CFVR4703 - CALTRANS: Seismic Analysis Z-axis
Seismic Analysis on a 1 DOF beam according to CALTRANS. (soil profile type D)
This example compares spectrum accelerations given by CivilFEM to accelerations obtained when solving on a 1 DOF beam and to the correct CALTRANS spectum accelerations.
The model is 1 element beam with only 1 DOF, which direction the CivilFEM spectrum is set (the rest of the DOF are constrained). A different mass is applied at the free end of the beam for the beam period to be equal to the 20 CivilFEM spectrum points. After solving, the mass acceleration is obtained and compared to the CivilFEM spectrum acceleration and to the correct value. Therefore, this example checks the following results:
- CivilFEM spectrum is defined correctly by comparing to the correct value.
- CivilFEM spectrum is applied correctly and response acceleration is equal to spectrum acceleration.
Element types used in the model: BEAM4, MASS21 Needed CivilFEM Modules: |
|
| Model Statistics | |
| Number of elements | 1 |
| Number of nodes | 2 |
| Number of civil materials | 1 |
| Number of cross sections | 1 |
| Number of shell vertices | 0 |
Log file: CFVR4703.DAT
FINISH ~CFCLEAR,,1 NomFile='CFVR4703' /TITLE, %NomFile%, CALTRANS: Seismic Analysis Z-axis ! ---------------------------------------------------------------------- ! Model definition ! ---------------------------------------------------------------------- ! CivilFEM Setup: Code & Units ~UNITS,,LENG,CM ~UNITS,,TIME,S ~UNITS,,FORC,KP ~CODESEL,,,,,CALTRANS /PREP7 ! Preprocessor ! ---------------------------------------------------------------------- ! Materials: A-42 ~CFMP,1,LIB,STEEL,EA,A42 ! Modify density (Rho = 0) ~CFMP,1,USER ~CFMP,1,DatGen,RHO,,0 ! Element Types ET,1,BEAM4 ! Type 1: 3D Beam ET,2,MASS21 ! Type 2: Mass ! Sections ~SSECLIB,1,1,1,1 !IPE 80 ~BMSHPRO,1,BEAM,1,1,,,4,,0,, ! Nodes L = 10 ! L : Bar length N, 1 N,10,L ! Elements TYPE,1 MAT ,1 REAL,1 EN,1,1,10 EPLOT ! Parameters *GET,AR20,EX,1 ! Ex : Elastic Modulus ~CFGET,AR22,SECTION,1,MECHPROP,A,,2 ! Area : Bar area ~CFGET,AR23,SECTION,1,MECHPROP,IZZ,,2 ! Izz : Moment of inertia ~CFGET,AR24,SECTION,1,MECHPROP,IYY,,2 ! Iyy : Moment of inertia ! Spectrum definition ~DEFSPEC,ALL,0.3,D3,0,5,1 pi = 3.141592654 ! ---------------------------------------------------------------------- ! DATA CHECK ! ---------------------------------------------------------------------- ! Data comparision number NComp = 40 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 *DO,ARG1,1,20 /PREP7 ~CFGET,AR26,SEISM,,SPEC,TH,,ARG1,1 ! Period ! Labels LABEL(ARG1,1) = 'Sa(%ARG1%)z' LABEL(20+ARG1,1) = 'Sa(%ARG1%)z' AR25=12*AR20*AR24/L**3 ! Bending rigidity around Y axis AR27=AR25*(AR26/(2*pi))**2 ! Mass applied at end R,2,0,0,AR27 TYPE,2 MAT, 1 REAL,2 EN,2,10 FINISH /SOLU ! Solution ! --------------------------------------------------------------------- ! Displacements D,1,,,,,,ALL D,10,,,,,UX,UY,,ROTX,ROTY,ROTZ ~MODLSOL,1 ~CMBMOD,NONE,NONE,HORIZONT,0,0.0001 ! Query results *GET,ARG5,NODE,10,U,Z ! Correct values VALUE(20-ARG1+1,1)=ARG5*AR25/AR27 ! Acceleration ! Obtained values ~CFGET,VALUE(20-ARG1+1,2),SEISM,,SPEC,SDH,,ARG1,1 ! Y components of linear horizontal spectrum ~CFGET,VALUE(40-ARG1+1,2),SEISM,,SPEC,SDH,,ARG1,1 ! Y components of linear horizontal spectrum ! CivilFEM gives the spectrum Normalized by gravity. ! To compare it must be changed to acceleration user units. VALUE(20-ARG1+1,2) = VALUE(20-ARG1+1,2)*981 VALUE(40-ARG1+1,2) = VALUE(40-ARG1+1,2)*981 /PREP7 EDELE,2 *ENDDO ! Correct values ! ---------------------------------------------------------------------- VALUE(40,1) = 111.6378 VALUE(39,1) = 169.6820898 VALUE(38,1) = 294.0754896 VALUE(37,1) = 414.3172003 VALUE(36,1) = 624.8630587 VALUE(35,1) = 742.0631943 VALUE(34,1) = 880.1301549 VALUE(33,1) = 933.5277679 VALUE(32,1) = 959.5293425 VALUE(31,1) = 956.6018818 VALUE(30,1) = 939.8189912 VALUE(29,1) = 908.7721056 VALUE(28,1) = 866.6046554 VALUE(27,1) = 796.5389894 VALUE(26,1) = 714.2959007 VALUE(25,1) = 606.7434844 VALUE(24,1) = 482.0756402 VALUE(23,1) = 360.8018471 VALUE(22,1) = 358.9328969 VALUE(21,1) = 360.4725265 ! Warning and error tolerances ! ---------------------------------------------------------------------- *DO,II,1,NComp TOLER(II, 1)= 0.1 $ TOLER(II, 2)= 0.1 *ENDDO ! ---------------------------------------------------------------------- ! Results Comparison ! ---------------------------------------------------------------------- COMPARA.MAC |
Results
| Label | Target | CivilFEM | Ratio | Tolerance |
| Sa(1)z | 360.52 | 360.52 | 1.000 | 0.1 |
| Sa(2)z | 358.95 | 358.95 | 1.000 | 0.1 |
| Sa(3)z | 360.81 | 360.81 | 1.000 | 0.1 |
| Sa(4)z | 482.06 | 482.06 | 1.000 | 0.1 |
| Sa(5)z | 606.75 | 606.75 | 1.000 | 0.1 |
| Sa(6)z | 714.26 | 714.27 | 1.000 | 0.1 |
| Sa(7)z | 796.57 | 796.57 | 1.000 | 0.1 |
| Sa(8)z | 866.62 | 866.62 | 1.000 | 0.1 |
| Sa(9)z | 908.8 | 908.8 | 1.000 | 0.1 |
| Sa(10)z | 939.8 | 939.8 | 1.000 | 0.1 |
| Sa(11)z | 956.57 | 956.57 | 1.000 | 0.1 |
| Sa(12)z | 959.52 | 959.52 | 1.000 | 0.1 |
| Sa(13)z | 933.52 | 933.52 | 1.000 | 0.1 |
| Sa(14)z | 880.15 | 880.15 | 1.000 | 0.1 |
| Sa(15)z | 742.03 | 742.03 | 1.000 | 0.1 |
| Sa(16)z | 624.9 | 624.9 | 1.000 | 0.1 |
| Sa(17)z | 414.28 | 414.28 | 1.000 | 0.1 |
| Sa(18)z | 294.1 | 294.1 | 1.000 | 0.1 |
| Sa(19)z | 169.71 | 169.71 | 1.000 | 0.1 |
| Sa(20)z | 111.64 | 111.64 | 1.000 | 0.1 |
| Sa(1)z | 360.47 | 360.52 | 1.000 | 0.1 |
| Sa(2)z | 358.93 | 358.95 | 1.000 | 0.1 |
| Sa(3)z | 360.8 | 360.81 | 1.000 | 0.1 |
| Sa(4)z | 482.08 | 482.06 | 1.000 | 0.1 |
| Sa(5)z | 606.74 | 606.75 | 1.000 | 0.1 |
| Sa(6)z | 714.3 | 714.27 | 1.000 | 0.1 |
| Sa(7)z | 796.54 | 796.57 | 1.000 | 0.1 |
| Sa(8)z | 866.6 | 866.62 | 1.000 | 0.1 |
| Sa(9)z | 908.77 | 908.8 | 1.000 | 0.1 |
| Sa(10)z | 939.82 | 939.8 | 1.000 | 0.1 |
| Sa(11)z | 956.6 | 956.57 | 1.000 | 0.1 |
| Sa(12)z | 959.53 | 959.52 | 1.000 | 0.1 |
| Sa(13)z | 933.53 | 933.52 | 1.000 | 0.1 |
| Sa(14)z | 880.13 | 880.15 | 1.000 | 0.1 |
| Sa(15)z | 742.06 | 742.03 | 1.000 | 0.1 |
| Sa(16)z | 624.86 | 624.9 | 1.000 | 0.1 |
| Sa(17)z | 414.32 | 414.28 | 1.000 | 0.1 |
| Sa(18)z | 294.08 | 294.1 | 1.000 | 0.1 |
| Sa(19)z | 169.68 | 169.71 | 1.000 | 0.1 |
| Sa(20)z | 111.64 | 111.64 | 1.000 | 0.1 |
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