Official Answer
Answer
The shear strength of the ring itself is based on the shear area of the material. The formula is $P_r = π · D · t · τ_{ult} / S_f$, where $D$ is the shaft/bore diameter, $t$ is the ring thickness, and $τ_{ult}$ is the ultimate shear strength of the material (typically taken as $0.6 · σ_{tensile}$ for steel). It is important to note that this calculation assumes the load is applied uniformly and that the groove and retained component have minimal radii. If the retained component has a large corner radius, it will apply the load further out on the ring, creating a moment arm that leads to 'dishing' and reduces the effective shear capacity.
