Elastic columns under half-sine pulse loading.
Taylor, Lawrence H.
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This paper describes an investigation of the dynamic behavior of a pin ended elastic column, subjected to half-sine pulse loading applied with small eccentricity. The column is replaced by a lumped parameter mathematical model, and the equations for the model are solved with a high speed digital computer. The failure criterion used is a limiting value of extreme fiber strain. The minimum loads which cause failure are found as a function of load duration for columns having the slenderness ratios 50, 100, and 150. It is shown that an elastic column can support rapidly applied dynamic loads greatly in excess of the Euler load. As the duration of the load pulse is decreased, the lateral deflection at failure becomes progressively smaller and the effects of axial inertia become increasingly significant.
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