Beam Shear Design.

International Design Codes

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

TSC 2018 : Beam Shear Design Force

Notation in ACI 318-19

A_v = area of shear reinforcement within spacing s, in.²
A_v,_min = minimum area of shear reinforcement within spacing s, in.²
b_w = width of compression face of member, in.
c₁ = dimension of rectangular or equivalent rectangular column, capital, or bracket measured in the direction of the span for which moments are being determined, in.
d = distance from extreme compression fiber to centroid of longitudinal tension reinforcement, in.
D = dead load
E = earthquake load
f_c^' = specified compressive strength of concrete, psi
f_y = specified yield strength for nonprestressed reinforcement, psi
f_yt = specified yield strength of transverse reinforcement, psi
l_n = length of clear span measured face-to-face of supports, in.
l_u = unsupported length of column or wall, in.
L = live load
L_r = roof live load
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
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
s = center-to-center spacing of items, such as longitudinal reinforcement, transverse reinforcement, tendons, or anchors, in.
T_n = nominal torsional moment strength, in.-lb
T_u = factored torsional moment at section, in.-lb
V_c = nominal shear strength provided by concrete, lb
V_e = design shear force for load combinations including earthquake effects, lb
V_e^b = Capacity shear force of the column based on the maximum probable moment strengths of the beams framing into the column, lb
V_e^c = Capacity shear force of the column based on the maximum probable flexural strengths of the two ends of the column, 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
ϕ = strength reduction factor
Ω_o = overstrength factor for the lateral-force-resisting system

Beam required strength is calculated in accordance with the factored load combinations.