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CFVR1910 - Steel checking according to British Standard 5950 1985

Lateral torsional buckling check of a steel beam.

A supported steel beam with an I shape section is subjected to a uniform load and different forces and moments.
Determine the total criterion 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 9
Number of nodes 10
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR1910.DAT


   FINISH
   ~CFCLEAR,,1
   NomFile='CFVR1910'
   /TITLE, %NomFile%, British Standard 5950: Bending and shear

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
 ~UNITS,,LENG,M
 ~UNITS,,TIME,S
 ~UNITS,,FORC,KN
 ~CODESEL,BS595085

/PREP7
! Preprocessor
! --------------------------------------------------
! Materials
  ~CFMP,1,LIB,STEEL,BS5950,Gr43
! Element Type
  ET,1,BEAM4  ! Type 1: 3D Beam

! Cross Section
  ~SSECLIB,1,1,19,22   ! UB 457 x 152 x 52
! Member properties (Not needed)

! Beam & Shell properties
 ~BMSHPRO,1,BEAM,1,1,,,4,1,0

! Keypoints
  K,1
  K,2,3
  K,3,6
  K,4,9
! Lines
 LSTR,       1,       2
 LSTR,       2,       3
 LSTR,       3,       4

! Meshing
 TYPE,1
 MAT,1
 REAL,1
 ESIZE,1,0
 LMESH,ALL      ! First span

/SOLU
! Solution
! --------------------------------------------------
! Displacements
 DK,1,UX,,,,UY,UZ,ROTX
 DK,4,UX,,,,UY,UZ,ROTX
 FK,1,MZ,282
! Apply Load
 FK,4,MZ,-231
 FK,2,FY,-152
 FK,3,FY,-76
 SFBEAM,ALL,2,PRES,4.2
! Solve
  SOLVE

/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1,1       !First load case

! BS 5950 Check in Bending
 ~CHKSTL,BENDING,,-Z

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 5
  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) = 'MC'
  LABEL(2,1) = 'PV'
  LABEL(3,1) = 'CRT_V'
  LABEL(4,1) = 'CRT_M'
  LABEL(5,1) = 'CRT_TOT'

! Correct values
  VALUE(1,1)=301.675
  VALUE(2,1)=564.049
  VALUE(3,1)=253.228E-3
  VALUE(4,1)=39.9989E-3
  VALUE(5,1)=253.228E-3

! Obtained values
  ! BS 5950 Check in Bending+Shear
    ~CFSET,1      ! Load first alternative
   ~PLLSSTL,MC
   *GET,VALUE(1,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,PV
   *GET,VALUE(2,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_V
   *GET,VALUE(3,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_M
   *GET,VALUE(4,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,CRT_TOT
   *GET,VALUE(5,2),ELEM,3,ETAB,CFETAB_I

! Warning and error tolerances
  TOLER( 1,1)= 1E-0 $ TOLER( 1,2)= 1E-0  ! Rounding error accepted
  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

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

Results

LabelTargetCivilFEMRatioTolerance
MC 301.68 301.41.001 1
PV 564.05 564.051.000 0.001
CRT_V 0.25323 0.253231.000 0.001
CRT_M 0.039999 0.0400350.999 0.001
CRT_TOT 0.25323 0.253231.000 0.001


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