A heavy object of weight W is dropped onto the midpoint of a simple beam AB from

Question:

A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h. Obtain a formula for the maximum bending stress s_max due to the falling weight in terms of h, σ_st, and π_st, where σ_st is the maximum bending stress and π_st is the deflection at the midpoint when the weight W acts on the beam as a statically applied load. Plot a graph of the ratio σ_max /σ_st (that is, the ratio of the dynamic stress to the static stress.