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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:
Geotechnical Module
Bridges and Civil Non Linearities Module
Advanced Prestressed Concrete Module

The example can be launched on an educational license.
KEYWORDS
Beam
Cross Section
Code Checking/Design
Steel
BS 5950-85

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

LabelTargetCivilFEMRatioTolerance
CLASS 1 11.000 0.001
WEBCLASS 1 11.000 0.001
CRT_TOT 1.0529 1.05291.000 0.001
CRT_CM_L 0.89 0.890740.999 0.001
CRT_CM_O 1.0529 1.05291.000 0.001
CRT_AX_L 0.18225 0.182031.001 0.001
CRT_MX_L 0.35393 0.353931.000 0.001
CRT_MY_L 0.3547 0.354781.000 0.001
CRT_AX_O 0.2252 0.225251.000 0.001
CRT_MX_O 0.3757 0.375711.000 0.001
CRT_MY_O 0.4519 0.451941.000 0.001
CRT_PVX 0 00.000 0.001
F -50 -501.000 0.01
PC 221.98 221.981.000 0.001
FVX 0-3.613e-0100.000 0.001
MX -8 -81.000 0.001
ZX 0.0005696 0.00056961.000 1e-007
SX 0.0006425 0.00064251.000 1e-007
SVX 0.000620.000620021.000 1e-007
AVX 0.0018 0.00181.000 0.001
VCRX2.5688e+0052.5688e+0051.000 0.001
MDFX 0.065517 0.0655171.000 0.001
PVX 37.995 37.9951.000 0.001
MCX 22.603 22.6031.000 0.001
M 1 11.000 0.001
LAMBDA 39.448 39.4481.000 0.001
LAMBDA0 15.78 15.781.000 0.001
LAMBDALT 29.976 29.9761.000 0.001
LAMBDAL0 31.561 31.5611.000 0.001
ROBERSTS 5.5 5.51.000 0.001
PERRYFCT 0 00.000 0.001
MB 21.293 21.2931.000 0.001


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