Stresses for the elastic-plastic transition and fully plastic state have been derived for a thin rotating disc having variable thickness with shaft at different temperatures. Results have been discussed and depicted graphically. It has been observed that in the absence of thickness, the rotating disc made of incompressible material e.g. rubber with inclusion require a higher angular speed to yield at the internal surface as compared to a disc of compressible material e.g. copper, brass and steel and a much higher angular speed is required to yield with the increase in radii ratio. With the effect of variation thickness, reverse results and lesser angular speed are required to yield at the internal surface. With the introduction of thermal effects for k = 0, lesser angular speed is required to yield at the internal surface. When thickness varies (say k = 2.5, 5), reverse in the results. The radial stresses is maximum at the internal surface with no thickness, when thickness varies the circumferential stress is maximum at the internal surface.
Keywords: stresses, displacement, rotating disc, angular speed, shaft, temperature, thickness