This paper presents a solution for the problem of three cylindrical shells, one of which is slotted lengthwise. With slot length as one of the parameters, the solution includes the solid three-shell problem as a particular case. The results are applicable to the stress problem of a closed-end vessel supported either by a slotted or an ordinary skirt, or one that is mounted on top of another vessel. It is shown that slotting substantially reduces the critical stress at the junction.

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