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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 2, Pages 144–157 (Mi uzku1204)  

Arbitrary Bending of a Cantilever Beam by a Conservative Force

Yu. P. Artyukhin

Kazan (Volga Region) Federal University

Abstract: In this article, a further development of our approximate method for analysis of the arbitrary elastic bending of a beam by forces constant in space is presented. The bending of the cantilever by the concentrated gravity load on its end is considered. A numerically exact solution for ten values of the conservative load is obtained and compared with the similar approximate solution. The bending of the cantilever makes 0.8 of its length. A sufficient accuracy of the results for engineering calculations is observed.

Keywords: elasticity, conservative load, initial parameter, large deflections, approximate solution.

Full text: PDF file (312 kB)
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UDC: 531.39
Received: 12.03.2013

Citation: Yu. P. Artyukhin, “Arbitrary Bending of a Cantilever Beam by a Conservative Force”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 2, Kazan University, Kazan, 2013, 144–157

Citation in format AMSBIB
\Bibitem{Art13}
\by Yu.~P.~Artyukhin
\paper Arbitrary Bending of a Cantilever Beam by a Conservative Force
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 2
\pages 144--157
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1204}


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