A circular spring is designed as a rubber ring glued inside a steel ring (assumed rigid). Loading the spring will result in shearing the rubber ring as shown. The properties of the rubber are E = 3,000 MPa and 0.495. Hints: (1) the shear stress in the rubber ring varies with r. (2) the slope of the deformed shape, dv/dr, satisfies the small angle approximation sin a tan a ~ a. R 8 Ar Ro v(r) Ro R (a) Find the shear stress as function of r. (b) Find the shear strain as function of r. (c) Use the kinematic relation (connection of shear strain, y, and deflection, v(r)) to find v(r) (d) How large of a force is required to generate a deflection of 8 = 5.0 mm?