Deflections of Circular Beams Resting on Elastic Foundations Obtained by Methods of Harmonic Analysis

Author:

Volterra Enrico1

Affiliation:

1. Rensselaer Polytechnic Institute, Troy, N. Y.

Abstract

Abstract Solutions in form of Fourier series are given for the problem of circular beams resting on elastic foundations on the assumption that the foundation reacts according to the classical Winkler-Zimmermann hypothesis. The case of an arbitrary load distribution is disposed of by separate treatment of the symmetric and antisymmetric load components. Numerical tables of the coefficients of the trigonometric series expressing deflections, angles of twist, bending and twisting moments are presented for both symmetric and antisymmetric loadings.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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