Journals / Mathematical and Computational Applications / 1997 / Cilt: 2 - Sayı: 3

The development of Euler hyperbole in heavy bars

Pages
127–130
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This study may lead to economical gain, since materials are fully utiliesed.

📌 3 Key Takeaways

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Objective & Hypothesis:Euler [1] discovered the critical buckling force of the bars under an axial load.
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Key Findings & Data:Euler, however ignored bar's own weight in his calculations.
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Conclusion & Impact:This study may lead to economical gain, since materials are fully utiliesed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

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Cite This Article

ÖZDAMAR, A. (1997). The development of Euler hyperbole in heavy bars. Mathematical and Computational Applications, Cilt: 2 - Sayı: 3, 127–130. https://ajindex.com/articles/280216

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References (1)

  1. Euler L., "De Curvis Elasticis", Lausanne-Genf, 1744. Bernitsas M. M., Kokkinis T., "Buckling of Columns with Nonmovable Boundaries". Journal of Stmctural Mechanics 11, s.351-370, 1983. Özdamar A., "Das Knicken schwerer Gestaenge", ISBN 3-930324-71-7, Berlin, 1996