Problem $1(30$ points$)$: Beam Shear Design; The figure shons a simply supported beam. i$)$ Determine the maximum allowable stirnup apacing required to resist the given dead and live load.

Design Code: ACI $318$ : $\frac{14}{19}$ Bwilaing Code Requirements for Structural Concrete

Design Data:

See figure draming

Single Reinforced Beam

Steel reinforcement: ASTM Gr$.60$

$($a$)$

Normal weight concrete, $f_c=4,500$ psi

Longitudinal Reinforcemert, $f_3=60,000$

Stirrup Reinforcement:

Double Leg No$.3,f_{97}=60,000$ ps$$

Side Cover $($c$/$c$)$: $2\mathrm{.}5$ in$.$

Bottom Cover $(\frac{c}{C})$: $2\mathrm{.}5$ in

$($b$)3$ No$.8$ bars

Ascumptions:

Nieglect beam self$-$weight

Stirnup spacing is the same over $|$rin$.$ the eatire beam.