a$)$ A doubly$-$symmetric rolled I$-$shape beam with a compact web, and flanges with $=\frac{1}{2}({}_p+{}_r)$ has $Mp=100k-ft$ and $Mr=80k-ft.$ What is the LRFD flexural design capacity of the beam?

b$)$ A compact, rolled beam section with $Fy=36$ksi is shown below. Determine the $\sqrt[\phantom{2}]{m}$inimum m that is expected to cause the beam to reach flexural yield stress.

$t_f={0\mathrm{.}75}^{\text{'}\text{'}}$

$t_{}={0\mathrm{.}50}^{11}$