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