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CFVR2611 - BS 5950 (2001) Compression Buckling

Compression Buckling checking according to British Standard 5950-01.

A pinned-pinned steel beam subjected to a Fy load of -2500 KN. A fixed steel beam subjected to a Fy load of -250 KN, applied on one end of the beam.
The beam has a length of 6 m.
The cross section is a pipe with 0.356 m of radius and 10.7 mm thickness.
The beam is made of Gr43 steel.
The aim of the example is to obtain the Compression Buckling criterion according to BS 5950-01.

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
Steel
Code Checking/Design
BS 5950-01

Model Statistics
Number of elements 12
Number of nodes 13
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR2611.DAT


  FINISH
  ~CFCLEAR,,1
  NomFile='CFVR2611'
  /TITLE, %NomFile%, BS 5950 (2001) Compression 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
! Mat 1: Grade 43 steel
  ~CFMP,1,LIB,STEEL,BS5950,Gr43
! Element Types
  ET,1,BEAM3 ! Type 1: 2D Beam
! Cross Section
  ~SSECLIB,1,1,501,1   !356x358x129 UC
! Member property
 ~MEMBPRO,1,BS595085,ALL,6.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1
  L        = 6.0
  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 = 1
  ~MEMBPRO,1,BS595085,ALL,L,KLTXY,KLTXZ,KCXY,KCXZ,CteRob,n,m,DL,CFBUCKXY,CFBUCKXZ,CHCKAXIS
! Beam & Shell properties
  ~BMSHPRO,1,BEAM,1,1,,,3,1,0,,Beam Property

! Keypoints
  K, ,,,,
  K,2,,6,,
! Lines
  LSTR,1,2
! Meshing
  ESIZE,0.5,0,
 LMESH,1
 FINISH

/SOLU
! Solution
! --------------------------------------------------
! Displacements
  DK,1,UX,,,,UY
  DK,2,UX,,,,
! Apply Load
  FK,2,FY,-2500
! Solve
  SOLVE

/POST1
! Postprocessor
! --------------------------------------------------
! Read results
  ~CFSET,,1,1
! BS 5950 Check for Compression buckling
  ~CHKSTL,BUCK_CMP, ,-Z

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 5
  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) = 'PC'
  LABEL(2,1) = 'LAMBDA'
  LABEL(3,1) = 'LAMBDA0'
  LABEL(4,1) = 'NU'
  LABEL(5,1) = 'CRT_TOT'

! Correct values
  VALUE(1,1)=3105
  VALUE(2,1)=63.909
  VALUE(3,1)=17.476
  VALUE(4,1)=0.255385
  VALUE(5,1)=0.805

! Obtained values
  ! BS 5950 Check for Bending+Shear
   ~CFSET,1      ! Load first alternative
   ~PLLSSTL,PC
   *GET,VALUE(1,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,LAMBDA
   *GET,VALUE(2,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,LAMBDA0
   *GET,VALUE(3,2),ELEM,3,ETAB,CFETAB_I
   ~PLLSSTL,PERRYFCT
   *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)= 100  $ TOLER( 1, 2)= 100
  TOLER( 2, 1)= 10   $ TOLER( 2, 2)= 10
  TOLER( 3, 1)= 1    $ TOLER( 3, 2)= 1
  TOLER( 4, 1)= 1E-2 $ TOLER( 4, 2)= 1E-1
  TOLER( 5, 1)= 1E-2 $ TOLER( 5, 2)= 1E-1

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

Results

LabelTargetCivilFEMRatioTolerance
PC 3105 3105.41.000 100
LAMBDA 63.909 63.9091.000 10
LAMBDA0 17.476 17.4761.000 1
NU 0.25538 0.255391.000 0.1
CRT_TOT 0.805 0.805061.000 0.1


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