84 | 0.971 | 100 |
| ALP_LT | 0.34 | 0.34 | 1.000 | 0.01 |
| CRT_TOT | 2.723 | 2.6771 | 1.017 | 1 |
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