Skip to main content
SpringerLink
Log in

Stability of rectangular plates with cambered bitrapezoidal cross sections

A theory relating moment to curvature is presented by the authors. Also, they show, theoretically and experimentally, that these plates exhibit instability for certain combinations of edge thickness and camber

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

This paper presents a theoretical moment-curvature relationship for rectangular plates having bitrapezoidal cross sections. It is shown that, for certain values of the cross-section camber and edge thickness, the plates exhibit a bending instability for some values of longitudinal curvature. Experimental results show good agreement between theory and experiment.

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

b :

one-half plate width

c :

plate-edge thickness

k :

dimensionless parameter defining transverse camber

M y :

moment per unit distance acting on a plane whose normal is in they-direction

N y :

membrane force per unit distance acting on a plane whose normal is in they-direction

R :

longitudinal radius of curvature as measured to the neutral surface of the plate cross section

t :

total thickness of plate

t 0 :

one-half thickness of tapered portion of plate

ω:

deflection inz-direction of midline of cross section from neutral surface

W 0 :

initial deflection of midline from neutral surface

W :

deflection inz-direction of midline of cross section from neutral surface due to applied moments

x, y, z :

rectangular coordinates

References

  1. Kelvin, Lord, and Tait, P. G., Principle of Mechanics and Dynamics Dover (1962).

  2. Timoshenko, S. P., Collected Papers, McGraw-Hill, 366–370 (1953).

  3. Flügge, W., “Large Deflections of Thin Wings,”, Technical Report No. 3, Air Forces Contract W33-038 AC-16697, Stanford University (1949).

  4. Fung, Y. C., and Wittrick, W. H., “The Anticlastic Curvature a Strip with a Lateral Thickness Variation,” Jnl. Appl. Mech.,21 (1954).

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada

    D. G. Bellow (Associate Professor) & A. Semeniuk (Sessional Lecturer)

Authors
  1. D. G. Bellow
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Semeniuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bellow, D.G., Semeniuk, A. Stability of rectangular plates with cambered bitrapezoidal cross sections. Experimental Mechanics 7, 309–312 (1967). https://doi.org/10.1007/BF02327137

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02327137

Keywords

Search

Navigation