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The Boundary Element Method Applied to the Analysis of Euler–Bernoulli and Timoshenko Continuous Beams
https://orcid.org/http://orcid.org/0000-0001-6891-2880
This article is concerned with the analysis of continuous beams under static loading by the Boundary Element Method. The problem can be governed by the Euler–Bernoulli theory, also called classical beam theory, or by the Timoshenko theory; consequently, two different formulations arise. In order to obtain the analytical solutions for the Timoshenko continuous beams, an equivalent version of the three moments equation is presented. Two examples are included: the first consists of a two-span beam; the second, of a three-span beam. The results for the displacement, rotation, bending moment and shear force are always compared with the corresponding analytical solutions.
The Boundary Element Method Applied to the Analysis of Euler–Bernoulli and Timoshenko Continuous Beams
https://orcid.org/http://orcid.org/0000-0001-6891-2880
This article is concerned with the analysis of continuous beams under static loading by the Boundary Element Method. The problem can be governed by the Euler–Bernoulli theory, also called classical beam theory, or by the Timoshenko theory; consequently, two different formulations arise. In order to obtain the analytical solutions for the Timoshenko continuous beams, an equivalent version of the three moments equation is presented. Two examples are included: the first consists of a two-span beam; the second, of a three-span beam. The results for the displacement, rotation, bending moment and shear force are always compared with the corresponding analytical solutions.
The Boundary Element Method Applied to the Analysis of Euler–Bernoulli and Timoshenko Continuous Beams
https://orcid.org/http://orcid.org/0000-0001-6891-2880
This article is concerned with the analysis of continuous beams under static loading by the Boundary Element Method. The problem can be governed by the Euler–Bernoulli theory, also called classical beam theory, or by the Timoshenko theory; consequently, two different formulations arise. In order to obtain the analytical solutions for the Timoshenko continuous beams, an equivalent version of the three moments equation is presented. Two examples are included: the first consists of a two-span beam; the second, of a three-span beam. The results for the displacement, rotation, bending moment and shear force are always compared with the corresponding analytical solutions.
The Boundary Element Method Applied to the Analysis of Euler–Bernoulli and Timoshenko Continuous Beams
Iran J Sci Technol Trans Civ Eng
Carrer, J. A. M. (author) / Scuciato, R. F. (author) / Garcia, L. F. T. (author)
2020-09-01
14 pages
Article (Journal)
Electronic Resource
English
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