Originally Posted by
Andrew Whitson
In case anyone is interested, the stresses in a cylindrical pressure vessel are:
hoop stress = Pressure * radius / wall thickness
longitudinal stress = Pressure * radius / (2 * wall thickness)
In words, the stress resisting the end caps blowing off is half the stress resisting splittting the cylinder down the long axis. The radial stress is negligible compared to the hoop and longitudinal stresses. For any given pressure, a smaller vessel can utilize a thinner wall section. For any given wall thickness, a smaller vessel is stressed less, and will fail at a higher pressure.
The pool scenario is a bit different, being open on one end, and having a linear pressure gradient down the wall.
Cheers,
Andrew