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CFVR2217 - Reinforced concrete design according to British Standard 8110

Torsion desing.

A concrete cantilever beam with rectangular shape section and shear & torsion reinforcement is subjected to a vertical load and torsion moment at free end.
Determine the area per unit length of torsional transverse reinforcement and total area of torsional longitudinal reinforcement according to BS 8110.

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
BS 8110

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: CFVR2217.DAT


  FINISH
  ~CFCLEAR,,1
  NomFile='CFVR2217'
  /TITLE, %NomFile%, TORSION DESIGN ACCORDING TO BS8110

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM SETUP
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,MP
  ~CODESEL,,BS8110

! Preprocessor
  /PREP7

! Parameters
  L= 1         ! Length in m
  b= 0.4       ! Cross-section width in m.
  h= 0.3       ! Depth in m.
  T= 1.5       ! Torsional moment in Mp*m
  Q= 5.5       ! Maximum concomitant design shear force in Mp

! Material Definition
  ~CFMP,1,LIB,CONCRETE,BS8110,C50
  ~CFMP,2,LIB,REINF,BS8110,Gr460A

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

! Cross-section definition
  ~CSECDMS,1,REC,1,h,b

! Reinforcement definition
 ~RNFDEF,1,TORSION,2

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

! Model
  N,1
  N,5,L
  FILL,1,5
  E,1,2
  EGEN,4,1,1,1
! Boundary conditions
  D,1,ALL,0

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

/POST1
! Postprocessor
  ~CFSET,,1,1

! Torsion design
  ~DIMCON,SHT,TORSION

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparision 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) = 'TU1'
  LABEL(2,1) = 'ASTT'
  LABEL(3,1) = 'ASLT'

! Correct Values
  VALUE(1,1) = 4.000
  VALUE(2,1) = 6.526E-4
  VALUE(3,1) = 3.524E-4

! Comparison
 ~PLLSCON,TU1
 *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-2 $ TOLER( 1,2)= 1E-2  ! Rounding error accepted
  TOLER( 2,1)= 1E-5 $ TOLER( 2,2)= 1E-5
  TOLER( 3,1)= 1E-5 $ TOLER( 3,2)= 1E-5

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

Results

LabelTargetCivilFEMRatioTolerance
TU1 4 4.00470.999 0.01
ASTT 0.00065260.000652641.000 1e-005
ASLT 0.00035240.000352421.000 1e-005


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