E = Young's modulus

h = uniform thickness

R = radius

nu = Poisson ratio

From:

Zoelly, R., 1915. Ueber ein Knickungaproblem and der Kugelschale. Thesis, Zurich, Switzerland.

NOTE: Actual spherical shells that have small imperfections buckle at a much, much lower pressure than the "classical" buckling pressure given by this formula. For example, see the second and third slide after this slide.

Page 8 / 174