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CFVR1218 - Torsion design according to Eurocode 2 (1991)

Design a reinforced concrete beam subjected to Torsion moment according to Eurocode 2 (1991)

A fixed beam which has a rectangular reinforced concrete section is subjected to a uniform distributed load of 7.52 Mp and a torsional moment of 1.52 Mp*m.
The aim of the example is to obtain the necessary steel amount according to Eurocode 2 (1991).

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
Reinforced Concrete
Eurocode 2

Model Statistics
Number of elements 4
Number of nodes 5
Number of civil materials 2
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR1218.DAT


   FINISH
  ~CFCLEAR,,1
   NomFile='CFVR1218'
  /TITLE,%NomFile%, Torsion design according to Eurocode 2 (1991)

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM SETUP
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,MP
  ~CODESEL,EC3-92,EC2-91,EC2-91,,EC8-94

! Preprocessor
  /PREP7

! Parameters
  L=1              ! Length in m
  b=.4             ! Cross-section width in m.
  h=.3             ! Depth in m.
  T=0.95*1.6       ! Torsional moment in Mp*m
  Q=4.7*1.6        ! Maximum concomitant design shear force in Mp

! Material Definition
 ~CFMP,1,LIB,CONCRETE,EC2,C25/30
 ~CFMP,2,LIB,REINF,EC2,S400

! Element Type Definition
  ET,1,Beam4                            ! Element Type 1: 3D Beam

! Cross-section definition
 ~CSECDMS,1,REC,1,0.3,0.4

! Reinforcement definition
 ~RNFDEF,1,TORSION,2,1E-4, , , ,1E-4

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

! Model Construction
  N,1                                    ! Nodes input
  N,5,L
  FILL,1,5

  E,1,2                                  ! Elements input
  EGEN,4,1,1,1

  D,1, , , , , ,ALL                      ! Constraint conditions

/SOLU
  F,5,FY,-Q
  F,5,MX,T
  SOLVE               ! Calculation

/POST1

! Postprocessor
  ~CFSET,,1,1       ! Read first load step

! Torsion checking according to Eurocode 2
  ~DIMCON,SHT,TORSION

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 3
  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) = 'TRD1'
  LABEL(2,1) = 'ASTT'
  LABEL(3,1) = 'ASLT'

! Correct values
  VALUE(1,1)=0.38732E1
  VALUE(2,1)=0.303E-3
  VALUE(3,1)=0.327E-3

! Comparison
 ~PLLSCON,TRD1
 *GET,VALUE(1,2),ELEM,3,ETAB,CFETAB_J
 ~PLLSCON,ASTT
  *GET,VALUE(2,2),ELEM,3,ETAB,CFETAB_J
 ~PLLSCON,ASLT
  *GET,VALUE(3,2),ELEM,3,ETAB,CFETAB_J

! Warning and error tolerances
  TOLER( 1, 1)= 1E-01 $ TOLER( 1, 2)= 1E-01
  TOLER( 2, 1)= 1E-04 $ TOLER( 2, 2)= 1E-04
  TOLER( 3, 1)= 1E-05 $ TOLER( 3, 2)= 1E-05

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

Results

LabelTargetCivilFEMRatioTolerance
TRD1 3.8732 3.94880.981 0.1
ASTT 0.0003030.000318170.950 0.0001
ASLT 0.0003270.000336350.971 1e-005


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