I'm working on a space colony simulation, and I'm at the point where I need to calculate the thickness of the habitat walls, as a function of air pressure and geometry (and assuming some common material).
I've done a fair bit of googling on the topic, and found handy charts like this one: , but these are set up for high pressures (hundreds of psi) and small vessels (a meter or two at most). I'm looking at relatively low pressures -- one atmosphere or less -- but a radius of hundreds, maybe thousands of meters.
To make matters worse, I understand that a cylindrical vessel is most efficiently made using a wound filament design (otherwise, it's twice as strong as it needs to be circumferentially). But I can't find any charts or formulas showing the thickness (or mass) of material needed in this case.
I do understand, though, that the required thickness is directly proportional to both radius and pressure. So if I had an answer for (say) a 1000 m radius and 1 atm, I could simply scale that by whatever radius and pressure I have (right?). Using this calculator, I find a thickness of 44.16 inch (1.12 m). Does that seem right?