Stresses in a thin rotating disc of variable thickness with rigid shaft

Abstract

Stresses for the elastic-plastic transition and fully plastic state have been derived for a thin rotating disc with rigid shaft having variable thickness by using Seth’s Transition theory and results have been discussed and depicted graphically. It has been observed that in the absence of thickness, rotating disc with inclusion and made of compressible material e.g. Copper, Brass and Steel, yields at the internal surface at a lesser angular speed as compared to a rotating disc made of incompressible material e.g. rubber whereas it requires a higher percentage increase in angular speed to become fully plastic. With the effect of variation thickness, higher angular speed is required to yield at the internal surface. It has been observed that the radial stress is maximum at the internal surface. With the effect of variable thickness it increases the value of radial and circumferential stress at the internal surface for transitional state, whereas it can be seen that rotating disc having variable thickness increases the values of radial and circumferential stress at the internal surface for fully-plastic state.