Problem #$14$

A simply supported beam with the cross section shown has a span of $25$ ft and supports an unfactored dead load of $0\mathrm{.}6$kip$\frac{s}{f}t,$ including its self$-$weight, plus an unfactored live load of $0\mathrm{.}5$ kip$\frac{s}{f}t.$ Concrete strength is $4000$ psi $.$ Concrete cover is $1-\frac{1}{2}in.$ Compute the following $($and assume that the events occur chronologically $-$ i$.$e$.$ in the order listed$)$:

$($a$)$ immediate dead$-$load deflection

$($b$)$ immediate dead$-$plus$-$live$-$load deflection $($relates to maximum construction loads$)$

$($c$)$ deflection that occurs after partition walls are in place. Assume partitions are installed three months after shoring for the beam is removed, and assume $20\%$ of the live load is sustained