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

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t<br />

If we substitute expression (2.15) into (2.10), we obtain the<br />

calculation formulas for this case also. <strong>The</strong> result is presented<br />

in Chapter V, relation (5.89).<br />

Example 2.1. Find the .thermal stresses in the disk, assuming<br />

n=1I <strong>and</strong> -it .14<br />

As a result <strong>of</strong> calculation, we obtain<br />

r=a; z,=O; = -Ea'o.0,.%; r= I; I,=r ; 0.;EaAt0.,13.<br />

A stress diagram is shown in Fig. 2.1ob. <strong>The</strong> crosshatched lines<br />

show the stresses if a = 0.<br />

Thick-walled cylindrical fuel elements<br />

ar' Or,<br />

<strong>The</strong> quantities <strong>The</strong>~~ E, E a, ,A, ~ At, qunite a t .T. are given (Fig. 2.17). Find<br />

a cx. We assume that temperature distribution At is symmetric<br />

relative to the axis <strong>of</strong> the cylinder <strong>and</strong> does not change in<br />

direction <strong>of</strong> its<br />

axis.<br />

the<br />

• -•",• ... -- _.._ ._<br />

At<br />

to~<br />

(a) tMLn (b)<br />

Fig. 2.16. <strong>The</strong>rmal stresses.<br />

We assume that at a sufficient distance from the ends the cross<br />

sections <strong>of</strong> the cylinder are flat, i.e.,<br />

we shall consider the part<br />

118

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