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Thin cylindrical shells subjected to concentrated loads

1946; Brown University; Volume: 4; Issue: 1 Linguagem: Inglês

10.1090/qam/16031

1552-4485

Yuan Shao,

Structural Engineering and Materials Analysis

A single differential equation of the eighth order in the radial displacement is given for the equilibrium of an element of a cylindrical shell undergoing small displacements due to a laterally distributed external load.The radial deflection of thin cylindrical shells subjected to concentrated, equal and opposite forces, acting at the ends of a vertical diameter, is analyzed by the Fourier method.Applications of the solution of the problem of the infinitely long cylinder to the problems of a couple acting on an infinitely long cylinder in the direction of either the generatrix or the circumference are also discussed.