Using ultimate strength design method, determine the flexural steel required for an interior concrete beam to span ${25}^{\text{'}}-0".$ Use #$8$ bars for the flexural steel. Solve for the number of bars.

The un$-$factored live load is $1250$ #$/$ft

The un$-$factored dead load is $1000$ #$/$ft and includes the self$-$weight of the beam.

The beam is $14"$ wide $($b$)$ and $20"$ deep $($ h $).$

Allow $1-1/2"$ of concrete coverage at the bottom of the beam

$F{c}^{\text{'}}=4,000$

$F_y=40,000$

Live Load factor: $1\mathrm{.}6$

Dead Load factor: $1\mathrm{.}2$

Wusd in #$/$ft

Maximum moment USD in #$\text{'}$

Mmax USDT $($theoretical$)$ in #$\text{'}$

Mmax USDT $($theoretical$)$ in #$"$

Beam width $($b$)$

Effective depth $($d$)$

First value for Stress Block depth $($a$)$

Second value for $"$a$",$ if needed

Final value for $"$a$",$ if needed

$A_s$ required per bending calculations

$A_s$ required per minimum steel ratio $($TABLE $13\mathrm{.}3)$

Final $A_s$ required for flexural steel

Required number of #$8$ bars