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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 1997, 2(3), 127-130;

The Development of Euler Hyperbola in Heavy Bars

Ege University, Solar Energy Institute & School of Engineering, Department of Mechanical, Engineering, 35100 Bornova, İzmir, Turkey
Published: 1 December 1997
PDF [1643 KB, uploaded 1 April 2016]


Euler [1] discovered the critical buckling force of the bars under an axial load. Euler, however ignored bar's own weight in his calculations. He drew the line diagram of critical strength vs bars slenderness ratio, the so called Euler-Hyperbole. The goal of this paper is to extend Euler-Hyperbole to heavy bars. Furthermore, factors which have effects on critical buckling forces will be analysed. This study may lead to economical gain, since materials are fully utiliesed.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Özdamar, A. The Development of Euler Hyperbola in Heavy Bars. Math. Comput. Appl. 1997, 2, 127-130.

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