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Euler's critical buckling load for a column fixed at both ends is
$$\frac{2 \pi^2 EI }{L^2}$$
$$\frac{\pi^2 EI }{2L^2}$$
$$\frac{4 \pi^2 EI }{L^2}$$
$$\frac{\pi^2 EI }{4L^2}$$
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