For the beam shown below, answer the following questions (50 pt).

, , , , ,
Normal weight concrete

(a) Calculate the factored dead load.
Hint: Girder weight shall be calculated. Consider the volume of concrete rectangle section (i.e., 12×40 in). The unit weight of concrete is 150 pcf . The load factor of 1.2 shall be multiplied.

(b) Calculate the reaction forces by the factored girder weight and the factored concentrated loads .
Hint: is a factored load, so no load factor shall be considered for .

(c) Draw shear force diagram for the half of the span.

(d) Discuss if stirrups are needed. If so, design the stirrups. Sketch your web reinforcement design for the half length of beam along with the shear diagram.