Abstract
Several theoretical methods of estimating the deflexion of a thick plain ring under a uniformly distributed couple have been published, both in this country and in the U.S.A. Probably the best-known of these theories is that of Dr. R. W. Bailey.† In all cases the treatment has not been rigid from a mathematical point of view, the axial or shear forces in the ring notably being neglected, and the load being assumed concentrated on particular loading circles whereas in fact it is distributed over an appreciable area.
The present paper attempts to treat the problem in a more rigid manner, with due consideration of the effect of load distribution.
Expressions for the axial and radial deflexions, and the axial, shear, radial, and circumferential stresses in the ring are developed, and values of these functions are obtained for a wide range of ring dimensions, and are compared with the values of similar quantities obtained by the use of the theory of Dr. R. W. Bailey.
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