# Euler's buckling formula applicable for impact calculations?

$$F = \frac{\pi^2 EI}{(KL)^2}$$

Is Euler's buckling formula applicable for impact calculations, considering speeds relevant for a car or aircraft crash?

If there is a level where the formula becomes inapplicable or inappropriate in impact calculations, what determines this, and what behavior (and hence other formula) will then be relevant?

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So in an impact scenario the beam will move at lower force levels lower than Euler predicts due the variability of the applied loads. When impact begins there is compressive wave going through the beam (like an earthquake) possibly reflecting of the supports and setting up a standing wave back and forth. For steel these wave have speed of about 5000 m/s, or $c=\sqrt{E/\rho}$. This motion imparts inertial loading on the beam which may initial buckling even though the external loads is below the Euler levels.