The State of Stress in Full Heads of Pressure Vessels

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Abstract
After a brief survey of the significant experiments upon which a comparison with the theory developed is to be based and a statement of the problem, the author derives expressions for stresses and displacements at any point of a thin-walled pressure vessel. Assuming that the shell offers no resistance to bending, an analysis is made considering it as a membrane. A study of the resulting equations indicates that in the neighborhood of the junction of head and cylinder, bending couples result, so that the plates may not be considered as membranes, at least in this locality. This leads to a consideration of the local effects of the reactions set up at the junction, the head and cylinder being considered as surfaces capable of carrying bending stresses with loads which are uniformly distributed edge shearing forces and bending couples. The resultant effect at any point is obtained by superposition. An illustrative example is given.

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