Problem $3.f_c^{\text{'}}=4,000$;$f_y=60,000.A_s=6\mathrm{.}35i{n}^2.$

$($a$)$ On a vertical axis, show the maximum available shear and the level of shear that requires no shear reinforcement.

$($b$)$ Show on the vertical axis from $($a$)$ the range of shear that requires minimum shear reinforcements.

$($c$)$ Determine the minimum shear reinforcement requirement, in the form of the maximum spacing of a #$3$ stirrup. If the maximum spacings are different along the beam, show where the maxima apply.

$($d$)$ Apply the required load factors and determine the required shear along the beam.

$($e$)$ Determine the spacing of the shear reinforcements at the support using #$3$ stirrups.

$($f$)$ Determine the locations along the beam where #$3$ stirrups at $10$ in spacings can be used.