Shear Wall Shear Design.

International Design Codes

ACI 318-19 : Shear Wall Shear Design per ACI 318-19 with ideCAD

TSC 2018 : Design Shear Forces for Walls Wall Design Shear Strength Calculation

Notation in ACI 318-19

A_cv = gross area of concrete section bounded by web thickness and length of section in the direction of shear force considered in the case of walls, and gross area of concrete section in the case of diaphrams. Gross area is total area of defined section minus area of any openings, in.²
A_cw = area of concrete section of an individual pier, horizontal wall segment, or coupling beam resisting shear, in².
b_w = width of compression face of member, in.
D = dead load
E = earthquake load
f_c^' = specified compressive strength of concrete, psi
√f_c‘ = square root of specified compressive strength of concrete, psi
f_y = specified yield strength for nonprestressed reinforcement, psi
f_yt = specified yield strength of transverse reinforcement, psi
h = overall thickness, height, or depth of member, in.
h_w = height of entire wall from base to top, or clear height of wall segment or wall pier considered, in.
h_wcs = height of entire structural wall above the critical section for flexural and axial loads, in.
l_n = length of clear span measured face-to-face of supports, in.
l_u = unsupported length of column or wall, in.
l_w = length of entire wall, or length of wall segment or wall pier considered in direction of shear force, in.
L = live load
L_r = roof live load
M_u = factored moment 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
n_s = number of stories above the critical section
P_n = nominal axial compressive strength of member, lb
P_u = factored axial force; to be taken as positive for compression and negative for tension, lb
R = rain load
S = snow load
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
positive for compression and negative lb
V_e = design shear force for load combinations including earthquake effects, lb
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
w_u = factored load per unit length of beam or one-way slab, lb/in.
W = wind load
α_c = coefficient defining the relative contribution of concrete strength to nominal wall shear strength
ϕ = strength reduction factor
Ω_v = overstrength factor equal to the ratio of M_pr/M_u at the wall critical section
λ = modification factor to reflect the reduced mechanical properties of lightweight concrete relative to normalweight concrete of the same compressive strength
ω_v = factor to account for dynamic shear amplification
ρ_l = ratio of area of distributed longitudinal reinforcement to gross concrete area perpendicular to that reinforcement
ρ_t = ratio of area of distributed transverse reinforcement to gross concrete area perpendicular to that reinforcement