The ASME B&PV Section III Div.1 Code 2013 Edition is currently approved in 10CFR50.55(a).
The 2013 edition, permits elastic FEA per NB-3200 in place of the stress equations of NB-3600, as follows:
For pressure design - “NB-3611.2 Acceptability When Stresses Exceed Stress Limits. When the stresses as determined by the methods given in NB-3630 exceed the limits thereof, the design can be accepted, provided it meets the requirements of NB-3200.”
For shakedown check Eq. (10)(12)(13) - For the shakedown check, quoting from NB- NB-3653.1 Satisfaction ofFor shakedown check Eq. (10)(12)(13) - For the shakedown check, quoting from NB- NB-3653.1 Satisfaction ofPrimary Plus Secondary Stress Intensity Range. “(b) If for one or more pairs of load sets eq. (a)(10) is not met, thepiping product may still be satisfactory, provided that the conditions of NB-3653.6 are met or provided that therequirements of NB-3200 are satisfied.”
https://becht.com/blog/using-nb-3200-fea-as-an-option-to-stress-equations-in-nb-3600