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CFVR0948 - In-Plane Shear Calculation – ACI 349-01 Wall

Design of reinforcement for in-plane shear and membrane forces

To investigate the design of reinforcement for in-plane shear and membrane forces for ACI 349-01, a simple 5 ft x 25 ft x 1 ft wall model was used.
The 5-element model consists of Shell43 elements. Vertical and lateral loads were applied at nodes 3 and 8.
The wall is restrained at nodes 1 and 2 at the base of the model. Node 1 is restrained in the x, y, and z directions for translation as well as rotation in the x and z directions.
Node 2 is restrained in the y and z directions for translation as well as rotation in the x and z directions.
Check ACI 349-01 Ch.14 (11.3.2.3):If tensile stress exceeds 500 psi, then Vc=0

Element types used in the model: SHELL43

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
Shell
Shell Vertex
Reinforced Concrete
ACI 349

Model Statistics
Number of elements 5
Number of nodes 12
Number of civil materials 2
Number of cross sections 0
Number of shell vertices 1

Log file: CFVR0948.DAT


FINISH
~CFCLEAR,,1
NomFile='CFVR0948'
/TITLE, %NomFile%,In-Plane Shear Calculation, ACI 349-01 Wall

~CODESEL,,ACI349,,,
~UNITS,,LENG,IN 
~UNITS,,FORC,LBF
~UNITS,,PRES,,0 ,uuP
! ~CFCONFG,RESULT,CFSHF,1

!-------------------------------------------------------------------------------
! Model definition
!-------------------------------------------------------------------------------

THK    = 1*12.0 	! shell thickness 
COVER  = 0.8		! cover
WDTH   = 5*12.0		! wall width 
L      = 25*12.0	! wall heigth


/PREP7  
ET,1,SHELL43
~CFMP,1,LIB,CONCRETE,ACI,fc_6000
~CFMP,1,USER
~CFMP,1,ACI_C   ,fc_t    ,,6000 ,7,0,0  
~CFMP,2,LIB,REINF,ACI,fy_60000  

~SHLRNF,1,THK,1,2,COVER						! Bending Reinforcement
! ~SHLSHR, IVTX, MATOP,ASSOP, PHIOP, NXOP, NYOP, SXOP, SYOP, ASSOPX, ASSOPY
~SHLSHR,      1,     2,      ,      ,     ,     ,     ,     , 	! Shear Reinforcement
! ~SHLIPSH,IVTX, MATIP, ASSIPX, ASSIPY		
~SHLIPSH,     1,	 2, 				! In-plane Reinforcement
~BMSHPRO,1,SHELL,1,1,1,1,43,,,,Shell 1

K,1
K,2,    ,,L
K,3,WDTH,,L
K,4,WDTH,,

A,1,2,3,4

TYPE,1
REAL,1
MAT,1

AESIZE,ALL,5*12.0, 
MSHAPE,0,2D 
MSHKEY,1 
AMESH,ALL   
LOCAL,11,0,-10,0,0,-180,-90, ,1,1,
EMODIF,ALL,ESYS,11,		! X Element horizontal, Y Element vertical
CSYS,0
/VIEW,1,,-1 

!-------------------------------------------------------------------------------
! Model resolution
!-------------------------------------------------------------------------------
FINISH
/SOLU

F,2,FX,1400000
F,2,FY,800000
F,2,FZ,400000

F,7,FX,140000
F,7,FY,80000
F,7,FZ,40000

! Node 1 is restrained in x,y,z directions for translation 
! as well as rotation in the x and z directions
D,1, , , , , ,UX,UY,UZ,ROTX,ROTZ,
! Node 2 is restrained in y,z directions for translation 
! as well as rotation in the x and z directions
D,8, , , , , ,UY,UZ,ROTX,ROTZ, , 
ALLSEL
SOLVE

FINISH
/POST1

~CFSET,,1
! Element # 1 is selected for design
ESEL,S,,,1
~DIMCON,SHELL,  IPSHEAR,,,,   1,    , 1	 	! VAL1=1-> Walls non-seismic loads, VAL3=1->Fi=0.85
~DIMCON,SHELL,  IPSHEAR,,,,   2,    , 1	 	! VAL1=2-> Walls seismic loads,     VAL3=1->Fi=0.85
~CHKCON, SHELL, IPSHEAR,,     2,    , 1     ! VAL1=2-> Walls seismic loads,     VAL3=1->Fi=0.85 

!--------------------------------------------------------------------------------------
! DATA CHECK
!--------------------------------------------------------------------------------------
! Data comparison number
NComp = 22
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) = 'NS_VCY'			! ACI 349-01 Ch.14 (11.3.2.3) 
LABEL( 2,1) = 'NS_VCX'   
LABEL( 3,1) = 'NSAIPSSY'		! ACI 349-01 Ch.14 (11.10.9.1)
LABEL( 4,1) = 'NSAIPSSX'
LABEL( 5,1) = 'NSCRT_2X'		! ACI 349-01 Ch.14 (11.10.3)
LABEL( 6,1) = 'NSCRT_2Y'  
LABEL( 7,1) = 'NSCRT_3Y'		! ACI 349-01 Ch.14 (11.10.9.2)
LABEL( 8,1) = 'NSCRT_3X'
LABEL( 9,1) = 'NS_VSY'			
LABEL(10,1) = 'NS_VSX'     
LABEL(11,1) = 'S_VC_Y'			! ACI 349-01 Ch.14 (11.3.2.3) 
LABEL(12,1) = 'S_VC_X'   
LABEL(13,1) = 'S_AIPSSY'		! ACI 349-01 Ch.21 (21.6.5.2)
LABEL(14,1) = 'S_AIPSSX'
LABEL(15,1) = 'S_CRT_2X'		! ACI 349-01 Ch.21 (21.6.5.6)
LABEL(16,1) = 'S_CRT_2Y'  
LABEL(17,1) = 'S_CRT_3Y'		! ACI 349-01 Ch.21 (21.6.2.1)
LABEL(18,1) = 'S_CRT_3X' 
LABEL(19,1) = 'S_VSY'			
LABEL(20,1) = 'S_VSX'   
LABEL(21,1) = 'S_VC_Y'			! ACI 349-01 Ch.14 (11.3.2.3) 
LABEL(22,1) = 'S_VC_X'   
  
! Correct values
~CFGET,Txy_Shell, ELEMENT, 1, FORCE,TXY, I   ! In-plane shear
! Walls non-seismic design
VALUE( 1,1) = 0.0					
VALUE( 2,1) = 0.0
VALUE( 3,1) = 2**100	! CRT_2>1.0
VALUE( 4,1) = 2**100	! CRT_2>1.0
VALUE( 5,1) = ABS(Txy_Shell/6320.71)
VALUE( 6,1) = ABS(Txy_Shell/6320.71)
VALUE( 7,1) = 0.0025/0.0524
VALUE( 8,1) = 0.0025/0.0524
VALUE( 9,1) = 30196.07					
VALUE(10,1) = 30196.07
! Walls seismic design
VALUE(11,1) = 0.0					
VALUE(12,1) = 0.0
VALUE(13,1) = 2**100	! CRT_2>1.0
VALUE(14,1) = 2**100	! CRT_2>1.0
VALUE(15,1) = ABS(Txy_Shell/6320.71)
VALUE(16,1) = ABS(Txy_Shell/6320.71)
VALUE(17,1) = 0.0025/0.0524
VALUE(18,1) = 0.0025/0.0524  
VALUE(19,1) = 30196.07
VALUE(20,1) = 30196.07 
VALUE(21,1) = 0.0					
VALUE(22,1) = 0.0
             
! CivilFEM values     
~CFSET,1	! Walls non-seismic design
~CFGET,VALUE( 1,2), ELEMENT, 1 ,RESULT ,    VC_Y, I	
~CFGET,VALUE( 2,2), ELEMENT, 1 ,RESULT ,    VC_X, I 	
~CFGET,VALUE( 3,2), ELEMENT, 1 ,RESULT , AIPSS_Y, I	
~CFGET,VALUE( 4,2), ELEMENT, 1 ,RESULT , AIPSS_X, I 	  
~CFGET,VALUE( 5,2), ELEMENT, 1 ,RESULT , CRT_2_X, I	
~CFGET,VALUE( 6,2), ELEMENT, 1 ,RESULT , CRT_2_Y, I 	
~CFGET,VALUE( 7,2), ELEMENT, 1 ,RESULT , CRT_3_Y, I 	
~CFGET,VALUE( 8,2), ELEMENT, 1 ,RESULT , CRT_3_X, I 	
~CFGET,VALUE( 9,2), ELEMENT, 1 ,RESULT ,    VS_Y, I	
~CFGET,VALUE(10,2), ELEMENT, 1 ,RESULT ,    VS_X, I

~CFSET,2	! Walls seismic design
~CFGET,VALUE(11,2), ELEMENT, 1 ,RESULT ,    VC_Y, I		
~CFGET,VALUE(12,2), ELEMENT, 1 ,RESULT ,    VC_X, I  	
~CFGET,VALUE(13,2), ELEMENT, 1 ,RESULT , AIPSS_Y, I	
~CFGET,VALUE(14,2), ELEMENT, 1 ,RESULT , AIPSS_X, I 	  
~CFGET,VALUE(15,2), ELEMENT, 1 ,RESULT , CRT_2_X, I	
~CFGET,VALUE(16,2), ELEMENT, 1 ,RESULT , CRT_2_Y, I 	
~CFGET,VALUE(17,2), ELEMENT, 1 ,RESULT , CRT_3_Y, I 	
~CFGET,VALUE(18,2), ELEMENT, 1 ,RESULT , CRT_3_X, I   
~CFGET,VALUE(19,2), ELEMENT, 1 ,RESULT ,    VS_Y, I	
~CFGET,VALUE(20,2), ELEMENT, 1 ,RESULT ,    VS_X, I 

~CFSET,3	! Walls seismic check
~CFGET,VALUE(21,2), ELEMENT, 1 ,RESULT ,    VC_Y, I		
~CFGET,VALUE(22,2), ELEMENT, 1 ,RESULT ,    VC_X, I  

! Warning and error tolerances
TOLER( 1,1)= 1E-2 $ TOLER( 1,2)= 1E-2 
TOLER( 2,1)= 1E-2 $ TOLER( 2,2)= 1E-2 
TOLER( 3,1)= 2E+25$ TOLER( 3,2)= 2E+25	! Not designed
TOLER( 4,1)= 2E+25$ TOLER( 4,2)= 2E+25	! Not designed
TOLER( 5,1)= 1E-2 $ TOLER( 5,2)= 1E-2
TOLER( 6,1)= 1E-2 $ TOLER( 6,2)= 1E-2
TOLER( 7,1)= 1E-3 $ TOLER( 7,2)= 1E-3
TOLER( 8,1)= 1E-3 $ TOLER( 8,2)= 1E-3
TOLER( 9,1)= 1E-2 $ TOLER( 9,2)= 1E-2
TOLER(10,1)= 1E-2 $ TOLER(10,2)= 1E-2
TOLER(11,1)= 1E-2 $ TOLER(11,2)= 1E-2
TOLER(12,1)= 1E-2 $ TOLER(12,2)= 1E-2
TOLER(13,1)= 2E+25$ TOLER(13,2)= 2E+25	! Not designed
TOLER(14,1)= 2E+25$ TOLER(14,2)= 2E+25	! Not designed
TOLER(15,1)= 1E-2 $ TOLER(15,2)= 1E-2
TOLER(16,1)= 1E-2 $ TOLER(16,2)= 1E-2
TOLER(17,1)= 1E-3 $ TOLER(17,2)= 1E-3
TOLER(18,1)= 1E-3 $ TOLER(18,2)= 1E-3
TOLER(19,1)= 1E-2 $ TOLER(19,2)= 1E-2
TOLER(20,1)= 1E-2 $ TOLER(20,2)= 1E-2
TOLER(21,1)= 1E-2 $ TOLER(21,2)= 1E-2 
TOLER(22,1)= 1E-2 $ TOLER(22,2)= 1E-2 

!-------------------------------------------------------------------------------
! Results comparison
!-------------------------------------------------------------------------------

COMPARA.MAC

Results

LabelTargetCivilFEMRatioTolerance
NS_VCY 0 00.000 0.01
NS_VCX 0 00.000 0.01
NSAIPSSY1.2677e+0301.2677e+0301.000 2e+025
NSAIPSSX1.2677e+0301.2677e+0301.000 2e+025
NSCRT_2X 4.0607 4.06071.000 0.01
NSCRT_2Y 4.0607 4.06071.000 0.01
NSCRT_3Y 0.04771 0.0476881.000 0.001
NSCRT_3X 0.04771 0.0476881.000 0.001
NS_VSY 30196 301961.000 0.01
NS_VSX 30196 301961.000 0.01
S_VC_Y 0 00.000 0.01
S_VC_X 0 00.000 0.01
S_AIPSSY1.2677e+0301.2677e+0301.000 2e+025
S_AIPSSX1.2677e+0301.2677e+0301.000 2e+025
S_CRT_2X 4.0607 4.06071.000 0.01
S_CRT_2Y 4.0607 4.06071.000 0.01
S_CRT_3Y 0.04771 0.0476881.000 0.001
S_CRT_3X 0.04771 0.0476881.000 0.001
S_VSY 30196 301961.000 0.01
S_VSX 30196 301961.000 0.01
S_VC_Y 0 00.000 0.01
S_VC_X 0 00.000 0.01

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