A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer radius 2 equal to 1.5 times the inner radius n. (a) If the maximum shear strain in the tube is measured as 400x10 rad, what is the shear strain y: at the inner surface? (b) If the maximum allowable rate of twist is 0.125 degrees per meter and the maximum shear strain is to be kept at 400x10° rad by adjusting the torque T, what is the minimum required outer radius (12) min? Figure 2: cylindrical shaft

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 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius...
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A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer
radius 12 equal to 1.5 times the inner radius n.
(a) If the maximum shear strain in the tube is measured as 400x10" rad, what is the shear
strain y, at the inner surface?
(b) If the maximum allowable rate of twist is 0.125 degrees per meter and the maximum
shear strain is to be kept at 400x105 rad by adjusting the torque T, what is the minimum
required outer radius (12) min?
Figure 2: cylindrical shaft
Transcribed Image Text:A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer radius 12 equal to 1.5 times the inner radius n. (a) If the maximum shear strain in the tube is measured as 400x10" rad, what is the shear strain y, at the inner surface? (b) If the maximum allowable rate of twist is 0.125 degrees per meter and the maximum shear strain is to be kept at 400x105 rad by adjusting the torque T, what is the minimum required outer radius (12) min? Figure 2: cylindrical shaft
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