6. A 2.5 in.-diameter steel propeller shaft of a boat transmits 2800 hp @ 1800 rpm. Bending and axial loads are negligible. Clearly draw and label necessary schematic diagrams and list necessary assumptions. (a) What is the shear stress at the surface of shaft? (b) If a hollow shaft of inside diameter 0.88 times outside diameter is used, what outside diameter would be required to give the same outer surface stress? (c) Compare weights of the solid and hollow shafts. What is % saving in weight of shaft material if hollow shaft is used? (d) As a design engineer, what important lesson have you learned from solving this this? (e) What is Polar Moment of Inertia?

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 3.7.5P: The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as...
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6. A 2.5 in.-diameter steel propeller shaft of a boat transmits 2800 hp @ 1800
rpm. Bending and axial loads are negligible. Clearly draw and label necessary
schematic diagrams and list necessary assumptions.
(a) What is the shear stress at the surface of shaft?
(b) If a hollow shaft of inside diameter 0.88 times outside diameter is used, what
outside diameter would be required to give the same outer surface stress?
(c) Compare weights of the solid and hollow shafts. What is % saving in weight of
shaft material if hollow shaft is used?
(d) As a design engineer, what important lesson have you learned from solving
this this?
(e) What is Polar Moment of Inertia?
Transcribed Image Text:6. A 2.5 in.-diameter steel propeller shaft of a boat transmits 2800 hp @ 1800 rpm. Bending and axial loads are negligible. Clearly draw and label necessary schematic diagrams and list necessary assumptions. (a) What is the shear stress at the surface of shaft? (b) If a hollow shaft of inside diameter 0.88 times outside diameter is used, what outside diameter would be required to give the same outer surface stress? (c) Compare weights of the solid and hollow shafts. What is % saving in weight of shaft material if hollow shaft is used? (d) As a design engineer, what important lesson have you learned from solving this this? (e) What is Polar Moment of Inertia?
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