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

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Ir dp;-<br />

N,=<br />

N, .(-N,,lr d$ + d (3,Ir dcp);<br />

NM=a,! dr;<br />

N, = *,r- d( dr.<br />

We shall project these forces onto the vertical axis:<br />

ilr do-L- ý,lr d. -ý- d (;,Ir d?)<br />

- z ÷r'-- O.<br />

2<br />

After reducing all terms by 4 <strong>and</strong> d,, <strong>and</strong> replacing sin d,) d)<br />

<strong>and</strong> d(o rr) = do r + ardr, we obtain the equation<br />

(2.82)<br />

which connects the two unknown stresses. We have three unknowns;<br />

therefore, we shall seek a second equation. Let us proceed to the<br />

strain <strong>of</strong> this element.<br />

P'4 O' N/mn 2<br />

••<br />

.gr.+ dNr<br />

2,<br />

.* NM<br />

I00040 h '"-•.<br />

a)<br />

Fig. 2.63. Ampoule analysis. Fig. 2.64. Ampoule<br />

element.<br />

196

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