TECHNICAL PAPERS
Jun 1, 1990

Elastic Local Buckling of Trough Girders

Publication: Journal of Structural Engineering
Volume 116, Issue 6

Abstract

An elastic finite strip method of analysis is used to study the linear local buckling or bifurcation and the nonlinear post‐local buckling behavior of isolated trough girders in bending. The method assumes a constant stress in the longitudinal direction and so is applicable to the uniform bending case. This results in a solution that is efficient computationally. The nonlinear stiffness equations are presented, and the accuracy of these is demonstrated by a comparison to tests and independent theoretical solutions. The comparison between theory and experiment is good. The variation of the local buckling coefficient with the cross‐sectional parameters is demonstrated, and a design equation is proposed. It is shown that local buckling can be delayed by the provision of a longitudinal web stiffener, and a design equation is proposed. The postbuckling of a typical trough girder is then considered, with the moment‐curvature relationship, stress distribution, and deformations all being addressed in the study.

Get full access to this article

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

References

1.
Becker, H. (1957). “Handbook of structural stability, Part II—Buckling of composite elements.” T.N. 3782, NACA.
2.
Benthem, J. P. (1959). “The reduction in stiffness of combinations of rectangular plates in compression after exceeding the buckling load.” 539.
3.
Bleich, F. (1952). Buckling strength of metal structures. McGraw‐Hill, New York, N.Y.
4.
Bradford, M. A. (1983). “Buckling of beams with flexible cross‐sections,” thesis presented to the University of Sydney, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Bradford, M. A. (1985). “Local and post‐local buckling of fabricated box members.” Civ. Engrg. Trans., Inst. of Engrs., Australia, 27(4), 391–396.
6.
Bradford, M. A., and Hancock, G. J. (1984). “Elastic interaction of local and lateral buckling in beams.” Thin‐Walled Structs., 2, 1–25.
7.
Bradford, M. A., and Trahair, N. S. (1982). “Distortional buckling of thin‐web beam‐columns.” Engrg. Structs., 4(1), 2–10.
8.
Bulson, P. S. (1967). “Local instability and strength of structural sections.” Thin‐Walled Structures, A. H. Chilver, ed., Chatto and Windus, London, U.K., 155–233.
9.
Bulson, P. S. (1970). The stability of flat plates. Chatto and Windus, London, U.K.
10.
Cheung, Y. K. (1976). Finite strip method in structural analysis. Pergamon Press, Oxford, U.K.
11.
Chilver, A. H. (1951). “The behaviour of thin‐walled structural members in compression.” Engrg., 172, 281–292.
12.
Chilver, A. H. (1953). “A generalised approach to the local instability of certain thin‐walled struts.” Aero Quart., 4, 245–257.
13.
Desmond, T. P., Pekoz, T., and Winter, G. (1981). “Edge stiffeners for thin‐walled members.” J. Struct. Div., ASCE, 107(2), 329–353.
14.
Divakaran, S. (1966). “Local instability of thin‐walled channel columns with formed longitudinal stiffeners of circular cross‐sections.” Thesis presented to the University of Toronto, at Toronto, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Gallagher, R. H., Lien, S., and Mau, S. T. (1971). “A procedure for finite element plate and shell pre‐ and postbuckling analysis.” Proc., Conf. on Matrix Methods of Struct. Analysis, Wright‐Patterson Air Force Base, Ohio, AFFDL‐TR‐71‐160, 857–868.
16.
Graves Smith, T. R. (1968). “The postbuckling behaviour of thinwalled columns.” Eighth Congress, Int. Association of Bridge and Struct. Engrg., New York, N.Y., 311–317.
17.
Graves Smith, T. R. (1972). “The post‐buckled behaviour of a thin‐walled box beam in pure bending.” Int. J. Mech. Sci., 14, 711–722.
18.
Graves Smith, T. R., and Sridharan, S. (1978a). “A finite strip method for the buckling of plate structures under arbitrary loading.” Int. J. Mech. Sci., 20, 685–693.
19.
Graves Smith, T. R., and Sridharan, S. (1978b). “A finite strip method for the post‐locally buckled analysis of plate structures.” Int. J. Mech. Sci., 20, 833–842.
20.
Hancock, G. J. (1978). “Local, distortional and lateral buckling of I‐beams.” J. Struct. Div., ASCE, 104(11), 1787–1798.
21.
Hancock, G. J. (1981). “Nonlinear analysis of thin sections in compression.” J. Struct. Div., ASCE, 107(3), 455–465.
22.
Hancock, G. J. (1985). “Nonlinear analysis of thin‐walled I‐sections in bending.” Aspects of the Analysis of Plate Structures, D. J. Dawe et al., eds., Oxford University Press, Oxford, U.K., 83–106.
23.
Heirmerl, G. (1947). “Determination of plate compressive strength.” T.N. 1480, NACA.
24.
Kapur, K. K., and Hartz, B. J. (1966). “Stability of plates using the finite element method.” J. Engrg. Mech. Div., ASCE, 92(2), 177–197.
25.
Kollbrunner, C. F. (1946). “Das Ausbeuler der auf einseitigen gleichmassig verteilten Druck beanspruchten Platten im elastischen and plastischen Bereich.” Mitteilungen 17, Inst. fur Baustatik, Eidgenossische Technische Hochschule, Zurich, Switzerland (in German).
26.
Lundquist, E. E., Stowell, E. Z., and Schuette, E. H. (1943). “Principles of moment distribution applied to stability of structures composed of bars and plates.” Report 809, NACA.
27.
Plank, R. J., and Wittrick, W. H. (1974). “Buckling under combined loading of thin, flat‐walled structures by a complex finite strip method.” Int. J. Num. Meth. Engrg., 8, 323–339.
28.
Przemieniecki, J. S. (1968). “Discrete element methods for stability analysis of complex structures.” The Aero. J., 72, 1077–1092.
29.
Przemieniecki, J. S. (1972). “Matrix analysis of local instability in plates, stiffened panels and columns.” Int. J. Num. Meth. Engrg., 5, 209–216.
30.
Przemieniecki, J. S. (1973). “Finite element analysis of local instability.” Amer. Inst. Aeronautics and Astronautics, 11(1), 33–39.
31.
Rhodes, J. R., and Harvey, J. M. (1970). “The local buckling and post local buckling behaviour of thinwalled beams.” Aero. Quart., 19, 363–375.
32.
Rhodes, J. R., and Harvey, J. M. (1975). “The local instability of thin‐walled sections under combined compression and bending.” Proc., Third Int. Specialty Conf. on Cold‐Formed Steel Structs., St. Louis, Mo., Nov., 51–58.
33.
Rhodes, J. R., and Harvey, J. M. (1976). “Plain channel struts in compression and bending beyond the local buckling load.” Int. J. Mech. Sci., 8, 511–519.
34.
Stowell, E. Z., and Lundquist, E. E. (1939). “Local instability of columns with channel and rectangular tube sections.” T.N. 743, NACA.
35.
Trahair, N. S., and Bradford, M. A. (1988). The behaviour and design of steel structures. 2nd Ed., Chapman and Hall, London, U.K.
36.
Usami, T. (1983). “Post‐buckling of plates in compression and bending.” J. Struct. Engrg., ASCE, 108(3), 591–609.
37.
Van der Maas, C. (1954). “Charts for the calculation of critical compressive stress for local instability of columns with hat sections.” J. Aero. Sci., 6, 399–410.
38.
von Karman, T. (1910). “Festigkeitsprobleme in Maschinebau.” Encyk. der Math Wiss, 4(4), 349–360 (in German).
39.
Walker, A. C. (1967). “Flat rectangular plates subject to a linearly varying edge compressive loading.” Thin Walled Structures, A. H. Chilver, ed., Chatto and Windus, London, U.K., 208–250.
40.
Winter, G. (1968). “Thin walled structures—Theoretical solutions and test results.” Prel. Pub. of Eighth Congress, Int. Association of Bridge and Struct. Engrg., 101–112.
41.
Wittrick, W. H. (1968). “A unified approach to the initial buckling of stiffened panels in compression.” Aero. Quart., 19, 265–283.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 116Issue 6June 1990
Pages: 1594 - 1610

History

Published online: Jun 1, 1990
Published in print: Jun 1990

Permissions

Request permissions for this article.

Authors

Affiliations

Mark A. Bradford, Member, ASCE
Lect. in Civ. Engrg., The Univ. of New South Wales, P.O. Box 1, Kensington, NSW 2033, Australia

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