Design and Stress Analysis of Extraterrestrial ... - The Black Vault

EuI~, 21,2
Eat,
• bb
2-(1 ---xInb14 j12 a-a a (2.20)
When r = b
Eat, 20_ In-
2(1-p)Inb!a 12--a 2 a (2.21)
If the wall thickness is small as compared with the external
radius of the cylinder, formulas (2.20) and (2.21) can be simplified,
assuming
-= 1 tn; in 1 Mn
a a 2 3
and considering m a small quantity.
Then when r = a
S(1
(2.2?)
and when r = b
Ea'a
I
If the is of the cylinder are very thin, we disregard th5•
term m/3 in expressions (2.22) and (2.23). Then for surfaces r -I
and r = b we obtain, respectively,
Eat.,,(2 2 )
C;'b - xb- (2 21
2(1 -1.)
These thermal stresses will be distributed throughout the thichness
the same as in a two-dimensional plate or a thin shell with ,
linear law of temperature distribution.
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