Use ACI$-318.$

Problem $1.$ The exterior span of a continuous beam monolithically built with the floor slab carries a uniformly distributed dead load $($including the self$-$weight$)$ and live load.

Unfactored dead load $=1\mathrm{.}4ki\frac{p}{f}t$

Unfactored live load $=1\mathrm{.}7ki\frac{p}{f}t$

Clear span length $=25ft$

Effective depth of the beam $=d=24$ in

Web thickness of the beam $=b_w=12$ in

$f_c^{\text{'}}=4500,f_{yt}=40,000$

$($a$)$ Compute the factored ultimate shear force, $V_u,$ at the critical section near the support, with the factored dead and live load over the entire span of the beam.

$($b$)$ Calculate the minimum nominal shear resistance, $V_n,$ required for the section.

$($c$)$ Calculate the shear carried by the concrete, $V_c.$

$($d$)$ Determine whether stirrups are required or not.

$($e$)$ Find the maximum allowable stirrup spacing based on beam depth.

$($f$)$ Find the required spacing for No$.3$ double$-$leg stirrups.