CFVR1272 - Seismic margin in reinforced beam according to Eurocode 2 (2008)
Check a reinforced concrete beam subjected to shear force
A beam which is fixed at the right and simply supported at left end has a rectangular reinforced concrete section and it is subjected to a uniform distributed load of 6.75 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 is 1.25.
Element types used in the model: BEAM3 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 20 |
| Number of nodes | 21 |
| Number of civil materials | 2 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR1272.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR1272' /TITLE,%NomFile%, SHEAR CHECKING ACCORDING TO HCLPF FOR Eurocode 2 ! ------------------------------------------------------------------------------------- ! Initial data ! ------------------------------------------------------------------------------------- ! CivilFEM SETUP ~CFACTIV,NUCL,Y ~UNITS,,LENG,M ~UNITS,,TIME,S ~UNITS,,FORC,MP ~CODESEL,EC3-92,EC2-08,,,EC8-94 ! Preprocessor /PREP7 ! Parameters L=10 ! Length between supports, in m b=.3 ! Cross-section width in m. h=.5 ! Depth in m. Q=4.5 ! Uniform distributed load in Mp/m Q_NS = Q/8 Q_S = Q/2 ! Material Definition ~CFMP,3,LIB,CONCRETE,ACI,fc_4500 ~CFMP,4,LIB,REINF,ACI,fy_60000 ! Element Type Definition ET,1,Beam3 ! Element Type 1: 2D Beam ! Cross-section definition ~CSECDMS,2,REC,3,0.5,0.3 ! Reinforcement definition ~RNFDEF,2,1,4,4,,,0.6368E-02 ! Bot. reinf. for bending ~RNFDEF,2,2,4,2,,,0.2283E-02 ! Top reinf. for bending ~RNFDEF,2,SHEAR,4,,,.00128 ! Shear reinf. ! Code properties definition ~SECMDF,2,EC2PROP,REC ,,5e-002 ~SECMDF,2,EC2PROP,DUCT_SH ,,1.25,0,0,0 ! Beam & shell properties ~BMSHPRO,1,BEAM,2,2,,,3,,,,Beam property ! Model Construction MAT,3 N,1 ! Nodes input N,21,L FILL,1,21 E,1,2 ! Elements input EGEN,20,1,1,1 D,1, , , , , ,UX,UY ! Boundary conditions D,21, , , , , ,UY ~CFSAVE,%NomFile% FINISH /FILNAME,NON_SEISMIC ~CFRESUM,%NomFile% /SOLU SFBEAM,ALL,1,PRES,Q_NS SOLVE ! Calculation FINISH /FILNAME,SEISMIC ~CFRESUM,%NomFile% /SOLU SFBEAM,ALL,1,PRES,Q_S SOLVE ! Calculation FINISH /FILNAME,NON_SEISMIC /POST1 ! Postprocessor ~CFSET,,1,1 ! Read first load step ~CFFILE2,4,SEISMIC.RCV ! Shear in Y checking according to EC2 ~HCLPFCN,SHT,SHEAR,0, , ,1,,,,,,,,1,1 ~PLHCLPF,BEAM,FSE ~CFGET,FSE, ELEMENT, 1 ,RESULT , FSE, I, , , 1 ~CFSAVE,%NomFile% FINISH /FILNAME,SEISMIC_SCALED ~CFRESUM,%NomFile% /SOLU SFBEAM,ALL,1,PRES,Q_S*FSE SOLVE ! Calculation FINISH /FILNAME,NON_SEISMIC /POST1 ~CFSET,,1 ~CFFILE2,4,SEISMIC_SCALED.RCV ~HCLPFCN,SHT,SHEAR,0, , ,1,,,,,,,,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)=1.25 VALUE(2,1)=1. ! Comparison ! CivilFEM data ~CFGET,VALUE(1,2),SECTION,2,EC2PROP,DUCT_SH ~PLHCLPF,BEAM,FSE ~CFGET,VALUE(2,2), ELEMENT, 20 ,RESULT , FSE, J, , , 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 | 1.25 | 1.25 | 1.000 | 0.01 |
| FSE | 1 | 1 | 1.000 | 0.05 |
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