Abstract
In this paper we derive the approximate theory on the straight cantilever beam of a same circular cross section including transverse shear deformation, using the general variational principle with two class variates, and we present the expression with two class variates containing two general displacement, of general complementary energy, corresponding with the theory.
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References
Hu Hai-chang, The Variational Principles of Elastic Mechanics and Its Application, Science Press, (1981). (in Chinese)
Cowper, G.R., The shear coefficients in Timoshenko's beam theory, Journal of Applied Mechanics, 33(1966), 337.
Timoshenko, S., Strength of Materials, Part I. Elementary Theory and Problems, 3rd ed. D. van Nostrand Company, Inc., New York, N. Y., (1965), 121.
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Communicated by Chien Wei-zang.
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Jia-ren, L., Shen-xue, Z. The general variational principle of the cantilever beam of circular cross section including transverse shear deformation. Appl Math Mech 5, 1721–1726 (1984). https://doi.org/10.1007/BF01897948
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DOI: https://doi.org/10.1007/BF01897948