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

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;' -- e---<br />

1= -<br />

(20MO cosVxJr- Q 0 (cos ?X+ sin Pt)]<br />

22D ('(5.20)<br />

<strong>and</strong>, finally, when x = 0<br />

(5.21)<br />

If<br />

we introduce the following designations:<br />

.?=e-P(cos Px+ sfn.x); +=e-Px(cos px-sin x);<br />

O=e-Pxcosx; .= e-P-Ixsii ,x,<br />

the expressions for bend <strong>and</strong> its<br />

the following form:<br />

derivative can be represented in<br />

2D<br />

TD I<br />

D (5.22)<br />

<strong>The</strong> numerical values <strong>of</strong> functions q, I, 0 <strong>and</strong> 4 are presented<br />

In Table 5.1 [38].<br />

Fig. 5.17.<br />

Functions q <strong>and</strong> * are presented in<br />

Fig. 5.16, function ý in<br />

From the curves <strong>and</strong> the table it is apparent that the functions<br />

determining shell bend, with an increase in quantity Ox, approach<br />

zero. Consequently, bend has only a local character, as suggested<br />

initially, in the calculation <strong>of</strong> integration constants.<br />

528

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