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

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<strong>of</strong> the heat-transfer agcnt or the coolant. This affects the value<br />

<strong>of</strong> the full load acting on the plate, as well as the rigidity <strong>and</strong><br />

supporting capacity, <strong>and</strong> must be allowed for in calculations.<br />

Let us estimate Lhe pressure decrease <strong>of</strong> the plate due to its<br />

perforations. If' the pressure drop on the plate p is known, then<br />

2<br />

the force on a continuous plate (Fig. 2.56) P = prb<br />

<strong>The</strong> force acting on part <strong>of</strong> the plate, with allowance for the<br />

decrease in its surface due to perforatlons, is<br />

i.[ ~ ~~P. 11 (bM-nr)<br />

where r <strong>and</strong> n are the radius <strong>and</strong> number <strong>of</strong> openings in<br />

elements for the passage <strong>of</strong> the heat transfer agent.<br />

the fuel<br />

Equivalent to this force, the conditional piessure which<br />

acts on the perforated part <strong>of</strong> the plate, if we assume it is con-<br />

2 2 2<br />

tinuous, we find from the expression Pn= plr(b - nr 2 p bn:<br />

nr2N<br />

p 1--~i p<br />

(2.77)<br />

then<br />

If the entire load-oearing plate is covered with openings,<br />

<strong>The</strong> diagram <strong>of</strong> pressures on the load-bearing plate, thus, nas<br />

a stepped character, <strong>and</strong> we shall deal with the analysis <strong>of</strong> a plate<br />

with variable loading. Usually the radius at bn is near b; therefore,<br />

pressure p is assumed constant.<br />

Let us evaluate the reduction in plate rigidity.<br />

183

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