A rectangular beam with cross section b = 14 in., h=24 in. and d= 21.5 in, supports a total factored load of 3.9 kips/ft, including its self-weight. The beam is simply supported with a 22-ft span. It is reinforced with 5 #7 longitudinal bars, two of which are cut of between midspan and the support and three of which extend 10 in, past the centers of the supports. It also includes #3 stirrups. The concrete is normal-weight with compressive strength of 4 ksi, and steel conforms to ASTM A615 Gr. 60. a. Determine the actual (and theoretical) cut-off points for the two longitudinal bars.
b. Verify that the longitudinal reinforcement is sufficiently developed/anchored in the vicinity of the supports