Q$2)(12\mathrm{.}5$points$)$ Flexural Member

A simply supported beam with a span length of $30ft$ is continuously laterally supported and is subjected to the loads shown on the figure. The uniformly distributed load is a superimposed dead load $($service$)$ and the concentrated loads are live loads $($service$).$ Is an A$992$ steel W $18$ X $86$ adequate? Hint: don't forget to add the own weight of the beam. Draw shear force and bending moment using factored loads.

$$