Stress distribution in rotating prismatic bars
Authors:
Abstract
In this paper, we solve the problem of stress distribution in a rod rotating about an axis lying in the plane of the cross-section. We show that in this case the problem is reduced to two completely independent problems. The first of these problems does not depend on the shape of the cross-section contour and can be solved once. The second problem depends significantly on the shape of the contour and coincides with a plane strain state, with the conditions at the ends being satisfied in the sense of Saint-Venant. In particular, we consider the cases of rotation of a hollow round shaft and a rod of elliptical cross-section.
Область исследования:
(Archived) Articles
Keywords:
stress-strain state
Funding:
None
References
- Almaпsi. E. Sopra la deformazione dei cylindre Sollecitati lateralmente. Attldella Reale Accadetnia Zincei. Anno CCXCVUI, 1901, vol X.
- Lav A. Mathematical theory of elasticity, ONTI, 1935. (in Russian)
- Papkovich P. F. Theory of elasticity, GIOP, 1939. (in Russian)
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