Supplement Problems Torsion Problem I A solid circular steel shaft having an outside diameter of d = 0.75 in. is subjected to a pure torque of T = 650 lb-in. Determine the maximum shear stress in the shaft. Problem II A hollow steel shaft with an outside diameter of 100 mm and a wall thickness of 10 mm is

subjected to a pure torque of T = 5,500 N-m.

(a) Determine the maximum shear stress in the hollow shaft.

(b) Determine the minimum diameter of a solid steel shaft for which the maximum shear stress is the same as in part (a) for the same torque T. Problem III

Problem IV

Problem V A hollow steel shaft with an outside diameter of 85 mm and a wall thickness of 10 mm is subjected to a

pure torque of T = 7,000 N-m. The shear modulus of the steel is G = 80 GPa. Determine:

(a) the maximum shear stress in the shaft.

(b) the magnitude of the angle of twist in a 2.5-m length of shaft. Problem VI A solid stainless steel [G = 12,500 ksi] shaft that is 72-in. long will be subjected to a pure torque of T =

900 lb-in. Determine the minimum diameter required if the shear stress must not exceed 8,000 psi and the

angle of twist mu

minimum diameter.

Problem VII

Problem VIII

Problem IX

Problem X

Problem XI

Problem XII