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CFVR1015 - EC3-05 test: Lateral buckling.

Lateral buckling checking according to EN 1993-1-1:2005.

A pinned-pinned steel beam subjected to a surface load of 80 KN/m (*1.5 safety factor).
The beam has a length of 1m.
The cross section is a IPE 400.
The beam is made of Fe 360 steel.

The aim of the example is to obtain the lateral buckling criterion according to EN 1993-1-1:2005.

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
Eurocode 3

Model Statistics
Number of elements 6
Number of nodes 7
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR1015.DAT


   FINISH
  ~CFCLEAR,,1
   NomFile='CFVR1015'
  /TITLE, %NomFile%,  EC3-05 test: Lateral buckling

! ---------------------------------------------------------------------------------
! Model definition and solve
! ---------------------------------------------------------------------------------
! CivilFEM SETUP
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,KN
  ~CODESEL,EC3-05,EC2-08,,,EC8-94

/PREP7
! Materiales
  ~CFMP,1,LIB,STEEL,EC3,Fe 360  ! Fe 360

! Element types
  ET,1,Beam3 ! Element Type 1: 2D Beam

! Cross sections
 ~SSECLIB,1,1,1,15   ! IPE 450

! ~MEMBPRO,1,EC3,ALL, L,    K,   KW,   C1,   C2,   C3,  CMY,  CMZ, CMLT,PSIVEC,LATB,CFBXY,CFBXZ,CHKAX  
  ~MEMBPRO,1,EC3,ALL, 6,1.000,1.000,1.132,0.459,0.525,  1.0,  1.0,  1.0,   0.5,   0,  1.0,  1.0,    0,  

! Beam properties
 ~BMSHPRO,1,BEAM,1,1,,,3,1,0,,

! Nodes
  N,1
  N,7,6
  FILL,1,7
! Elements
  E,1,2
  EGEN,6,1,1,1
! Boundary conditions
  D,1,,,,,,UX,UY
  D,7,,,,,,UY
! Plot
  /ESHAPE,1
  EPLOT

  /SOLU
  P=80*1.5 ! 80 kN/m uniform distributed load
  SFBEAM,ALL,1,PRES,P
  SOLVE

/POST1
! Postprocessor
  ~CFSET,,1,1       ! Read the first load step
! Plot bending moment MZ
  ~PLLSFOR,M,Z,-1
! Check for lateral bending
  ~CHKSTL,BUCK_BND,-Z,FULL

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 11
  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) = 'CLASS'
  LABEL( 2,1) = 'MSD'
  LABEL( 3,1) = 'MBRD'
  LABEL( 4,1) = 'CHI_LT'
  LABEL( 5,1) = 'BETA_W'   
  LABEL( 6,1) = 'WPL'
  LABEL( 7,1) = 'PHI_LT'  
  LABEL( 8,1) = 'LAM_LT'
  LABEL( 9,1) = 'MCR'    
  LABEL(10,1) = 'ALP_LT'
  LABEL(11,1) = 'CRT_TOT'  

! Correct values
!--------------------------------------------------------------------------------------
  VALUE( 1,1)=   1
  VALUE( 2,1)=   -540
  VALUE( 3,1)=   198.31256
  VALUE( 4,1)=   0.5457
  VALUE( 5,1)=   1.0  
  VALUE( 6,1)=   1702E-6
  VALUE( 7,1)=   1.236
  VALUE( 8,1)=   1.08257
  VALUE( 9,1)=   340.88  
  VALUE(10,1)=   0.34
  VALUE(11,1)=   2.723

! Obtained values
!--------------------------------------------------------------------------------------
 ~CFGET,VALUE( 1,2),ELEMENT,4,RESULT,CLASS,I
 ~CFGET,VALUE( 2,2),ELEMENT,4,RESULT,MED,I
 ~CFGET,VALUE( 3,2),ELEMENT,4,RESULT,MBRD,I
 ~CFGET,VALUE( 4,2),ELEMENT,4,RESULT,CHI_LT,I
 ~CFGET,VALUE( 5,2),ELEMENT,4,RESULT,BETA_W,I
 ~CFGET,VALUE( 6,2),ELEMENT,4,RESULT,WPL,I
 ~CFGET,VALUE( 7,2),ELEMENT,4,RESULT,PHI_LT,I
 ~CFGET,VALUE( 8,2),ELEMENT,4,RESULT,LAM_LT,I
 ~CFGET,VALUE( 9,2),ELEMENT,4,RESULT,MCR,I
 ~CFGET,VALUE(10,2),ELEMENT,4,RESULT,ALP_LT,I
 ~CFGET,VALUE(11,2),ELEMENT,4,RESULT,CRT_TOT,I

 ! Warning and error tolerances
  TOLER( 1,1)= 1E-4   $   TOLER( 1,2)= 1E-4
  TOLER( 2,1)= 1E-2   $   TOLER( 2,2)= 1E-2
  TOLER( 3,1)= 1E+2   $   TOLER( 3,2)= 1E+2		! ROUNDING ERROR ACCEPTED
  TOLER( 4,1)= 1E-1   $   TOLER( 4,2)= 1E-1		! ROUNDING ERROR ACCEPTED
  TOLER( 5,1)= 1E-2   $   TOLER( 5,2)= 1E-2
  TOLER( 6,1)= 1E-5   $   TOLER( 6,2)= 1E-5		
  TOLER( 7,1)= 1E-1   $   TOLER( 7,2)= 1E-1		! ROUNDING ERROR ACCEPTED
  TOLER( 8,1)= 1E-1   $   TOLER( 8,2)= 1E-1     ! ROUNDING ERROR ACCEPTED
  TOLER( 9,1)= 1E+2   $   TOLER( 9,2)= 1E+2     ! ROUNDING ERROR ACCEPTED
  TOLER(10,1)= 1E-2   $   TOLER(10,2)= 1E-2		
  TOLER(11,1)= 1E-0   $   TOLER(11,2)= 1E-0		! ROUNDING ERROR ACCEPTED


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

Results

LabelTargetCivilFEMRatioTolerance
CLASS 1 11.000 0.0001
MSD -540 -5401.000 0.01
MBRD 198.31 201.710.983 100
CHI_LT 0.5457 0.554750.983 0.1
BETA_W 1 11.000 0.01
WPL 0.001702 0.0017021.000 1e-005
PHI_LT 1.236 1.21751.015 0.1
LAM_LT 1.0826 1.06771.014 0.1
MCR 340.88 350.840.971 100
ALP_LT 0.34 0.341.000 0.01
CRT_TOT 2.723 2.67711.017 1


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