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・ Euler number (physics)
・ Euler operator
・ Euler product
・ Euler pseudoprime
・ Euler Renato Westphal
・ Euler sequence
・ Euler Society
・ Euler spiral
・ Euler substitution
・ Euler summation
・ Euler system
・ Euler tour technique
・ Euler's conjecture
・ Euler's continued fraction formula
・ Euler's criterion
Euler's critical load
・ Euler's Day Off
・ Euler's Disk
・ Euler's equations (rigid body dynamics)
・ Euler's factorization method
・ Euler's flycatcher
・ Euler's formula
・ Euler's four-square identity
・ Euler's identity
・ Euler's laws of motion
・ Euler's pump and turbine equation
・ Euler's rotation theorem
・ Euler's sum of powers conjecture
・ Euler's theorem
・ Euler's theorem (differential geometry)


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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
:F=\frac
where
:F = maximum or critical force (vertical load on column),
:E = modulus of elasticity,
:I = area moment of inertia of the cross section of the rod,
:L = unsupported length of column,
:K = 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), K = 1.0
== Diagram ==
Buckling beam under the effect of 2 opposite compressive strengths \overrightarrow F

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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