A shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m length of the shaft is limited to 1.5 degree. If the maximum torque is 30 percent more than mean or average torque. Assume entirely elastic action and take modulus of rigidity for the shaft material G = 135 GN/?2.  Determine the following: a. Diameter of the shaft. b. Maximum shear stress developed in the shaft.

A B D Do F 240 N.mm 420 N.mm 300 N.mm 480 N.mm Figure 1 - Torques applied to the driveshaft 1) DERIVE the twist angle expression (mathematical) of the shaft under torque in terms of the geometric properties of the shaft and the applied torque 2) CALCULATE the diameter of the shaft if the twist angle should not exceed 1.5⁰ 3) CALCULATE the maximum shear stress due to torsion. Consider G = 70 GPa. Assume that the length between each segment is 500 mm.

A solid 1.750-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB = 265 lb-ft and TD 90 lb-ft, acting in the directions shown. Assume a = 48 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 16 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) Answer: Tc i B (2) b Tc (3) Tp lb-ft D

An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?