Affiliation:
1. Illinois Institute of Technology, Chicago, Ill.
Abstract
Abstract
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 = 2 k m V . 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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
3 articles.
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1. Application of method of fundamental solutions for elasto-plastic torsion of prismatic rods;Engineering Analysis with Boundary Elements;2012-02
2. Plastic analysis of torsion of a prismatic beam;International Journal for Numerical Methods in Engineering;1982-06
3. Elastic/plastic torsion of hollow cylinders;International Journal of Mechanical Sciences;1970-01