Abstract
The linear membrane solution is known to be inadmissible in the case of a toroidal shell of circular cross-section under uniform hydrostatic pressure, as it leads to a serious violation of the compatibility condition. This paper shows that the compatibility can be restored by a slight change in the meridian of the shell, rather than by resorting to bending or non-linear membrane theories. Exact solutions, within the linear shell theory, are given for the shape of the meridian, stresses and displacements.
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