On the Lagrange Problem on the Optimal Form for Circular Columns

A new approach to the classical Lagrange problem on the form of the strongest circular column of fixed volume and height clamped at both ends is proposed. The existence of the optimal column is proved and an algorithm for finding its design is given.__________Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 10, Suzdal Conference-4, 2003.An erratum to this article can be found at .