A singly reinforced rectangular beam is to be designed, with effective depth approximately 1.5 times the width, to carry a service live load of 2000 lb/ft in addition to its own weight, on a 24 ft simple span. The ACI Code load factors are to be applied as usual. With f y = 60,000 psi and f c′ = 4000 psi, determine the required concrete dimensions b, d, and h, and steel reinforcing bars ( a ) for ρ = 0.60 ρ _0.005 and ( b ) for ρ = ρ _0.005 . Include a sketch of each cross-section drawn to scale. Allow for No. 4 (No. 13) stirrups. Comment on your results.