Statements in the literature appear to imply that the numerical value of the circumferential stress in thick-walled cylinders is always a maximum at the inner radius. While this is certainly correct in the case of zero external pressure, the presence of both external and internal pressures creates the possibility of a numerically larger tangential stress occurring at the outer radius. This paper investigates this possibility and establishes a criterion for a check on the location of the numerical tangential stress maximum. A chart is presented for its convenient application.

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