Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar reaches its final temperature.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters
shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature
of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar
reaches its final temperature.
Young's Modulus (ksi)
Coeff. Thermal Exp. (/°F) | 12.9×10-6
A
Aluminum Bronze
10,600 15,000
11.1×106 9.6×10-6
2014-T6 Aluminum
12 in.
4 ft
Stainless Steel
28,000
B
C 86100 Bronze
8 in.
6 ft
304 Stainless
steel
C
4 in.
3 ft
D
Transcribed Image Text:Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar reaches its final temperature. Young's Modulus (ksi) Coeff. Thermal Exp. (/°F) | 12.9×10-6 A Aluminum Bronze 10,600 15,000 11.1×106 9.6×10-6 2014-T6 Aluminum 12 in. 4 ft Stainless Steel 28,000 B C 86100 Bronze 8 in. 6 ft 304 Stainless steel C 4 in. 3 ft D
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