Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 2nd Report, Elastic Torsion of Circumferentially Grooved Shafts

Abstract

In this report, the problem of elastic torsion of circumferentially grooved shafts is numerically solved by the same method as presented in the first report. The solutions are obtained for the cases where contours of grooves are circalar arcs. The stress concentration factor, the stress gradient at the bottom of the groove and the angle of twist are calculated. The numerical results about the stress concentration factors coincide fairly well with Neuber's solutions, but it is proved that generally his solutions give somewhat unsafe values. A method for evaluating the angle of twist on arbitrary length over the groove is presented, and its reliability is checked experimentally.