Vol. 3, No. 3, pp. 652-667(2007)
FE SIMULATION OF SPACE STEEL FRAMES IN FIRE WITH WARPING EFFECT
Zhan-Fei Huang 1,* and Kang-Hai Tan 2
1Research Fellow, School of Civil and Environmental Engineering, College of Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
2Assoc. Professor, School of Civil and Environmental Engineering, College of Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
* (Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. )
Received: 8 January 2007; Revised: 19 March 2007; Accepted: 28 March 2007
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ABSTRACT
Most structural fire resistance analyses are confined to 2-D frames. To gain a more in-depth understanding of the response of a steel frame at elevated temperatures, 3-D simulations are necessary. This paper outlines the formulation of a two-noded 3-D beam-column to study the response of a steel frame in fire. The program is capable of small-strain large deformation analysis. Warping effect, a significant phenomenon in thin-walled members, is considered in the formulation. Degradation of steel mechanical properties at elevated temperatures is also considered, while thermal gradient is considered by slicing a cross-section into discrete segments. Creep can be either implicitly or explicitly taken into account. Several widely-used beam-to-column connections are approximated as zero-length semi-rigid springs. Their nonlinear moment-rotation relationships at elevated temperature are incorporated into the program. Unloading of both material stress-strain curve and moment-rotation characteristics of a connection are accounted for. The Newton-Raphson method is employed for nonlinear solving procedure. At the latter part of this paper, the program is verified against benchmark tests. All of them demonstrate the accuracy and reliability of the program.
KEYWORDS
Finite element analysis, 3-D beam element, warping, fire, steel frame, creep
REFERENCES
[1] Huang, Z.F. and Tan, K.H., “Fire Resistance of Compartments within a High-rise Steel Frames: New Sub-frame and Isolated Member Models”, J Construct. Steel Res., 2006, Vol. 62, No. 10, pp. 974-986.
[2] Zeng, J.L., Tan, K.H. and Huang, Z.F., “Primary Creep Buckling of Steel Columns in Fire”, J. Constuct. Steel Res., 2003, Vol. 59, No. 8, pp. 951-970.
[3] Huang, Z.F. and Tan, K.H., “Analytical Fire Resistance of Axially Restrained Steel Columns”, J. Struct. Engng. ASCE, 2003a, Vol. 129, No. 11, pp. 1531-1537.
[4] Huang, Z.F. and Tan, K.H., “Rankine Approach for Fire Resistance of Axially-and-flexurally Restrained Steel Columns”, J. Construct. Steel Res., 2003b, Vol. 59, No. 12, pp. 1553-1571.
[5] Wang, Y.C., Lennon, T. and Moore, D.B., “The Behaviour of Steel Frames Subjected to Fire”, J. Construct. Steel Res., 1995, Vol. 35, pp. 291-322.
[6] Najjar, S.R. and Burgess, I.W., “A Nonlinear Analysis for Three-dimensional Steel Frames in Fire Conditions”, Engng Struct., 1996, Vol. 18, No. 1, pp. 77-89.
[7] Song, L., Izzuddin, B.A., Elnashai, A.S. and Dowling, P.J., “An Integrated Adaptive Environment for Fire and Explosion Analysis of Steel Frames – Part I: Analytical Models”, J. Construct. Steel Res., 2000, Vol. 53, pp. 63-85.
[8] Bailey, C.G., “Development of Computer Software to Simulate the Structural Behaviour of Steel-framed Buildings in Fire”, Comput & Struct., 1998, Vol. 67, pp. 421-438.
[9] Iu, C.K. and Chan, S.L., “A Simulation-based Large Deflection and Inelastic Analysis of Steel Frames Under Fire”, J. Construct. Steel Res., 2004, Vol. 60, pp. 1495-1524.
[10] Iu, C.K., Chan, S.L. and Xiao, X.Z., “Nonlinear Pre-fire and Post-fire Analysis of Steel Frames”, Engng Struct., 2005, Vol. 27, pp. 1689-1702.
[11] Ma, K.Y. and Liew, J.Y.R., “Nonlinear Plastic Hinge Analysis of Three-dimensional Steel Frames in Fire”, J. Struct. Engng., ASCE, 2004, Vol. 130, No. 7, pp. 981-990.
[12] Bathe, K.J., “Finite Element Procedures”, Prentice Hall, Inc., 1996.
[13] Kohnke, P., “ANSYS User’s Manual for Revision 5.0, Vol. IV, Theory”, Swanson Analysis Systems, Inc., Houston, USA, 1992.
[14] Commission of European Communities(CEC), “Design of Steel Structures: Part 1.2: General Rules − Structural Fire Design (EC3 Pt.1.2”, Eurocode 3, Brussels, Belgium, 1995.
[15] Harmathy, T.Z., “Creep Deflection of Metal Beams in Transient Heating Processes, with Particular Reference to Fire”, Can. J. Civ. Eng., 1976, Vol. 3, No. 2, pp. 219-228.
[16] Furumura, F. and Shimohara, Y., “Inelastic Behavior of Protected Steel Beams and Frames in Fire”, Report of the Research Laboratory of Engineering Materials, 1978, No.3, pp. 1-14, Tokyo Institute of Technology, Japan.
[17] Cheng, W.C., “Theory and Application on the Behaviour of Steel Structures at Elevated Temperatures”, Comput & Struct., 1983, Vol. 16, No. 1-4, pp. 27-35.
[18] Tan, K.H., Ting, S.K. and Huang, Z.F., “Visco-Elasto-Plastic Analysis of Steel Frames in Fire”, J. Struct. Engng, ASCE, 2002, Vol. 128, No. 1, pp. 105-114.
[19] Huang, Z.F,, Tan, K.H. and Ting, S.K., “Heating Rate and Boundary Restraint Effects on Fire Resistance of Steel Columns with Creep”, Engng Struct., 2006, Vol. 28, No. 6, pp. 805-817.
[20] Harmathy, T.Z., “A Comprehensive Creep Model”, J. Basic Engng Trans., ASME, 1967, Vol. 89, pp. 469-502.
[21] Dorn, J.E., “Some Fundamental Experiments on High Temperature Creep”, J. Mech. & Phys Solids, 1954, Vol. 3, pp. 85-116.
[22] Levy, A., “High-Temperature Inelastic Analysis”, Comput & Struct., 1984, Vol. 13, pp. 249-256.
[23] El-Rimawi, J.A., Burgess, I.W. and Plank, R.J., “The Influence of Connection Stiffness on the Behaviour of Steel Beams in Fire”, J. Construct. Steel Res., 1997, Vol. 43, No. 1-3, pp. 1-15.
[24] El-Rimawi, J.A., Burgess, I.W. and Plank, R.J., “The Treatment of Strain Reversal in Structural Members During the Cooling Phase of a Fire”, J. Construct. Steel Res., 1996, Vol. 37, No. 2, pp. 115-135.
[25] ABAQUS, “Standard Verification Manual, Version 5.5”, Hibbitt, Karlsson & Sorensen, Inc., 1995.
[26] Najjar, S.R., Three-Dimensional Analysis of Steel Frames and Subframes in Fire, Ph.D. thesis, Sheffield University, U.K, 1994.
[27] Franssen, J.M., “The Unloading of Building Materials Submitted to Fire”, Fire Saf. J., 1990, Vol. 16, pp. 213-227.
[28] Morino, S. and Lu, L.W., “Analysis of Space Frames”, Fritz Engineering Laboratory, Report No. 331.13., 1971.
[29] BSI, “Code of Practice for Fire Resistant Design: Structural Use of steelwork in Building, Part 8, BS5950”, London, UK, 1990.
[30] EI-Rimawi, J.A., Burgess, I.W. and Plank, R.J., “The Influence of Connection Stiffness on the Behaviour of Steel Beams in Fire”, J. Construct. Steel Res., 1997, Vol. 43, No. 1-3, pp. 1-15.
[31] Franssen, J.M., Cooke, G.M.E. and Latham, D.J., “Numerical Simulation of a Full Scale Fire Test on a Loaded Steel Framework”, J. Construct. Steel Res., 1995, Vol. 35, pp. 377-408.