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Found in Dubbel (Taschenbuch für den Maschinenbau) page C47 7.3.2 theaxial load that buckles a thin cylindre. This isnot Euler's buckling of a long compressed beam, but probably fromTimoshenko's theory for shell buckling applied to a thin cylinder.

Thebookgives:

σ = e/R*E/(3(1-μ^{2}))^{0.5}where σ is the stress,

and taking Poisson's coefficient μ as 0.33 I obtain

σ/E = 0,612*e/R

and

F = 3,845*e.^{2}*E

As I mistrust buckling computations, I stepped on asoda can over bathroom scalesand got instead

F = 0,68*e^{2}*E

far less...

I use this lower value now for my computations, but maybe I botched the experiment? I measured the thickness properly with a micrometer at several positions, tried to step slowly and vertically...

Do you have more experimental values, or different formulas from a theory?

And if someone steps on a can, please mind your ankle, I hurt mine.

Thank you!

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# Cylindre buckling under axial load

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