Joint Shear Strength.

International Design Codes

ACI 318-19 : Joint Shear Strength per ACI 318-19 with ideCAD

TSC 2018 : Column-Beam Joint Shear Design

Notation in ACI 318-19

A_s = area of nonprestressed longitudinal tension reinforcement, in²
A_j = effective cross-sectional area within a joint in a plane parallel to plane of beam reinforcement generating shear in the joint, in.²
C_c = concrete compressive force, lb
d_b = Nominal diameter of bar, wire, or prestressing strand, in.
f_c^' = specified compressive strength of concrete, psi
√f_c‘ = square root of specified compressive strength of concrete, psi
h = overall thickness, height, or depth of member, in.
l_u = unsupported length of column or wall, in.
M_n = nominal flexural strength at section, in.-lb
M_pr = 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 1.25f_y and a strength reduction factor ϕ of 1.0, in.-lb
V_n = nominal shear strength, lb
V_u = factored shear force at section, lb
(V_u)_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