Problem 1 (50 pts.) A simply supported reinforced concrete beam has a width (b) of 14 inches, and an effective depth (d) of 23 inches. The beam has a span of 26 ft. It is supposed to carry a uniformly distributed service dead load of 4 k/ft, in addition to its own weight, and a service live load of 3.0 k/ft over the entire span. The concrete unit weight is 150 lb/ft. 1. What is the maximum factored moment (Mu max) for this beam? 2. Should this beam be considered safe in bending?