Skip to main content
SpringerLink
Log in

Stress-Strain State of Zero-Deflection Plates

  • Published:
Materials Science Aims and scope

The deflections of a thin circular plate are used to construct a plate with zero deflection. The numerical analysis of the stress-strain state of a circular zero-deflection plate is carried out by using the “Integral” software package. It is shown that the deflections of this plate, as compared with an ordinary plane, decrease by 30%, the normal compressive stresses increase by 10%, the positive tensile stresses decrease by 40%, and the area of positive stresses σρ becomes much narrower. It is demonstrated that the thickness of zero-deflection plate can be decreased by up to 30% as compared with a thin plate and the reinforcement can be reduced by up to 20%.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. K. A. Khamid, “Investigation of the possibility of decreasing the thickness of reinforced-concrete plates by constructive means,” Beton Zhelezobet. Ukr., Issue 48, 18–24 (2009).

  2. S. M. Anpilov, Buildings with Efficient Monolithic Beamless Framework. Experimental and Theoretical Studies, Methods of Numerical Analysis and Erection [in Russian], Doctoral Degree Thesis (Engineering), RGB, Samara (2006).

  3. V. K. Chybiryakov and A. M. Smolyar, Theory of Thick Plates and Shells [in Ukrainian], Cherkasy State Tech. Univ., Cherkasy (2002).

    Google Scholar 

  4. V. K. Chybiryakov, A. M. Smolyar, and I. V. Miroshkina, Generalization of the Method of Finite Integral Transformations to the Solution of the Problem of Elasticity Theory for Discretely Inhomogeneous Spherical Shells [in Ukrainian], Cherkasy Engin.-Technol. Inst., Cherkasy (1996).

    Google Scholar 

  5. I. N. Vekua, Theory of Thin Shallow Shells of Variable Thickness [in Russian], Metsniereba, Tbilisi (1965).

    Google Scholar 

  6. S. K. Godunov, “On the numerical solution of the boundary-value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk, 16, Issue 3, 171–174 (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Cherkassy State Technological University, Cherkassy, Ukraine

    A. M. Smolyar, I. V. Miroshkina & S. V. Yurchenko

Authors
  1. A. M. Smolyar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Miroshkina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. V. Yurchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Yurchenko.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 51, No. 2, pp. 116–120, March–April, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Smolyar, A.M., Miroshkina, I.V. & Yurchenko, S.V. Stress-Strain State of Zero-Deflection Plates. Mater Sci 51, 276–280 (2015). https://doi.org/10.1007/s11003-015-9840-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11003-015-9840-x

Keywords

Search

Navigation