2. A cantilever beam carries a factored, uniformly distributed load of 2 kip/ft, including its own self- weight. It also has a 40 kip factored, concentrated load applied at mid-span. The

span length is 12 ft. Tension reinforcement is designed as four No. 10 bars under negative bending and two No. 8 bars under positive bending. Use 4,000 ksi compressive strength concrete and 60 ksi yield strength steel. The rectangular beam is 16 in wide and 24 in deep. Use 2 in. cover to steel reinforcement. a) Design shear reinforcement at the critical section. b) Determine the shear reinforcement needed at a section 3 ft away from the critical section towards midspan. c) Determine the length of the beam across which no reinforcement is needed. d) Draw the reinforcement calculated through a-d on elevation and cross section views of the beam. e) Draw the shear diagram of the beam corresponding to the elevation view showing reinforcement.