A rectangular beam section at midspan for a $22$ ft$-$span simply supported rectangular beam $($b$\backslash$times h$=18$ in$.\backslash$times $22$ in$.)$ that supports its own dead load, a superimposed dead load of $1\mathrm{.}25$ kip$/$ft$,$ and a uniform live load of $2$ kip$/$ft$.$

Compute the total factored load w$\_$u

Hints:

Superimposed dead loads represent non$-$structural dead loads that remain permanently on the structure $($i$.$e$.$ include the partition or interior walls, floor screeding, floor finish, ceiling loads, and MEP pipes and fixtures$)$