%0 Journal Article %T On the optimal shape of a compressed column %A Atanackovi£¿ Teodor M. %A Novakovi£¿ Branislava N. %A Basara Emina %J Theoretical and Applied Mechanics %D 2010 %I Serbian Society of Mechanics, Belgrade %R 10.2298/tam1001037a %X 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. %K Lagrange problem %K Pontryagin's principle %K estimates of cross-sectional area %U http://www.doiserbia.nb.rs/img/doi/1450-5584/2010/1450-55841001037A.pdf