The beam is made from southern pine and is supported by base plates resting on brickwork. 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.

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A 6 kip 200 lb/ft -5 ft 5 ft B -3 ft-