Deflection of Partial Ring Segments Subjected to Concentrated Transverse or Radial Inward Forces

Abstract

Exact analytical solutions, based on the Hamilton principle, are obtained for the response of supported partial ring segments subjected to concentrated loads. Loading may be applied in the lateral direction, perpendicular to the plane of the ring, or radially, in the plane of the ring. Results of a number of experimental tests are included. Very good agreement between theory and experiment was obtained. It is shown that the theoretical model is easy to apply. There are a number of industrial applications for this solution technique, some of which are discussed.