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CFVR0843 - Combinations with several coordinate systems

Example to check the combinations module with different coordinate systems

This example checks the functionality of the combinations module when used with different coordinate systems.
The model is a simple three spans beam with a rectangular section (1.0m x 2.0m). The spans are 7m, 9m and 7m long and are meshed with 1m size elements .
The load cases are:

  • Load Steps 1 to 23: Concentrated Load of 600kN(Tandem System) at each node.
  • Load Steps 24 to 45: Uniformly Distributed Load (4 kN/m2) at each element.

The combination rules defined are:
  • Combination rule 1: Incompatible. Load steps 1 to 23 [(2.0 or 3.0)*H1+(1.0 or 2.0)*H2]
  • Combination rule 2: Compatible. Load steps 24 to 45
  • Combination rule 3: Addition of Combination 1 and Combination 2

Element types used in the model: MESH200, BEAM54

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
Beam
Beam & Shell Properties
Cross Section
Combinations

Model Statistics
Number of elements 22
Number of nodes 23
Number of civil materials 1
Number of cross sections 1
Number of shell vertices 0

Log file: CFVR0843.DAT


! PESCRIPTION:
   FINISH
  ~CFCLEAR,,1 
 AnsLic='ansys'
    /TITLE, Combinations with several coordinate systems
   NomFile='CFVR0843'

  ! CivilFEM Setup: Code & Units
  ~UNITS,,LENG,M
  ~UNITS,,TIME,S
  ~UNITS,,FORC,KN
  ~CODESEL,EC3,EC2,,,EC8-94

  /PREP7
  ! Preprocessor
  ! --------------------------------------------------
  ! Materials
  ~CFMP,1,LIB,CONCRETE,EC2,C35/45 ! Mat 1: C35/45
  ! Element Types
  ET,1,200,6
  *GET,VERSION,ACTIVE,,REV
  *IF,VERSION,GE,22.2,THEN
  	ET,2,BEAM3        ! BEAM 54 no longer supported
  *ELSE
  	ET,2,BEAM54
  *ENDIF

  ! Keypoints
  K,1,-3.55,0
  K,2,-3.55,-0.2
  K,3,-2,-0.4
  K,4,-1.75,-1.2
  K,5,1.75,-1.2
  K,6,   2,-0.4
  K,7,3.55,-0.1
  K,8,3.55,0
  A,1,2,3,4,5,6,7,8             ! Create area through points
  CYL4,-1.1,-0.6,0.4            ! Create circle
  AGEN,3,2, , ,1.1, , ,4,0      ! Copy circle
  ASBA,1,2                      ! Subtract areas
  ASBA,5,3
  ASBA,1,4
  ! Attributes
  MAT,1
  TYPE,1
  SMRT,6
  AMESH,ALL
  LOCAL,11,0,0,0,0, , ,-90
  ~SEC2DIN,1,11                 ! Import section
  *IF,VERSION,GE,22.2,THEN
    ~BMSHPRO,1,BEAM,1,1,,,3,1,0, ! Real constant
  *ELSE
    ~BMSHPRO,1,BEAM,1,1,,,54,1,0, ! Real constant
  *ENDIF

  ! Nodes
  CSYS,0
  ACLEAR,2                      ! Delete mesh
  ADELE,2, , ,1                 ! Delete areas & bellow
  N,1,0,0
  N,7,7,0,0
  N,16,7+9,0,0
  N,23,7+9+7,0,
  FILL,1,7
  FILL,7,16
  FILL,16,23
  ! Elements
  TYPE,2                        ! Beam 54 element
  E,1,2
  EGEN,22,1,1
  EPLOT

  /SOLU
  ! Solution

  ! Displacements
  D,1,UX
  D,1,UY
  D,7,UY
  D,16,UY
  D,23,UY

  ! Load Steps
  ! Load Steps 1 to 23: Concentrated Load = 600kN(Tandem System) at each node
   *DO,INODE,1,23    ! Loop on nodes
     F,INODE,FY,-600 ! Apply load
     SOLVE           ! Solve
     FDELE,ALL,ALL   ! Delete Load
   *ENDDO
  ! Load Steps 24 to 45: Uniformly Distributed Load (4 kN/m2) at each element
   *DO,IELEM,1,22
     SFBEAM,IELEM,1,PRES,4.0*7.1,4.0*7.1 ! Apply Load
     SOLVE                               ! Solve
     SFEDELE,ALL,ALL,ALL                 ! Delete Load
   *ENDDO
  /POST1
  ! Postprocessor
  ! CivilFEM Combinations: Define Targets
   ~TRGDEF,1,BEAM ,M,Z,MAX   ! 1 : Maximum bending moment MZ
   ~TRGDEF,2,CROSS,M,Z,MAX   ! 2 : Maximum bending moment MZ (Cross section)
  ! CivilFEM Combinations: Define Combination Rules
    ! Combination Rule No.1: Tandem System 600 kN
       /TITLE,Tandem System 600 kN
       ~CMBDEF,1,INCOMPAT,23
       ~STSTDEF,1,1,LSTEP,1,,23,1,1
    ! Combination Rule No.2: Uniformly Distributed Load
        /TITLE,Uniformly Distributed Load
       ~CMBDEF,2,COMPATIB,22
       ~STSTDEF,2,1,LSTEP,24,,22,1,1
    ! Combination Rule No.3: Road Traffic Actions (TS + UDL)
        /TITLE,Road Traffic Actions
       ~CMBDEF,3,ADD,2
       ~STSTDEF,3,1,CMB,1    ! Tandem System 600 kN
       ~STSTDEF,3,2,CMB,2    ! Uniformly Distributed Load
       ~STSTCFT,3,1, 1.00    ! Coefficient for TS  = 1.00
       ~STSTCFT,3,2, 1.00    ! Coefficient for UDL = 1.00
  ! CivilFEM Combinations: Do Combinations
    ~COMBINE,
    ~CMBDAT,2   ! Point to combined results
  ! CivilFEM Combinations: Read Results
    ! Minimum Bending Moment Z
      ~CMB,3,,,,,1              ! Read Combined Result
      ETABLE,MZ_i,SMISC,  6     ! ANSYS Etable for MZ_i
      ETABLE,MZ_j,SMISC,  12    ! ANSYS Etable for MZ_j
      PLLS,MZ_i,MZ_j,-3         ! Plot ANSYS MZ (optional scale factor = -3)
    ! Maximum Bending Moment Z
      ~CMB,3,,,,,2            ! Read Combined Result
      ~PLLSFOR,M,Z,-3         ! Plot CivilFEM MZ (optional scale factor = -3)
  ! Inquire Loads to Obtain Maximum Bending Moment Z at Element 15, Node 16
    ~CMBINQ,3,BEAM,M,Z,MAX,16,15,2,1   ! Recursive & Include List Results

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp = 9
  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

! Correct values
!--------------------------------------------------------------------------------------
  VALUE( 1,1) = -456.765217
  VALUE( 2,1) = -391.739614
  VALUE( 3,1) = -326.71401
  VALUE( 4,1) = -261.688406
  VALUE( 5,1) = -196.662802
  VALUE( 6,1) = -131.637198
  VALUE( 7,1) = -66.6115942
  VALUE( 8,1) = -1.58599034
  VALUE( 9,1) =  63.4396135

  ~CFGET,VALUE( 1,2),ELEMENT,7,FORCE,MZ,I
  ~CFGET,VALUE( 2,2),ELEMENT,8,FORCE,MZ,I
  ~CFGET,VALUE( 3,2),ELEMENT,9,FORCE,MZ,I
  ~CFGET,VALUE( 4,2),ELEMENT,10,FORCE,MZ,I
  ~CFGET,VALUE( 5,2),ELEMENT,11,FORCE,MZ,I
  ~CFGET,VALUE( 6,2),ELEMENT,12,FORCE,MZ,I
  ~CFGET,VALUE( 7,2),ELEMENT,13,FORCE,MZ,I
  ~CFGET,VALUE( 8,2),ELEMENT,14,FORCE,MZ,I
  ~CFGET,VALUE( 9,2),ELEMENT,15,FORCE,MZ,I

! Labels
!--------------------------------------------------------------------------------------
  LABEL( 1) ='TEST1'
  LABEL( 2) ='TEST2'
  LABEL( 3) ='TEST3'
  LABEL( 4) ='TEST4'
  LABEL( 5) ='TEST5'
  LABEL( 6) ='TEST6'
  LABEL( 7) ='TEST7'
  LABEL( 8) ='TEST8'
  LABEL( 9) ='TEST9'

! Warning and error tolerances
  TOLER( 1, 1)= 1E-5       $   TOLER( 1, 2)= 1E-4
  TOLER( 2, 1)= 1E-5       $   TOLER( 2, 2)= 1E-4
  TOLER( 3, 1)= 1E-5       $   TOLER( 3, 2)= 1E-4
  TOLER( 4, 1)= 1E-5       $   TOLER( 4, 2)= 1E-4
  TOLER( 5, 1)= 1E-5       $   TOLER( 5, 2)= 1E-4
  TOLER( 6, 1)= 1E-1       $   TOLER( 6, 2)= 1E+0
  TOLER( 7, 1)= 1E+0       $   TOLER( 7, 2)= 1E+1
  TOLER( 8, 1)= 1E-5       $   TOLER( 8, 2)= 1E-4
  TOLER( 9, 1)= 1E-5       $   TOLER( 9, 2)= 1E-4

!--------------------------------------------------------------------------------------
! Results comparison
!--------------------------------------------------------------------------------------
  COMPARA.MAC

Results

LabelTargetCivilFEMRatioTolerance
TEST1 -456.77 -456.771.000 0.0001
TEST2 -391.74 -391.741.000 0.0001
TEST3 -326.71 -326.711.000 0.0001
TEST4 -261.69 -261.691.000 0.0001
TEST5 -196.66 -196.661.000 0.0001
TEST6 -131.64 -131.641.000 1
TEST7 -66.612 -66.6121.000 10
TEST8 -1.586 -1.5861.000 0.0001
TEST9 63.44 63.441.000 0.0001


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