Abstract
The present article considers the bending of a beam fabricated from a material with a low shear rigidity. A bending-theory variant that does not involve the hypothesis of plane cross sections is presented, assuming the material to be incompressible in the direction of the transverse coordinate. Results previously obtained in this area and an appropriate bibliography were given in an earlier article [3]. A solution is given that permits precise satisfaction of the condition for rigid fastening of the end of the beam. An attempt is made to take into account the actual character of the mounting.
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Literature cited
Yu. M. Tarnopol'skii, A. V. Roze, and R. P. Shlitsa, Mekh. Polim., No. 4, 719 (1969).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Moscow (1963).
Yu. M. Tarnopol'skii and A. V. Roze, Characteristics of Calculations for Reinforced-Plastic Components [in Russian], Riga (1969).
Additional information
S. Ordzhonikidze Moscow Aviation Institute. Translated from Mekhanika Polimerov, No. 4, pp. 674–681, July–August, 1972.
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Vasil'ev, V.V., Lur'e, S.A. A variant of the refined theory of bending for a laminar plastic beam. Polymer Mechanics 8, 582–588 (1972). https://doi.org/10.1007/BF00855586
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DOI: https://doi.org/10.1007/BF00855586