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Elastic and Inelastic Columns

  • Chapter
Optimal Structural Design under Stability Constraints

Part of the book series: Mechanics of Elastic Stability ((MEST,volume 13))

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Abstract

The problem of the optimal shape of an elastic column under a concentrated axial force was formulated by Lagrange [0.1] as early as in the XVIII-th Century. He attempted to determine the shape maximizing the critical force for a column of given length and volume.

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Gajewski, A., Zyczkowski, M. (1988). Elastic and Inelastic Columns. In: Optimal Structural Design under Stability Constraints. Mechanics of Elastic Stability, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2754-4_4

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