A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm respectively and transmits 8000 kW at 100 r/min. Calculate the maximum shear stress in the hollow shaft. Calculate the shear stress on the inner surface of the hollow shaft. Determine the maximum length of this shaft if the maximum shear stress as well as an angle of twist of 3° is not to be exceeded. (G = 80 GPa)

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 shaft for marine applications has outer and inner diameters of 400 mm and 200 mm
respectively and transmits 8000 kW at 100 r/min.
Calculate the maximum shear stress in the hollow shaft.
Calculate the shear stress on the inner surface of the hollow shaft.
Determine the maximum length of this shaft if the maximum shear stress as well as an
angle of twist of 3° is not to be exceeded. (G = 80 GPa)
If this shaft is connected to a similar shaft, 1 m long, through a 10-bolt rigid flange
coupling, determine the minimum standard bolt diameter if the pitch circle diameter of
the coupling is pcd = 450 mm and the allowable shear stress in the bolts should not
exceed 55 MPa.
Determine the equivalent torsional stiffness of the shaft assembly.
Transcribed Image Text:A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm respectively and transmits 8000 kW at 100 r/min. Calculate the maximum shear stress in the hollow shaft. Calculate the shear stress on the inner surface of the hollow shaft. Determine the maximum length of this shaft if the maximum shear stress as well as an angle of twist of 3° is not to be exceeded. (G = 80 GPa) If this shaft is connected to a similar shaft, 1 m long, through a 10-bolt rigid flange coupling, determine the minimum standard bolt diameter if the pitch circle diameter of the coupling is pcd = 450 mm and the allowable shear stress in the bolts should not exceed 55 MPa. Determine the equivalent torsional stiffness of the shaft assembly.
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