Thermal Effect on the Postbuckling Behavior of an Elastic or Elastoplastic Truss
Publication: Journal of Engineering Mechanics
Volume 134, Issue 4
Abstract
Temperature rise may lead to strength degradation and stiffness deterioration of structures under fire conditions. The purpose of this paper is to theoretically study the thermal effect on the postbuckling behavior of an elastic or elastoplastic two-member truss, based on large-deformation elasticity considerations. Two kinds of loadings are considered, i.e., trusses under constant temperature but increasing loads, and trusses under constant loads but rising temperature. For the case with constant temperature, the critical load of an elastic truss will be greatly reduced if the effect of yielding is taken into account. Moreover, yielding of material can cause the truss to bifurcate from the original elastic path. For the case with constant loads, a critical temperature that occurs as the limit point of the temperature–deflection curve can always be found. Besides, the presence of yielding can drastically reduce the critical temperature of an elastic truss, causing it to collapse in an abrupt manner. The solutions presented herein can be used as benchmarks for calibration of the accuracy of general finite-element procedures in analyzing structures under fire conditions.
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Acknowledgments
The research reported herein is partially sponsored by the National Science Council via a series of research projects to the senior author, including particularly the one with Grant No. NSC 96-2211-E-002-117.
References
American Institute of Steel Construction (AISC). (1994). Manual of steel construction: Load and resistance factor design. structural members, specification, and codes, 2nd Ed., I, AISC, Chicago.
Bailey, C. G., Burgess, I. W., and Plank, R. J. (1996). “Analysis of the effects of cooling and fire spread steel-framed buildings.” Fire Saf. J., 26, 273–293.
Budiansky, B. (1974). “Theory of buckling and postbuckling behavior of elastic structures.” Advances in applied mechanics, Vol. 14, Academic, New York, 1–65.
Corradi, L., Poggi, C., and Setti, P. (1990). “Interaction domains for steel beam columns in fire conditions.” J. Constr. Steel Res., 17(3), 217–235.
European Committee for Standardization (CEN). (1993). “Design of steel structures. Part 1.2: Structural fire design.” Eurocode 3, CEN, Brussels, Belgium.
Hutchinson, J. W., and Koiter, W. T. (1970). “Postbuckling theory.” Appl. Mech. Rev., 23, 1353–1366.
Iu, C. K., Chan, S. L., and Zha, X. X. (2005). “Nonlinear pre-fire and post-fire analysis of steel frames.” Eng. Struct., 27(11), 1689–1702.
Najjar, S. R., and Burgess, I. W. (1996). “Nonlinear analysis for three-dimensional steel frames in fire conditions.” Eng. Struct., 18(1), 77–89.
Pecknold, D. A., Ghaboussi, J., and Healey, T. J. (1985). “Snap-through and bifurcation in a simple structure.” J. Eng. Mech., 111(7), 909–922.
Saab, H. A., and Nethercot, D. A. (1991). “Modeling steel frame behavior under fire conditions.” Eng. Struct., 13, 371–382.
Thompson, J. M. T., and Hunt, G. W. (1973). A General theory of elastic stability, Wiley, New York.
Yang, Y. B., and Leu, L. J. (1990). “Postbuckling analysis of trusses with various Lagrangian formulations.” AIAA J., 28(5), 946–948.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 134 • Issue 4 • April 2008
Pages: 330 - 338
Copyright
© 2008 ASCE.
History
Received: Dec 5, 2006
Accepted: Sep 10, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
Notes
Note. Associate Editor: Khaled W. Shahwan
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