# Beam Flexural Design.

Beam flexural design strengths are calculated automatically.

Beam required strengths are calculated automatically.

**International Design Codes**

* ACI 318-19 : *Beam Flexural Design

**TSC 2018 :**

**Notation in ACI 318-19**

**A _{s}**

**area of nonprestressed longitudinal tension reinforcement, in**

_{ }=^{2}

*gross area of concrete section, in*

**A**_{g }=^{2}

*depth of equivalent rectangular stress block, in.*

**α =***web width or diameter of circular section, in.*

**b**_{w }=*distance from extreme compression fiber to neutral axis, in.*

**c =**

**C**_{c}**concrete**

_{ }=**compressive force, lb**

**C**_{s}**reinforcement tension force, lb**

_{ }=*distance from extreme compression fiber to centroid of longitudinal tension reinforcement, in.*

**d =***dead load*

**D =***earthquake load*

**E**_{ }=*specified compressive strength of concrete, psi*

**f**_{c}^{'}_{ }=*specified yield strength for nonprestressed reinforcement, psi*

**f**_{y }=*specified yield strength of transverse reinforcement, psi*

**f**_{yt }=*live load*

**L**_{ }=*roof live load*

**L**_{r}_{ }=*nominal flexural strength at section, in.-lb*

**M**_{n }=

**M**_{u}**factored moment at section, in.-lb**

_{ }=

**P**_{u}**factored axial force; to be taken as positive for compression and negative for tension, lb**

_{ }=*rain load*

**R**_{ }=*snow load*

**S**_{ }=*strength of a member or cross section required to resist factored loads or related internal moments and forces in such combinations*

**U**_{ }_{ }=*nominal shear strength, lb*

**V**_{n }=*factored shear force at section, lb*

**V**_{u }=*wind load*

**W**_{ }=*ratio of*

**ρ =***to*

**A**_{s}

**bd***strength reduction factor*

**ϕ =**The beam top and bottom flexural reinforcement is designed along the beam span.

Nominal flexural strength with zero compression is calculated as follows.

From the equation of equilibrium:

Nominal flexural strength * M_{n}*: