Design rectangular section for a beam subjected to service dead load moment, of $180$ and service live load moment, of $250$ ft$-$k The dead load moment does not include self$-$weight of beam. $4000$ psi and $60000$ psi. The simply supported span of the beam is $30$ feet. Show sketch of the cross section, bas size, arrangements and spacing. Use width of the beam b$=15"$ h $=36"$