ON SAINT-VENANT'S PRINCIPLE AND THE TORSION OF SOLIDS OF REVOLUTION.
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
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This report contains a quantitative study of Saint-Venants principle within the context of the pure axisymmetric torsion of bodies of revolution in classical elastostatics. Explicit estimates are established for the decay of the strain energy and of the internal stresses produced by a self-equilibrated axisymmetric torsional loading applied to one end of the body in the absence of other loads. Both solid and hollow shell-shaped bodies are treated. For the latter the decay in the mean twist is also estimated. Author