A solid steel shaft with an outside diameter of 65 mm is subjected to a pure torque of 7,000 N-m. The shear modulus of the steel is G=80 GPa.

Determine

a. 1 The maximum shear stress in the shaft

b. 2 The magnitude of the angle of twist in a 2.5-m length of shaft.

c. 3 If the shaft is hollow, what are the outside diameter and the thickness of the shaft to have the same maximum shear stress ?

d. 4 Discuss the result from part c.

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