Question $2$: The same beam from Question $1$ now has an additional deadload $($not including self$-$weight$)$ of $1\mathrm{.}8\frac{k}{f}t$ and has some additional compression reinforcement. Find the following:

a$)$ Does deflection need to be checked for this beam per ACl $318?$

b$)$ The cracked moment of inertia of the beam

c$)$ The effective moment of inertia for the section

d$)$ The maximum instantaneous deflection of the beam

e$)$ The maximum time$-$dependent deflection of the beam

f$)$ Does this beam meet deflection limits per ACl $318,$ assume the beam is not attached to any brittle non$-$structural members?