the torque acting on the shaft; ii) the required external and internal diameters for the shaft; iii) the torsional shear stress set-up in the shaft material at the inside surface of the hollow shaft, and sketch the stress distribution through the shaft wall; iv) the angle of twist (in degrees) due to the torque.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...
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A hollow steel shaft of length 1.75 m transmits 2000 kW of power at a speed of
150 rev/min. The inside diameter is to be 0.75 times the outside diameter. The
maximum allowable torsional shear stress for the steel is 130 MN/m2
and the
modulus of rigidity (G) for the steel is 83 GN/m2
. Given that a factor of safety of
2 is required for the shaft, determine:
i) the torque acting on the shaft;

ii) the required external and internal diameters for the shaft;

iii) the torsional shear stress set-up in the shaft material at the inside surface
of the hollow shaft, and sketch the stress distribution through the shaft
wall;

iv) the angle of twist (in degrees) due to the torque.

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