CFVR1006 - EUROCODE 3 1992 test: Axial and Biaxial Bending
Axial and Biaxial bending checking according to Eurocode 3 1992.
A fixed-pinned steel beam is subjected to a Fx load of -500 kN, a bending moment My of 30 kN*m and a bending moment of 80 kNm applied on one end of the beam.
The beam has a length of 1m.
The cross section is a HE 200 B.
The beam is made of Fe 430 steel which has a fy of 275000 kN/m2.
The aim of the example is to obtain the cross section classification and the axial and biaxial bending criterion according to Eurocode 3 1992.
Element types used in the model: BEAM4 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 24 |
| Number of nodes | 25 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR1006.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1006' /TITLE, %NomFile%, Eurocode 3 1992 test: Axial and Biaxial Bending ! --------------------------------------------------------------------------------- ! Model definition and solve ! --------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,KN ~CODESEL,EC3-92 /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,EC3,Fe 430 ! Fe 430 ! Element type ET,1,BEAM4 ! Type 1: 3D Beam ! Cross Sections ~SSECLIB,3,1,6,6 !HE 200 B ! Beam properties ~BMSHPRO,1,BEAM,3,3,,,4,1,0,, ! Nodes N, 1 N,25,1 FILL, 1,25 ! Elements E,1,2 EGEN,24,1,1 EPLOT /SOLU ! Solution ! -------------------------------------------------- ! Displacements D, 1,ALL ! Apply Load F,25,FX,-500 F,25,MY,30 F,25,MZ,80 ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1,1 !Read the first load step ! Plot bending moment MZ ~PLLSFOR,M,Z,-1 ! Check Axial Force + Biaxial bending ~CHKSTL,BEND_AXL,-Z,PARTIAL !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 11 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) = 'CLASS' LABEL( 2,1) = 'NCRD' LABEL( 3,1) = 'Nsd' LABEL( 4,1) = 'Mysd' LABEL( 5,1) = 'Mzsd' LABEL( 6,1) = 'MNyRd' LABEL( 7,1) = 'MNzRd' LABEL( 8,1) = 'n' LABEL( 9,1) = 'Alpha' LABEL(10,1) = 'Beta' LABEL(11,1) = 'Crit' ! Correct values !-------------------------------------------------------------------------------------- VALUE( 1,1)= 1 VALUE( 2,1)=1952 VALUE( 3,1)= 500 VALUE( 4,1)= -80 VALUE( 5,1)= 30 VALUE( 6,1)= 150.08614 VALUE( 7,1)= 71.4339960 VALUE( 8,1)= 0.25614754 VALUE( 9,1)= 2 VALUE(10,1)= 1.280737 VALUE(11,1)= 0.61330238 ! Obtained values !-------------------------------------------------------------------------------------- ~PLLSSTL,CLASS *GET,VALUE( 1,2),ELEM,1,ETAB,CLASS_J ~PLLSSTL,NCRD *GET,VALUE( 2,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,NSD *GET,VALUE( 3,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MYSD *GET,VALUE( 4,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MZSD *GET,VALUE( 5,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MNYRD *GET,VALUE( 6,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MNZRD *GET,VALUE( 7,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,PARM_N *GET,VALUE( 8,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,ALPHA *GET,VALUE( 9,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,BETA *GET,VALUE(10,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_TOT *GET,VALUE(11,2),ELEM,1,ETAB,CFETAB_J ! Warning and error tolerances TOLER( 1,1)= 0 $ TOLER( 1,2)= 0 TOLER( 2,1)= 1E-1 $ TOLER( 2,2)= 1E1 TOLER( 3,1)= 1E-1 $ TOLER( 3,2)= 1E1 TOLER( 4,1)= 1 $ TOLER( 4,2)= 1E1 TOLER( 5,1)= 1 $ TOLER( 5,2)= 1E1 TOLER( 6,1)= 1E-3 $ TOLER( 6,2)= 1E1 TOLER( 7,1)= 1E-3 $ TOLER( 7,2)= 1 TOLER( 8,1)= 1E-5 $ TOLER( 8,2)= 1E-2 TOLER( 9,1)= 1E-2 $ TOLER( 9,2)= 1E-1 TOLER(10,1)= 1E-5 $ TOLER(10,2)= 1E-2 TOLER(11,1)= 1E-5 $ TOLER(11,2)= 1E-2 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| CLASS | 1 | 1 | 1.000 | 0 |
| NCRD | 1952 | 1952 | 1.000 | 10 |
| Nsd | 500 | 500 | 1.000 | 10 |
| Mysd | -80 | -80 | 1.000 | 10 |
| Mzsd | 30 | 30 | 1.000 | 10 |
| MNyRd | 150.09 | 150.09 | 1.000 | 10 |
| MNzRd | 71.434 | 71.434 | 1.000 | 1 |
| n | 0.25615 | 0.25615 | 1.000 | 0.01 |
| Alpha | 2 | 2 | 1.000 | 0.1 |
| Beta | 1.2807 | 1.2807 | 1.000 | 0.01 |
| Crit | 0.6133 | 0.6133 | 1.000 | 0.01 |
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