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: |
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| 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
| Label | Target | CivilFEM | Ratio | Tolerance |
| TRD1 | 3.8732 | 3.9488 | 0.981 | 0.1 |
| ASTT | 0.000303 | 0.00031817 | 0.950 | 0.0001 |
| ASLT | 0.000327 | 0.00033635 | 0.971 | 1e-005 |
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