On solutions for the transient response of beams

Robert W. Leonard
naca-tn-4244
Jun 1958


Williams type model solutions of the elementary and Timoshenko beam equations are presented for the transient response of several uniform beams to a general applied load. Example computations are shown for a free-free beam subject to various concentrated loads at its center. The discussion includes factors influencing the convergence of model solutions and factors to be considered in a choice of beam theory.

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