A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure.
Assume $L_{AB} = 7$ ft, $L_{BC} = 2$ ft, $L_{CD} = 4$ ft, $L_{DE} = 3$ ft, $P_C = 1870$ lb, $P_E = 2390$ lb, $W_{AB} = 660$ lb/ft, $b_1 = 9$ in., $b_2 = 2$ in., $b_3 = 6$ in., $d_1 = 2$ in., $d_2 = 11$ in., $d_3 = 2$ in. Consider the entire 16-ft length of the beam and determine:
(a) the maximum tension bending stress $\sigma_T$ at any location along the beam, and
(b) the maximum compression bending stress $\sigma_C$ at any location along the beam.