A simply supported beam has a clear span $l_n=22ft$ and is subjected to an external uniform nominal dead load of $0\mathrm{.}9$kip$\frac{s}{f}t($does not include the weight of the beam$)$ and a uniformly distributed nominal live load of $1\mathrm{.}2$kip$\frac{s}{f}t.$ Assume normal$-$weight concrete with $f_c=4000$ and $f_y=60,000$ psi. Is it necessary to provide stirrups at the center of the beam to carry the maximum shear? Show your calculations.