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

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; !;<br />

<strong>and</strong> relationships (1.46) assume the form ,<br />

I j br+ MI ±. I;<br />

I + (1.48)<br />

For the uniaxial stressed state<br />

5' ''<br />

!, -x+aAt; ) (1.49)<br />

<strong>The</strong> results obtatned have simple physical meaning.<br />

In generalized fci'm they can be jýresented as<br />

"Y , (1 .50)<br />

where e is the thermal deformation <strong>of</strong> a free part; y is elastic<br />

"deformafion <strong>of</strong> a part occurring due to contained thermal deformation.<br />

Thus, the tolal deformation <strong>of</strong> the heated part is made up <strong>of</strong><br />

its free thermal expansion <strong>and</strong> 'elastic deformation due !to<br />

the containment <strong>of</strong> this deformation.<br />

<strong>The</strong>rmal stresses<br />

are determined only by the-elastic component<br />

<strong>of</strong>' deformation. Finding it Ls the basic difficulty in analysis.<br />

<strong>The</strong>rmal deformation c is<br />

always known; for example, for a rod<br />

0 ,<br />

This sirmplifies obtaining a numerical result.<br />

<strong>The</strong> rules <strong>of</strong><br />

the qtressed state <strong>of</strong> a heated part show a substantial 'difference<br />

8r4

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