$(15$ points$)$ A structural steel beam supports a slab that weighs $(32+1\mathrm{.}75x)$ psf$.($including the weight of the beam$).$ An analysis of the loads found the following: Snow load $=(18+3x)$ psf$.,$ and Wind $=(20+5\mathrm{.}1x)$ psf$.($downwards$).$ If the beams are spaced $.)$ apart and the length of the beam is $(15+1\mathrm{.}5x)ft.$ and is simply supported, determine the factored uniformly distributed load per foot for which each beam should be designed. Use recommended LRFD expression from the AISC. $($Need to show all LRFD load combinations.$)$

FOR X VALUES INPUT $2$