Answered: Aluminum collar Brass core 350 mm 25 mm…

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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Question

A cylindrical assembly consisting of a brass
core and an aluminum collar is compressed by a load
P (see figure). The length of the aluminum collar
and brass core is 350 mm, the diameter of the core
is 25 mm, and the outside diameter of the collar is
40 mm. Also, the moduli of elasticity of the aluminum
and brass are 72 GPa and 100 GPa, respectively.
(a) If the length of the assembly decreases by 0.1%
when the load P is applied, what is the magnitude
of the load?
(b) What is the maximum permissible load Pmax if
the allowable stresses in the aluminum and brass
are 80 MPa and 120 MPa, respectively?

Aluminum collar
Brass core
350 mm
25 mm
40 mm

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