CFVR2609 - BS 5950 (2001) Axial compression with bending
Axial compression with bending checking according to British Standard 5950-01.
A steel beam subjected to Fx load of 500 KN, My of 80 m*KN and Mz of 30 m*KN.
The beam has a length of 10 m.
The cross section is a Angle 203x203x86.
The beam is made of Gr43 steel.
The aim of the example is to obtain the axial compression criterion according to BS 5950-01.
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: CFVR2609.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR2609' /TITLE, %NomFile%, BS 5950 (2001) Axial compression with bending !-------------------------------------------------------------------------------------- ! Model definition and solve !-------------------------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,KN ~CODESEL,BS595001,BS8110,,,EC8-94 /PREP7 ! Preprocessor ! -------------------------------------------------- ! Materials ~CFMP,1,LIB,STEEL,BS5950,Gr43 ! Element type ET,1,BEAM4 ! Type 1: 3D Beam ! Cross Sections ~SSECLIB,1,1,601,1 !203x203x86 ! Member Properties ~MEMBPRO,1,BS595085,ALL,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,0 L = 1 KLTXY = 1.0 KLTXZ = 1.0 KCXY = 1.0 KCXZ = 1.0 CteRob = 0 n = 1 m = 1 DL = 0 CFBUCKXY = 1 CFBUCKXZ = 1 CHCKAXIS = 0 Dpa = 0 mx = 1 my = 1 mlt = 1 ~MEMBPRO,1,BS595085,ALL,L,KLTXY,KLTXZ,KCXY,KCXZ,CteRob,n,m,DL,CFBUCKXY,CFBUCKXZ,CHCKAXIS,dpa,mx,my,mlt ! Beam properties ~BMSHPRO,1,BEAM,1,1,,,4,1,0,,Beam 1 ! 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 ! Load first load step ! British Standard Check for axial compression+bending ~CHKSTL,BUCK_BCM,-Z, !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 8 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) = 'CRT_AX_L' LABEL(2,1) = 'CRT_AX_0' LABEL(3,1) = 'CRT_CM_L' LABEL(4,1) = 'CRT_CM_O' LABEL(5,1) = 'CRT_TOT' LABEL(6,1) = 'PC' LABEL(7,1) = 'MB' LABEL(8,1) = 'LAMBDALT' ! Correct values VALUE(1,1)=0.172 VALUE(2,1)=0.1732 VALUE(3,1)=0.79 VALUE(4,1)=0.9065 VALUE(5,1)=0.9065 VALUE(6,1)=2885.72 VALUE(7,1)=258.222 VALUE(8,1)=15.213 ! Obtained values ! British Standard Check for axial+bending ~CFSET,1 ! Load first alternative ~PLLSSTL,CRT_AX_L *GET,VALUE(1,2),ELEM,8,ETAB,CFETAB_I ~PLLSSTL,CRT_AX_O *GET,VALUE(2,2),ELEM,8,ETAB,CFETAB_I ~PLLSSTL,CRT_CM_L *GET,VALUE(3,2),ELEM,8,ETAB,CFETAB_I ~PLLSSTL,CRT_CM_O *GET,VALUE(4,2),ELEM,8,ETAB,CFETAB_I ~PLLSSTL,CRT_TOT *GET,VALUE( 5,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,PC *GET,VALUE( 6,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,MB *GET,VALUE( 7,2),ELEM,1,ETAB,CFETAB_J ~PLLSSTL,LAMBDALT *GET,VALUE( 8,2),ELEM,1,ETAB,CFETAB_J ! Warning and error tolerances TOLER( 1, 1)= 1E-2 $ TOLER( 1, 2)= 1E-1 TOLER( 2, 1)= 1E-2 $ TOLER( 2, 2)= 1E-1 TOLER( 3, 1)= 1E-2 $ TOLER( 3, 2)= 1E-1 TOLER( 4, 1)= 1E-2 $ TOLER( 4, 2)= 1E-1 TOLER( 5, 1)= 1E-2 $ TOLER( 5, 2)= 1E-1 TOLER( 6, 1)= 10 $ TOLER( 6, 2)= 100 TOLER( 7, 1)= 1 $ TOLER( 7, 2)= 10 TOLER( 8, 1)= 1 $ TOLER( 8, 2)= 10 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| CRT_AX_L | 0.172 | 0.17203 | 1.000 | 0.1 |
| CRT_AX_0 | 0.1732 | 0.17327 | 1.000 | 0.1 |
| CRT_CM_L | 0.79 | 0.79637 | 0.992 | 0.1 |
| CRT_CM_O | 0.9065 | 0.90656 | 1.000 | 0.1 |
| CRT_TOT | 0.9065 | 0.90656 | 1.000 | 0.1 |
| PC | 2885.7 | 2885.7 | 1.000 | 100 |
| MB | 258.22 | 258.92 | 0.997 | 10 |
| LAMBDALT | 15.213 | 15.213 | 1.000 | 10 |
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