Abstract

In the membrane theory of a shell in form of a surface of revolution, using a relation between the fundamental magnitudes of a surface and by the selection of some suitable variable, it is shown that in general the equ. of stress resultant, the equ. of deformation and the equ. of neutral surface will be reducible to a differential equ. of second order with an invariant R23/R1. Particurally, when the invariant is equal to a constant, the form of shell is a quadrics of revolution, and by this result the general solution of stress and deformation of shell in the form of a quadrics of revtion under an arbitary distributed load is obtained. Furthermore the dispersion of stress under olua concentrated load is analyxed by the method of complex variable.

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