Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions

Riccardo De Pascalis, Michel Destrade, Alain Goriely

Euler's celebrated buckling formula gives the critical load $N$ for the buckling of a slender cylindrical column with radius $B$ and length $L$ as \[ N / (π^3 B^2) = (E/4)(B/L)^2,…