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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:
Geotechnical Module
Bridges and Civil Non Linearities Module
Advanced Prestressed Concrete Module

The example can be launched on an educational license.
KEYWORDS
Seismic
CALTRANS

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

LabelTargetCivilFEMRatioTolerance
Sa(1)z 360.52 360.521.000 0.1
Sa(2)z 358.95 358.951.000 0.1
Sa(3)z 360.81 360.811.000 0.1
Sa(4)z 482.06 482.061.000 0.1
Sa(5)z 606.75 606.751.000 0.1
Sa(6)z 714.26 714.271.000 0.1
Sa(7)z 796.57 796.571.000 0.1
Sa(8)z 866.62 866.621.000 0.1
Sa(9)z 908.8 908.81.000 0.1
Sa(10)z 939.8 939.81.000 0.1
Sa(11)z 956.57 956.571.000 0.1
Sa(12)z 959.52 959.521.000 0.1
Sa(13)z 933.52 933.521.000 0.1
Sa(14)z 880.15 880.151.000 0.1
Sa(15)z 742.03 742.031.000 0.1
Sa(16)z 624.9 624.91.000 0.1
Sa(17)z 414.28 414.281.000 0.1
Sa(18)z 294.1 294.11.000 0.1
Sa(19)z 169.71 169.711.000 0.1
Sa(20)z 111.64 111.641.000 0.1
Sa(1)z 360.47 360.521.000 0.1
Sa(2)z 358.93 358.951.000 0.1
Sa(3)z 360.8 360.811.000 0.1
Sa(4)z 482.08 482.061.000 0.1
Sa(5)z 606.74 606.751.000 0.1
Sa(6)z 714.3 714.271.000 0.1
Sa(7)z 796.54 796.571.000 0.1
Sa(8)z 866.6 866.621.000 0.1
Sa(9)z 908.77 908.81.000 0.1
Sa(10)z 939.82 939.81.000 0.1
Sa(11)z 956.6 956.571.000 0.1
Sa(12)z 959.53 959.521.000 0.1
Sa(13)z 933.53 933.521.000 0.1
Sa(14)z 880.13 880.151.000 0.1
Sa(15)z 742.06 742.031.000 0.1
Sa(16)z 624.86 624.91.000 0.1
Sa(17)z 414.32 414.281.000 0.1
Sa(18)z 294.08 294.11.000 0.1
Sa(19)z 169.68 169.711.000 0.1
Sa(20)z 111.64 111.641.000 0.1


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