Well Montezuma, I looked it up in the BDM, and it's too long to post here. Especially without the benefit of pictures!
The trick is determining how much of the hoop stress is carried by the skin and how much is carried by the frame. Tear straps and shear ties complicate the problem even more.
If you wanted a quick and conservative way I would assume all the hoop stress is being picked up by the frame and multiply your delta p by the stringer/frame area (mid frame to mid frame by mid stringer bay to mid stringer bay).