A tube of porcelain is constrained to expand when it is heated from room temperature (25 °C) to 1000 °C. Determine the stress developed in the tube.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A tube of porcelain is constrained to expand when it is heated from room
temperature (25 °C) to 1000 °C. Determine the stress developed in the tube.
Transcribed Image Text:A tube of porcelain is constrained to expand when it is heated from room temperature (25 °C) to 1000 °C. Determine the stress developed in the tube.
Material
Metals a
Aluminum
Copper
Gold
Nickel
Silver
Tungsten
Ceramics and glassesa,b
Mullite (3Al2O3.2SiO2)
Porcelain
Fireclay refractory
Al2O3
Spinel (MgO.Al2O3)
MgO
UO2
ZrO₂ (stabilized)
SiC
Silica glass
Soda-lime-silica glass
& [mm/(mm.°C) × 106]
527°C (800 K)
Temperature = 27°C (300 K)
23.2
16.8
14.1
12.7
19.2
4.5
33.8
20.0
16.5
16.8
23.4
4.8
0-1,000°C
5.3
6.0
5.5
8.8
7.6
13.5
10.0
10.0
4.7
0.5
9.0
Transcribed Image Text:Material Metals a Aluminum Copper Gold Nickel Silver Tungsten Ceramics and glassesa,b Mullite (3Al2O3.2SiO2) Porcelain Fireclay refractory Al2O3 Spinel (MgO.Al2O3) MgO UO2 ZrO₂ (stabilized) SiC Silica glass Soda-lime-silica glass & [mm/(mm.°C) × 106] 527°C (800 K) Temperature = 27°C (300 K) 23.2 16.8 14.1 12.7 19.2 4.5 33.8 20.0 16.5 16.8 23.4 4.8 0-1,000°C 5.3 6.0 5.5 8.8 7.6 13.5 10.0 10.0 4.7 0.5 9.0
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