Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/12067
Title: | The tallest column problem: New first integrals and estimates | Authors: | Atanackovic T. | Issue Date: | 1-Sep-2019 | Journal: | Comptes Rendus - Mecanique | Abstract: | © 2019 We analyze the problem of finding the shape of the tallest column. For the system of equations that determine the optimal shape we construct a variational principle and two new first integrals. From the first integrals we are able to determine, analytically, the size of the cross-sectional area of the optimal column at the bottom, as well as the corresponding bending moment and curvature of the elastic line. Our result for critical load is compared with the results obtained by other methods. | URI: | https://open.uns.ac.rs/handle/123456789/12067 | ISSN: | 16310721 | DOI: | 10.1016/j.crme.2019.09.001 |
Appears in Collections: | FTN Publikacije/Publications |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.