Distortional Buckling of Thin-Walled Beams/Panels. I: Theory
Publication: Journal of Structural Engineering
Volume 121, Issue 4
Abstract
The introduction of the standing seam panel for roof systems provided the building industry with an efficient solution to watertightness problems. These panels have two major advantages over the conventional trapezoidal through-fastened panel: an elevated seam and concealed “hold-down” clips. The relatively small depth-to-width ratio of the panel guarantees that overall, the panel is laterally stable under gravity load. The capacity of laterally stable standing-seam panels may, however, be reduced due to lateral instability of the unsupported compression flange. This mode of instability has been referred to in the literature as distortional buckling—a form of instability for unsupported lengths between those for local and lateral buckling. In the present paper, an analytical expression, based on a beam on elastic foundation model, is presented for estimating the elastic distortional buckling stress in sections with laterally unsupported compression flanges. The beam is assumed to comprise the outstanding leg, and the elastic foundation is provided by the rotational restraint of the tension flange and the web. A comparison of the analytical results with the results from elastic finite-strip buckling analyses shows good agreement between the two methods of analysis.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Argyris, J. H. (1954). “Flexure-torsion failure of panels.”Aircraft Engrg., 26(304), 174–184, 213–219.
2.
Cold-formed steel design manual. (1986). American Iron and Steel Institute (AISI), Washington, D.C.
3.
Danielson, D. A., Khil, D. P., and Hodges, D. H.(1990). “Tripping of thin-walled plating stiffeners in axial compression.”Thin-Walled Struct., 10(2), 121–142.
4.
“Design of steel structures: appendix A—cold formed steel sheeting and members.” (1989). Eurocode No. 3, EC 3, Delft, Netherlands.
5.
Douty, R. T. (1962). “A design approach to the strength of laterally unbraced compression flanges.”Bull. No. 37, Engineering Experimental Station, Cornell University, Ithaca, N.Y.
6.
“European recommendations for the design of light gauge steel members.” (1987). Eur. Convention for Construction Steelwork (ECCS), 1st Ed., Karlsruhe, Germany.
7.
Goodier, J. N. (1942). “Torsional and flexural buckling of bars of thin-walled open sections under compressive and bending loads.”Trans., ASME, 64, A103–A107.
8.
Guide to stability design criteria for metal structures. (1988). 4th Ed., T. V. Galambos, ed., Structural Stability Research Council (SSRC), John Wiley and Sons, New York, N.Y.
9.
Haussler, R. W. (1964). “Strength of elastically stabilized beams.”J. Struct. Div., ASCE, 90(3).
10.
Hancock, G. J.(1978). “Local, distortional and lateral buckling of I-beams.”J. Struct. Div., ASCE, 104(11), 1787–1798.
11.
Key, P. W., and Hancock, G. J. (1988). “Nonlinear analysis of cold-formed sections using the finite strip method.”Ninth Int. Specialty Conf. on Cold-Formed Steel Struct., Dept. of Civ. Engrg., University of Missouri–Rolla, Rolla, Mo.
12.
Lau, S. C. W., and Hancock, G. J.(1987). “Distortional buckling formulas for channel columns.”J. Struct. Engrg., 113(5), 1063–1078.
13.
Seah, L. K., and Rhodes, J. (1990). “Behavior of channel beams with unbraced edge stiffeners.”Tenth Int. Specialty Conf. on Cold-Formed Steel Struct., Dept. of Civ. Engrg., University of Missouri–Rolla, Rolla, Mo.
14.
Serrette, R. L. (1992). “Behavior of cold-formed steel panels with laterally unsupported compression flanges,” PhD thesis, Cornell University, Ithaca, N.Y.
15.
Sharp, M. L.(1966). “Longitudinal stiffeners for compression members.”J. Struct. Div., ASCE, 92(5), 187–211.
16.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw Hill, New York, N.Y.
17.
Vlasov, V. Z. (1959). Thin-walled elastic beams, 2nd Ed., National Science Foundation and the Department of Commerce, Washington, D.C.
18.
Weng, C. C., and Peköz, T. (1989). “Residual stresses in cold-formed steel members.”Ninth Int. Specialty Conf. on Cold-Formed Steel Struct., Dept. of Civ. Engrg., University of Missouri–Rolla, Rolla, Mo.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 121 • Issue 4 • April 1995
Pages: 757 - 766
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Apr 1, 1995
Published in print: Apr 1995
Authors
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.