I'm trying to derive eq. (f) in Timoshenko's Theory of Elastic Stability, 2nd Ed. Article 11.1, p. 458. Its for the increase in strain energy during symmetrical buckling in a cylindrical shell. I've got the 1st and 3rd terms, but for the 2nd term, (piA^2Ehl/2a), I have a Poison's ratio squared...