RCHandy,
You are correct, ANSI pipe thread is designed to hold at least the axial force resulting from the pipe's rated pressure. But here, thread pullout is exactly the issue. It is the question that jaydig originally asked. The 100 lb load on a 3/4" pipe nipple itself is almost trivial, so jaydig must be worried about the female threads pulling out and he doesn't give us the material. The real question is how to calculate the strength of the threads in axial loading because we do not know what material the female threads are put in. jaydig wants to know how to calculate it with his material. My answer was an attempt to pose a simple thought experiment to show him he could arrive at a quick answer by modifying the actual failure strength of a same size pipe thread in the reference paper by the ratio of ultimate strength of his female material to the material used in the reference. It was an attempt to show him his problem is trivial in a thought experiment. If you want an actual calculation, it is the shear strength times the shear area which is the conical surface defined by the thread roots and the thread engagement length. Shear failure in the female threads would be the method of failure when you have a steel pipe threaded into a significantly softer or weaker material and loaded axially. Enough said!
jaydig, Did we answer your question?
Timelord