A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure).

Obtain a formula for the maximum bending stress σmax due to the falling weight in terms of h, σst, and δst, where σst is the maximum bending stressand δst 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 σmax/σst (that is, the ratio of the dynamic stress to the static stress) versus the ratio h/δst. (Let h/δst vary from 0 to 10.)

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