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Treat the nozzle neck as a cylindrical shell and find the required thickness per rules of UG-28.
As you indicate, UG-37(d) specifies that the area required for external pressure condition is 1/2 of that as given in the formula in UG-37(c). But note that the required thickness of the shell, "tr", to be used for the calculation is that based on the external pressure, thus the actual area required may be more than you may expect. I have seen some people incorrectly determine "tr" based on formula for internal pressure, not external pressure.
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