Hollow Shaft

1.A hollow circular shaft of 30mm outside diameter and 20mm inside diameter is subjected to torque of 40N.m. Find the shear stress at outside surface and at inside surface of the shaft.

{ Ans: }

Prob 2. A hollow shaft is to transmit 200 kW at 80 RPM. If the shear stress is not to exceed 60 MPa and internal diameter is 0.6 of the external diameter, find the diameter of the shaft.

{ Ans:D=132 mm,d= 79.2 mm}

Prob 3: A hollow shaft of diameter ratio ⅗ is required to transmit torque of 61465 N-m. the shear stress is not to exceed 63 MPa and twist in a length of 3m diameter is 1.4 degrees. Calculate the minimum external diameter satisfying these conditions Take G=84 Gpa.

{ Ans: Based on shear D=178.72 & d=107.23mm , Based on rigidity D=180.13 & 108.07 mm }

Prob 4: A hollow shaft is required to transmit a torque of 36 kN-m. The inside diameter is 0.6 times the external diameter. Calculate both diameters if the allowable shear stress is 83 MPa.

{Ans: D=.136.40, d=.81.84 mm. }

Prob 5: A hollow shaft is required to transmit a torque of 40 kN-m. The inside diameter is 0.5 times the external diameter. Calculate both diameters if the allowable shear stress is 50 MPa.

{Ans: D=163.19 mm, d=97.91 }