A solid steel shaft, 90 mm in diameter is coupled in series to a hollow shaft with an external diameter of 100 mm and internal diameter of 90 mm. Calculate the torsional stiffness of 1 mm length of each of these shafts if they are used separately and compare this with the torsional stiffness of a 1 m length of the compound shaft consisting of a 0.5 m length of each of the shafts mentioned above. (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 3.8.8P: A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque...
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A solid steel shaft, 90 mm in diameter is coupled in series to a hollow shaft with
an external diameter of 100 mm and internal diameter of 90 mm. Calculate the
torsional stiffness of 1 mm length of each of these shafts if they are used
separately and compare this with the torsional stiffness of a 1 m length of the
compound shaft consisting of a 0.5 m length of each of the shafts mentioned
above. (G = 80 GPa)

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