CFVR1273 - Seismic margin in reinforced beam according to Eurocode 2 (2008)
Check a reinforced concrete beam subjected to torsional moment
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 torsion is 1.2.
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: CFVR1273.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1273' /TITLE,%NomFile%, 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 ! Torsional moment in Mp*m Q=4.7 ! Maximum concomitant design shear force in Mp T_NS=T/8 Q_NS=Q/8 T_S=T/2 Q_S=Q/2 ! 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,2,3.03e-4,,,,3.27e-4, ! Torsional reinforcement ! Code properties definition ~SECMDF,1,EC2PROP ,DUCT_TO ,,1.2,0,0,0 ! 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,NON_SEISMIC ~CFRESUM,%NomFile% /SOLU F,5,FY,-Q_NS F,5,MX,T_NS SOLVE ! Calculation FINISH /FILNAME,SEISMIC ~CFRESUM,%NomFile% /SOLU F,5,FY,-Q_S F,5,MX,T_S SOLVE ! Calculation FINISH /FILNAME,NON_SEISMIC /POST1 ! Postprocessor ~CFSET,,1,1 ! Read first load step ~CFFILE2,4,SEISMIC.RCV ! Torsion checking ~HCLPFCN,SHT,TORSION,,,,,,,,,,,,1,1 ~PLHCLPF,BEAM,FSE ~CFGET,FSE, ELEMENT, 1 ,RESULT , FSE, I, , , 1 ~CFSAVE,%NomFile% FINISH /FILNAME,SEISMIC_SCALED ~CFRESUM,%NomFile% /SOLU F,5,FY,-Q_S*FSE F,5,MX,T_S*FSE SOLVE ! Calculation FINISH /FILNAME,NON_SEISMIC /POST1 ~CFSET,,1 ~CFFILE2,4,SEISMIC_SCALED.RCV ~HCLPFCN,SHT,TORSION,,,,,,,,,,,,1,1 !-------------------------------------------------------------------------------------- ! DATA CHECK !-------------------------------------------------------------------------------------- ! Data comparison number NComp = 2 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) = 'DUCT' LABEL(2,1) = 'FSE' ! Correct values VALUE(1,1)=1.2 VALUE(2,1)=1. ! Comparison ! CivilFEM data ~CFGET,VALUE(1,2),SECTION,1,EC2PROP,DUCT_TO ~PLHCLPF,BEAM,FSE ~CFGET,VALUE(2,2), ELEMENT, 1 ,RESULT , FSE, I, , , 1 ! Warning and error tolerances TOLER( 1, 1)= 1E-02 $ TOLER( 1, 2)= 1E-02 TOLER( 2, 1)= 5E-02 $ TOLER( 2, 2)= 5E-02 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| DUCT | 1.2 | 1.2 | 1.000 | 0.01 |
| FSE | 1 | 1 | 1.000 | 0.05 |
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