Official Answer
Answer
During installation, the ring is expanded over a shaft or contracted into a bore. The maximum fiber stress occurs at the innermost fiber for external rings and is given by $S = \frac{E t (D_s - D_i)}{(D_s - t)(D_i + t)}$, where $D_s$ is the shaft diameter and $D_i$ is the ring ID. If $S$ exceeds the yield strength $S_y$, the ring will undergo plastic deformation (permanent set). For 302 Stainless Steel rings, the installation stress should be limited to 80 percent of $S_y$. In aerospace gearboxes, 'tapered' ring sections are sometimes used to provide more uniform stress distribution across the ring circumference.
