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On the optimal shape of a compressed columnDOI: 10.2298/tam1001037a Keywords: Lagrange problem , Pontryagin's principle , estimates of cross-sectional area Abstract: A new numerical solution to the Lagrange problem is presented. The solution is compared with a priori estimates obtained recently. Also we derive a new relation that shows that the cross-sectional area at the middle of the optimally shaped column is larger than the cross-sectional area at the ends. Our numerical experiments confirm that conclusion.
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