Answered: t constant dg - 2t B T -L- dg (а) 2 A T…

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 uniformly tapered aluminum-alloy tube
AB with a circular cross section and length L is shown
in the figure. The outside diameters at the ends are
d_A and d_B = 2d_A. A hollow section of length L/2 and
constant thickness t = d_A/10 is cast into the tube and
extends from B halfway toward A.
(a) Find the angle of twist ϕ of the tube
when it is subjected to torques T acting
at the ends. Use numerical values:
d_A = 2.5 in.,L = 48 in.,G = 3.9 x10⁶ psi, and
T = 40,000 in.-lb.
(b) Repeat part (a) if the hollow section has constant
diameter d_A (see figure part b).

t constant
dg - 2t
B
T
-L-
dg
(а)
2
A
T
T
dg
(b)

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