Shear LimitCurve

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This command is used to construct a shear limit curve object that is used to define the point of shear failure for a LimitStateMaterial object. Point of shear failure is based on empirical drift capacity model from Chapter 2. After shear failure the response of LimitStateMaterial is forced to follow shear limit curve.

limitCurve Shear $curveTag $eleTag $rho $fc $b $h $d $Fsw $Kdeg $Fres $defType $forType <$ndI $ndJ $dof $perpDirn $delta>

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$curveTag	unique LimitCurve tag
$eleTag	integer element tag for the associated beam-column element
$rho	transverse reinforcement ratio <math>(\frac{A_{st}}{bh})</math>
$fc	concrete compressive strength (psi)
$b	column width (in.)
$h	full column depth (in.)
$d	effective column depth (in.)
$Fsw	loating point value describing the amount of transverse reinforcement <math>(F_{sw} = \frac{A_{st}f_{yt}d_c}{s})</math>
$Kdeg	If positive: unloading stiffness of beam-column element (Kunload from Figure 4-8) if negative: slope of third branch of post-failure backbone (see Figure 4-6)
%Fres'	floating point value for the residual force capacity of the post-failure backbone (see Figure 4-6)
$defType	integer flag for type of deformation defining the abscissa of the limit curve 1 = maximum beam-column chord rotations 2 = drift based on displacment of nodes ndI and ndJ
$forType	nteger flag for type of force defining the ordinate of the limit curve. See NOTES 1. 0 = force in associated limit state material 1 = shear in beam-column element 2 = axial load in beam-column element
$ndI	nteger node tag for the first associated node (normally node I of $eleTag beam-column element)
$ndJ	integer node tag for the second associated node (normally node J of $eleTag beam-column element)
$dof	nodal degree of freedom to monitor for drift. See NOTES 2
$perpDirn	perpendicular global direction from which length is determined to compute drift. See Notes 2.
$delta	drift (floating point value) used to shift axial limit curve

NOTES:

1. Options 1 and 2 assume no member loads
2. 1 = X, 2 = Y, 3 = Z

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EXAMPLE:

<tcl>CenterColShearSpring.tcl</tcl>

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DESCRIPTION:

Modeling Failures in Existing Reinforced Concrete Columns by Ken Elwood: File:ElwoodCJCE2004.pdf

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REFERENCES:

Elwood, K.J and Moehle, J.P., "Shake Table Tests and Analystical Studies on the Gravity Load Collapse of Reinforced Concrete Frames", Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA. PEER 2003/01.

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Code Developed by: Ken Elwood, University of British Columbia