Problem 5-67/5-68/5-69/ Engineering Mechanics Materials

Engineering Mechanics problem with solution
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5–67. The A-36 solid steel shaft is 3 m long and has a diameter of 50 mm. It is required to transmit 35 kW of power from the engine E to the generator G . Determine the smallest angular velocity the shaft can have if it is restricted not to twist more than 1°.

5–68. If the shaft is subjected to a uniform distributed torque t0, determine the angle of twist at A . The material has a shear modulus G . The shaft is hollow for exactly half its length.

5–69. The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation
t = kx2 N .m/m, where x is in meters. If a torque
of T = 50 N. m is applied to the bolt head, determine the constant k and the amount of twist in the 50-mm length of
the shank. Assume the shank has a constant radius of 4 mm.