#2-14. Normal Strain in rods constrained by walls with misfit At its initial temperature, the bar is too long by a distance of 8 to fit into the gap between the rigid walls, which are separated by distance L. In order to make it fit tightly, the bar is cooled to a very low temperature so that it shrinks enough to fit easily into th gap. After it is fit in the gap, the temperature of the bar is raised to a temperature AT below the initial temperature and the bar tight between the walls. What is the stress o in the bar at this temperature AT'? The bar has elastic modulus E = 35 10³ ksi, thermal expansion coefficient a = 6.10-6/°F and cross-sectional area A = 1 in². Use L 10 in, 8 = 3. 10-2 in and AT = -200 °F. L L

Materials Science And Engineering Properties
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ISBN:9781111988609
Author:Charles Gilmore
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Chapter6: Introduction To Mechanical Properties
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# 2-14. Normal Strain in rods constrained by walls with misfit
At its initial temperature, the bar is too long by a distance of 8 to fit into the gap between the rigid walls, which are separated by a
distance L. In order to make it fit tightly, the bar is cooled to a very low temperature so that it shrinks enough to fit easily into the
gap. After it is fit in the gap, the temperature of the bar is raised to a temperature AT below the initial temperature and the bar fits
tight between the walls. What is the stress in the bar at this temperature AT?
The bar has elastic modulus E = 35. 10³ ksi, thermal expansion coefficient a = 6.10-6 /°F and cross-sectional area
A = 1 in². Use L = 10 in, 8 = 3 . 10-² in and AT = -200 °F.
0 =
ksi
L
Initial AT=0
L
Final AT
Transcribed Image Text:# 2-14. Normal Strain in rods constrained by walls with misfit At its initial temperature, the bar is too long by a distance of 8 to fit into the gap between the rigid walls, which are separated by a distance L. In order to make it fit tightly, the bar is cooled to a very low temperature so that it shrinks enough to fit easily into the gap. After it is fit in the gap, the temperature of the bar is raised to a temperature AT below the initial temperature and the bar fits tight between the walls. What is the stress in the bar at this temperature AT? The bar has elastic modulus E = 35. 10³ ksi, thermal expansion coefficient a = 6.10-6 /°F and cross-sectional area A = 1 in². Use L = 10 in, 8 = 3 . 10-² in and AT = -200 °F. 0 = ksi L Initial AT=0 L Final AT
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