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CFVR2608 - BS 5950 (2001) Lateral torsional buckling

Lateral torsional buckling checking according to British Standard 5950 2001.

A pinned-pinned Steel beam which is subjected to a surface load of 500 kN/m
The beam is 1 m length.
The cross section is a L section with the following dimensions:

  • h = 0.2 m
  • tw = 0.018 m
  • b = 0.15 m
  • tf = 0.018 m
The beam is made of Gr43 steel.
The aim of the example is to obtain the cross section classification and lateral torsional buckling checking criterion according to BS 5950 2001.

Element types used in the model: BEAM3

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
Steel
Code Checking/Design
BS 5950-01

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: CFVR2608.DAT


  FINISH
  ~CFCLEAR,,1
  NomFile='CFVR2608'
  /TITLE, %NomFile%, BS 5950 (2001) Lateral torsional buckling

!--------------------------------------------------------------------------------------
! 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,BEAM3 ! Type 1: 3D Beam
! Cross Sections
  ~SSECDMS,1,L,1,0.2,1.8e-002,0.15,1.8e-002,0
! Member Properties
  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,,,3,1,0,,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, , , , , ,UX,UY
  D,25, , , , , ,UX,UY
  ! Apply Load
  SFBEAM,all,1,PRES,500, , , , , ,
  ! Solve
  SOLVE
/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1,1       ! Load first load step
! British Standard Check for lateral buckling
  ~CHKSTL,BUCK_LAT,-Z,

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 3
  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) = 'LAMBDA'
  LABEL(2,1) = 'MB'
  LABEL(3,1) = 'CRT_TOT'

! Correct values
  VALUE(1,1)=31.0232
  VALUE(2,1)=46.5410
  VALUE(3,1)=1.1097

! Obtained values
  ~CFSET,1      ! Load first alternative
  ~PLLSSTL,LAMBDA
  *GET,VALUE(1,2),ELEM,8,ETAB,CFETAB_I
  ~PLLSSTL,MB
  *GET,VALUE(2,2),ELEM,8,ETAB,CFETAB_I
  ~PLLSSTL,CRT_TOT
  *GET,VALUE(3,2),ELEM,8,ETAB,CFETAB_I

! 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

!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC

Results

LabelTargetCivilFEMRatioTolerance
LAMBDA 31.023 31.0231.000 0.1
MB 46.541 46.5411.000 0.1
CRT_TOT 1.1097 1.10981.000 0.1


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