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 d2 = 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.]

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 d2 = 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.]

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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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Formulate the equation of angle of twist at end C with respect to A in terms of T

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.

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.]

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