Beam Design Limits.

International Design Codes

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

TSC 2018 : Dimensional Limit Conditions for Beams

Notation

A_g = gross area of concrete section, in²
b_f = effective flange width, in.
b_w = web width or diameter of circular section, 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.
c₂ = dimension of rectangular or equivalent rectangular column, capital, or bracket measured in the direction perpendicular to c₁, in.
E_c = modulus of elasticity of concrete, psi
E_s = modulus of elasticity of reinforcement, psi
f_c^' = specified compressive strength of concrete, psi
f_y = specified yield strength for nonprestressed reinforcement, psi
h = overall thickness, height, or depth of member, in.
l = span length of beam or one-way slab; clear projection of cantilever, in.
l_n = length of clear span measured face-to-face of supports, in.
P_u = factored axial force; to be taken as positive for compression and negative for tension, lb
s_w = clear distance between adjacent webs, in.
ϕ = strength reduction factor