Problem 2: A copper rod is fixed at its bottom, and is separated from an upper surface by a gap. At room temperature (25 C) the rod has length L = 120 mm and the gap g = 0.1 mm. Rod has A = 40 mm², E= 120 GPa, and, thermal coefficient of expansion is 17 x 10“ /C. Determine the stress in the rod if the rod is heated to 100C. (a) (b) To what maximum temperature can the rod be raised without developing any stress? (c) Draw the state of stress on a volume element along the length of the rod, when it is stressed.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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I.
Problem 2: A copper rod is fixed at its bottom, and is separated from an upper surface by a gap.
At room temperature (25 C) the rod has length L = 120 mm and the gap g = 0.1 mm. Rod has A = 40 mm?,
E= 120 GPa, and, thermal coefficient of expansion is 17 x 10* /C.
(a)
Determine the stress in the rod if the rod is heated to 100C.
L
(b)
To what maximum temperature can the rod be raised without developing any stress?
(c)
Draw the state of stress on a volume element along the length of the rod, when it is stressed.
Transcribed Image Text:I. Problem 2: A copper rod is fixed at its bottom, and is separated from an upper surface by a gap. At room temperature (25 C) the rod has length L = 120 mm and the gap g = 0.1 mm. Rod has A = 40 mm?, E= 120 GPa, and, thermal coefficient of expansion is 17 x 10* /C. (a) Determine the stress in the rod if the rod is heated to 100C. L (b) To what maximum temperature can the rod be raised without developing any stress? (c) Draw the state of stress on a volume element along the length of the rod, when it is stressed.
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