Stresses and displacements in a circular ring loaded by symmetrically spaced radial forces

Abstract

This paper presents the study of a plane elasticity problem for a concentric circular ring loaded by a system of equal radial forces equally spaced around its outer ring boundary. The problem is solved by the Kolosov–Muskhelishvili complex variables method. Explicit formulas are derived for calculating components of the stress tensor and of the displacement vector. Numerical values for circumferential stress and radial displacement are given for various ratios of inner and outer ring radii and various numbers of forces.

Keywords:

• elasticity
• plane problems
• complex variables method
• circular ring
• stress concentration

Disclosure statement

No potential conflict of interest was reported by the author.