Skip to main content
Log in

Analytic solution of the problem of bending of a composite beam on the basis of an improved model of deformation

  • Scientific and Technical Section
  • Published:
Strength of Materials Aims and scope

Abstract

We solve the problem of bending of a composite beam on the basis of an improved model of the stress-strain state taking into account the influence of transverse shear strains. The solution is obtained by using an analytic method. It remains true for all possible types of fixing of the ends of the beam. We present and analyze the results of the evaluation of deflections of the beam under sinusoidal loading for various conditions of its mounting. It is shown that the influence of lateral shear increases with the general stiffness of the beam.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters,Strength of Polymers and Composite Materials [in Russian], Zinatne, Riga (1972).

    Google Scholar 

  2. V. V. Bolotin and Yu. N. Novichkov,Mechanics of Multilayer Structures [in Russian], Mashinostroenie, Moscow (1980).

    Google Scholar 

  3. R. M. Christensen,Mechanics of Composite Materials, Wiley, New York, et al. (1979).

    Google Scholar 

  4. L. P. Khoroshun (editor),Mechanics of Materials, Vol. 1:Mechanics of Composite Materials and Structural Elements [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  5. B. E. Pobedrya,Mechanics of Composites [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  6. Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova,Statics of Anisotropic Thick-Walled Shells [in Russian], Naukova, Dumka, Kiev (1985).

    Google Scholar 

  7. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul’ga,Theory and Numerical Analysis of Laminated Orthotropic Plates and Shells [in Russian], Vyshcha Shkola, Kiev (1986).

    Google Scholar 

  8. V. G. Piskunov and V. E. Verizhenko,Linear and Nonlinear Problems of the Numerical Analysis of Laminated Structures [in Russian], Budivel’nyk, Kiev (1986).

    Google Scholar 

  9. V. A. Bazhenov, E. A. Gotsulyak, A. I. Ogloblya et al.,Numerical Analysis of Composite Structures with Regard for Delaminations [in Ukrainian], Budivel’nyk, Kiev (1992).

    Google Scholar 

  10. V. G. Piskunov (editor),Strength of Materials with Fundamentals of the Theory of Elasticity and Plasticity, Part 1, Vol. 3:Strength of Two- and Three-Dimensional Bodies [in Ukrainian], Vyshcha Shkola, Kiev (1995).

    Google Scholar 

  11. N. A. Shul’ga, G. A. Krivov, Yu. M. Fedorenko et al.,Modeling and Numerical Analysis of Structural Members Made of Inhomogeneous Materials [in Ukrainian], Tekhnika, Kiev (1996).

    Google Scholar 

  12. V. I. Fushchich, V. M. Shtelen’, and N. I. Serov,Symmetric Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  13. V. V. Stepanov,A Course of Differential Equations [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  14. E. Kamke,Differentialgleichungen. Lösungsmethoden und Lösungen. Teil I.Gewöhnliche Differentialgleichungen, Leipzig (1959).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Problemy Prochnosti, No. 1, pp. 116–131, January–February, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorik, A.V., Piskunov, V.G., Serov, M.I. et al. Analytic solution of the problem of bending of a composite beam on the basis of an improved model of deformation. Strength Mater 31, 85–98 (1999). https://doi.org/10.1007/BF02509745

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02509745

Keywords

Navigation