In this paper, the author cites the basic theory of the sand-heap method of plasticity as developed by A. Nádai, which involves determination of the twisting moment in plastic torsion by means of the formula M=2kmV. The author explains the principles upon which the analogy is modified to apply in the case of cross sections having one or more holes, such as a twisted shaft. The technique developed to meet such cases is described in detail and a mathematical analysis is given which results in a twisting-moment formula for a cross section with holes, equivalent in accuracy to that of the original equation for the simple case of a twisted bar.

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