CFVR1209 - Shear checking according to Eurocode 2 (1991)
Check a reinforced concrete beam subjected to shear force according to Eurocode 2 (1991)
A 5m length beam which is simply supported, has a T reinforced concrete section and is subjected to a uniform distributed load of 84 kN/m.
The aim of the example is to obtain the check criterion according to Eurocode 2 (1991).
The example is based on "DESIGNERS' HANDBOOK TO EUROCODE 2", BEEBY AND NARAYANAN, 1995, PAGE 97, EX.6.1
Element types used in the model: BEAM3 Needed CivilFEM Modules: |
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| Model Statistics | |
| Number of elements | 25 |
| Number of nodes | 26 |
| Number of civil materials | 2 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR1209.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1209' /TITLE,%NomFile%, Shear checking according to Eurocode 2 (1991) ! ------------------------------------------------------------------------------------- ! Initial data ! ------------------------------------------------------------------------------------- ! CivilFEM SETUP ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,KN ~CODESEL,EC3-92,EC2-91,EC2-91,,EC8-94 ! Preprocessor /PREP7 ! Parameters L=5 ! Length between supports, in m Q=84 ! Uniform distributed load in kN/m ! Material Definition ~CFMP,1,LIB,CONCRETE,EC2,C25/30 ~CFMP,2,LIB,REINF,EC2,S500 ! Element Type Definition ET,1,Beam3 ! Element Type 1: 2D Beam ! Cross-section definition ~CSECDMS,1,T,1,0.375,0.15,0.75,0.15 ! T Section ! Reinforcement definition ~RNFDEF,1,1,2,1,1,0.02,0.2200E-02 ! Longitudinal reinforcement ~RNFMDF,1,1,UFC,2 ~RNFDEF,1,SHEAR,2,,,1.0937778e-3, ! Shear reinforcement ! Code properties definition ~SECMDF,1,EC2PROP ,REC ,,5e-002 ! 5 cm Cover ~SECMDF,1,EC2PROP ,KEYAST ,,0 ~SECMDF,1,EC2PROP ,RHO1 ,,0.02 ! Beam properties ~BMSHPRO,1,BEAM,1,1,,,3,1,0,, ! Model Construction N,1 ! Nodes input N,26,L FILL,1,26 E,1,2 ! Elements input EGEN,25,1,1,1 D,1, , , , , ,UX,UY ! Constraint conditions D,26, , , , , ,UY /SOLU SFBEAM,ALL,1,PRES,Q SOLVE ! Calculation /POST1 ! Postprocessor ~CFSET,,1,1 ! Read first load step ! Shear in Y checking for rectangular sections according to EC2 ~CHKCON,SHT,SHEAR !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 4 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) = 'VRD1' LABEL(2,1) = 'VRD2' LABEL(3,1) = 'VRD3' LABEL(4,1) = 'CRT_TOT' ! Correct values VALUE(1,1)=0.373E2 VALUE(2,1)=0.21023E3 VALUE(3,1)=0.17642E3 VALUE(4,1)=1.00 ! Comparison ~PLLSCON,VRD1 *GET,VALUE(1,2),ELEM,2,ETAB,CFETAB_J ~PLLSCON,VRD2 *GET,VALUE(2,2),ELEM,2,ETAB,CFETAB_J ~PLLSCON,VRD3 *GET,VALUE(3,2),ELEM,2,ETAB,CFETAB_J ~PLLSCON,CRT_TOT *GET,VALUE(4,2),ELEM,2,ETAB,CFETAB_J ! Warning and error tolerances TOLER( 1, 1)= 1E-02 $ TOLER( 1, 2)= 1E-02 TOLER( 2, 1)= 1E-02 $ TOLER( 2, 2)= 1E-02 TOLER( 3, 1)= 1E-01 $ TOLER( 3, 2)= 1E-01 TOLER( 4, 1)= 1E-04 $ TOLER( 4, 2)= 1E-04 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| VRD1 | 37.3 | 37.294 | 1.000 | 0.01 |
| VRD2 | 210.23 | 210.23 | 1.000 | 0.01 |
| VRD3 | 176.42 | 176.39 | 1.000 | 0.1 |
| CRT_TOT | 1 | 1 | 1.000 | 0.0001 |
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