Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Non-linear fire-resistance analysis of reinforced concrete beams

  • Bratina, Sebastjan (University of Ljubljana, Faculty of Civil and Geodetic Engineering) ;
  • Planinc, Igor (University of Ljubljana, Faculty of Civil and Geodetic Engineering) ;
  • Saje, Miran (University of Ljubljana, Faculty of Civil and Geodetic Engineering) ;
  • Turk, Goran (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
  • Received : 2003.02.24
  • Accepted : 2003.09.26
  • Published : 2003.12.25
⟨ Previous Next ⟩

Abstract

The non-linear structural analysis of reinforced concrete beams in fire consists of three separate steps: (i) The estimation of the rise of surrounding air temperature due to fire; (ii) the determination of the distribution of the temperature within the beam during fire; (iii) the evaluation of the mechanical response due to simultaneous time-dependent thermal and mechanical loads. Steps (ii) and (iii) are dealt with in the present paper. We present a two-step computational procedure where a 2D transient thermal analysis over the cross-sections of beams are made first, followed by mechanical analysis of the structure. Fundamental to the accuracy of the mechanical analysis is a new planar beam finite element. The effects of plasticity in concrete, and plasticity and viscous creep in steel are taken into consideration. The properties of concrete and steel along with the values of their thermal and mechanical parameters are taken according to the European standard ENV 1992-1-2 (1995). The comparison of our numerical and full-scale experimental results shows that the proposed mechanical and 2D thermal computational procedure is capable to describe the actual response of reinforced concrete beam structures to fire.

Keywords

References

  1. Abrams, M.S. (1977), "Performance of concrete structures exposed to fire", Portland Cement Association, Research and Development Bulletin.
  2. Abrams, M.S. (1979), "Behaviour of inorganic materials in fire", ASTM STP 685, Design of Buildings for Fire Safety.
  3. Armer, G.S.T. and O'Dell, T. (1996), "Fire, static, and dynamic tests of building structures", Proc. of 2nd Cardington Conf., E & FN Spon, London.
  4. ASTM E-119-76 (1976), "Standard methods of fire tests of building construction and materials", Annual Book of ASTM Standards, Parts 18, American Society for Testing and Materials.
  5. Budaiwi, I., El-Diasty, R. and Abdou, A. (1999), "Modelling of moisture and thermal transient behaviour of multilayer non-cavity walls", Building and Environment, 34, 537-551. https://doi.org/10.1016/S0360-1323(98)00041-9
  6. Dilger, W.H., Ghali, A., Chan, M., Cheung, M.S. and Maes, M.A. (1983), "Temperature stresses in composite box girder bridges", J. Struct. Eng., ASCE, 109(6), 1460-1478. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:6(1460)
  7. Ellingwood, B. and Lin, T.D. (1991), "Flexure and shear behaviour of concrete beams during fires", J. Struct. Eng., ASCE, 117(2), 440-458. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:2(440)
  8. Ellingwood, B. and Shaver, J.R. (1980), "Effects of fire on reinforced concrete members", J. Struct. Div., ASCE, 106(11), 2151-2166.
  9. Eurocode 2 (1995), "Design of concrete structures, Part 1-2: General rules-structural fire design", ENV 1992-1-2.
  10. Gustaferro, A.H., Abrams, M.S. and Salse, E.A.B. (1971), "Fire-resistance of prestressed concrete beams, study C: structural behaviour during fire tests", Portland Cement Association, Research and Development Bulletin.
  11. Harmathy, T.Z. (1970), "Thermal properties of concrete at elevated temperatures", J. Materials, 5(1), 47-74.
  12. Huang, Z. and Platten, A. (1997), "Nonlinear finite element analysis of planar reinforced concrete members subjected to fire", ACI Struct. J., 94(3), 272-282.
  13. ISO 834-1 (1999), "Fire-resistance tests - elements of building constructions - Part 1: General requirements".
  14. Lennon, T., Bullock, M.J. and Enjily, V. (2000), "The fire resistance of medium-rise timber frame buildings", Proc. of World Conf. on Timber Engineering, Whistler, BC, Canada, 4.5.4.
  15. Lie, T.T. and Irwin, R.J. (1993), "Method to calculate the fire resistance of reinforced concrete columns with rectangular cross section", ACI Struct. J., 90(1), 52-60.
  16. Lin, T.D., Ellingwood, B. and Piet, O. (1998), "Flexural and shear behaviour of reinforced concrete beams during fire tests", Portland Cement Association, Research and Development Bulletin, Report No. NBS-GCR-87-536, Centre for Fire Resarch, National Bureau of Standards, Washington.
  17. Lin, T.D., Gustaferro, A.H. and Abrams, M.S. (1981), "Fire endurance of continuous reinforced concrete beams", Portland Cement Association, Bulletin RD072.01B, Skokie.
  18. Mendes, P.A., Valente, J.C. and Branco, F.A. (2000), "Simulation of ship fire under Vasco da Gama Bridge", ACI Struct. J., 97(2), 285-290.
  19. Nechnech, W., Meftah, F. and Reynouard, J.M. (2002), "An elasto-plastic damage model for plain concrete subjected to high temperatures", Eng. Struct., 24, 597-611. https://doi.org/10.1016/S0141-0296(01)00125-0
  20. Ozisik, M.N. (1985), Heat Transfer, A Basic Approach, McGraw-Hill Book, Co.
  21. Planinc, I., Saje, M. and Cas, B. (2001), "On the local stability condition in the planar beam finite element", Struct. Eng. Mech., 12(5), 507-526. https://doi.org/10.12989/sem.2001.12.5.507
  22. Reissner, E. (1972), "On one-dimensional finite-strain beam theory: The plane problem", J. Applied Mathematics and Physics (ZAMP), 23, 795-804. https://doi.org/10.1007/BF01602645
  23. Saje, M. and Turk, G. (1987), "HEATC, Computer programme for nonlinear transient heat conduction problems", University of Ljubljana, Faculty of Civil and Geodetic Engineering, Ljubljana.
  24. Saje, M., Planinc, I., Turk, G. and Vratanar, B. (1997), "A kinematically exact finite element formulation of planar elastic-plastic frames", Comput. Methods Appl. Mech. Eng., 144, 125-151. https://doi.org/10.1016/S0045-7825(96)01172-3
  25. Sidibé, K., Duprat, F., Pinglot, M. and Bourret, B. (2000), "Fire safety of reinforced concrete columns", ACI Struct. J., 97(4), 642-647.
  26. Srpcic, S. (2000), "Viscous creep of steel structures in fire", J. Applied Mathematics and Mechanics (ZAMM), 80, Suppl. 2, S555-S556.
  27. Vasile, C., Lorente, S. and Perrin, B. (1998), "Study of convective phenomena inside cavities coupled with heat and mass transfer through porous media-application to vertical hollow bricks-a first approach", Energy and Buildings, 28, 229-235. https://doi.org/10.1016/S0378-7788(97)00058-3
  28. Williams-Leir, G. (1983), "Creep of structural steel in fire: Analytical expressions", Fire and Materials, 7(2), 73- 78. https://doi.org/10.1002/fam.810070205

Cited by

  1. Numerical modelling of behaviour of reinforced concrete columns in fire and comparison with Eurocode 2 vol.42, pp.21-22, 2005, https://doi.org/10.1016/j.ijsolstr.2005.03.015
  2. Nonlinear analysis of reinforced concrete cross-sections exposed to fire vol.42, pp.2, 2007, https://doi.org/10.1016/j.firesaf.2006.08.009
  3. The structural behavior and simplified thermal analysis of normal-strength and high-strength concrete beams under fire vol.33, pp.4, 2011, https://doi.org/10.1016/j.engstruct.2010.12.030
  4. Progressive Collapse Analysis of a Typical Super-Tall Reinforced Concrete Frame-Core Tube Building Exposed to Extreme Fires vol.53, pp.1, 2017, https://doi.org/10.1007/s10694-016-0566-6
  5. The effects of different strain contributions on the response of RC beams in fire vol.29, pp.3, 2007, https://doi.org/10.1016/j.engstruct.2006.05.008
  6. Finite element modeling of reinforced concrete beams exposed to fire vol.52, 2013, https://doi.org/10.1016/j.engstruct.2013.03.017
  7. Explicit modelling of large deflection behaviour of restrained reinforced concrete beams in fire vol.121, 2016, https://doi.org/10.1016/j.engstruct.2016.04.032
  8. Experiment and Analysis on the Mechanical Behaviour of PC Simply-Supported Slabs Subjected to Fire vol.11, pp.1, 2008, https://doi.org/10.1260/136943308784069513
  9. Fire analysis of steel frames with the use of artificial neural networks vol.63, pp.10, 2007, https://doi.org/10.1016/j.jcsr.2007.01.013
  10. Overview of Experimental Study and Theoretical Analysis of Concrete Beams after High Temperature vol.446-449, pp.1662-8985, 2012, https://doi.org/10.4028/www.scientific.net/AMR.446-449.2951
  11. Numerical Analysis of Coupled Heat and Mass Transfer Phenomena in Concrete at Elevated Temperatures vol.122, pp.2, 2018, https://doi.org/10.1007/s11242-018-1017-2
  12. Modeling of Reinforced Concrete Beams Exposed to Fire by Using a Spectral Approach vol.2018, pp.1687-8442, 2018, https://doi.org/10.1155/2018/6936371
  13. A Computational Model for Prestressed Concrete Hollow-Core Slab Under Natural Fire vol.13, pp.1, 2003, https://doi.org/10.1186/s40069-019-0373-9
  14. Finite Element Analysis and Calculation Method of Residual Flexural Capacity of Post-fire RC Beams vol.14, pp.1, 2020, https://doi.org/10.1186/s40069-020-00428-7
  15. Efficiency of insulation layers in fire protection of FRP-confined RC columns-numerical study vol.77, pp.5, 2003, https://doi.org/10.12989/sem.2021.77.5.673
  16. Numerical investigation on moment redistribution of continuous reinforced concrete beams under local fire conditions vol.24, pp.15, 2003, https://doi.org/10.1177/13694332211026226