Problem $1$: A segment of beam with section shown below is subjected to the factored shear force $V_u=43\mathrm{.}8$ kips. Design shear reinforcement. Use $f_c^{\text{'}}=5000$ psi. and $f_{yt}=60,000$ psi. Design the shear reinforcement for the following two cases.

Use No$.3$ double$-$leg stirrups. Determine the spacing $s$ for the transverse reinforcement. $A_{v,1}=0\mathrm{.}11$ in$.{?}^2.$

The size and spacing $s$ of stirrups are to be designed by you.

Hint: Follow the same procedure in the examples in the "Lecture notes of $03-20-$updated" posted to Canvas.

$12$

$\backslash$table$[[$Standard Inch$-$Pound Bars$],[$Bar No$.,$Diameter $($in$.),$Area $($in$.{?}^2)],[3,0\mathrm{.}375,0\mathrm{.}11],[4,0\mathrm{.}500,0\mathrm{.}20],[5,0\mathrm{.}625,0\mathrm{.}31],[6,0\mathrm{.}750,0\mathrm{.}44],[7,0\mathrm{.}875,0\mathrm{.}60],[8,1\mathrm{.}000,0\mathrm{.}79],[9,1\mathrm{.}128,1\mathrm{.}00],[10,1\mathrm{.}270,1\mathrm{.}27],[11,1\mathrm{.}410,1\mathrm{.}56],[14,1\mathrm{.}693,2\mathrm{.}25],[18,2\mathrm{.}257,4\mathrm{.}00]]$