Question $\backslash$# $3$

A $20-$ft$-$span simply supported beam has a clear span of $\backslash (18\backslash$mathrm$\{$ft$\}\backslash ).$ and carries uniformly distributed dead and live loads of $3$ and $\backslash (4\backslash$mathrm$\{$~K$\}/\backslash$mathrm$\{$ft$\}\backslash ),$ respectively. The beam section and steel reinforcement dimensions are shown in the figure below.

Check the section for shear and design the necessary shear reinforcement. Given $\backslash ($ f$^\{\backslash$prime$\}\backslash$mathrm$\{$c$\}=4\backslash$mathrm$\{$ksi$\}\backslash )$ normal$-$weight concrete and fyt $=60$ ksi $.,$ show the location and the number of stirrups used in the beam.