If the allowable shear strength of aluminum is 45 MPa, determine the minimum thickness, t, of the aluminum jacket, that can carry the torque. 2) What must be the minimum shear strength of steel such that the aluminum jacket will fail first? 3) Determine the maximum angle of twist that can be applied to the shaft.
If the allowable shear strength of aluminum is 45 MPa, determine the minimum thickness, t, of the aluminum jacket, that can carry the torque. 2) What must be the minimum shear strength of steel such that the aluminum jacket will fail first? 3) Determine the maximum angle of twist that can be applied to the shaft.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A composite shaft shown, composed of a steel (G = 77 GPa) core inside an aluminum (G = 25 GPa) jacket, carries a torque, T = 10 kN-m. The shaft is designed such that the aluminum jacket will fail first upon the application of the torque.
1) If the allowable shear strength of aluminum is 45 MPa, determine the minimum thickness, t, of the aluminum jacket, that can carry the torque.
2) What must be the minimum shear strength of steel such that the aluminum jacket will fail first?
3) Determine the maximum angle of twist that can be applied to the shaft.
Transcribed Image Text:54mm
Steel core
A
Aluminum jacket'
T
5m
B
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Step 1: For parallel arrangement of aluminum and steel shaft, angle of twist for both will be equal in value
VIEWStep 2: Write the net torque equation for composite shaft.
VIEWStep 3: Write the equation for maximum allowable shear stress for aluminum shaft.
VIEWStep 4: Calculate the torque in each shaft.
VIEWStep 5: Calculate the minimum shear strength of steel such that the aluminum jacket will fail first.
VIEWStep 6: Determine the maximum angle of twist that can be applied to the shaft.
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