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Derive the equation of internal torques of section AB, i.e. torque for brass sleeve Tb and torque for steel shaft Ts in terms of T using the compatibility equation.

Derive the equation of internal torques of section AB, i.e. torque for brass sleeve Tb and torque for steel shaft Ts in terms of T using the compatibility equation.

Elements Of Electromagnetics
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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Derive the equation of internal torques of section AB, i.e. torque for brass sleeve Tb and torque for steel shaft Ts in terms of T using the compatibility equation.


[Note: Please include the matric number and corresponding Gs value.]

A composite shaft consists of a brass sleeve securely bonded to half steel shaft, fixed at end A as shown in Figure 1. The brass sleeve and steel shaft have a modulus rigidity Gs = 40 GPa and G. = x0 GPa. The length of the assembly is L = 400 mm. The outer diameters of the shaft and sleeve are di = 70 mm and d = 90 mm, respectively. Given the shear stress of brass is th= 70 MPa and shear stress of steel is t,= 110 MPa. [Note: x value - Use the last non-zero digit from your matric number. If the number is zero, use the second last digit instead. For example, if your matric number is B051810204, your x value is 4 and G, = 40 GPa; if your matric number is B051810090, your x value is 9 and G, = 90 GPa.]
Transcribed Image Text:A composite shaft consists of a brass sleeve securely bonded to half steel shaft, fixed at end A as shown in Figure 1. The brass sleeve and steel shaft have a modulus rigidity Gs = 40 GPa and G. = x0 GPa. The length of the assembly is L = 400 mm. The outer diameters of the shaft and sleeve are di = 70 mm and d = 90 mm, respectively. Given the shear stress of brass is th= 70 MPa and shear stress of steel is t,= 110 MPa. [Note: x value - Use the last non-zero digit from your matric number. If the number is zero, use the second last digit instead. For example, if your matric number is B051810204, your x value is 4 and G, = 40 GPa; if your matric number is B051810090, your x value is 9 and G, = 90 GPa.]
Brass sleeve d: = 90mm di = 70mm Steel shaft T B I = 200mm I- 200mm Figure 1: A compound of shaft consisting brass sleeve and steel shaft.
Transcribed Image Text:Brass sleeve d: = 90mm di = 70mm Steel shaft T B I = 200mm I- 200mm Figure 1: A compound of shaft consisting brass sleeve and steel shaft.
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