Note on extension of the Young’s formula to inhomogeneous columns

Isaac Elishakoff

doi:10.15625/0866-7136/15494

Authors

Isaac Elishakoff Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991

DOI:

https://doi.org/10.15625/0866-7136/15494

Keywords:

initial imperfection, Young's formula, inhomogeneous columns

Abstract

In this Note the generalization of the celebrated formula by Young, applicable to homogeneous columns, is provided for inhomogeneous columns.

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References

T. Young. A course of lectures on natural philosophy and the mechanical arts. 2 Volumes, London, (1807).

Z. P. Bazant and L. Cedolin. Stability of structures: elastic, inelastic, fracture, and damage theories, p. 22. Oxford University Press, New York, (1991).

I. Elishakoff. Eigenvalues of inhomogeneous structures: unusual closed-form solutions. CRC Press, Boca Raton, (2004).

Z. P. Bazant. Stability of elastic, anelastic, and disintegrating structures: a conspectus of main results. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift f ¨ur Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 80, (11-12), (2000), pp. 709–732. https://doi.org/10.1002/1521-4001(200011)80:11/12<709::aid-zamm709>3.0.co;2-9.