A 1.5 inch diameter solid shaft is made of Aluminum 2014-T6, if the maximum allowable shear stress is 25ksi and the factor of safety is 3, and the torques across the length of the shaft are T/3, -T, 2T/3 and the distances between the torques are 12 inches, and the angle of twist is limited so that it does not exceed 0.1 rads. Determine the maximum allowable torque T in the shaft.
A 1.5 inch diameter solid shaft is made of Aluminum 2014-T6, if the maximum allowable shear stress is 25ksi and the factor of safety is 3, and the torques across the length of the shaft are T/3, -T, 2T/3 and the distances between the torques are 12 inches, and the angle of twist is limited so that it does not exceed 0.1 rads. Determine the maximum allowable torque T in the 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 3.3.12P: 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 1.5 inch diameter solid shaft is made of Aluminum 2014-T6, if the maximum allowable shear stress is 25ksi and the factor of safety is 3, and the torques across the length of the shaft are T/3, -T, 2T/3 and the distances between the torques are 12 inches, and the angle of twist is limited so that it does not exceed 0.1 rads. Determine the maximum allowable torque T in the shaft.
Expert Solution
Step 1
Given:
The diameter of solid shaft, d = 1.5 inch
The maximum allowable stress, τ = 25 ksi
The factor of safety, n = 3
The torque across the lengths, T1 = T/3, T2 = -T and T3 = 2T/3
The distance between the torque, L = 12 in
The maximum angle of twist, θ = 0.1 rad
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