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A_c-sh = area of concrete used to determine shear stress, in²
A_g = gross area of concrete section, in²
b_w = web width or diameter of circular section, in.
d = distance from extreme compression fiber to centroid of longitudinal tension reinforcement, in.
f_c ^' ₌ specified compressive strength of concrete, psi
(f_c^')^0.5 ₌ square root of specified compressive strength of concrete, psi
f_{yt =} specified yield strength of transverse reinforcement, psi
h = overall thickness, height, or depth of member, in.
N_u = factored axial force normal to cross-section occurring simultaneously with V_u or T_u; to be taken as positive for compression and negative for tension, lb
s = center-to-center spacing transverse reinforcement, in
V_c = nominal shear strength provided by concrete, lb
V_n = nominal shear strength, lb
V_s = nominal shear strength provided by shear reinforcement, lb
V_u = factored shear force at section, lb
ϕ = strength reduction factor
λ = modification factor to reflect the reduced mechanical properties of lightweight concrete relative to normal-weight concrete of the same compressive strength
λ_s = factor used to modify shear strength based on the effects of member depth, commonly referred to as the size effect factor

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Nominal one-way shear strength at a section, V_n, is calculated by:

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The maximum value of the (f_c^')^0.5 [or ] used to calculate V_c, V_s or ACI Eq. (22.5.1.2) is 100 psi. For calculation of V_c, V_s, or ACI Eq. (22.5.1.2), it is assumed that the unit of (f_c^')^0.5 [or ] is psi. If these values are to be calculated in SI-metric or mks-metric units, the (f_c^')^0.5 [or ] value is changed accordingly. The strength reduction factor ϕ for shear is determined as described in the Strength Reduction Factors per ACI 318-19 with ideCAD title.

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V_c for Nonprestressed Members

For nonprestressed concrete reinforcement members, V_c is calculated using ACI Table 22.5.5.1.

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In earthquake-resistant structures, there are additional requirements for shear design strength. These requirements are described in the headings below.

Column Shear Design per ACI 318-19 with ideCAD
Beam Shear Design per ACI 318-19 with ideCAD
Joint Shear Strength per ACI 318-19 with ideCAD
Shear Wall Shear Design per ACI 318-19 with ideCAD

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For calculation of V_c, V_s or ACI Eq. (22.5.1.2), it is assumed that the unit of (f_c^')^0.5 [or ] is psi. If these values are to be calculated in SI-metric or mks-metric units, the (f_c^')^0.5 [or ] value is changed accordingly.

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