Supplemental Note on the Stability of Shafts under Twisting Couples

Abstract

The first problems of this kind were discussed by A.G. Greenhill in connection with the strength of the propeller shaftings of ships. But the results given there were in error, excepting the case of a shaft running in two short end bearings, due to negligence of fixing couples at the ends-this was pointed out by G. Temple and W.G. Bickley. For a supplement the author treats this problem under many typical of boundary conditions, by using the complex representation for the deflection of a shaft in space. This treatment has certain advantages of symplifying the analysis and expressions.