Hi Richard,
I have a few moments to expand on your questions.Barlow's Formula relates the internal pressure that a pipe can withstand to its dimensions and the strength of its materials. The formula is
P= (2*T*S/D), where: P = pressure. S = allowable stress.
Now the allowable stress is an odd one.
0.1% Tensile stress is a good number to use for copper - I think, maybe others know better - but in a job in the 1970s all the design work with aluminium (anneal 99%pure electrical grade and various structural alloys and tempers) we used 0.2% proof stress.
https://blog.thepipingmart.com/metals/what-is-annealed-copper-properties-uses-and-composition/
Temperature affects Copper drastically, for boilers especially.
https://blog.thepipingmart.com/meta...res increase, the tensile,—a decrease of 85%.The strength of copper is determined by its tensile strength, which is measured in pounds per square inch (psi). As temperatures increase, the tensile strength of copper decreases significantly. At room temperature (70°F), copper has an average tensile strength of 24,000 psi. When heated up to 500°F, however, that number drops to just 3,500 psi—a decrease of 85%. This means that heating up copper causes it to become extremely weak and brittle.
So ASME limit silver soldered copper boilers to 100psi Normal Working Pressure, and their Regulations for boilers derive a max stress of 3142psi for copper used in a boiler at 100psi NWP. (Kozo Hiraoka explanation in an article in Live Steam and outdoor railroading). Whereas the permissible strength is 6700psi at below 100degrees F.
Now I have a concern that the Tensile strength of Copper is around 230MPa (lowest published value I have seen from the Copper industry), but minimum quoted in COMPRESSION is ONLY 45 MPa... So when the tube is subjected to internal pressure, Barlow's formula gives one answer, but if used in COMPRESSION with External pressure (e.g. flue tube and fire tubes) then the lower strength of 45MPa gives a much lower permissible NWP for the same tube. So with Copper particularly, you must be aware of how it materially fails in Tension or Compression and due to temperature at the pressure you want to apply.
Toymaker is the expert, not I, so I am sure if I have made errors he - or someone else - can teach us all the right answer. I have just fudged my way to some understanding so I can design model copper boilers...
Cheers,
K2