CFVR1027 - EC3-05 test:Bending Buckling
Bending Lateral Torsional Buckling check according to EN 1993-1-1:2005
A simply supported steel beam subjected to a FY load of -100 kN
The beam has a length of 5 m.
The cross section is a HE 200 B.
The beam is made of Fe 510 steel which has a fy of 355000 kN/m2.
The aim of the example is to obtain the Critical Moment Mcr according to EN 1993-1-1:2005.
Element types used in the model: BEAM188 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 50 |
| Number of nodes | 51 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR1027.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1027' /TITLE, %NomFile%, EC3-05 test: Axial and Shear Force and Biaxial Bending ! --------------------------------------------------------------------------------- ! Model definition and solve ! --------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,SI ~CODESEL,EC3-05,EC2-08,,,EC8-94 /PREP7 ! Materials ~CFMP,1,LIB,STEEL,EC3,Fe 510 ~CFMP,1,EC3 ,GAMM0 ,,1 ~CFMP,1,EC3 ,GAMM1 ,,1 ! Element type ET,1,188 ! Type 1: 3D Beam KEYOPT,1,3,2 ! Cross Sections ~SSECLIB,1,1,6,6 !HE 200 B ! Member Properties ~MEMBPRO,1,EC3,ALL,5.000,1.000,1.000,1.365,0.5530,0.000,1.000,1.000,1.000,,0,1.000,1.000,1 ~MEMBPRO,1,NLMOD,ALL,0 ~MEMBPRO,1,NAME,Member Property 1 ! Beam properties ~BMSHPRO,1,BEAM,1,1,,,188,1,0,,Beam 1 ! Geometry K,1 K,2,5 L,1,2 ! Mesh LESIZE,ALL, , ,50, , , , ,1 LMESH,all NSEL,S,LOC,X,2.5 EPLOT /SOLU ! Restraints DK,1,UX DK,1,UY DK,1,UZ DK,1,ROTX DK,1,ROTY DK,2,UY DK,2,UZ DK,2,ROTX DK,2,ROTY ! Apply Load NSEL,S,LOC,X,2.5 F,all,FY,-100000 ALLSEL ! Solve SOLVE /POST1 ! Read results ~CFSET,,1,1 ! Read the first load step ! Check Bending buckling ~CHKSTL,BUCK_BND,-Z,FULL !-------------------------------------------------------------------------------------- ! 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) = 'CHI_LT' LABEL( 2,1) = 'PHI_LT' LABEL( 3,1) = 'LAM_LT' LABEL( 4,1) = 'ALP_LT' LABEL( 5,1) = 'MCR' ! Correct values !------------------------------------------------------------------------------------- VALUE( 1,1)= 0.84 VALUE( 2,1)= 0.81 VALUE( 3,1)= 0.72 VALUE( 4,1)= 0.21 VALUE( 5,1)= 438920 ! Obtained values !-------------------------------------------------------------------------------------- ~CFGET,VALUE( 1,2),ELEMENT,1,RESULT,CHI_LT,I ~CFGET,VALUE( 2,2),ELEMENT,1,RESULT,PHI_LT,I ~CFGET,VALUE( 3,2),ELEMENT,1,RESULT,LAM_LT,I ~CFGET,VALUE( 4,2),ELEMENT,1,RESULT,ALP_LT,I ~CFGET,VALUE( 5,2),ELEMENT,1,RESULT,MCR,I ! Warning and error tolerances TOLER( 1,1)= 1E-2 $ TOLER( 1,2)= 1E-2 TOLER( 2,1)= 1E-2 $ TOLER( 2,2)= 1E-2 TOLER( 3,1)= 1E-2 $ TOLER( 3,2)= 1E-2 TOLER( 4,1)= 1E-2 $ TOLER( 4,2)= 1E-2 TOLER( 5,1)= 1E+3 $ TOLER( 5,2)= 1E+3 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| CHI_LT | 0.84 | 0.83744 | 1.003 | 0.01 |
| PHI_LT | 0.81 | 0.815 | 0.994 | 0.01 |
| LAM_LT | 0.72 | 0.72145 | 0.998 | 0.01 |
| ALP_LT | 0.21 | 0.21 | 1.000 | 0.01 |
| MCR | 4.3892e+005 | 4.3821e+005 | 1.002 | 1000 |
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