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The two cylindrical rod segments shown in the figure below (Figure 1) are fixed to the rigid walls such that there is a gap of 0.01 in.between them when T1=65∘F. Each rod has a diameter of 1.5 in. Take αal=13(10−6)/∘F, Eal=10(103)ksi, (σY)al=40ksi, αcu=9.4(10−6)/∘F, (σY)cu=50ksi, and Ecu=15(103)ksi. 1) Part A: What larger temperature T2 is required in order to just close the gap? 2) Part B: Determine the magnitude of the average normal stress in each rod if T2=270∘F.

The two cylindrical rod segments shown in the figure below (Figure 1) are fixed to the rigid walls such that there is a gap of 0.01 in.between them when T1=65∘F. Each rod has a diameter of 1.5 in. Take αal=13(10−6)/∘F, Eal=10(103)ksi, (σY)al=40ksi, αcu=9.4(10−6)/∘F, (σY)cu=50ksi, and Ecu=15(103)ksi. 1) Part A: What larger temperature T2 is required in order to just close the gap? 2) Part B: Determine the magnitude of the average normal stress in each rod if T2=270∘F.

Elements Of Electromagnetics
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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The two cylindrical rod segments shown in the figure below (Figure 1) are fixed to the rigid walls such that there is a gap of 0.01 in.between them when T1=65∘F. Each rod has a diameter of 1.5 in. Take αal=13(10−6)/∘F, Eal=10(103)ksi, (σY)al=40ksi, αcu=9.4(10−6)/∘F, (σY)cu=50ksi, and Ecu=15(103)ksi.

1) Part A: What larger temperature T2 is required in order to just close the gap?

2) Part B: Determine the magnitude of the average normal stress in each rod if T2=270∘F.

The image shows a side-by-side diagram of two connected cylindrical rods. The left rod is labeled "Copper" and measures 12 inches in length. The right rod is labeled "Aluminum" and measures 6 inches in length. The rods are aligned horizontally and parallel to each other. The ends of the rods show they are in close proximity at the joint, with a very small gap of 0.01 inches between them. This illustrates a cross-section where the copper and aluminum rods are nearly touching but not quite connected.
Transcribed Image Text:The image shows a side-by-side diagram of two connected cylindrical rods. The left rod is labeled "Copper" and measures 12 inches in length. The right rod is labeled "Aluminum" and measures 6 inches in length. The rods are aligned horizontally and parallel to each other. The ends of the rods show they are in close proximity at the joint, with a very small gap of 0.01 inches between them. This illustrates a cross-section where the copper and aluminum rods are nearly touching but not quite connected.
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