Euler's formula

noun

Definition of Euler's formula

: a general engineering formula relating to the strength of a long strut and obtained by mathematical analysis assuming the strut to be initially very slightly bent and neglecting the (dy/dx)2 term in the curvature equation: P = cπ2EI/l2, where P = axial load, E = Young's modulus, I = moment of inertia of transverse section of strut, l = length of strut, and c = a constant depending upon the manner of fixing the ends

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Cite this Entry

“Euler's formula.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Euler%27s%20formula. Accessed 21 Oct. 2021.

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