$(2)$ Use ACI $318.$

$(3)$ Show all steps clearly. Points will be deducted for missing steps or unclear presentation.

Problem $1.$ For the beam shown in the following, perform the following tasks.

$($a$)$ Draw the factored shear force diagram with factored dead and live load acting on the entire span. Then find the maximum factored design shear force at the support.

$($b$)$ Design for shear reinforcement for the support. Use No$.3$ double legged stirrups.

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

Fig. P$6-8$

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Cross section of the beam with $d=17\mathrm{.}5$ in