A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops to -20°C, determine a. The normal stress in the rod. Ans. 74.96 MPa (T) b. The change in diameter of the rod. Ans. +0.0228 mm

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
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A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is
attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when
stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops
to -20°C, determine
a.
The normal stress in the rod. Ans.
74.96 MPa (T)
b. The change in diameter of the rod. Ans.
+0.0228 mm
Transcribed Image Text:A 6-m long x 50-mm-diameter rod of aluminum alloy [E = 70 GPa, v = 0.346, and a = 22.5 x 10-6/°C] is attached at the ends to supports that yield to permit a change in length of 1.00 mm in the rod when stressed. When the temperature is 35°C, there is no stress in the rod. After the temperature of the rod drops to -20°C, determine a. The normal stress in the rod. Ans. 74.96 MPa (T) b. The change in diameter of the rod. Ans. +0.0228 mm
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The final answer in letter b must be +0.0228 mm.

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