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

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'<br />

ii<br />

ii<br />

-" A<br />

r|<br />

Fig. 3.20. Compensation <strong>of</strong> gas- M , '<br />

dynamic bending moments by<br />

moments from centrifuqal. forces.' "<br />

Total stresses <strong>and</strong> safety factors <strong>of</strong> blades<br />

In each cross section <strong>of</strong> a blade the total stresstis defined'<br />

as the sum <strong>of</strong> tensile <strong>and</strong> bending stresses:<br />

4 UP= + (T.u- (3.17)<br />

<strong>The</strong> safety factor is determined from expression<br />

a , (3.18)<br />

t<br />

where at is the rupture strength <strong>of</strong> the blade material taking<br />

into account temperature <strong>and</strong> time.<br />

Obviously the safety factor <strong>of</strong> the blade along the radius will<br />

not remain constant; it will change depending upon the variation <strong>and</strong><br />

stresses a along the radius <strong>and</strong> the quantity at 3 ' due tT the<br />

variable temperature <strong>of</strong> the blade (Fig. 3.21). Usually the mininium<br />

safety factor is n = 1,2-1.5 <strong>and</strong> corresponds to the unsafe sections<br />

<strong>of</strong> the blade.<br />

For turbine blades the unsafe section, . counting. from<br />

the root, is approximately 20-30% <strong>of</strong> the length' <strong>of</strong> the blade.<br />

257

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