A floor slab is constructed from a $4-$in$-$thick concrete slab $(150$ lb$/$ft$3)$ as shown. If the

suspended ceiling of the first floor consists of metal lath and gypsum plaster $(10$ lb$/$ft$2),$

determine the uniform dead load $($including self$-$weight$)$ on each joist in pounds per linear

foot of the joist. Assume the cross$-$section of the joists are W$10$x$12$ and they are $12$ apart

$($center to center$).$ Hint: the self$-$weight of the W section is indicated by its second number

$($i$.$e$.,12$ lb$/$ft$)(25$ pts$).$