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Notation
bw = web width or diameter of circular section
d = distance from extreme compression fiber to centroid of longitudinal tension reinforcement
fck = specified compressive strength of concrete
fcd = design compressive strength of concrete
fyk = specified yield strength for nonprestressed reinforcement
fyd = design yield strength for nonprestressed reinforcement
fywk = specified yield strength of transverse reinforcement
fywd = design yield strength of transverse reinforcement
h = overall thickness, height, or depth of member
Nd = factored axial force normal to cross section occurring simultaneously with Vd
s = center-to-center spacing transverse reinforcement, in
Vc = nominal shear strength provided by concrete
Vr = shear strength
Vw = design shear strength provided by shear reinforcement, lb
γ = strength reduction factor
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Nominal one-way shear strength at a section, Vr, is calculated by:
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The shear strength is based on an average shear stress over the effective cross section, bwd. Therefore dimensions of the cross-section should be satisfy the maximum limit given in TS 500 8.5.1.2;
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For calculation of Vc, Vw , d is taken as the distance from extreme compression fiber to centroid of longitudinal tension reinforcement.
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Vc for Nonprestressed Members
For nonprestressed concrete reinforcement members, Vc is calculated using TS 500 8.1.4.
The value of Vc ;
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The value of Vcr ;
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γ= 0.07 for pressure and γ= -0.03 for tension.
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One-way shear reinforcement
For members reinforced with transverse reinforcement, Vw is calculated using TS500 Equation 8.5
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Asw is the effective area of all bar legs or wires within spacing s, for each rectangular tie, stirrup, hoop, or crosstie.
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The value of fywd is yield strength of transverse reinforcement,
Shear strength provided by bent-up longitudinal reinforcement is neglected.
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