Transactions of the Japan Society of Civil Engineers
Online ISSN : 1884-4944
Print ISSN : 0047-1798
ISSN-L : 0047-1798
BENDING OF A SIMPLY SUPPORTED CIRCULAR PLATE UNDER AN ECCENTRIC LOAD
Masao Satake
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1965 Volume 1965 Issue 117 Pages i

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Abstract
Bending of a circular plate simple supported along its edge and loaded at an arbitral point by a force or a couple is treated in this paper by employing bipolar coordinates. The problem of a circular plate subjected to an eccentric load has been discussed in various manner, since Clebsch obtained a series solution in polar coordinates of this problem. But the case of simply supported edge is more complicated than that of clamped edge and also these discussions were restricted to the case of a concentrated force. In this paper, a series solution for the case of a concentrated force in bipolar coordinates is first derived, and then it is seen that solutions for both cases of a bending and a twisting couple can be expressed in modified forms of the first solution.
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