Q$2)(12\mathrm{.}5$points$)$ A simply supported beam is subjected to a uniform service dead load of $2\mathrm{.}202$kip$\frac{s}{f}t$ NOT including the own weight of the beam$),$ a uniform service live load of $2\mathrm{.}0$kip$\frac{s}{f}t,$ and a concentrated service dead load of $25$kips. The beam is $50ft$ long, and the concentrated load is located $20ft$ from the left end. The beam has continuous lateral support, and A$572$ Grade $50$ steel is used. Is a W$24$x$131$ adequate or not? Draw shear force diagram and bending moment diagram, and show procedure to calculate the nominal moment $M_n$ and the design strength $M_n.$