A $17-$ft$-$span simple supported roof beam carries a uniformly distributed ultimate dead load of $11\mathrm{.}4ki\frac{p}{f}t.$ No live load is present. Assume that stirrups are needed and the section is large enough. No need to check that. Design the necessary shear reinforcement and make all necessary checks to achieve an adequate design. Determine where you can double the calculated spacing. Use only No$.3$ hoops. Assume: $f^{\text{'}}c=3000$ psi, $f_{yt}=60000$ psi. and Six$-$inch support plates. Sketch your final design.

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$w_{uD}=11\mathrm{.}4$kip$\frac{s}{f}t$

$17$ ft