A $12-$ft$-$long cantilever supports its own weight plus an additional uniform dead load

of $0\mathrm{.}5$ kip$/$ft$.$ The beam is made from normal$-$weight $4,000$ psi concrete and has b$=16$ in$.,$

d$=15\mathrm{.}5$in$.,$ and h$=18$ in$.$ It is reinforced with four No$\mathrm{.}7$ Grade$-60$ bars. Compute the maximum

concentrated live load that can be applied at $1$ ft from the free end of the cantilever.

a$)$ Draw a cantilever and indicate all the loads

b$)$ Draw a beam cross$-$section indicating the location and area of the reinforcements.

c$)$ Compute the $$

d$)$ Determine the maximum concentrated live load that can be applied at $1$ft from the free

end of the cantilever