Stresses in a rotating rod with a special cross-section shape

Abstract

The problem of stress distribution in a prismatic rod rotating around one of the main central axes of inertia of the cross-section is reduced to solving two independent problems. One of them does not depend on the shape of the cross-section contour and is solved once. The second problem depends on the shape of the cross-section contour and is reduced to determining the plane strain state. With an accuracy quite sufficient for practice, the value of the main design stress can be obtained using the simplified formula (7) (see article). Assuming in the obtained expressions for stresses a = 0 and bр = r, we obtain stresses for a rod of circular cross-section.