The shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii as shown. If the torque of T=800 N•m is applied to the rigid disk fixed to its end, determine the maximum shear stress in the shaft.

The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the shear stress (in Pa) in the hollow shaft using the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70092104 Pa and angle of twist of 2.25ᴼ for the whole shaft. Use G = 83000000000 Pafor the shaft, x = 2.43 m, and y = 1.89 m. Round off the final answer to two decimal places.

4. The tapered shaft is made from E- 36 steel ( G = 80 GPa ) , and has a radius which can be described by the equation r = 0.02 ( 1 + x5) m, where x is in meters. Determine the angle of twist of its end A if it is subjected to a torque of 450 N.m. r = 0.02(1 + x3/2) m 4 m 450 N•m

The 60-mm-diameter shaft is made of 6061-T6 aluminum having allowable shear stress of tallow = 80 MPa. Determine the maximum allowable torque T. Also, find the corresponding angle of twist of disk A relative to disk C.