Geodesic
Arbitrary Bending of a Cantilever Beam by a Conservative Force
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 144-157

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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. 
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     author = {Yu. P. Artyukhin},
     title = {Arbitrary {Bending} of a {Cantilever} {Beam} by a {Conservative} {Force}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {144--157},
     publisher = {mathdoc},
     volume = {155},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a12/}
}
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Yu. P. Artyukhin. Arbitrary Bending of a Cantilever Beam by a Conservative Force. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 144-157. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a12/