CFVR1270 - Seismic margin in reinforced beam according to Eurocode 2 (2008)
Check a reinforced concrete beam subjected to Bending + Axial force
A fixed beam which has a rectangular reinforced concrete section is subjected to an axial compression force of 200 kN and a bending moment of 306 KN*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 factor is 1.3.
Element types used in the model: BEAM3 Needed CivilFEM Modules: |
|
| 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: CFVR1270.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1270' /TITLE,%NomFile%, Seismic margin in reinforced beam according to Eurocode 2 (2008) ! ------------------------------------------------------------------------------------- ! Initial data ! ------------------------------------------------------------------------------------- ! CivilFEM SETUP ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,KN ~CODESEL,EC3-92,EC2-08,,,EC8-94 ! Preprocessor /PREP7 ! Parameters M=306 ! 306 KN*m bending moment H=-200 ! 200 kN axial compression force M_NS=M/8 H_NS=H/8 M_S=M/2 H_S=H/2 ! Material Definition ~CFMP,1,LIB,CONCRETE,EHE,HA-20 ~CFMP,2,LIB,REINF,EHE,B400S ! Element Type Definition ET,1,Beam3 ! Cross-section definition ~CSECDMS,1,REC,1,0.5,0.3 ! Reinforcement definition ~RNFDEF,1,1,2,2,,0.03,0.4423E-03 ! Top reinf. ~RNFDEF,1,2,2,4,,0.03,0.2193E-02 ! Bottom reinf. ! Code properties definition ~SECMDF,1,EC2PROP ,DUCT_BN ,,1.3,0,0,0 ! Beam & Shell property ~BMSHPRO,1,BEAM,1,1,,,3,1,,,Beam property ! Model Construction N,1 N,5,5 FILL,1,5 E,1,2 EGEN,4,1,1,1 D,1,ALL ~CFSAVE,%NomFile% FINISH /FILNAME,NON_SEISMIC ~CFRESUM,%NomFile% /SOLU F,5,FX,H_NS F,5,MZ,M_NS SOLVE FINISH /FILNAME,SEISMIC ~CFRESUM,%NomFile% /SOLU F,5,FX,H_S F,5,MZ,M_S SOLVE FINISH /FILNAME,NON_SEISMIC /POST1 ! Postprocessor ~CFSET,,1,1 ~CFFILE2,4,SEISMIC.RCV ! Bending + Axial checking according to EHE ~HCLPFCN,2DB,,,,,,,,,,,,,1,1 ! ~IDHCLPF,Entity, NUM, KeyIJ, CSEC, NX_NS, MY_NS, MZ_NS,NX_S, MY_S, MZ_S, BETA , MLabel,Lab2,VAL1,VAL2,VAL3,VAL4,VAL5,VAL6,VAL7 ~IDHCLPF, BEAM, 1, I,,,,,,,,,MZ,,,,,,,1,1 ! ~IDHCLPF,Entity, NUM, KeyIJ, CSEC, NX_NS, MY_NS, MZ_NS,NX_S, MY_S, MZ_S, BETA , MLabel,Lab2,VAL1,VAL2,VAL3,VAL4,VAL5,VAL6,VAL7 ~IDHCLPF, CROSSEC, 1, ,,H/8,,M/8,H/2,,M/2,,MZ,,,,,,,1,1 ~PLHCLPF,BEAM,FSE ~CFGET,FSE, ELEMENT, 1 ,RESULT , FSE, I, , , 1 ~CFSAVE,%NomFile% FINISH /FILNAME,SEISMIC_SCALED ~CFRESUM,%NomFile% /SOLU F,5,FX,H_S*FSE F,5,MZ,M_S*FSE SOLVE FINISH /FILNAME,NON_SEISMIC /POST1 ! Postprocessor ~CFSET,,1,1 ~CFFILE2,4,SEISMIC_SCALED.RCV ! Bending + Axial checking according to EC2 ~HCLPFCN,2DB,,,,,,,,,,,,,1,1 !-------------------------------------------------------------------------------------- ! 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) = 'DUCT' LABEL(2,1) = 'FSE' LABEL(3,1) = 'FSE_OLD' LABEL(4,1) = 'FSI_OLD' ! Correct values VALUE(1,1)=1.3 VALUE(2,1)=1. VALUE(3,1)=1.83 VALUE(4,1)=1.83*1.3 ! Comparison ! CivilFEM data ~CFGET,VALUE(1,2),SECTION,1,EC2PROP,DUCT_BN ~PLHCLPF,BEAM,FSE ~CFGET,VALUE(2,2), ELEMENT, 1 ,RESULT , FSE, I, , , 1 VALUE(3,2) = FSE VALUE(4,2) = FSE*VALUE(1,2) ! Warning and error tolerances TOLER( 1, 1)= 1E-02 $ TOLER( 1, 2)= 1E-02 TOLER( 2, 1)= 5E-02 $ TOLER( 2, 2)= 5E-02 TOLER( 3, 1)= 1E-02 $ TOLER( 3, 2)= 1E-02 TOLER( 4, 1)= 1E-02 $ TOLER( 4, 2)= 1E-02 !-------------------------------------------------------------------------------------- ! Results comparison !-------------------------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| DUCT | 1.3 | 1.3 | 1.000 | 0.01 |
| FSE | 1 | 1 | 1.000 | 0.05 |
| FSE_OLD | 1.83 | 1.8285 | 1.001 | 0.01 |
| FSI_OLD | 2.379 | 2.377 | 1.001 | 0.01 |
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