The beam is made from southern pine and is supported by base plates resting on brick work. If the allowable bearing stresses for the materials are (σ_pine)_allow = 2.81 ksi and (σ_brick)_allow = 6.70 ksi, determine the required length of the base plates at A and B to the nearest 1/4 inch in order to support the load shown. The plates are 3 in. wide.