**International Design Codes**

**ACI 318-19 : **Beam Design Limits

**TSC 2018 : **Dimensional Limit Conditions for Beams

**Notation**

**A**_{g }**= **gross area of concrete section, in^{2}

**b**_{f } = effective flange width, in.

**b**_{w } = web width or diameter of circular section, in.

**c**_{1 } = dimension of rectangular or equivalent rectangular column, capital, or bracket measured in the direction of the span for which moments are being determined, in.

**c**_{2 } = dimension of rectangular or equivalent rectangular column, capital, or bracket measured in the direction perpendicular to** c**_{1}, 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