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CFVR7906 - CTE DB SE-A test:Axial and Biaxial Bending

Axial and Biaxial bending checking according to CTE DB SE-A

A cantilever steel beam subjected to a Fx load of -500 kN,a bending moment My of 30 kN*m and a bending moment of 80 kN*m applied to an end of the beam.
The beam has a length of 1 m.
The cross section is a HE 200 B.
The beam is made of Fe 430 steel which has a fy of 275000 kN/m2.
The aim of the example is to obtain the cross section classification and the axial and biaxial bending criterion according to CTE DB SE-A.

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
CTE

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: CFVR7906.DAT


   FINISH
  ~CFCLEAR,,1
  NomFile='CFVR7906'
  /TITLE, %NomFile%, CTESEA test: Axial and Biaxial Bending

! ---------------------------------------------------------------------------------
! Model definition and solve
! ---------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,KN
  ~CODESEL,CTESEA,EC2,,,EC8-94
/PREP7
! Materials
  ~CFMP,1,LIB,STEEL,EC3,Fe 430      ! Fe 430

! Element type
  ET,1,BEAM4 ! Type 1: 3D Beam

! Cross Sections
~SSECLIB,1,1,6,6   !HE 200 B

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

! Nodes
 N, 1
 N,25,1
 FILL,1,25
! Elements
  E,1,2
  EGEN,24,1,1
  EPLOT
/SOLU
! Restraints
  D, 1,ALL
! Apply Load
  F,25,FX,-500
  F,25,MY,30
  F,25,MZ,80
! Solve
  SOLVE
/POST1
! Read results
  ~CFSET,,1,1       ! Read the first load step
! Check Axial+Biaxial bending
  ~CHKSTL,BEND_AXL,-Z,PARTIAL

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 8
  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) = 'NCRD'
  LABEL( 3,1) = 'CRT_N'
  LABEL( 4,1) = 'CRT_MY'
  LABEL( 5,1) = 'CRT_MZ'
  LABEL( 6,1) = 'MNyRd'
  LABEL( 7,1) = 'MNzRd'
  LABEL( 8,1) = 'Crit'

! Correct values
!-------------------------------------------------------------------------------------
  VALUE( 1,1)=    1
  VALUE( 2,1)=2042.85714
  VALUE( 3,1)=   0.24476
  VALUE( 4,1)=   0.4754
  VALUE( 5,1)=   0.374576
  VALUE( 6,1)= 168.27381
  VALUE( 7,1)=  80.09
  VALUE( 8,1)=   0.84999

! Obtained values
!--------------------------------------------------------------------------------------
 ~PLLSSTL,CLASS
 *GET,VALUE( 1,2),ELEM,1,ETAB,CLASS_J
 ~PLLSSTL,NCRD
 *GET,VALUE( 2,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,CRT_N
  *GET,VALUE( 3,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,CRT_MY
  *GET,VALUE( 4,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,CRT_MZ
  *GET,VALUE( 5,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,MNYRD
  *GET,VALUE( 6,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,MNZRD
 *GET,VALUE( 7,2),ELEM,1,ETAB,CFETAB_J
 ~PLLSSTL,CRT_TOT
 *GET,VALUE(8,2),ELEM,1,ETAB,CFETAB_J

! Warning and error tolerances
  TOLER( 1,1)= 0      $ TOLER( 1,2)= 0
  TOLER( 2,1)= 1E1    $ TOLER( 2,2)= 1E1
  TOLER( 3,1)= 1E-1   $ TOLER( 3,2)= 1E-1
  TOLER( 4,1)= 1E-2   $ TOLER( 4,2)= 1E-2
  TOLER( 5,1)= 1E-2   $ TOLER( 5,2)= 1E-2
  TOLER( 6,1)= 1E-2   $ TOLER( 6,2)= 1E-2
  TOLER( 7,1)= 1E-3   $ TOLER( 7,2)= 1E-3
  TOLER( 8,1)= 1E-2   $ TOLER( 8,2)= 1E-2

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

Results

LabelTargetCivilFEMRatioTolerance
CLASS 1 11.000 0
NCRD 2042.9 20450.999 10
CRT_N 0.24476 0.24451.001 0.1
CRT_MY 0.4754 0.475421.000 0.01
CRT_MZ 0.37458 0.374581.000 0.01
MNyRd 168.27 168.271.000 0.01
MNzRd 80.09 80.091.000 0.001
Crit 0.84999 0.849991.000 0.01


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