Direct Strength Method for Design of Cold-Formed Steel Columns with Holes
Publication: Journal of Structural Engineering
Volume 137, Issue 5
Abstract
In this paper, design expressions are derived that extend the American Iron and Steel Institute (AISI) direct strength method (DSM) to cold-formed steel columns with holes. For elastic buckling-controlled failures, column capacity is accurately predicted by using existing DSM design equations and the cross-section and global elastic buckling properties calculated including the influence of holes. For column failures in the inelastic regime, in which strength approaches the squash load, limits are imposed to restrict column capacity to that of the net cross section at a hole. The proposed design expressions are validated with a database of existing experiments on cold-formed steel columns with holes, and more than 200 nonlinear finite-element simulations that evaluate the strength prediction equations across a wide range of hole sizes, hole spacings, hole shapes, and column dimensions. The recommended DSM approach is demonstrated to provide a broad improvement in prediction accuracy and generality when compared to the AISI main specification, and, with the recent introduction of simplified methods for calculating elastic buckling properties including the influence of holes, it is ready for implementation in practice.
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Acknowledgments
The writers are grateful to the American Iron and Steel Institute for encouraging and supporting this work. Comments from members of the AISI Committee on Specifications, including Tom Trestain, Helen Chen, Bob Glauz, and others, are also greatly appreciated.
References
ABAQUS/Standard version 6.7-3 [Computer software]. Providence, RI. 〈http://www.simulia.com/〉.
Abdel-Rahman, N., and Sivakumaran, K. S. (1998). “Effective design width for perforated cold-formed steel compression members.” Can. J. Civ. Eng., 25(2), 319–330.
AISI-S100. (2007). North American specification for the design of cold-formed steel structural members, American Iron and Steel Institute, Washington, DC.
Crisfield, M. A. (1981). “A fast incremental\iteration solution procedure that handles snap-through.” Comput. Struct., 13(1–3), 55–62.
Galambos, T. (1998). Guide to stability design criteria for metal structures, 5th Ed., Wiley, New York.
Gao, T., and Moen, C. D. (2010). “The cold work of forming effect in structural steel members.” Proc., Int. Colloquium, Stability and Ductility of Steel Structures, Federal Univ. of Rio de Janeiro and State Univ. of Rio de Janeiro, Rio de Janeiro, Brazil.
Kesti, J. (2000). “Local and distortional buckling of perforated steel wall studs.” Ph.D. thesis, Helsinki Univ. of Technology, Espoo, Finland.
Li, Z., and Schafer, B. W. (2010). “Application of the finite strip method in cold-formed steel member design.” J. Constr. Steel Res., 66(8–9), 971–980.
Miller, T. H., and Peköz, T. (1994). “Unstiffened strip approach for perforated wall studs.” J. Struct. Eng., 120(2), 410–421.
Moen, C. D. (2008). “Direct strength design for cold-formed steel members with perforations.” Ph.D. thesis, Johns Hopkins Univ., Baltimore.
Moen, C. D., Igusa, T., and Schafer, B. W. (2008). “Prediction of residual stresses and strains in cold-formed steel members.” Thin-Walled Struct., 46(11), 1274–1289.
Moen, C. D., and Schafer, B. W. (2008). “Experiments on cold-formed steel columns with holes.” Thin-Walled Struct., 46, 1164–1182.
Moen, C. D., and Schafer, B. W. (2009a). “Elastic buckling of cold-formed steel columns and beams with holes.” Eng. Struct., 31(12), 2812–2824.
Moen, C. D., and Schafer, B. W. (2009b). “Elastic buckling of thin plates with holes in compression or bending.” Thin-Walled Struct., 47(12), 1597–1607.
Moen, C. D., and Schafer, B. W. (2010). “Direct strength design of cold-formed steel columns with holes.” 2010 Annual Technical Session and Meeting, Structural Stability Research Council, Orlando, FL.
Ortiz-Colberg, R. A. (1981). “The load carrying capacity of perforated cold-formed steel columns.” M.S. thesis, Cornell Univ., Ithaca, NY.
Peköz, T. (1987). “Development of a unified approach to the design of cold-formed steel members.” Rep. No. CF 87-1, American Iron and Steel Institute, Washington, DC.
Powell, G., and Simons, J. (1981). “Improved iterative strategy for nonlinear structures.” Int. J. Numer. Methods Eng., 17, 1455–1467.
Pu, Y., Godley, M. H. R., Beale, R. G., and Lau, H. H. (1999). “Prediction of ultimate capacity of perforated lipped channels.” J. Struct. Eng., 125(5), 510–514.
Quach, W. M., Teng, J. G., and Chung, K. F. (2006). “Finite element predictions of residual stresses in press-braked thin-walled steel sections.” Eng. Struct., 28, 1609–1619.
Ramm, E. (1981). “Strategies for tracing nonlinear response near limit points.” Nonlinear finite element analysis in structural mechanics: Proc., Europe-US workshop, Springer-Verlag, Germany, 63–89.
Schafer, B. W. (1997). “Cold-formed steel behavior and design: Analytical and numerical modeling of elements and members with longitudinal stiffeners.” Ph.D. thesis, Cornell Univ., Ithaca, NY.
Schafer, B. W. (2002). “Local, distortional, and Euler buckling of thin-walled columns.” J. Struct. Eng., 128(3), 289–299.
Schafer, B. W., and Ádàny, S. (2006). “Buckling analysis of cold-formed steel members using CUFSM: Conventional and constrained finite strip methods.” 18th Int. Specialty Conf. on Cold-Formed Steel Structures, Wei-Wen Yu Center for Cold-Formed Steel Structures, Missouri Univ. of Science and Technology, Rolla, MO.
Schafer, B. W., Li, Z., and Moen, C. D. (2010). “Computational modeling of cold-formed steel.” Thin-Walled Struct., 48(10–11), 752–762.
Schafer, B. W., and Peköz, T. (1998). “Computational modeling of cold-formed steel: Characterizing geometric imperfections and residual stresses.” J. Constr. Steel Res., 47, 193–210.
Sivakumaran, K. S. (1987). “Load capacity of uniformly compressed cold-formed steel section with punched web.” Can. J. Civ. Eng., 14, 550–558.
Steel Stud Manufacturers Association (SSMA). (2001). Product technical information, ICBO ER-4943P, Glen Ellyn, IL.
Zeinoddini, V. M., and Schafer, B. W. (2008). “Out-of-straightness measurements for SSMA studs.” Steel Stud Manufacturers Association, Glen Ellyn, IL.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 137 • Issue 5 • May 2011
Pages: 559 - 570
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Apr 22, 2010
Accepted: Aug 20, 2010
Published online: Aug 26, 2010
Published in print: May 1, 2011
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