A cast-iron piston ring has a mean diameter of 81 mm

A cast-iron piston ring has a mean diameter of 81 mm, a radial height h = 6 mm, and a thickness b = 4 mm. The ring is assembled using an expansion tool that separates the split ends a distance δ by applying a force F as shown. Use Castigliano€™s theorem and determine the deflection δ as a function of F. Use E = 131 GPa and assume Eq. (4€“28) applies

h-6 mm

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