CFVR1011 - EC3-05: Cross section classification

Cross section classification according to EN 1993-1-1:2005

A cantilever steel beam which has different sections is subjected to an axial compression force of -1 kN. The beam has a length of 5 m which is divided in four segments of 1.5 m. The first segment of the beam has a IPE 100 section, the second one has a IPE 160 section, the third one a IPE 200 and the last one a IPE 240.
The beam is made of S 460 steel which has a fy of 460000 KN/m².
The aim of the example is to obtain the cross section classification 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	8
Number of nodes	9
Number of civil materials	1
Number of cross sections	8
Number of shell vertices	0

Log file: CFVR1011.DAT

    FINISH
  ~CFCLEAR,,1
   NomFile='CFVR1011'
  /TITLE, %NomFile%, EC3-05 test: Cross section classification

! ---------------------------------------------------------------------------------
! Model definition and solve
! ---------------------------------------------------------------------------------
! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,KN
  ~CODESEL,EC3-05,EC2-08,,,EC8-94

/PREP7
! Materials
 ~CFMP,1,LIB,STEEL,UNE,S 460    ! S 460 (UNE)
 
! Element Types
  ET,1,BEAM3  ! Type 1: 2D Beam
! Cross Sections
  ~SSECLIB,1,1,1,2   ! IPE 100
  ~SSECLIB,2,1,1,5   ! IPE 160
  ~SSECLIB,3,1,1,7   ! IPE 200
  ~SSECLIB,4,1,1,9   ! IPE 240
  ~SSECLIB,5,1,61,35 ! TS 8x8
  ~SSECLIB,6,1,21,5  ! UAP 175
  ~SSECLIB,7,1,24,5  ! L 130 x 65 x 10
  ~SSECLIB,8,1,82,1  ! P 13   

! Beam & Shell properties
  ~BMSHPRO,1,BEAM,1,1,,,3,1,0,
  ~BMSHPRO,2,BEAM,2,2,,,3,1,0,
  ~BMSHPRO,3,BEAM,3,3,,,3,1,0,
  ~BMSHPRO,4,BEAM,4,4,,,3,1,0,
  ~BMSHPRO,5,BEAM,5,5,,,3,1,0,
  ~BMSHPRO,6,BEAM,6,6,,,3,1,0,
  ~BMSHPRO,7,BEAM,7,7,,,3,1,0,
  ~BMSHPRO,8,BEAM,8,8,,,3,1,0,  
    
! Nodes
  N, 1
  N,9,9
  FILL, 1,9

! Elements
  REAL,1
  E,1,2
  EGEN,8,1,1,,,,,1
  EPLOT

/SOLU
! Restraints
  D, 1,ALL
! Apply Load  
  F,9,FX,-1
! Solve
  SOLVE

/POST1
! Read results
  ~CFSET,,1,1       ! Read the first load step

! EC3-05 Check in Compression
  ~CHKSTL,COMPRESS,-Z,PARTIAL

! Plot the class of the sections
  ~PLLSSTL,CLASS
!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp    =  8
  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 1'
  LABEL(2,1) = 'Class 2'
  LABEL(3,1) = 'Class 3'
  LABEL(4,1) = 'Class 4'
  LABEL(5,1) = 'Class 5'
  LABEL(6,1) = 'Class 6'
  LABEL(7,1) = 'Class 7'
  LABEL(8,1) = 'Class 8'  
! Correct values
!--------------------------------------------------------------------------------------
  VALUE(1,1)=1
  VALUE(2,1)=2
  VALUE(3,1)=3
  VALUE(4,1)=4
  VALUE(5,1)=1
  VALUE(6,1)=1
  VALUE(7,1)=4
  VALUE(8,1)=1  
  
! Obtained values
!--------------------------------------------------------------------------------------

  *GET,VALUE(1,2),ELEM,1,ETAB,CLASS_I
  *GET,VALUE(2,2),ELEM,2,ETAB,CLASS_I
  *GET,VALUE(3,2),ELEM,3,ETAB,CLASS_I
  *GET,VALUE(4,2),ELEM,4,ETAB,CLASS_I
  *GET,VALUE(5,2),ELEM,5,ETAB,CLASS_I
  *GET,VALUE(6,2),ELEM,6,ETAB,CLASS_I
  *GET,VALUE(7,2),ELEM,7,ETAB,CLASS_I
  *GET,VALUE(8,2),ELEM,8,ETAB,CLASS_I  

! Warning and error tolerances
  TOLER( 1, 1)= 1E-9  $ TOLER( 1, 2)= 1E-9
  TOLER( 2, 1)= 1E-9  $ TOLER( 2, 2)= 1E-9
  TOLER( 3, 1)= 1E-9  $ TOLER( 3, 2)= 1E-9
  TOLER( 4, 1)= 1E-9  $ TOLER( 4, 2)= 1E-9
  TOLER( 5, 1)= 1E-9  $ TOLER( 5, 2)= 1E-9
  TOLER( 6, 1)= 1E-9  $ TOLER( 6, 2)= 1E-9
  TOLER( 7, 1)= 1E-9  $ TOLER( 7, 2)= 1E-9
  TOLER( 8, 1)= 1E-9  $ TOLER( 8, 2)= 1E-9
  
!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC

Results

Label	Target	CivilFEM	Ratio	Tolerance
Class 1	1	1	1.000	1e-009
Class 2	2	2	1.000	1e-009
Class 3	3	3	1.000	1e-009
Class 4	4	4	1.000	1e-009
Class 5	1	1	1.000	1e-009
Class 6	1	1	1.000	1e-009
Class 7	4	4	1.000	1e-009
Class 8	1	1	1.000	1e-009

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CFVR1011 - EC3-05: Cross section classification

Cross section classification according to EN 1993-1-1:2005

Results