Hi again Corus. Well yes, API RP2A does include thermal stresses 'in principle' in that if they were significant on a particular structure you'd have to take them into account in accordance with the code. But generally they're not that important. The obvious exception is a flare tower or boom which might well have significant temperature stresses, and would very likely include conical transitions.
The other area 'peak stresses' are taken into account is in design of welds for fatigue. I can't remember a good reference offhand but if I do remember it I'll let you know. (I have an idea it's in the old Dept of Energy guidance notes on fatigue. I think there is an OTC paper by Peter Marshall on the subject as well.)
Just in passing,the UK pressure vessel code (BS 59??? I can't remember the number), for example, is very frequently used by structural engineers for guidance on structural components not adequately covered elsewhere in structural codes (eg the formulae/charts relating attachments to vessels, local stresses etc). It's not at all unusual for this code to be referenced in structural design specifications, even though it is for pressure vessels. I occasionally come across the sort of individual who raises silly objections, so you have my sympathies on you last point!.
Cheers.