Problem Statement: A rectangular beam having b = 10 in. and d = 17.5 in. spans 15 ft face to face of simple supports. It is reinforced for flexure with three No. 9 bars that continue uninterrupted to the ends of the span. It is to carry service dead load D = 1.27 kips/ft (including self-weight) and service live load L = 3.70 kips/ft, both uniformly distributed along the span. Design the shear reinforcement, using No. 3 vertical U stirrups. The more approximate Eq. 4.12b for Vc may be used.
Material strengths are f’c = 4,000 psi and fyt = 60,000 psi.