Skip to main content
SpringerLink
Log in

The deflection coefficient of a rectangular plate reinforced in the middle

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

In this paper, we investigated the deflection coefficients of rectangular plates that are reinforced in the middle. For reinforced plates with three different aspect ratios and two types of boundary conditions (simply supported and clamped), we derived the deflection coefficients with respect to the elastic modulus ratio and the relative length of the inner plate using the least-squares method. We performed a finite element analysis of the models, and calculated the deflection coefficients of reinforced plates in terms of the deflection coefficients of simple (nonreinforced) plates. The results can be extended to various types of reinforced rectangular plates.

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

Similar content being viewed by others

Abbreviations

RA :

aspect ratio of a rectangular plate

RE :

elastic modulus ratio between the inner and outer plate

RL :

relative length of the inner plate

ws :

deflection of a simply supported plate

wc :

defletion of a clamped plate

μs :

deflection coefficient of a simply supported plate

μc :

deflection coefficient of a clamped plate

References

  1. Timoshenko, S. P. and Woinowsky-Krieger, S., “Theory of Plates and Shells,” McGraw-Hill Co., pp. 180–228, 1959.

  2. Ko, W. D. and Kim, M. S., “Elasto-plastic dynamic behaviors, Line-loading, Low-velocity impact, Hertzian contact law, Finite element analysis,” IJPEM, Vol. 6, No. 1, pp. 36–41, 2005.

    Google Scholar 

  3. Juluri, B. K., Lin, W. and Lim, L. E, “Long Range and High Axial Load Capacity Nanopositioner Using Single Piezoelectric Actuator and Translating Supports,” IJPEM, Vol. 8, No. 4, pp. 3–9, 2007.

    Google Scholar 

  4. Kim, K. J., Sung, C. W., Baik, Y. N., Lee, Y. H., Bae, D. S., Kim, K. H. and Won, S. T., “Hydroforming Simulation of Highstrength Steel Cross-members in an Automotive Rear Subframe,” IJPEM, Vol. 9, No. 3, pp. 55–58, 2008.

    Google Scholar 

  5. Han, G. J., Ahn, S. C., Shim, J. J., Lee, H. C. and Jang, H. S., “The Effect of the Area Ratio and Change of Location on the Buckling Stress of Two Rectangular Plates Spot-welded,” J. of KSPE, Vol. 18, No. 12, pp. 54–59, 2001.

    Google Scholar 

  6. Han, G. J., Ahn, S. C., Shim, J. J. and Han, D. S., “The Effect of the Area Ratio and the Distance Ratio on Bending Stiffness of Two Rectangular Spot-Welded Plates,” J. of KSME, Vol. 27, No. 3, pp. 387–392, 2003.

    Google Scholar 

  7. Timoshenko, S. P. and Goodier, J. N., “Theory of Elasticity-3rd Ed.,” McGraw-Hill Co., pp. 15–32, 1982.

  8. Ugural, A. C., “Stresses in Plates and Shells,” McGraw-Hill Co., pp. 59–93, 1981.

  9. Timoshenko, S. P. and Gere, J. M., “Theory of Elastic Stability-2nd Ed.,” McGraw-Hill Co., pp. 319–347, 1963.

  10. Hoffman, J., “Numerical Methods for Engineers,” McGraw-Hill Co., 1992.

  11. Zienkiewicz, O. C. and Taylor, R. L., “The Finite Element Method-4th Ed.,” McGraw-Hill Co., pp. 45–71, 1989.

  12. Her, S. C. and Liu, C. Y., “The deflection of a simply supported plate induced by piezoelectric actuators,” JMST, Vol. 21, No. 10, pp. 1745–1751, 2007.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Dong-A University, 840, Hadan2-dong, Saha-gu, Busan, South Korea, 604-714

    Dong-Seop Han & Geun-Jo Han

Authors
  1. Dong-Seop Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Geun-Jo Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Geun-Jo Han.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Han, DS., Han, GJ. The deflection coefficient of a rectangular plate reinforced in the middle. Int. J. Precis. Eng. Manuf. 10, 73–78 (2009). https://doi.org/10.1007/s12541-009-0030-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-009-0030-3

Keywords

Search

Navigation