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International Design Codes

ACI 318-19 : Joint Shear Strength

TSC 2018 : Column-Beam Joint Shear Design

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Notation in ACI 318-19

As= area of nonprestressed longitudinal tension reinforcement, in2
Aj = effective cross-sectional area within a joint in a plane parallel to plane of beam reinforcement generating shear in the joint, in.2
Cc = concrete compressive force, lb
db = Nominal diameter of bar, wire, or prestressing strand, in.
fc' = specified compressive strength of concrete, psi
√fc = square root of specified compressive strength of concrete, psi
h = overall thickness, height, or depth of member, in.
lu = unsupported length of column or wall, in.
Mn = nominal flexural strength at section, in.-lb
Mpr = probable flexural strength of members, with or without axial load, determined using the properties of the member at joint faces assuming a tensile stress in the longitudinal bars of at leasts 1.25fy and a strength reduction factor ϕ of 1.0, in.-lb
Vn = nominal shear strength, lb
Vu = factored shear force at section, lb
(Vu)j = required joint shear force, lb
ϕ = strength reduction factor
λ = modification factor to reflect the reduced mechanical properties of lightweight concrete relative to normalweight concrete of the same compressive strength

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