I just had to get in this discussion.
I’ve been designing threads since the 70’s and been trying to figure a reliable torque formula for threads for the same amount of years. My conclusion so far is, not even PhD’s can solve for torque, to be reliable for the every day assembler. The reason is that there too many unknowns to equate. Every element feature such as thread height, taper, finish, lead fluctuations, yield of material, thread compound, etc. effects torque drastically. Not only that, the friction factor changes per turn and partial turn during makeup. You can get in a ball park with torque, but sooner or later it will burn you because the machining tolerances are too wide to predict what situation the two members are seeing as far as stress and strain. API has equations for torque and I believe you will find that the NPT and line pipe are the basic same threads. However most people only use these torque values as a starting point, and with a grain of salt. Also, with experience of assembling and testing API connections and premium threads the only way to predict torque, is to have full control of the manufacturing tolerances, and because of this, one can predict the situation and mechanical “chain of events” that occurs during assembly. With that said, I believe the real issue here is leak resistance. It is far easier to directly relate and calculate leak resistance to turns (translated to interference), rather than torque. Leak resistance is directly related to the Hoop stresses in the male and female connectors. The theory is when you assemble the male and female connections together, the female results in hoop tension values and the male is in hoop compression values due to interference. This is at the assembled state without any other stresses applied. The connection will be leak tight until the male connection reaches hoop zero due to internal pressure. Hoop zero is when the male member expands back to its machined state or you can say when it lost all of its compressive diametrical interference. Any additional internal pressure will cause a leak if the pipe body did not fail first. When assembling the connection, one should know the maximum amount of turns to make sure the connection does not yield,both male in Hoop Compression and the Female in Hoop Tension. Remember that any other stresses applied to the connection besides internal pressure, such as bending, axial tension, and/or axial compression is additive to the stresses and will approach yield and possible premature failure.
A little point of advice:
A metal female connection assembled with a plastic male will have more sealing integrity than a plastic female connection assembled with metal male connection with the same conditions. The female expansion governs the integrity.
klchurch