Minimum-weight proportions of pressure-vessel heads.

by George A. Hoffman

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A derivation of minimum-weight shapes of head closures for cylindrical pressure vessels. Tori- spherical, ellipsoidal, and Biezeno-type heads with constant and varying thickness are investigated, with constancy of enclosed volume and supporting structure being considered. This study, which has applications in the design of rocket booster tanks, indicates possible weight savings of 5 to 11 per cent over a reference least-thick hemispherical head.

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