TECHNICAL PAPERS
Oct 1, 1993

Plate‐Stiffener Assemblies in Uniform Compression. Part II: Postbuckling

Publication: Journal of Engineering Mechanics
Volume 119, Issue 10

Abstract

The postbuckling behavior of plate‐stiffener assemblies in uniform axial compression is investigated in which the energy method is used to model various in and out‐of‐plane boundary conditions. The loaded edges are treated as simply supported and remain straight. The unloaded edges can be simply supported or elastically restrained against rotation. Beside these out‐of‐plane boundary conditions, the in‐plane boundary condition for the unloaded edges may be any of the following: free translation, fully restrained against translation, straight, free to bend, and partially restrained against in‐plane bending. Analytical expressions for the membrane strain energy for each of these boundary conditions for any plate aspect ratio are derived and the geometric properties of the stiffeners that dictate these boundary conditions are defined in the paper. Typical numerical results are obtained for square plates and the influence of these boundary conditions on the load‐deflection and load‐end shortening behavior is illustrated.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bedair, O. K., and Sherbourne, A. N. (1993). “Plate‐stiffener assemblies in uniform compression. Part I: Buckling analysis.” J. Engrg. Mech., ASCE, 119(10), 1937–1955.
2.
Coan, J. M. (1951). “Large deflection theory for plates with small initial curvature loaded in compression.” J. Appl. Mech. Trans. ASME, 18, 143–151.
3.
Dawson, R. G., and Walker, A. C. (1972). “Post buckling of geometrically imperfect panels.” J. Struct. Div., ASCE, 98(1), 75–94.
4.
Horne, M. R., and Narayanan, R. (1975). “An approximate method for the design of stiffened steel compression panels.” Proc. Inst. Civ. Engrs., Part II, 59, 501–514.
5.
Horne, M. R., and Narayanan, R. (1977). “Design of axially loaded stiffened plates.” J. Struct. Div., ASCE, 103(11), 2243–2257.
6.
Levy, S., and Krupen, P. (1943). “Large deflection theory for end compression of long rectangular plates rigidly clamped along two edges.” NACA TN 884.
7.
Narayanan, R., and Chow, F. Y. (1983). “Effective widths of plates loaded uniaxially.” Thin Walled Struct., 1, 165–187.
8.
Narayanan, R., and Chow, F. Y. (1985). “Effect of support conditions on plate strengths.” J. Struct. Div., ASCE, 111, 175–189.
9.
Rhodes, J., and Harvey, J. M. (1971). “Plates in uniaxial compression with various support conditions at unloaded boundaries.” Int. J. Mech. Sci., 13, 787–802.
10.
Rhodes, J., and Harvey, J. M. (1977). “Examination of plate post‐buckling behaviour.” J. Engrg. Mech., ASCE, 103(3), 461–479.
11.
Rushton, K. R. (1970). “Post‐buckling of rectangular plates with various boundary conditions.” Aero. Q., 21, 163–181.
12.
Walker, A. C. (1969). “The post‐buckling behaviour of simply supported square plates.” Aero. Q., 20, 203–222.
13.
Williams, D. G., and Walker, A. C. (1975). “Explicit solutions for the design of initially deformed plates subject to compression.” Proc. Inst. Civ. Engrs., 59, Part II, 763–787.
14.
Williams, D. G., and Walker, A. C. (1977). “Explicit solutions for the plate buckling analysis.” J. Engrg. Mech., ASCE, 103(4), 549–568.
15.
Yamaki, N. (1959). “Post‐buckling behaviour of rectangular plates with small initial curvatures loaded in edge compression.” J. Appl. Mech. Trans. ASME, 27, 407–414.
16.
Yamaki, N. (1960). “Post‐buckling behaviour of rectangular plates with small initial curvatures loaded in edge compression, Continued.” J. Appl. Mech. Trans. ASME, 27, 335–342.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 119Issue 10October 1993
Pages: 1956 - 1972

History

Received: Sep 28, 1992
Published online: Oct 1, 1993
Published in print: Oct 1993

Permissions

Request permissions for this article.

Authors

Affiliations

Archibald N. Sherbourne, Member, ASCE
Prof., Civ. Engrg. Dept., Univ. of Waterloo, Waterloo, Ontario, N2L 3G1
Osama K. Bedair
NSERC Postgrad. Scholar, Civ. Engrg. Dept., Univ. of Waterloo, Waterloo, Ontario, N2L 3G1

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share