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CFVR3301 - Two Retaining Walls with a joint

Two retaining walls with a joint between both.

The example models two retaining walls separated 100.9 meters, which are built at the same time. The soil between them is then excavated and an anchorage is placed between the walls during the excavation.
The terrain is considered to be discontinuous from one wall to the other. The terrain corresponding to the first wall (terrain number 10) has no water, its surface is at at level 17.0 m, and it has six layers with the following properties:

  • Layer 1. Thickness 6 m. Soil type SC with a dry specific weight of 11200 N/m2. Rankine pressure coefficients are used for this layer.
  • Layer 2. Thickness 16 m. Soil type GW with a dry specific weight of 10200 N/m2. Coulomb pressure coefficients are used for this layer.
  • Layer 3. Thickness 3 m. Soil type ML with a dry specific weight of 12600 N/m2. Rankine pressure coefficients are used for this layer.
  • Layer 4. Thickness 5 m. Soil type PL with a dry specific weight of 9000 N/m2. Coulomb pressure coefficients are used for this layer.
  • Layer 5. Thickness 8 m. Soil type OH with a dry specific weight of 12600 N/m2. Coulomb pressure coefficients are used for this layer.
  • Layer 6. Thickness 20 m. Soil type OL with a dry specific weight of 12600 N/m2. Coulomb pressure coefficients are used for this layer.
The terrain corresponding to the second wall (terrain number 15) has its water level at -22.5 m from the surface, placed at level 0.0 m, and three layers with the following properties:
  • Layer 1. Thickness 16 m. Soil type SC with a dry specific weight of 11200 N/m2. Rankine pressure coefficients are used for this layer.
  • Layer 2. Thickness 12 m. Soil type ML with a dry specific weight of 12600 N/m2. Coulomb pressure coefficients are used for this layer.
  • Layer 3. Thickness 20 m. Soil type OH with a dry specific weight of 12600 N/m2. Rankine pressure coefficients are used for this layer.
The walls are defined with a squared concrete section (1.0 m x 1.0 m) and different reinforcement throughout its height. Wall 1 has its top at level 20 m, and wall 2 has its top located at level 0 m.
The construction process is defined as follows:
  • Step 1. Terrain on wall 1 is excavated to level 16 m.
  • Step 2. Terrain on wall 1 is excavated to level 12 m. Terrain on wall 2 is excavated to level -5 m. Restrains are placed on wall 1 (level -8 m) and wall 2 (level -7.5 m) restoring the wall's shape to its initial location. An anchorage is also placed on wall 1 (HE 100 A equivalent section at level 0, 10 meters length and 160º from the horizontal).
  • Step 3. Terrain on wall 1 is excavated to level 8 m. Terrain on wall 2 is excavated to level -10 m. A joint (HE 100 A) is placed between the two walls, at level 10 m on wall 1 and -5 m on wall 2.
  • Step 4. Terrain on wall 1 is excavated to level 4 m. Terrain on wall 2 is excavated to level -15 m.
  • Step 5. Terrain on wall 1 is excavated to level 0 m.
  • Step 6. Terrain on wall 1 is excavated to level -4 m. Terrain on wall 2 is excavated to level -20 m.
  • Step 7. Terrain on wall 1 is excavated to level -8 m.

Element types used in the model: LINK1, BEAM3, 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
Geotechnics
Retaining Walls
Terrain

Model Statistics
Number of elements 228
Number of nodes 229
Number of civil materials 10
Number of cross sections 6
Number of shell vertices 0

Log file: CFVR3301.DAT


  FINISH
  ~CFCLEAR,,1
  ~CFACTIV,GETC,Y
  NomFile='CFVR3301'
  /TITLE, %NomFile%, Two Retaining Walls with a joint

! -------------------------------------------------------------------------------------
! Initial data
! -------------------------------------------------------------------------------------
! CivilFEM SETUP
  ~UNITS,SI
  ~CODESEL,EC3-92,EHE-98,EHE-98,,EC8-04

/PREP7
*GET,VERSION,ACTIVE,,REV

! 1. ELEMENT TYPES
! --------------------------------------------------
ET,1,BEAM3
ET,2,LINK1
*IF,VERSION,GE,22.2,THEN
  ET,10,BEAM3
*ELSE
  ET,10,BEAM54
*ENDIF

! 2. MATERIALS
! --------------------------------------------------
! Steel
~CFMP,1,LIB,STEEL,UNE,S 235
~CFMP,21,LIB,STEEL,UNE,S 235
! Reinforced concrete
~CFMP,12,LIB,CONCRETE,EC2,C16/20
~CFMP,23,LIB,REINF,EC2,S400
! Soils and rocks
~CFMP,101,LIB,SOIL,,SC
~CFMP,102,LIB,SOIL,,GW
~CFMP,103,LIB,SOIL,,ML
~CFMP,104,LIB,SOIL,,PL
~CFMP,105,LIB,SOIL,,OH
~CFMP,106,LIB,SOIL,,OL
~CFMP,101,Soil,GAMD,,11200 ! SC
~CFMP,102,Soil,GAMD,,10200 ! GW
~CFMP,103,Soil,GAMD,,12600 ! ML
~CFMP,104,Soil,GAMD,,9000  ! PL
~CFMP,105,Soil,GAMD,,12600 ! OH
~CFMP,106,Soil,GAMD,,12600 ! OL

! 3. CROSS SECTIONS
! --------------------------------------------------
~SSECLIB,1,1,5,1   !HE 100 A
~CSECDMS,3,REC,12,1,1,0,0,0,0,0,0,2,23
~SECMDF,3,NAME,,,Section 1
~CSGEN,1,5,3,3,1
~RNFMDF,4,RBDEF,RKEY,0
~RNFMDF,4,1,AST,0.002
~RNFMDF,4,2,AST,0.002
~SECMDF,4,NAME,,,Section 2
~RNFMDF,5,RBDEF,RKEY,0
~RNFMDF,5,1,AST,1.8E-3
~RNFMDF,5,2,AST,1.8E-3
~SECMDF,5,NAME,,,Section 3
~RNFMDF,6,RBDEF,RKEY,0
~RNFMDF,6,1,AST,1.6E-3
~RNFMDF,6,2,AST,1.6E-3
~SECMDF,6,NAME,,,Section 4
~RNFMDF,7,RBDEF,RKEY,0
~RNFMDF,7,1,AST,1.4E-3
~RNFMDF,7,2,AST,1.4E-3
~SECMDF,7,NAME,,,Section 5

! 4. BEAM & SHELL PROPERTIES
! --------------------------------------------------
! Joint
~BMSHPRO, 1,BEAM,1,1,,,3,1,0,,Beam 1
! Anchor
~BMSHPRO,42,BEAM,1,1,,,1,1,0,,Beam 2
! Wall
*IF,VERSION,GE,22.2,THEN
  ~BMSHPRO,21,BEAM,3,3,,,3,1,0,,Wall 1st section
  ~BMSHPRO,22,BEAM,4,4,,,3,1,0,,Wall 2nd section
  ~BMSHPRO,23,BEAM,5,5,,,3,1,0,,Wall 3rd section
  ~BMSHPRO,24,BEAM,6,6,,,3,1,0,,Wall 4th section
  ~BMSHPRO,25,BEAM,7,7,,,3,1,0,,Wall 5th section
*ELSE
  ~BMSHPRO,21,BEAM,3,3,,,54,1,0,,Wall 1st section
  ~BMSHPRO,22,BEAM,4,4,,,54,1,0,,Wall 2nd section
  ~BMSHPRO,23,BEAM,5,5,,,54,1,0,,Wall 3rd section
  ~BMSHPRO,24,BEAM,6,6,,,54,1,0,,Wall 4th section
  ~BMSHPRO,25,BEAM,7,7,,,54,1,0,,Wall 5th section
*ENDIF

! 5. TERRAINS
! --------------------------------------------------
  ~TERDEF,  10,NEW, 6, 0, Y, 17
  ~TERDEF,  10,LAYER, 1,101,  6, 0,  DB
  ~TERDEF,  10,LAYER, 2,102, 16, 0,CLMB
  ~TERDEF,  10,LAYER, 3,103,  3, 0,  DB
  ~TERDEF,  10,LAYER, 4,104,  5, 0,CLMB
  ~TERDEF,  10,LAYER, 5,105,  8, 0,CLMB
  ~TERDEF,  10,LAYER, 6,106, 20, 0,CLMB
  ~TERDEF,  15,NEW, 3, 0, Y, 0, 0,0, 1,-22.5
  ~TERDEF,  15,LAYER, 1,101, 16, 0,  DB
  ~TERDEF,  15,LAYER, 2,103, 12, 0,CLMB
  ~TERDEF,  15,LAYER, 3,105, 20, 0,  DB

! 6. WALL
! --------------------------------------------------
  ~WALLINI, 10, 7, 0, 0, 10, 5, 20, 10, 100.9, 15, 2, 0, 15

  ~WALLGEN, 1, 1, 10, 12, 10, 21
  ~WALLGEN, 1, 2,  8, 12, 10, 22
  ~WALLGEN, 1, 3, 10, 12, 10, 23
  ~WALLGEN, 1, 4,  9, 12, 10, 24
  ~WALLGEN, 1, 5, 10, 12, 10, 25
  ~WALLGEN, 2, 1, 15, 12, 10, 21
  ~WALLGEN, 2, 2, 20, 12, 10, 22

  ~WALLSTP, 1, 1,  16
  ~WALLSTP, 2, 1,  12
  ~WALLSTP, 3, 1,   8
  ~WALLSTP, 4, 1,   4
  ~WALLSTP, 5, 1,   0
  ~WALLSTP, 6, 1,  -4
  ~WALLSTP, 7, 1,  -8
  ~WALLSTP, 2, 2,  -5
  ~WALLSTP, 3, 2, -10
  ~WALLSTP, 4, 2, -15
  ~WALLSTP, 6, 2, -20

  ~WALLANC, 2, 1,   -8, 0
  ~WALLANC, 2, 2, -7.5, 0
  ~WALLANC, 2, 1,    0, 1, 160, 10.0, 1, 2, 42

  ~WALLJNT, 3, 10, -5, 21, 1, 1

  ~WALLMOD, 6

  /PBC,ALL, ,1
  /SHRINK,0.1

! 7. SOLUTION
! --------------------------------------------------
/SOLU
  D,7,ALL,0
  D,9,ALL,0
  NEQIT,150
  ~WALLSOL, ALL

! 8. RESULTS
! --------------------------------------------------
/POST1

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
  NComp    = 42
  NComp_ch = 0

! Marix 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)  = 'N_Node'
  LABEL( 2)  = 'N_Elem'
  LABEL( 3)  = 'UX_1'
  LABEL( 4)  = 'UY_1'
  LABEL( 5)  = 'UX_2'
  LABEL( 6)  = 'UY_2'
  LABEL( 7)  = 'UX_4'
  LABEL( 8)  = 'UY_4'
  LABEL( 9)  = 'UX_7'
  LABEL(10)  = 'UY_7'
  LABEL(11)  = 'UX_9'
  LABEL(12)  = 'UY_9'
  LABEL(13)  = 'UX_20'
  LABEL(14)  = 'UY_20'
  LABEL(15)  = 'N_Node'
  LABEL(16)  = 'N_Elem'
  LABEL(17)  = 'UX_1'
  LABEL(18)  = 'UY_1'
  LABEL(19)  = 'UX_2'
  LABEL(20)  = 'UY_2'
  LABEL(21)  = 'UX_4'
  LABEL(22)  = 'UY_4'
  LABEL(23)  = 'UX_7'
  LABEL(24)  = 'UY_7'
  LABEL(25)  = 'UX_9'
  LABEL(26)  = 'UY_9'
  LABEL(27)  = 'UX_20'
  LABEL(28)  = 'UY_20'
  LABEL(29)  = 'N_Node'
  LABEL(30)  = 'N_Elem'
  LABEL(31)  = 'UX_1'
  LABEL(32)  = 'UY_1'
  LABEL(33)  = 'UX_2'
  LABEL(34)  = 'UY_2'
  LABEL(35)  = 'UX_4'
  LABEL(36)  = 'UY_4'
  LABEL(37)  = 'UX_7'
  LABEL(38)  = 'UY_7'
  LABEL(39)  = 'UX_9'
  LABEL(40)  = 'UY_9'
  LABEL(41)  = 'UX_20'
  LABEL(42)  = 'UY_20'

! Correct data, obtained data
!--------------------------------------------------------------------------------------
! Load Step 1
~CFSET,,1
   VALUE( 1,1) =  229           $  *GET,VALUE( 1,2),NODE,0,COUNT     ! N_Node
   VALUE( 2,1) =  228           $  *GET,VALUE( 2,2),ELEM,0,COUNT     ! N_Elem
   VALUE( 3,1) =  6.0653E-3     $  *GET,VALUE( 3,2),NODE, 1,U,X      ! UX_1
   VALUE( 4,1) =  0             $  *GET,VALUE( 4,2),NODE, 1,U,Y      ! UY_1
   VALUE( 5,1) =  0             $  *GET,VALUE( 5,2),NODE, 2,U,X      ! UX_2
   VALUE( 6,1) =  0             $  *GET,VALUE( 6,2),NODE, 2,U,Y      ! UY_2
   VALUE( 7,1) =  1.3601E-4     $  *GET,VALUE( 7,2),NODE, 4,U,X      ! UX_4
   VALUE( 8,1) =  0             $  *GET,VALUE( 8,2),NODE, 4,U,Y      ! UY_4
   VALUE( 9,1) =  0             $  *GET,VALUE( 9,2),NODE, 7,U,X      ! UX_7
   VALUE(10,1) =  0             $  *GET,VALUE(10,2),NODE, 7,U,Y      ! UY_7
   VALUE(11,1) =  0             $  *GET,VALUE(11,2),NODE, 9,U,X      ! UX_9
   VALUE(12,1) =  0             $  *GET,VALUE(12,2),NODE, 9,U,Y      ! UY_9
   VALUE(13,1) =  3.80125E-3    $  *GET,VALUE(13,2),NODE,20,U,X      ! UX_20
   VALUE(14,1) =  0             $  *GET,VALUE(14,2),NODE,20,U,Y      ! UY_20

! Load Step 5
~CFSET,,5
   VALUE(15,1) =  229           $  *GET,VALUE(15,2),NODE,0,COUNT     ! N_Node
   VALUE(16,1) =  228           $  *GET,VALUE(16,2),ELEM,0,COUNT     ! N_Elem
   VALUE(17,1) =  8.1462E-1     $  *GET,VALUE(17,2),NODE, 1,U,X      ! UX_1
   VALUE(18,1) =  5.8088E-4     $  *GET,VALUE(18,2),NODE, 1,U,Y      ! UY_1
   VALUE(19,1) =  4.7406E-4     $  *GET,VALUE(19,2),NODE, 2,U,X      ! UX_2
   VALUE(20,1) = -2.7204E-5     $  *GET,VALUE(20,2),NODE, 2,U,Y      ! UY_2
   VALUE(21,1) =  1.4175E-1     $  *GET,VALUE(21,2),NODE, 4,U,X      ! UX_4
   VALUE(22,1) =  4.9376E-4     $  *GET,VALUE(22,2),NODE, 4,U,Y      ! UY_4
   VALUE(23,1) =  0             $  *GET,VALUE(23,2),NODE, 7,U,X      ! UX_7
   VALUE(24,1) =  0             $  *GET,VALUE(24,2),NODE, 7,U,Y      ! UY_7
   VALUE(25,1) =  0             $  *GET,VALUE(25,2),NODE, 9,U,X      ! UX_9
   VALUE(26,1) =  0             $  *GET,VALUE(26,2),NODE, 9,U,Y      ! UY_9
   VALUE(27,1) =  0.69728       $  *GET,VALUE(27,2),NODE,20,U,X      ! UX_20
   VALUE(28,1) =  5.8082E-4     $  *GET,VALUE(28,2),NODE,20,U,Y      ! UY_20

! Load Step 7
~CFSET,,7
   VALUE(29,1) =  229           $  *GET,VALUE(29,2),NODE,0,COUNT     ! N_Node
   VALUE(30,1) =  228           $  *GET,VALUE(30,2),ELEM,0,COUNT     ! N_Elem
   VALUE(31,1) =  0.808827      $  *GET,VALUE(31,2),NODE, 1,U,X      ! UX_1
   VALUE(32,1) =  7.17465E-4    $  *GET,VALUE(32,2),NODE, 1,U,Y      ! UY_1
   VALUE(33,1) =  7.18868E-4    $  *GET,VALUE(33,2),NODE, 2,U,X      ! UX_2
   VALUE(34,1) = -2.80662E-5    $  *GET,VALUE(34,2),NODE, 2,U,Y      ! UY_2
   VALUE(35,1) =  1.68099E-1    $  *GET,VALUE(35,2),NODE, 4,U,X      ! UX_4
   VALUE(36,1) =  6.27654E-4    $  *GET,VALUE(36,2),NODE, 4,U,Y      ! UY_4
   VALUE(37,1) =  0             $  *GET,VALUE(37,2),NODE, 7,U,X      ! UX_7
   VALUE(38,1) =  0             $  *GET,VALUE(38,2),NODE, 7,U,Y      ! UY_7
   VALUE(39,1) =  0             $  *GET,VALUE(39,2),NODE, 9,U,X      ! UX_9
   VALUE(40,1) =  0             $  *GET,VALUE(40,2),NODE, 9,U,Y      ! UY_9
   VALUE(41,1) =  0.697241      $  *GET,VALUE(41,2),NODE,20,U,X      ! UX_20
   VALUE(42,1) =  7.17465E-4    $  *GET,VALUE(42,2),NODE,20,U,Y      ! UY_20

! Warning and error tolerances
  TOLER(  1,1) = 0     $  TOLER(  1,2) = 0
  TOLER(  2,1) = 0     $  TOLER(  2,2) = 0
  TOLER(  3,1) = .5E-3 $  TOLER(  3,2) = .5E-3
  TOLER(  4,1) = 1E-8  $  TOLER(  4,2) = 1E-8
  TOLER(  5,1) = 1E-8  $  TOLER(  5,2) = 1E-8
  TOLER(  6,1) = 1E-8  $  TOLER(  6,2) = 1E-8
  TOLER(  7,1) = .5E-3 $  TOLER(  7,2) = .5E-3
  TOLER(  8,1) = 1E-8  $  TOLER(  8,2) = 1E-8
  TOLER(  9,1) = 1E-7  $  TOLER(  9,2) = 1E-7
  TOLER( 10,1) = 1E-8  $  TOLER( 10,2) = 1E-8
  TOLER( 11,1) = 1E-8  $  TOLER( 11,2) = 1E-8
  TOLER( 12,1) = 1E-8  $  TOLER( 12,2) = 1E-8
  TOLER( 13,1) = 1E-3  $  TOLER( 13,2) = 1E-3
  TOLER( 14,1) = 1E-8  $  TOLER( 14,2) = 1E-8
  TOLER( 15,1) = 0     $  TOLER( 15,2) = 0
  TOLER( 16,1) = 0     $  TOLER( 16,2) = 0
  TOLER( 17,1) = .5E-2 $  TOLER( 17,2) = .5E-3
  TOLER( 18,1) = 1E-6  $  TOLER( 18,2) = 1E-6
  TOLER( 19,1) = 1E-5  $  TOLER( 19,2) = 1E-5
  TOLER( 20,1) = 1E-7  $  TOLER( 20,2) = 1E-7
  TOLER( 21,1) = 1E-3  $  TOLER( 21,2) = 1E-3
  TOLER( 22,1) = 1E-6  $  TOLER( 22,2) = 1E-6
  TOLER( 23,1) = 1E-7  $  TOLER( 23,2) = 1E-7
  TOLER( 24,1) = 1E-8  $  TOLER( 24,2) = 1E-8
  TOLER( 25,1) = 1E-8  $  TOLER( 25,2) = 1E-8
  TOLER( 26,1) = 1E-8  $  TOLER( 26,2) = 1E-8
  TOLER( 27,1) = 1E-4  $  TOLER( 27,2) = 1E-4
  TOLER( 28,1) = 1E-6  $  TOLER( 28,2) = 1E-6
  TOLER( 29,1) = 0     $  TOLER( 29,2) = 0
  TOLER( 30,1) = 0     $  TOLER( 30,2) = 0
  TOLER( 31,1) = 1E-5  $  TOLER( 31,2) = 1E-5
  TOLER( 32,1) = 1E-8  $  TOLER( 32,2) = 1E-8
  TOLER( 33,1) = 1E-8  $  TOLER( 33,2) = 1E-8
  TOLER( 34,1) = 1E-8  $  TOLER( 34,2) = 1E-8
  TOLER( 35,1) = 2E-6  $  TOLER( 35,2) = 2E-6
  TOLER( 36,1) = 1E-8  $  TOLER( 36,2) = 1E-8
  TOLER( 37,1) = 1E-7  $  TOLER( 37,2) = 1E-7
  TOLER( 38,1) = 1E-8  $  TOLER( 38,2) = 1E-8
  TOLER( 39,1) = 1E-8  $  TOLER( 39,2) = 1E-8
  TOLER( 40,1) = 1E-8  $  TOLER( 40,2) = 1E-8
  TOLER( 41,1) = 2E-6  $  TOLER( 41,2) = 2E-6
  TOLER( 42,1) = 1E-8  $  TOLER( 42,2) = 1E-8

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

Results

LabelTargetCivilFEMRatioTolerance
N_Node 229 2291.000 0
N_Elem 228 2281.000 0
UX_1 0.0060653 0.00618940.980 0.0005
UY_1 0-5.6529e-0160.000 1e-008
UX_2 0-1.0597e-0140.000 1e-008
UY_2 08.8999e-0160.000 1e-008
UX_40.000136010.000136071.000 0.0005
UY_4 0-3.2796e-0160.000 1e-008
UX_7 0 00.000 1e-007
UY_7 0 00.000 1e-008
UX_9 0 00.000 1e-008
UY_9 0 00.000 1e-008
UX_20 0.0038012 0.00387720.980 0.001
UY_20 0-5.6529e-0160.000 1e-008
N_Node 229 2291.000 0
N_Elem 228 2281.000 0
UX_1 0.81462 0.814621.000 0.0005
UY_10.000580880.000580821.000 1e-006
UX_20.000474060.000474061.000 1e-005
UY_2-2.7204e-005-2.7204e-0051.000 1e-007
UX_4 0.14175 0.141751.000 0.001
UY_40.000493760.000493771.000 1e-006
UX_7 0 00.000 1e-007
UY_7 0 00.000 1e-008
UX_9 0 00.000 1e-008
UY_9 0 00.000 1e-008
UX_20 0.69728 0.697281.000 0.0001
UY_200.000580820.000580821.000 1e-006
N_Node 229 2291.000 0
N_Elem 228 2281.000 0
UX_1 0.80883 0.808831.000 1e-005
UY_10.000717470.000717471.000 1e-008
UX_20.000718870.000718871.000 1e-008
UY_2-2.8066e-005-2.8066e-0051.000 1e-008
UX_4 0.1681 0.16811.000 2e-006
UY_40.000627650.000627651.000 1e-008
UX_7 0 00.000 1e-007
UY_7 0 00.000 1e-008
UX_9 0 00.000 1e-008
UY_9 0 00.000 1e-008
UX_20 0.69724 0.697241.000 2e-006
UY_200.000717470.000717471.000 1e-008

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