Calculating Gravity Loads $(45$ points$)$

The plan and elevation of a steel building shown below is $7$ bays long by $4$ bays wide. The building has beams along building lines A through $E$ and one$-$way concrete composite deck between building lines A through E$.$ A central stairwelVelevator shaft between building lines $5$ and $6$ provides the lateral support, so only gravity loads need to be calculated. Construction is with normal weight concrete and the composite deck can be assumed to have a density of $100$ pcf for the purposes of calculating dead load.

Assume the beams are WI$4688.$ The bay dimensions are $18\mathrm{.}5ft$ in the $x$ direction and $21ft$ in the $Y$ direction, and the superimposed service dead load is $25$ psf$.$ Refer to Table $4\mathrm{.}3-$I in ASCE $7-16$ for live loads typical of an office building $($you may ignore live load reduction factors$).$

Calculate the factored loads in psf and the beam factored load in klf$.$ Use all of the load combinations as outlined in ASCE $7-16$ to determine which combination is the controlling case.