CFVR1409 - Combined Shear and Torsion checking according to EHE

Check a reinforced concrete beam subjected to shear force and torsional moment according to EHE

A fixed beam which has a rectangular reinforced concrete section is subjected to a shear force of 75.2 Mp and a torsional moment of 15.2 Mp*m.
The aim of the example is to obtain the check criterion according to EHE.
Variation of the problem included in "Prontuario informático del hormigón armado", Corres-León-Pérez-Arroyo-López, 1994, Page 227

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

EHE

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: CFVR1409.DAT

   FINISH
   ~CFCLEAR,,1
   NomFile='CFVR1409'
   /TITLE,%NomFile%, Combined Shear and Torsion checking according to EHE

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM SETUP
~UNITS,,LENG,M
~UNITS,,TIME,S
~UNITS,,FORC,KN
~CODESEL,EC3-92,EHE-98,,,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*16        ! Torsional moment in Mp*m
  Q=4.7*16         ! Maximum concomitant design shear force in Mp

! Material Definition
 ~CFMP,1,LIB,CONCRETE,EHE,HA-25
 ~CFMP,2,LIB,REINF,EHE,B400S

! 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, , ,0.10,6, ,16,4               ! Torsion reinfor.
 ~RNFDEF,1,SHEAR,2, , , , , , ,4e-002,6,2,2          ! Shear reinfor.
 ~RNFDEF,1,1,2,4,0, ,0.9094E-03                      ! Longitudinal reinfor.
 ~RNFMDF,1,1,GC,0.04                                 ! Geometrical cover
 ~SECMDF,1,EHEPROP,Rho1, ,0.02

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

! 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                                ! Boundary conditions

/SOLU
  F,5,FY,-Q           ! Vertical force
  F,5,MX,T            ! Torsional moment
  SOLVE               ! Calculation

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

! Shear in Y & Torsion checking according to EHE
  ~CHKCON,SHT,BOTH

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 10
  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) = 'VU1'
  LABEL(2,1) = 'VCU'
  LABEL(3,1) = 'VSU'
  LABEL(4,1) = 'CRTTRS'
  LABEL(5,1) = 'CRTSHR'
  LABEL(6,1) = 'CRT_TOT'
  LABEL(7,1) = 'VU2'
  LABEL(8,1) = 'TU1'
  LABEL(9,1) = 'TU2'
  LABEL(10,1) ='TU3'

! Correct values
  VALUE(1,1)=520
  VALUE(2,1)=71.9
  VALUE(3,1)=113.1
  VALUE(4,1)=15.2/13.4
  VALUE(5,1)=75.2/185
  VALUE(6,1)=15.2/13.4
  VALUE(7,1)=185
  VALUE(8,1)=34.7
  VALUE(9,1)=13.4
  VALUE(10,1)=35.9

! Comparison
 ~PLLSCON,VU1
 *GET,VALUE(1,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,VCU
 *GET,VALUE(2,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,VSU
 *GET,VALUE(3,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,CRTTRS
 *GET,VALUE(4,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,CRTSHR
 *GET,VALUE(5,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,CRT_TOT
 *GET,VALUE(6,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,VU2
 *GET,VALUE(7,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,TU1
 *GET,VALUE(8,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,TU2
 *GET,VALUE(9,2),ELEM,4,ETAB,CFETAB_J
 ~PLLSCON,TU3
 *GET,VALUE(10,2),ELEM,4,ETAB,CFETAB_J

! Warning and error tolerances
  TOLER( 1, 1)= 1E-02 $ TOLER( 1, 2)= 1E-02
  TOLER( 2, 1)= 1E-01 $ TOLER( 2, 2)= 1E-01
  TOLER( 3, 1)= 1E+01 $ TOLER( 3, 2)= 1E+01
  TOLER( 4, 1)= 1E-01 $ TOLER( 4, 2)= 1E-01
  TOLER( 5, 1)= 1E-02 $ TOLER( 5, 2)= 1E-02
  TOLER( 6, 1)= 1E-01 $ TOLER( 6, 2)= 1E-01
  TOLER( 7, 1)= 1E+01 $ TOLER( 7, 2)= 1E+01
  TOLER( 8, 1)= 1E-01 $ TOLER( 8, 2)= 1E-01
  TOLER( 9, 1)= 1E+00 $ TOLER( 9, 2)= 1E+00
  TOLER(10, 1)= 1E+00 $ TOLER(10, 2)= 1E+00

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

Results

Label	Target	CivilFEM	Ratio	Tolerance
VU1	520	520	1.000	0.01
VCU	71.9	71.917	1.000	0.1
VSU	113.1	115.06	0.983	10
CRTTRS	1.1343	1.1475	0.988	0.1
CRTSHR	0.40649	0.40218	1.011	0.01
CRT_TOT	1.1343	1.1475	0.988	0.1
VU2	185	186.98	0.989	10
TU1	34.7	34.636	1.002	0.1
TU2	13.4	13.247	1.012	1
TU3	35.9	35.642	1.007	1

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CFVR1409 - Combined Shear and Torsion checking according to EHE

Check a reinforced concrete beam subjected to shear force and torsional moment according to EHE

Results