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CFVR2820 - Biaxial Bending + Axial force checking according to IS456

check a reinforced concrete beam subjected to Biaxial Bending + Axial force according to IS456

A fixed beam which has a T reinforced concrete section is subjected to an axial compression force of 70.820 Mp, a bending moment of 40 m*Mp on the Z axis direction, and a bending moment of 30 m*Mp on the Y axis direction.
The aim of the example is to obtain the check criterion according to IS456.

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
IS 456

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: CFVR2820.DAT


  FINISH
  ~CFCLEAR,,1
   NomFile='CFVR2820'
  /TITLE,%NomFile%, BIAXIAL BENDING + AXIAL FORCE CHECKING IS456

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM SETUP
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,MP
  ~CODESEL,EC3-92,IS456,,,EC8-94

! Preprocessor
  /PREP7

! Material Definition
  ~CFMP,1,LIB,CONCRETE,IS456,M25
  ~CFMP,2,LIB,REINF,IS1786,Fe500

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

! Cross-section definition
  ~CSECDMS,1,T,1,0.5,0.2,0.45,0.15

! Reinforcement definition
  ~RNFDEF,1,1,2,2,0,0.046,0.002

! Beam & Shell property
  ~BMSHPRO,1,BEAM,1,1,,,4,1,0,,Beam property

! Model
  N,1
  N,5,5
  FILL,1,5
  E,1,2
  EGEN,4,1,1,1

! Boundary conditions
  D,1,ALL,0

/SOLU
! Solution
  M1=40.00           ! 40.00 m*Mp bending moment
  M2=30.00           ! 30.00 m*Mp bending moment
  H=-70.82           ! 70.82 Mp axial force
  F,5,FX,H
  F,5,MZ,M1
  F,5,MY,M2
  SOLVE               ! Calculation

/POST1
! Postprocessor
  ~CFSET,,1           ! Read first load step

! Bending + Axial checking
  ~CHKCON,3DB,,,,,,1

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparision number
  NComp = 2
  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) = 'CRTC2D_I'
  LABEL(2,1) = 'CRTC2D_J'

! Correct Values
  VALUE(1,1) = 5.924
  VALUE(2,1) = 5.924

! Comparison
 ~PLLSCON,CRT_TOT
 *GET,VALUE(1,2),ELEM,4,ETAB,CFETAB_I
 ~PLLSCON,CRT_TOT
 *GET,VALUE(2,2),ELEM,4,ETAB,CFETAB_J

! Warning and error tolerances
  TOLER( 1, 1)= 5E-02 $ TOLER( 1, 2)= 5E-02
  TOLER( 2, 1)= 5E-02 $ TOLER( 2, 2)= 5E-02

!--------------------------------------------------------------------------------------
! Results Comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC




Results

LabelTargetCivilFEMRatioTolerance
CRTC2D_I 5.924 5.95510.995 0.05
CRTC2D_J 5.924 5.95510.995 0.05


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