CFVR1906 - Steel checking according to British Standard 5950 1985
Lateral buckling with moments check of a cantilever steel beam.
A steel cantilever beam is subjected to an axial compression force and moments at free end.
Determine the section class and total criterion, including values of Perry factor and Robertson constant according to BS 5950-85.
Element types used in the model: BEAM4 Needed CivilFEM Modules: |
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| 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: CFVR1906.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1906' /TITLE, %NomFile%, British Standard 5950 (1985) Compression and Biaxial Bending ! ------------------------------------------------------------------------------------- ! Initial data ! ------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,MP ~CODESEL,BS595085 /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,BS5950,GRWR50C ! grade WR50C ! Element type ET,1,BEAM4 ! Type 1: 3D Beam ! Cross Sections ~SSECLIB,3,1,6,6 !HE 200 B ! Member Properties L = 1 KLTXY = 1.4 KLTXZ = 1.4 KCXY = 2.0 KCXZ = 2.0 CteRob = 0 n = 1 m = 1 DL = 0 CFBUCKXY = 1 CFBUCKXZ = 1 CHCKAXIS = 1 ~MEMBPRO,1,BS595085,ALL,L,KLTXY,KLTXZ,KCXY,KCXZ,CteRob,n,m,DL,CFBUCKXY,CFBUCKXZ,CHCKAXIS ! 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,-50 F,25,MY,3 F,25,MZ,8 ! Solve SOLVE /POST1 ! Postprocessor ! -------------------------------------------------- ! Read results ~CFSET,,1,1 ! Load first load case ! Plot bending moment MZ ~PLLSFOR,M,Z,-1 ! Eurocode No.3 Checking in Axial+Biaxial bending ~CHKSTL,BUCK_BCM !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 32 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) = 'WEBCLASS' LABEL( 3,1) = 'CRT_TOT ' LABEL( 4,1) = 'CRT_CM_L' LABEL( 5,1) = 'CRT_CM_O' LABEL( 6,1) = 'CRT_AX_L' LABEL( 7,1) = 'CRT_MX_L' LABEL( 8,1) = 'CRT_MY_L' LABEL( 9,1) = 'CRT_AX_O' LABEL(10,1) = 'CRT_MX_O' LABEL(11,1) = 'CRT_MY_O' LABEL(12,1) = 'CRT_PVX ' LABEL(13,1) = 'F ' LABEL(14,1) = 'PC ' LABEL(15,1) = 'FVX ' LABEL(16,1) = 'MX ' LABEL(17,1) = 'ZX ' LABEL(18,1) = 'SX ' LABEL(19,1) = 'SVX ' LABEL(20,1) = 'AVX ' LABEL(21,1) = 'VCRX ' LABEL(22,1) = 'MDFX ' LABEL(23,1) = 'PVX ' LABEL(24,1) = 'MCX ' LABEL(25,1) = 'M ' LABEL(26,1) = 'LAMBDA ' LABEL(27,1) = 'LAMBDA0 ' LABEL(28,1) = 'LAMBDALT' LABEL(29,1) = 'LAMBDAL0' LABEL(30,1) = 'ROBERSTS' LABEL(31,1) = 'PERRYFCT' LABEL(32,1) = 'MB ' ! Correct values VALUE( 1,1)=1 VALUE( 2,1)=1 VALUE( 3,1)=1.05289 VALUE( 4,1)=.89 VALUE( 5,1)= 1.05289 VALUE( 6,1)= 0.18225 VALUE( 7,1)= 0.35393 VALUE( 8,1)= 0.3547 VALUE( 9,1)= 0.2252 VALUE(10,1)= 0.3757 VALUE(11,1)= 0.4519 VALUE(12,1)=0. VALUE(13,1)=-50. VALUE(14,1)=221.980 VALUE(15,1)=0. VALUE(16,1)= -8. VALUE(17,1)=0.5696e-3 VALUE(18,1)=0.6425E-3 VALUE(19,1)=0.6200E-3 VALUE(20,1)=0.0018 VALUE(21,1)=0.256878e6 VALUE(22,1)=0.065517 VALUE(23,1)=37.9946 VALUE(24,1)=22.6032 VALUE(25,1)=1. VALUE(26,1)=39.4477 VALUE(27,1)=15.7803 VALUE(28,1)=29.9762 VALUE(29,1)=31.5605 VALUE(30,1)=5.5 VALUE(31,1)=0. VALUE(32,1)=21.2929 ! Obtained values ~PLLSSTL,CLASS *GET,VALUE(1,2),ELEM,1,ETAB,CLASS_J ~PLLSSTL,WEBCLASS *GET,VALUE(2,2),ELEM,1,ETAB,CLASS_J ~PLLSSTL,CRT_TOT *GET,VALUE(3,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_CM_L *GET,VALUE(4,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_CM_O *GET,VALUE(5,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_AX_L *GET,VALUE(6,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_MX_L *GET,VALUE(7,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_MY_L *GET,VALUE(8,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_AX_O *GET,VALUE(9,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_MX_O *GET,VALUE(10,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_MY_O *GET,VALUE(11,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,CRT_PVX *GET,VALUE(12,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,F *GET,VALUE(13,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,PC *GET,VALUE(14,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,FVX *GET,VALUE(15,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MX *GET,VALUE(16,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,ZX *GET,VALUE(17,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,SX *GET,VALUE(18,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,SVX *GET,VALUE(19,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,AVX *GET,VALUE(20,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,VCRX *GET,VALUE(21,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MDFX *GET,VALUE(22,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,PVX *GET,VALUE(23,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MCX *GET,VALUE(24,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,M *GET,VALUE(25,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,LAMBDA *GET,VALUE( 26,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,LAMBDA0 *GET,VALUE(27,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,LAMBDALT *GET,VALUE(28,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,LAMBDAL0 *GET,VALUE(29,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,ROBERSTS *GET,VALUE(30,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,PERRYFCT *GET,VALUE(31,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MB *GET,VALUE(32,2),ELEM,1,ETAB,CFETAB_J ! Warning and error tolerances TOLER( 1,1)= 1E-3 $ TOLER( 1,2)= 1E-3 TOLER( 2,1)= 1E-3 $ TOLER( 2,2)= 1E-3 TOLER( 3,1)= 1E-3 $ TOLER( 3,2)= 1E-3 TOLER( 4,1)= 1E-3 $ TOLER( 4,2)= 1E-3 TOLER( 5,1)= 1E-3 $ TOLER( 5,2)= 1E-3 TOLER( 6,1)= 1E-3 $ TOLER( 6,2)= 1E-3 TOLER( 7,1)= 1E-3 $ TOLER( 7,2)= 1E-3 TOLER( 8,1)= 1E-3 $ TOLER( 8,2)= 1E-3 TOLER( 9,1)= 1E-3 $ TOLER( 9,2)= 1E-3 TOLER(10,1)= 1E-3 $ TOLER(10,2)= 1E-3 TOLER(11,1)= 1E-3 $ TOLER(11,2)= 1E-3 TOLER(12,1)= 1E-3 $ TOLER(12,2)= 1E-3 TOLER(13,1)= 1E-2 $ TOLER(13,2)= 1E-2 TOLER(14,1)= 1E-3 $ TOLER(14,2)= 1E-3 TOLER(15,1)= 1E-3 $ TOLER(15,2)= 1E-3 TOLER(16,1)= 1E-3 $ TOLER(16,2)= 1E-3 TOLER(17,1)= 1E-7 $ TOLER(17,2)= 1E-7 TOLER(18,1)= 1E-7 $ TOLER(18,2)= 1E-7 TOLER(19,1)= 1E-7 $ TOLER(19,2)= 1E-7 TOLER(20,1)= 1E-3 $ TOLER(20,2)= 1E-3 TOLER(21,1)= 1E-3 $ TOLER(21,2)= 1E-3 TOLER(22,1)= 1E-3 $ TOLER(22,2)= 1E-3 TOLER(23,1)= 1E-3 $ TOLER(23,2)= 1E-3 TOLER(24,1)= 1E-3 $ TOLER(24,2)= 1E-3 TOLER(25,1)= 1E-3 $ TOLER(25,2)= 1E-3 TOLER(26,1)= 1E-3 $ TOLER(26,2)= 1E-3 TOLER(27,1)= 1E-3 $ TOLER(27,2)= 1E-3 TOLER(28,1)= 1E-3 $ TOLER(28,2)= 1E-3 TOLER(29,1)= 1E-3 $ TOLER(29,2)= 1E-3 TOLER(30,1)= 1E-3 $ TOLER(30,2)= 1E-3 TOLER(31,1)= 1E-3 $ TOLER(31,2)= 1E-3 TOLER(32,1)= 1E-3 $ TOLER(32,2)= 1E-3 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| CLASS | 1 | 1 | 1.000 | 0.001 |
| WEBCLASS | 1 | 1 | 1.000 | 0.001 |
| CRT_TOT | 1.0529 | 1.0529 | 1.000 | 0.001 |
| CRT_CM_L | 0.89 | 0.89074 | 0.999 | 0.001 |
| CRT_CM_O | 1.0529 | 1.0529 | 1.000 | 0.001 |
| CRT_AX_L | 0.18225 | 0.18203 | 1.001 | 0.001 |
| CRT_MX_L | 0.35393 | 0.35393 | 1.000 | 0.001 |
| CRT_MY_L | 0.3547 | 0.35478 | 1.000 | 0.001 |
| CRT_AX_O | 0.2252 | 0.22525 | 1.000 | 0.001 |
| CRT_MX_O | 0.3757 | 0.37571 | 1.000 | 0.001 |
| CRT_MY_O | 0.4519 | 0.45194 | 1.000 | 0.001 |
| CRT_PVX | 0 | 0 | 0.000 | 0.001 |
| F | -50 | -50 | 1.000 | 0.01 |
| PC | 221.98 | 221.98 | 1.000 | 0.001 |
| FVX | 0 | -3.613e-010 | 0.000 | 0.001 |
| MX | -8 | -8 | 1.000 | 0.001 |
| ZX | 0.0005696 | 0.0005696 | 1.000 | 1e-007 |
| SX | 0.0006425 | 0.0006425 | 1.000 | 1e-007 |
| SVX | 0.00062 | 0.00062002 | 1.000 | 1e-007 |
| AVX | 0.0018 | 0.0018 | 1.000 | 0.001 |
| VCRX | 2.5688e+005 | 2.5688e+005 | 1.000 | 0.001 |
| MDFX | 0.065517 | 0.065517 | 1.000 | 0.001 |
| PVX | 37.995 | 37.995 | 1.000 | 0.001 |
| MCX | 22.603 | 22.603 | 1.000 | 0.001 |
| M | 1 | 1 | 1.000 | 0.001 |
| LAMBDA | 39.448 | 39.448 | 1.000 | 0.001 |
| LAMBDA0 | 15.78 | 15.78 | 1.000 | 0.001 |
| LAMBDALT | 29.976 | 29.976 | 1.000 | 0.001 |
| LAMBDAL0 | 31.561 | 31.561 | 1.000 | 0.001 |
| ROBERSTS | 5.5 | 5.5 | 1.000 | 0.001 |
| PERRYFCT | 0 | 0 | 0.000 | 0.001 |
| MB | 21.293 | 21.293 | 1.000 | 0.001 |
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