Axially Restrained Beam-Column with Initial Imperfections and Nonlinear End Connections Subject to High Temperatures
Publication: Journal of Engineering Mechanics
Volume 140, Issue 4
Abstract
A nonlinear formulation capable of accurately and efficiently predicting the nonlinear response of an axially restrained prismatic beam-column with initial geometric imperfections (i.e., initial curvature and connection eccentricities) and nonlinear temperature-dependent end connections under elevated temperatures is presented. The proposed model includes the effects of (1) an arbitrary thermal gradient along both the span and cross section of the member and (2) the nonlinear behavior and any stiffness and strength degradations of the beam-column material. However, high-temperature creep and shear deflection effects are not taken into consideration. The proposed model is generic allowing the implementation of any thermal regime and the use of any stress-strain-temperature curves of the beam-column material. The stress-strain-temperature curves of the material can be either theoretical or experimental providing a more realistic approach to the structural response of beam-columns subjected to different fire conditions. Two comprehensive examples are presented and discussed in detail showing the effectiveness and accuracy of the proposed iterative method on the nonlinear large-deflection behavior of slender prismatic beam-columns under high temperatures, including the combined effects of initial imperfections, end restraints, and nonlinear end connections.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank COLCIENCIAS (COLOMBIA) and the Civil Engineering Department, School of Mines of the National University of Colombia at Medellín for providing financial support.
References
ABAQUS. (2006). User’s manual—Version 6.11, Pawtucket, RI.
AISC. (2010). “Specification for structural steel buildings.” ANSI/AISC 360-10, Chicago.
Al-Jabri, K. S., Burgess, I. W., Lennon, T., and Plank, R. J. (2005). “Moment–rotation–temperature curves for semi-rigid joints.” J. Constr. Steel Res., 61(3), 281–303.
Al-Jabri, K. S., Burgess, I. W., and Plank, R. J. (2004). “Prediction of the degradation of connection characteristics at elevated temperature.” J. Constr. Steel Res., 60(3–5), 771–781.
Aristizabal-Ochoa, J. D. (1994). “Stability of columns under uniform axial load with semirigid connections.” J. Struct. Eng., 3212–3222.
Aristizabal-Ochoa, J. D. (2000). “Second-order axial deflections of imperfect 3-D beam-column.” J. Eng. Mech., 1201–1208.
Aristizabal-Ochoa, J. D. (2001). “Nonlinear large deflection-small strain elastic analysis of beam-columns with semirigid connections.” J. Struct. Eng., 92–96.
Aristizabal-Ochoa, J. D. (2004). “Large deflection stability of slender beam-columns with semirigid connections: Elastica approach.” J. Eng. Mech., 274–282.
Aristizabal-Ochoa, J. D. (2005). “Static stability of beam-columns under combined conservative and nonconservative end forces: Effects of semirigid connections.” J. Eng. Mech., 473–484.
Aristizabal-Ochoa, J. D. (2010). “Second-order slope-deflection equations for imperfect beam–column structures with semi-rigid connections.” Eng. Struct., 32(8), 2440–2454.
Aristizabal-Ochoa, J. D. (2011). “Stability and non-linear second-order elastic analyses of beam and framed structures with semi-rigid connections using the cross method.” Int. J. Non-linear Mech., 46(1), 125–141.
Aristizabal-Ochoa, J. D. (2012). “Stability and second-order non-linear analysis of 2D multi-column systems with semirigid connections: Effects of initial imperfections.” Int. J. Non-linear Mech., 47(5), 537–560.
Aristizabal-Ochoa, J. D. (2013a). “Stability of imperfect slender columns with non-linear connections.” Int. J. Non-linear Mech., 54(September), 66–76.
Aristizabal-Ochoa, J. D. (2013b). “Stability of multi-column systems with initial imperfections and non-linear connections.” Int. J. Non-linear Mech., 57(December), 75–89.
Bradford, M. A., Luu, T. K., and Heidarpour, A. (2008). “Generic nonlinear modelling of a steel beam in a frame sub-assembly at elevated temperatures.” J. Constr. Steel Res., 64(7–8), 732–736.
Dwaikat, M., and Kodur, V. (2011). “Engineering approach for predicting fire response of restrained steel beams.” J. Eng. Mech., 447–461.
European Committee for Standardization (CEN). (1993). “Design of steel structures, part 1.2: Structural fire design.” Eurocode 3, Brussels, Belgium.
Gorenc, B., Tinyou, R., and Syam, A. (2012). Steel designers' handbook, 8th Ed., Australian Steel Institute, North Sydney, NSW, Australia.
Guoqiang, L., Peijun, W., and Shouchao, J. (2007). “Non-linear finite element analysis of axially restrained steel beams at elevated temperatures in a fire.” J. Constr. Steel Res., 63(9), 1175–1183.
Heidarpour, A., Abdullah, A. A., and Bradford, M. A. (2010). “Non-linear inelastic analysis of steel arches at elevated temperatures.” J. Constr. Steel Res., 66(4), 512–519.
Heidarpour, A., and Bradford, M. A. (2009). “Generic nonlinear modelling of restrained steel beams at elevated temperatures.” Eng. Struct., 31(11), 2787–2796.
Kassimali, A., and Garcilazo, J. J. (2010). “Geometrically nonlinear analysis of plane frames subjected to temperature changes.” J. Struct. Eng., 1342–1349.
Kodur, V. K. R., and Dwaikat, M. M. S. (2009). “Response of steel beam–columns exposed to fire.” Eng. Struct., 31(2), 369–379.
Lie, T. T., ed. (1992). Structural fire protection: Manual of practice, ASCE, New York.
Poh, K. W. (2001). “Stress-strain-temperature relationships for structural steel.” J. Mater. Civ. Eng., 13(5), 371–379.
Smith-Pardo, J. P., and Aristizabal-Ochoa, J. D. (1999). “Buckling reversals of axially restrained imperfect beam-column.” J. Eng. Mech., 401–409.
Smith-Pardo, J. P., and Aristizabal-Ochoa, J. D. (2008). “Second-order axial force and midspan deflection in a simple supported beam axially restrained.” Eng. Struct., 30(2), 561–569.
Takagi, J., and Deierlein, G. (2007). “Strength design criteria for steel members at elevated temperatures.” J. Constr. Steel Res., 63(8), 1036–1050.
Vega-Posada, C., Areiza-Hurtado, M., and Aristizabal-Ochoa, J. D. (2007). “Large-deflection stability of slender beam-columns with both ends partially restrained against rotation.” J. Eng. Mech., 1394–1400.
Vega-Posada, C., Areiza-Hurtado, M., and Aristizabal-Ochoa, J. D. (2011). “Large-deflection and post-buckling behavior of slender beam-columns with non-linear end-restraints.” Int. J. Non-linear Mech., 46(1), 79–95.
Yin, Y. Z., and Wang, Y. C. (2005a). “Analysis of catenary action in steel beams using a simplified hand calculation method, part 1: Theory and validation for uniform temperature distribution.” J. Constr. Steel Res., 61(2), 183–211.
Yin, Y. Z., and Wang, Y. C. (2005b). “Analysis of catenary action in steel beams using a simplified hand calculation method, part 2: Validation for uniform temperature distribution.” J. Constr. Steel Res., 61(2), 213–234.
Information & Authors
Information
Published In
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 8, 2013
Accepted: Sep 11, 2013
Published online: Sep 13, 2013
Published in print: Apr 1, 2014
Discussion open until: Jun 2, 2014
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.