Closed-Form Procedure for Predicting the Capacity and Demand of Steel Beam-Columns under Fire
Publication: Journal of Structural Engineering
Volume 137, Issue 9
Abstract
During a fire, columns on the perimeter of a building will be subject to moments induced by both a thermal gradient and the restraint of axial expansion by adjacent heated beams, which themselves develop axial load. These members thus act as beam-columns because they are then subject to a combination of axial load plus moment caused by a combination of gravity plus thermal loading. This paper presents a two-pronged procedure to predict the behavior of the perimeter column as a beam-column, considering both the individual member response (including thermal gradients) and the global response (including the interactions of adjacent members). All methods discussed in the paper are closed-form (i.e., they require no iteration) and can therefore be solved by using a spreadsheet or simple mathematical algorithm. The framework is sufficiently simple for use in codified structural-fire design and could be included in a reference of performance-based analysis methods for steel structures. Although this paper specifically addresses the performance of columns on the perimeter of buildings, the proposed framework can be a blueprint for the performance-based analysis of other beam-columns, such as floor beams.
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Acknowledgments
The research presented in this paper is based on work that is cosponsored by the National Science Foundation (NSF) (under Grant No. NSFCMMI-0652282) and the National Institute of Standards and Technology (NIST) (under Grant No. NIST60NANB7D6121). Dr. Quiel’s involvement with this research project began while on appointment as a U.S. Department of Homeland Security (DHS) Fellow under the DHS Scholarship and Fellowship Program, which is administered by the Oak Ridge Institute for Science and Education (ORISE) for DHS through an interagency agreement with the U.S. Department of Energy (DOE). ORISE is managed by Oak Ridge Associated Universities under DOE Contract No. DOEDE-AC05-00OR22750. Dr. Paya-Zaforteza has been involved with this research project while on appointment as a Postdoctoral Fellow under the Program for Postdoctoral Stays administered by the Spanish Ministry of Education (contract number UNSPECIFIEDEX-2008-0669). All opinions, findings, and conclusions expressed in this paper are the authors’ and do not necessarily reflect the policies and views of the NSF, NIST, DHS, DOE, ORISE or the Spanish Ministry of Education.
References
American Institute of Steel Construction (AISC). (2005). Steel construction manual, Chicago.
ASTM. (2008). “Standard test methods for fire tests of building construction and materials.” E119-08a, West Conshohocken, PA.
Buchanan, A. H. (2002). Structural design for fire safety, Wiley, Chichester, UK.
Dwaikat, M., and Kodur, V. (2010). “A simplified approach for evaluating plastic axial and moment capacity curves for beam-columns with non-uniform thermal gradients.” Eng. Struct., 32(5), 1423–1436.
Dwaikat, M. M. S., Kodur, V. K. R., Quiel, S. E., and Garlock, M. E. M. (2011). “Experimental behavior of steel beam-columns subjected to fire-induced thermal gradients.” J. Constr. Steel Res., 67(1), 30–38.
European Committee for Standardization (CEN). (2001). “Design of steel structures, Part 1.2: General rules—Structural fire design.” Eurocode 3, ENV 1993-1-2:2001, Brussels, Belgium.
European Committee for Standardization (CEN). (2002). “Actions on structures Part 1-2: General actions on structures exposed to fire.” Eurocode 1, EN 1991-1-2:2002, Brussels, Belgium.
European Committee for Standardization (CEN). (2004). “Design of steel structures, Part 1.5: Plated structural elements.” Eurocode 3, ENV 1993-1-5:2004, Brussels, Belgium.
Fletcher, I., Borg, A., Hitchen, N., and Welch, S. (2006). “Performance of concrete in fire: A review of the state of the art, with a case study of the Windsor Tower fire.” Proc., 4th Int. Workshop in Structures in Fire, Universidade de Aveiro, Aveiro, Portugal, 2, 779–790.
Franssen, J.-M. (2005). “SAFIR: A thermal/structural program for modeling structures under fire.” Eng. J., 42(3), 143–158.
Garlock, M., and Quiel, S. E. (2007a). “Behavior of steel perimeter columns in a high-rise building under fire.” Eng. J., 44(4), 359–372.
Garlock, M. E. M., and Quiel, S. E. (2007b). “Mechanics of wide-flanged steel sections that develop thermal gradients due to fire exposure.” Int. J. Steel Struct., 7(3), 153–162.
Garlock, M. E. M., and Quiel, S. E. (2008). “Plastic axial load—Moment interaction curves for fire-exposed steel sections with thermal gradients.” J. Struct. Eng., 134(6), 874–880.
International Code Council (ICC). (2000). The 2000 international building code (IBC 2000), Falls Church, VA.
Johann, M. A., Albano, L. D., Fitzgerald, R. W., and Meacham, B. J. (2006). “Performance-based structural fire safety.” J. Perform. Constr. Facil., 20(1), 45–53.
Knobloch, M., and Fontana, M. (2006). “Strain-based approach to local buckling of steel sections subjected to fire.” J. Constr. Steel Res., 62, 44–67.
Knobloch, M., Fontana, M., and Frangi, A. (2008). “Steel beam-columns subjected to fire.” Steel Constr., 1(1), 51–58.
Kodur, V., Garlock, M., and Iwankiw, N. (2007). “Structures in fire: State-of-the-art, research and training needs.” Rep. No. CEE-RR-2007/03, Michigan State Univ., East Lansing, MI.
Luecke, W. E., et al. (2005). “Federal building and fire safety investigation of the World Trade Center disaster: Mechanical properties of structural steel.” Technical Rep. NCSTAR 1–3D, National Institute of Standards and Technology, Gaithersburg, MD.
Magnusson, S. E., and Thelandersson, S. (1970). Temperature-time curves of complete process of fire development: Theoretical study of wood fuel fires in enclosed spaces, Civil Engineering and Building Construction Series 65, Acta Polytechnica Scandinavica, Stockholm, Sweden.
Milke, J. A. (1999). Analytical methods to evaluate fire resistance of structural members.” J. Struct. Eng., 125(10), 1179–1187.
National Institute of Standards and Technology (NIST). (2005). “Final report of the National Construction Safety Team on the collapses of the World Trade Center tower.” R. G. Gann, ed., NIST NCSTAR 1, Gaithersburg, MD.
Quiel, S. E. (2009). “Behavior and analysis of fire-exposed steel beam-columns that develop thermal gradients.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Princeton Univ., Princeton, NJ.
Quiel, S. E., and Garlock, M. E. M. (2008). “A closed-form analysis of perimeter member behavior in a steel building frame subject to fire.” Eng. Struct., 30(11), 3276–3284.
Quiel, S. E., and Garlock, M. E. M. (2010a). “Calculating the buckling strength of steel plates exposed to fire.” Thin-Walled Struct., 48, 684–695.
Quiel, S. E., and Garlock, M. E. M. (2010b). “Closed-form prediction of the thermal and structural response of a perimeter column in a fire.” Open Constr. Bldg. Tech. J., 4, 64–78.
Roberts, J. M., ed. (2002). Safety in tall buildings, Institution of Structural Engineers (IStructE), London.
Selamet, S., and Garlock, M. E. M. (2010). “Local buckling study of flanges and webs in I-shapes at elevated temperatures.” Proc., ASCE Structures Congress, ASCE, Reston, VA, 1592–1603.
Vila Real, P. M. M., Lopes, N., Simões da Silva, L., Piloto, P., and Franssen, J.-M. (2004). “Numerical modelling of steel beam-columns in case of fire—Comparisons with Eurocode 3.” Fire Saf. J., 39, 23–39.
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© 2011 American Society of Civil Engineers.
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Received: Sep 14, 2010
Accepted: May 23, 2011
Published online: May 25, 2011
Published in print: Sep 1, 2011
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