A single-span bridge is idealized as simply supported uniform homogeneous beam and has on it a load moving with a constant velocity v, from the end x = 0 to the end x = L. The bridge may be assumed to...

A single-span bridge is idealized as simply supported uniform homogeneous beam and has on it a load moving with a constant velocity v, from the end x = 0 to the end x = L. The bridge may be assumed to be initially undisturbed and therefore at rest. Find the deflection of the bridge.