Stability of Sway-Inhibited Prismatic Columns Subjected to Internal Axial Loads
Publication: Practice Periodical on Structural Design and Construction
Volume 22, Issue 1
Abstract
Prismatic members subjected to internal axial loads exist widely in engineering applications. Because the effects of internal loads and end loads on stability are quite different, the traditional effective length method is not applicable. Engineers require an efficient and convenient method for solving the stability problem of such members. A two-bar model is proposed to illustrate the concept that the effect of compressive axial loads on the stability of sway-inhibited columns can be understood as a negative lateral stiffness. After obtaining the expression of negative lateral stiffness, a relationship between end loads and internal loads can be established so that the internal loads can be considered equivalent to end loads. Then, the column subjected to internal loads can be analyzed as a normal column (without internal axial loads), and the critical buckling load can be obtained easily with the Euler formula. Eigenvalue buckling analyses were performed to examine the proposed method, and the comparison results indicate it has high accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors express their gratitude and sincere appreciation for the funding provided by the China Postdoctoral Science Foundation (Award No. 2014M552321) and Chongqing Postdoctoral Science Research Special Funding (Award No. Xm2014090).
References
AISC. (2010). “Specification for structural steel buildings.” ANSI/AISC 360-10, Chicago.
Aristizábal-Ochoa, J. D. (2001). “Stability and second-order analyses of frames with semirigid connections under distributed axial loads.” J. Struct. Eng., 1306–1315.
Aristizábal-Ochoa, J. D. (2011). “Stability of columns with semi-rigid connections including shear effects using Engesser, Haringx and Euler approaches.” Eng. Struct., 33(3), 868–880.
Aristizábal-Ochoa, J. D. (2013). “Stability of multi-column systems with initial imperfections and non-linear connections.” Int. J. Non Linear Mech., 57, 75–89.
BSI (British Standards Institution). (2000). “Structural use of steelwork in building part 1: code of practice for design rolled and welded sections.” BS 5950-1, London.
Chan, S. L., and Kitipornchai, S. (1987). “Geometric nonlinear analysis of asymmetric thin-walled beam-columns.” Eng. Struct., 9(4), 243–254.
Chen, J., and Chen, H. J. (2009). Stability of steel structures: Theory and design, China Electric Power Press, Beijing.
Chen, S. (2007). “Effective length of columns with corbel in mill building frames.” J. Build. Struct., 28(5), 54–60 (in Chinese).
CNS (Chinese National Standards). (2003). “Code for design of steel structures.” GB 50017-2003, China Planning Press, Beijing.
Duberg, J. E., and Wilder, T. W. (1950). “Column behavior in the plastic stress range.” J. Aeronaut. Sci., 17(6), 323–327.
Girão Coelho, A. M., Simão, P. D., and Bijlaard, F. S. K. (2010). “Stability design criteria for steel column splices.” J. Constr. Steel Res., 66(10), 1261–1277.
Girão Coelho, A. M., Simão, P. D., and Bijlaard, F. S. K. (2012). “Guidance for the design of spliced columns.” J. Struct. Eng., 1079–1088.
Kavanagh, T. C. (1960). “Effective length of framed columns.” J. Struct. Div., 86, 1–22.
Lindner, J. (2008). “Old and New solutions for contact splices in columns.” J. Constr. Steel Res., 64(7-8), 833–844.
Lui, E. M., and Chen, W. F. (1988). “Behavior of braced and unbraced semi-rigid frames.” Int. J. Solids Struct., 24(9), 893–913.
Mathur, K., Fahnestock, L. A., Okazaki, T., and Parkolap, M. J. (2012). “Impact of residual stresses and initial imperfections on the seismic response of steel moment frames.” J. Struct. Eng., 942–951.
Murakami, Y., Kawabe, T., and Iwasaki, I. (1996). “On the effect of residual stresses on column strength.” J. Soc. Mater. Sci. Japan, 15(159), 864–870.
Pi, Y. L., and Trahair, N. S. (1994). “Nonlinear inelastic analysis of steel beam-columns. I: Theory.” J. Struct. Eng., 2041–2061.
Pinarbasi S., Okay F., Akpinar E, Akpinar E., and Erdogan H. (2013). “Stability analysis of two-segment stepped columns with different end conditions and internal axial loads” Math. Prob. Eng., 2013(4), ID:858906.
Razzaq, Z., and Calash, A. Y. (1985). “Imperfect columns with biaxial partial restraints.” J. Struct. Eng., 758–776.
SAP2000 [Computer software]. Computers and Structures, Walnut Creek, CA.
Shanley, F. R. (1947). “Inelastic column theory.” J. Aeronaut. Sci., 14(5), 261–268.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, 2nd Ed., McGraw-Hill, New York.
Tong, G. S., and Wang, J. P. (2006). “Column effective lengths considering inter-story and inter-column interactions in sway-permitted frames.” J. Constr. Steel Res., 62(5), 413–423.
White, D. W., and Hajjar, J. F. (1997). “Buckling models and stability design of steel frames: A unified approach.” J. Constr. Steel Res., 42(3), 171–207.
Wilson, W. M., and Brown, R. L. (1935). “The effect of residual longitudinal stresses on the load carrying capacity of steel columns.” Engineering Bulletin No. 280, Univ. of Illinois, Champaign, IL.
Yura, J. A. (1971). “The effective length of columns in unbraced frames.” AISC Eng. J., 8(2), 37–42.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Mar 7, 2016
Accepted: Jul 26, 2016
Published online: Sep 1, 2016
Published in print: Feb 1, 2017
Discussion open until: Feb 1, 2017
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.