The steel beam AB acts to stop the oncoming railroad car, which has a mass of 10 Mg and is...

The steel beam AB acts to stop the oncoming railroad car, which has a mass of 10 Mg and is coasting towards it at v = 0.5 m/s. Determine the maximum stress developed in the beam if it is struck at its center by the car. The beam is simply supported and only horizontal forces occur at A and B. Assume that the railroad car and the supporting framework for the beam remain rigid. Also, compute the maximum deflection of the beam. Est = 200 GPa, σY = 250 MPa.