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Euler Equation

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Solution Summary

The solution involves a derivation of the Poisson equation and also touches on Laplace equations and the Liuvill theorem.

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Euler's formula application

A pinned connected axially loaded steel bar is used as a compression member. The bar has a rectangular cross section 1 in. by 2 in. the proportional limit is 30,000psi. Calculate the minimum length for Euler's formula to be applicable, In addition calculate the critical stress and the critical load if the length of the bar is 5 ft.

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