In ASME VIII the MAWP at the top of the vessel is stamped on the nameplate. The design pressure, P for a given part is the MAWP of the vessel plus any static head for that part. The MAWP shown on the nameplate may be one of two things. The first option is the easiest... just use the MAWP for the vessel as stated by the owner. The second option is to calculate the MAWP for a vessel part (as-designed minus corrosion allowance, if any) and deduct the static head. The MAWP for the vessel is then taken as the lowest MAWP for each part (adjusted for static head for each part). It's a bit confusing at first but after you get your head wrapped around it it atatrts to make sense.
Joe Tank