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

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In some cases, it is assumed that the reduction.in rigidity for<br />

a perforated plate occurs as a result <strong>of</strong> the variation in E <strong>and</strong> p<br />

<strong>of</strong> the plate. For the problems which we are studying, it is feasible<br />

to attribute the decrease in rigidity to the decrease in plate<br />

thickness, which we shall designate h., <strong>and</strong> we shall find from the<br />

relation D.<br />

-- --- y - -- i4 :<br />

D<br />

h<br />

ii.isVi , (2.78)<br />

As has been mentioned, the value <strong>of</strong> y depends upon the geometric<br />

dimensions <strong>of</strong> the perforated plate <strong>and</strong> is .determined from formula<br />

[26]<br />

y=O,25(3+k) I- (<br />

(2.79)<br />

wheire d is<br />

s is<br />

k is<br />

the diameter <strong>of</strong> the opening;<br />

the step <strong>of</strong> the opening;<br />

the plate rigidity coefficient;<br />

k<br />

1,41<br />

1+ s(2.80)<br />

<strong>The</strong> variation in the coefficient k as a function <strong>of</strong> ratio <strong>of</strong><br />

plate thickness h to width <strong>of</strong> connecting neck (s - d) is shodn in<br />

Fig. 2.59a. As is apparent from formula (2.80), it varies f,,om<br />

zero to -1.<br />

<strong>The</strong> variation in the coefficient y as a function <strong>of</strong> the ratio<br />

<strong>of</strong> the diameters <strong>of</strong> the perforation opening to their step is shown<br />

in Fig. 2.59b. Usually the values <strong>of</strong> y fall within 0.1 to 0.5,<br />

which corresponds to the ratio (d/s) = 0.2-0.9.<br />

186

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