Line load applied along generators of thin-walled circular cylindrical shells of finite length

Abstract
Donnell’s differential equations of the thin circular cylindrical shell are integrated in the case when the loads are radial forces or circumferential moments distributed sinusoidally along a generator. Closed form expressions are obtained for the displacements, internal moments, and the membrane stresses. In addition, loads distributed uniformly along a segment of a generator and concentrated loads are discussed and radial forces are combined into a longitudinal moment.

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