# Hypothetical Hollow Steel Sphere: collapse from outside pressure

 Engineering Sci Advisor HW Helper Thanks P: 7,172 This http://www.engr.uconn.edu/~cassenti/...g%20Sphere.pdf gives a formula $$P = \frac{2Et^2}{r^2\sqrt{3(1-\mu^2)}}$$ But since it doesn't give any information about to how it was derived and what assumptions were made, I have no reason to believe it's correct. This is one of those problems which is very easy to describe, but very hard to solve. The only thing one can say confidently is that it will collapse by buckling, not by compressive failure of the material.