A corbel made from timber transfers a $25,000lb$ beam reaction force to a timber column. Suppose that the allowable shearing stress parallel to wood grain is $100$ psi, and the allowable bearing stress parallel to the grain is $500$ psi $.$ The bearing stress between the beam and the corbel is limited to $400$ psi. Check the adequacy of this simple beam to column connection $(15$ pts$).$ Calculate a new height or width if necessary $(10$ pts $).$