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220F09_H06-09

# 220F09_H06-09 - Segment AC is 5 in long and has a diameter...

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H.06: A solid, circular, brass shaft ACB is fixed rigidly at both ends. The shaft has a length of 1.2 m and a diameter of 50 mm. A torque of 300 N-m is applied at point C, which is 0.4 m from end A. Determine (a) the reaction torques at both ends, and (b) the maximum angle of twist.

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H.07: A composite shaft AB consists of an aluminum tube (jacket) fully bonded to a solid steel core. The tube has an outer diameter of 72 mm and an inner diameter of 54 mm, and the core has a diameter of 54 mm. Both the tube and the core extend the full length of the shaft. A torque of T = 4 kN-m is applied at end A, and the shaft is fixed to the wall at end B. Assume a shear modulus of 77 GPa for steel and 27 GPa for aluminum. Calculate (a) the maximum shear stress in the steel, (b) the maximum shear stress in the aluminum, and (c) the angle of twist at A.
H.08: The stainless steel shaft ACDB is made from two segments.

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Unformatted text preview: Segment AC is 5 in long and has a diameter of 0.5 in, and segment CDB is 20 in long and has a diameter of 1 in. The shaft is fixed at ends A and B and subjected to a torque of 500 lb-ft at point D. Determine (a) the reaction torques at A and B, and (b) the maximum shear stress in the shaft. H.09: A composite shaft AB consists of a steel jacket (tube) fully bonded to a solid aluminum core. The jacket has a thickness of 1/16 in, and the core has a diameter of 2.5 in. Both the jacket and the core extend the full length of the shaft. A torque T is applied at B, and the shaft is fixed to the wall at A. The allowable shear stress is limited to 7 ksi in the steel and 3 ksi in the aluminum. Assume G is 11.2 × 10 6 psi for steel and 3.7 × 10 6 psi for aluminum. Find (a) the largest torque T which may be applied to the shaft, and (b) the corresponding angle of twist at B....
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220F09_H06-09 - Segment AC is 5 in long and has a diameter...

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