The gap between the wall and the 1Omm diameter aluminum rod below is 0.6mm. If the temperature increases by 14 °C, what stress will be generated in the rod? (Hint: What temperature change will result in the rod touching the walI? What happens after that?) [E = 68.9 GPa, Coef. of Therm Exp = 24 x 10^-6 /° C] L= 1 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...
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The
gap between the wall and the 1Omm diameter aluminum rod below is 0.6mm. If the temperature
increases by 14 °C, what stress will be generated in the rod? (Hint: What temperature change will
result in the rod touching the walI? What happens after that?) [E = 68.9 GPa, Coef. of Therm Exp = 24
x 10^-6 /° C]
L= 1 m
Transcribed Image Text:The gap between the wall and the 1Omm diameter aluminum rod below is 0.6mm. If the temperature increases by 14 °C, what stress will be generated in the rod? (Hint: What temperature change will result in the rod touching the walI? What happens after that?) [E = 68.9 GPa, Coef. of Therm Exp = 24 x 10^-6 /° C] L= 1 m
Expert Solution
Step 1

Write the given information.

Mechanical Engineering homework question answer, step 1, image 1

Write the expression of expansion of rod due to free expansion due to the change in temperature.

Mechanical Engineering homework question answer, step 1, image 2

Understand that the gap between the wall and the aluminum rod is 0.6 mm and the free expansion due to change in temperature is 0.336 mm. Thus, there will be no stress generated in the rod.

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