Bimoment Contribution to Buckling of Thin-Walled Beams with Different Boundary Conditions
Publication: Journal of Engineering Mechanics
Volume 143, Issue 6
Abstract
In this paper the influence of bimoment, induced by external axial loads, on the global buckling of thin-walled Z-section beams, subjected to different boundary conditions, is studied. Since bimoment varies along the beam axis, the problem of torsional and torsional-flexural buckling of thin-walled beams is defined by linear homogeneous differential equations of the second-order theory with a variable coefficient. To obtain the buckling load numerically, a finite-difference method is employed for discretizing the governing differential equations. To verify the validity and the accuracy of this study, numerical solutions are presented and compared with those calculated by simulation software.
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Acknowledgments
The present work has been supported by The Ministry of Education and Science of the Republic of Serbia (Project No. ON174027).
References
Ádány, S., and Schafer, B. W., (2006). “Buckling mode decomposition of single-branched open cross-section members via finite strip method: Derivation.” Thin-Walled Struct., 44(5), 563–584.
Ádány, S., and Visy, D. (2012). “Global buckling of thin-walled simply supported columns: Numerical studies.” Thin-Walled Struct., 54, 82–93.
ANSYS version 14.0 [Computer software]. Ansys, Inc., Canonsburg, PA.
Bažant, Z. P., and Cedolin, L. (1991). Stability of structures, Oxford Univ. Press, New York.
Brush, D., and Almroth, B. (1975). Buckling of bars, plates and shells, McGraw-Hill, New York.
Camotim, D., Basiglia, C., and Silvestre, N., (2010). “GBT buckling analysis of thin-walled steel frames: A state-of-the-art report.” Thin-Walled Struct., 48(10–11), 726–743.
Chen, W. F., and Atsuta, T. (1977). Theory of beam-columns, space behavior and design, Vol. 2, McGraw-Hill, New York.
Galambos, T. V. (1998). Guide to stability and design criteria for metal structures, Wiley, New York.
Hajdin, N., (1980). “A contribution to the non-linear theory of thin-walled member with open cross section.” Acadèmie Serbe des Sciences et des Arts, Bulletin, 73(16), 1–12.
Murray, N. W. (1984). Introduction to the theory of thin-walled structures, Clarendon Press, Oxford, U.K.
Prokić, A., Mandić, R., and Vojnić-Purčar, M. (2015). “Influence of bimoment on the torsional and flexural–torsional elastic stability of thin-walled beams.” Thin-Walled Struct., 89, 25–30.
Rasmussen, K. J. R. (2006). “Bifurcation of locally buckled point symmetric columns: Experimental investigations.”, Univ. of Sydney, Sydney, NSW, Australia.
Rzeszut, K., and Garstecki, A. (2009). “Modeling of initial geometrical imperfections in stability analysis of thin-walled structures.” J. Theor. Appl. Mech., 47(3), 667–684.
Sahraei, A., Wu, L., and Mohareb, M. (2015). “Finite element formulation for lateral torsional buckling analysis of shear deformable mono-symmetric thin-walled members.” Thin-Walled Struct., 89, 212–226.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability, McGraw-Hill, New York.
Trahair, N. S. (1993). Flexural–torsional buckling of structures, F&FN Spon, Chapman & Hall, London.
Vlasov, V. Z. (1959). Thin-walled beams. Gosudarstvenoe izdateljstvo fiziko-matematiceskoj literature, Moscow (in Russian).
Yoo, C. H. (1980). “Bimoment contribution to stability of thin-walled assemblages.” Comput. Struct., 11(5), 465–471.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 6 • June 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 18, 2016
Accepted: Oct 20, 2016
Published online: Feb 15, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 15, 2017
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