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

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I _ . .. .. .. .. . -- - I .. . -_<br />

II<br />

! I<br />

. I<br />

-I<br />

a• I It is known that ýuch a rigid attachmenti <strong>of</strong> the shell correspor)dto<br />

the'conditions when elastic <strong>and</strong> thermal strains are equal buit<br />

opposite in sign:<br />

W O; W1-- --- rAt:<br />

S, (5..13)<br />

Tn4 asterisks ildicate that bends are obtained during'the ýigid<br />

attachment <strong>of</strong> the'shell. Let us find the wall rea~tion<br />

holds t1e shell in<br />

,from pressure PRt' in general'form, is<br />

"Rt' which<br />

a compressed pndeformed state. ,Shell deformation<br />

S•'--=A'AIt=ABx",<br />

where A'is a coefficidnt.-<br />

z<br />

Zf<br />

r• , 9) ( a ) A 0 D ( , ." )<br />

At,<br />

Fig. 5.14.<br />

S, , wIV<br />

SFoý the itudied case w = 0; then bend w* caA be jetei'inined'<br />

I' from equation ,<br />

"U)*-fV E v=<br />

r 2 D,<br />

•D<br />

assuming w*IV'<br />

O:=0<br />

a ..<br />

W =W'-1+944-44, , since w 0 9 =0 , <strong>and</strong> -w-=O, H ' -U, P D t<br />

0 .<br />

rl i 'D<br />

a<br />

hence<br />

- 52 3<br />

I ,

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