Hi state 03
Whilst working on hp vessels for Charles Maddans at Broadheath,Manchester UK the vessel in question was 18" od
36" in length it had a 6" dia bore,and an internal length of 30", the vessel had to withstand 10,000 psi.
The vessel had a screwed cap which was 18" diameter with a 8.5" thread diameter.
The thread diameter on the vesel was internal 8.5" diameter by 7.5" in length.
The thread was a whitworth form 55 degree included angle.
When I asked the Question why had they used a whitworth form thread?
I was told that in the past they had used a butress thread, which had failed.
There were no casualties, but the insident promted an inquiry, resulting in tests, at the NPL.
There findings were, in this vesel, 8.5"diameter by .5" pitch, single start thread was the most suitable.
This thread proved to withstand the pressure, and was more suitable than the 60 degree angle as used on metric and american threads.
I believe that, square,and acme thraeds were also tried, and were found not to be not satisfactory in this application.
It was in the early 1970's, but I have not come across any thread developments since then.
Allthough I have not answered your initial question about calculations, I hope this information is of some use to you.
Kind regards
Gerry Clarke, visitor.