Technical Papers
Jun 22, 2020

Unstiffened Elements as Limiting Case of Distortional Buckling of Partially Stiffened Elements

Publication: Journal of Structural Engineering
Volume 146, Issue 9

Abstract

Lip stiffened flanges in cold-formed steel compression members may undergo local or distortional buckling depending on the slenderness of the flange and rigidity of the lip. In distortional buckling, the flange-lip assembly moves perpendicular to the flange. The decrease in stiffness (or depth) of the lip increases the vulnerability of such elements to distortional buckling. In the limiting case of zero lip depth, the plate behaves as an unstiffened element. Hence the behavior of the unstiffened element may be intuitively understood as the limiting case of distortional buckling of lip stiffened element as the lip depth tends to zero. In this study, experimental and numerical results are used to show that both elastic buckling and ultimate strength behavior of a uniformly compressed unstiffened element may also be represented as distortional buckling of the lip stiffened element of zero lip depth. In addition to the effective width method, the modified direct strength method equation developed for distortional buckling is also shown to accurately estimate the ultimate strength of uniformly compressed unstiffened elements.

Get full access to this article

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

Data Availability Statement

Data generated or analyzed during the study are available from the corresponding author by request.

Acknowledgments

The first author gratefully acknowledge the financial support provided by the Ministry of Human Resource Development (MHRD), India. The investigation reported in this paper was funded by Science Engineering and Research Board (SERB) Research Grant (No. CRG/2018/001969) from the Department of Science and Technology (DST), Government of India. The second author would like to acknowledge the financial assistance received from this project. The authors also acknowledge Professor Pramod S. Mehta (IIT Palakkad) for his critical comments on the results generated in this study, which helped to improve the quality of this paper.

References

AISI (American Iron and Steel Institute). 2016. North American specification for the design of cold-formed steel structural members. S136. Washington, DC: AISI.
AS/NZS (Australian/New Zealand Standard). 2018. Cold-formed steel structures. AS/NZS 4600. Sydney, Australia: AS/NZS.
Bambach, M. 2003. “Thin-walled sections with unstiffened elements under stress gradients.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Sydney.
Bambach, M. 2006. “Local buckling and post-local buckling redistribution of stress in slender plates and sections.” Thin Walled Struct. 44 (10): 1118–1128. https://doi.org/10.1016/j.tws.2006.10.005.
Bambach, M. 2009a. “Design of uniformly compressed edge-stiffened flanges and sections that contain them.” Thin Walled Struct. 47 (3): 277–294. https://doi.org/10.1016/j.tws.2008.07.011.
Bambach, M. 2009b. “Unified element and section approach to design of cold-formed steel structures.” J. Struct. Eng. 136 (4): 343–353. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000120.
Bambach, M. 2011. “Experiments of edge-stiffened plates in uniform compression.” Thin Walled Struct. 49 (2): 343–350. https://doi.org/10.1016/j.tws.2010.10.006.
Bambach, M., and K. Rasmussen. 2004a. “Effects of anchoring tensile stresses in axially loaded plates and sections.” Thin Walled Struct. 42 (10): 1465–1479. https://doi.org/10.1016/j.tws.2004.04.001.
Bambach, M., and K. Rasmussen. 2004b. “Tests of unstiffened plate elements under combined compression and bending.” J. Struct. Eng. 130 (10): 1602–1610. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1602).
Bulson, P. S. 1970. The stability of flat plates. London: Chatto and Windus.
CEN (European Committee for Standardization). 2006. Eurocode 3: Design of steel structures. 1–5: Plated structural elements. EN 1993-1-5. Brussels, Belgium: CEN.
Desmond, T. P., G. Winter, and T. Pekoz. 1981. “Edge stiffeners for thin-walled members.” J. Struct. Div. 107 (2): 329–353. Rolla, MO: Univ. of Missouri-Rolla.
Dinis, P. B., D. Camotim, and N. Silvestre. 2010. “On the local and global buckling behaviour of angle, t-section and cruciform thin-walled members.” Thin Walled Struct. 48 (10–11): 786–797. https://doi.org/10.1016/j.tws.2010.04.012.
Dinis, P. B., D. Camotim, and N. Silvestre. 2012. “On the mechanics of thin-walled angle column instability.” Thin Walled Struct. 52 (Mar): 80–89. https://doi.org/10.1016/j.tws.2011.12.007.
Ellobody, E., and B. Young. 2005. “Behavior of cold-formed steel plain angle columns.” J. Struct. Eng. 131 (3): 457–466. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:3(457).
Gjelsvik, A., and D. Hodges. 1982. The theory of thin-walled bars. New York: Wiley.
Hancock, G. J. 1985. “Distortional buckling of steel storage rack columns.” J. Struct. Eng. 111 (12): 2770–2783. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:12(2770).
Kalyanaraman, V. 1976. Performance of unstiffened compression elements, 184. Center for Cold-Formed Steel Structures Library.
Kumar, M. A., and V. Kalyanaraman. 2010. “Evaluation of direct strength method for CFS compression members without stiffeners.” J. Struct. Eng. 136 (7): 879–885. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000185.
Kumar, M. A., and V. Kalyanaraman. 2014. “Distortional buckling of CFS stiffened lipped channel compression members.” J. Struct. Eng. 140 (12): 04014099. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001027.
Kwon, Y. B., and G. J. Hancock. 1992. “Tests of cold-formed channels with local and distortional buckling.” J. Struct. Eng. 118 (7): 1786–1803. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:7(1786).
Lau, S. C., and G. J. Hancock. 1987. “Distortional buckling formulas for channel columns.” J. Struct. Eng. 113 (5): 1063–1078. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1063).
Mesacasa, Jr., E. 2011. Structural behavior and design of cold-formed steel angle columns. [In Portuguese.] São Paulo, Brazil: School of Engineering at São Carlos, Univ. of São Paulo.
Popovic, D., G. J. Hancock, and K. J. Rasmussen. 1999. “Axial compression tests of cold-formed angles.” J. Struct. Eng. 125 (5): 515–523. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:5(515).
Popovic, D., G. J. Hancock, and K. J. Rasmussen. 2001. “Compression tests on cold-formed angles loaded parallel with a leg.” J. Struct. Eng. 127 (6): 600–607. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:6(600).
Rasmussen, K. J. 1994. “Design of thin-walled columns with unstiffened flanges.” Eng. Struct. 16 (5): 307–316. https://doi.org/10.1016/0141-0296(94)90022-1.
Rasmussen, K. J. 2005. “Design of angle columns with locally unstable legs.” J. Struct. Eng. 131 (10): 1553–1560. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1553).
Schafer, B. 2002. “Local, distortional, and Euler buckling of thin-walled columns.” J. Struct. Eng. 128 (3): 289–299. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:3(289).
Schafer, B. W., and S. Adany. 2005. Understanding and classifying local, distortional and global buckling in open thin-walled members. Montreal: Structural Stability Research Council.
Silvestre, N., P. B. Dinis, and D. Camotim. 2012. “Developments on the design of cold-formed steel angles.” J. Struct. Eng. 139 (5): 680–694. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000670.
Timoshenko, S. P., and J. M. Gere. 1961. Theory of elastic stability. New York: Mc-Graw Hill.
Winter, G. 1947. “Strength of thin steel compression flanges.” Trans. ASCE 112 (1): 527.
Ye, J., and K. Rasmussen. 2008. “Compression strength of unstiffened elements in cold-reduced high strength steel.” J. Struct. Eng. 134 (2): 189–197. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(189).
Young, B. 2004. “Tests and design of fixed-ended cold-formed steel plain angle columns.” J. Struct. Eng. 130 (12): 1931–1940. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:12(1931).
Yu, W. W. 2000. Cold-formed steel design. New York: Wiley.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 9September 2020

History

Received: Sep 18, 2019
Accepted: Feb 24, 2020
Published online: Jun 22, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 22, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

K. C. Kalam Aswathy [email protected]
Ph.D. Scholar, Dept. of Civil Engineering, Indian Institute of Technology Palakkad, Palakkad, Kerala 678623, India. Email: [email protected]
M. V. Anil Kumar [email protected]
Assistant Professor, Dept. of Civil Engineering, Indian Institute of Technology Palakkad, Palakkad, Kerala 678623, India (corresponding author). Email: [email protected]

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