A shear spring is made by bonding the rubber annulus to a rigid fixed ring and a plug. Whe...

A shear spring is made by bonding the rubber annulus to a rigid fixed ring and a plug. When an axial load P is placed on the plug, show that the slope al point y in the rubber is dy/dr = −tan  = −tan(P/ (2πhGr)). For small angles we can write dy/dr = −P/(2πhGr). Integrate this expression and evaluate the constant of integration using the condition that y = 0 at r = r0. From the result compute the deflection y = δ of the plug.