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This is an interesting discusion indeed.
Let me contribute the Inspector's point of view, using the example of a pressure vessel to Section VIII Division 1, as I assume that the Appendix 2 McKenna is referencing, is from VIII-1.
The Code mandates the use of Appendix 2 calculations for bolted flanges under internal pressure, which are not any standard flanges like B16.5. You can make as many FEMs as you want, as an Inspector I do not have the authority to accept the design without the Appendix 2 calculation.
Only, and I mean ONLY, when the limits of Appendix 2 are exceeded, or the rules are not applicable, other methods can be used. And here comes U-2(g) into play, as Konrad has referenced very nicely.
For example, there is a WE flange made to the dimensions of the DIN flange standards DN100 from ASME material. The loads are internal pressure only. This flange shall be designed to Appendix 2, no doubt.
Another example: A rectangular shaped flange connection with some internal pressure, metal-to metal contact, external loads that dominate the design stresses and cyclic service. You will agree that the Appx 2 rules do not apply. in this case FEM can be used to prove that the stress limits from UG-23 are not exceeded. Do not forget to document the Computer program verification, and the Inspector can maye accept the design.
Clear? DK
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