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Euler's critical load : ウィキペディア英語版 | Euler's critical load
In the article buckling, from an elastic point of view, the critical load that a column can resist to is given by : where : = maximum or critical force (vertical load on column), : = modulus of elasticity, : = area moment of inertia of the cross section of the rod, : = unsupported length of column, : = column effective length factor This result was given by the Swiss mathematician Leonhard Euler in 1757. The goal of this page is to demonstrate this Euler’s formula in the peculiar case when both ends pinned (hinged, free to rotate), = 1.0 == Diagram == Buckling beam under the effect of 2 opposite compressive strengths
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