$(40$ points$)$ Consider this beam and cross section

a$.(5$ points$)$ The point live load can travel along the beam. Considering it located to maximize the shear at the end and the center, draw the $V_U$ diagram $($a straight line approximation is fine$).$

b$.(20$ points$)$ Design the shear reinforcing.

c$.(10$ points$)$ Superimpose your capacity diagram based on your stirrup layout.

d$.(5$ points$)$ Sketch your stirrup layout in the space below.

$f_c^{\text{'}}=4,000,E_c=3,600,000$

$f_y=60,000,E_s=29,000,000$

$w_{DL}=3\mathrm{.}0\frac{\text{k}\text{i}\text{p}}{ft},P_{LL}=95$kip

Section

Show the Shear Reinforcing Layout Here