CFVR1271 - Seismic margin in reinforced beam according to Eurocode 2 (2008)
Check a reinforced concrete beam subjected to torsional moment and shear force
A fixed beam with 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 this example is to obtain the scale factor for elastic (FSE) and permissible inelastic response (FSI) according to EC2-08 code.
Inelastic energy absorption factors for shear and torsion are 1.5 and 1.6.
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: CFVR1271.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1271' /TITLE,%NomFile%, Shear and torsion checking according to HCLPF for Eurocode 2 (2008) ! ------------------------------------------------------------------------------------- ! Initial data ! ------------------------------------------------------------------------------------- ! CivilFEM SETUP ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,MP ~CODESEL,EC3-92,EC2-08,EC2-08,,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 T_NS = T/4 Q_NS = Q/4 T_S = T Q_S = Q ! 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,SHEAR,2,0.0,0.0,10.2E-3,0.0 ! Shear reinforcement ~RNFDEF,1,TORSION,2,30.03e-4,,,,30.27e-4, ! Torsional reinforcement ! Ductility ~SECMDF,1,EC2PROP ,DUCT_SH ,,1.5,0,0,0 ~SECMDF,1,EC2PROP ,DUCT_TO ,,1.6,0,0,0 ! Beam properties ~BMSHPRO,1,BEAM,1,1,,,4,1,0,, ! 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 ~CFSAVE,%NomFile% FINISH /FILNAME,CNS ~CFRESUM,%NomFile% FINISH /SOLU F,5,FY,Q_NS F,5,MX,T_NS SOLVE ! Calculation FINISH /FILNAME,SPECTRAL ~CFRESUM,%NomFile% FINISH /SOLU F,5,FY,Q_S F,5,MX,T_S SOLVE ! Calculation FINISH /FILNAME,CNS /POST1 ! Postprocessor ~CFSET,,1,1 ! Read first load step ~CFFILE2,4,SPECTRAL.RCV ! Seismic results ! Torsion checking ! ~HCLPFCN, Lab1, Lab2, DIRKEY,VAL1,VAL2,VAL3,VAL4,VAL5,VAL6,VAL7,VAL8,VAL9,VAL10,VAL11,VAL12 ~HCLPFCN, SHT,BOTH, , , , , , , , , , , , 1, 1 ! Resultado FSI ~PLHCLPF,BEAM,FSE ALLSEL ~CFGET,FSE, ELEMENT, 1 ,RESULT , FSE, I, , , 1 FINISH ~CFSAVE,%NomFile% /FILNAME,SPECTRALSCALED ~CFRESUM,%NomFile% FINISH /SOLU ! Forces scaled by FSE already calculated. F,5,FY,Q_S*FSE F,5,MX,T_S*FSE SOLVE ! Calculation FINISH /FILNAME,CNS /POST1 ! Postprocessor ~CFSET,,1,1 ! Read first load step ~CFFILE2,4,SPECTRALSCALED.RCV ! Seismic scaled results ~HCLPFCN, SHT,BOTH, , , , , , , , , , , , 1, 1 !------------------------------------------------------------------------------- ! data check !------------------------------------------------------------------------------- ! arrays NComp = 2 NComp_ch = 0 *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) = 'DUCT' LABEL(2) = 'FSE' ! correct data VALUE(1,1) = 1.5 VALUE(2,1) = 1. ! CivilFEM data ~CFGET,DUCT_SH,SECTION,1,EC2PROP,DUCT_SH ~CFGET,DUCT_TO,SECTION,1,EC2PROP,DUCT_TO VALUE(1,2) = MIN(DUCT_SH,DUCT_TO) ~PLHCLPF,BEAM,FSE ~CFGET,VALUE(2,2), ELEMENT, 1 ,RESULT , FSE, I, , , 1 ! results comparison TOLER(1,1) = 1.E-6*ABS(VALUE(1,1)) TOLER(1,2) = TOLER(1,1) TOLER(2,1) = 5.E-2*ABS(VALUE(2,1)) TOLER(2,2) = TOLER(2,1) COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| DUCT | 1.5 | 1.5 | 1.000 | 1.5e-006 |
| FSE | 1 | 1 | 1.000 | 0.05 |
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