Computers and Concrete

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P-M interaction curve for reinforced concrete columns exposed to elevated temperature

  • Kang, Hyun (Department of Architectural Engineering, University of Seoul) ;
  • Cheon, Na-Rae (Metallic Materials and Mechanical Engineering Team, Korea Testing & Research Institute) ;
  • Lee, Deuck Hang (Department of Architectural Engineering, University of Seoul) ;
  • Lee, Jungmin (Department of Architectural Engineering, University of Seoul) ;
  • Kim, Kang Su (Department of Architectural Engineering, University of Seoul) ;
  • Kim, Heung-Youl (Fire Safety Research Division, Korea Institute of Construction Technology)
  • Received : 2017.01.10
  • Accepted : 2017.01.24
  • Published : 2017.05.25
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Abstract

The strength and deformational capacity of slender reinforced concrete (RC) columns greatly rely on their slenderness ratios, while an additional secondary moment (i.e., the $P-{\delta}$ effect) can be induced especially when the RC column members are exposed to fire. To evaluate the fire-resisting performances of RC columns, this study proposed an axial force-flexural moment (i.e., P-M) interaction curve model, which can reflect the fire-induced slenderness effects and the nonlinearity of building materials considering the level of stress and the magnitude of temperature. The P-M interaction model proposed in this study was verified in detail by comparing with the fire test results of RC column specimens reported in literature. The verification results showed that the proposed model can properly evaluate the fire-resisting performances of RC column members.

Keywords

Acknowledgement

Supported by : Ministry of Land, Infrastructure and Transport of Korean government

References

  1. ACI Committee 216 (2007), Code Requirements for Determining fire Resistance of Concrete and Masonry Construction Assemblies, Michigan, U.S.A.
  2. Anderberg, Y. (1978), "Analytical fire engineering design of reinforced concrete structures based on real fire characteristics", Proceedings of the 8th Congress of the Federation Internationale de la Precontrainte, London, U.K.
  3. Buchanan, A.H. (2002), Structural Design for Fire Safety, Wiley, London, U.K.
  4. Caldas, R.B., Sousa Jr, J.B.M. and Fakury, R.H. (2010), "Interaction diagrams for reinforced concrete sections subjected to fire", Eng. Struct., 32(9), 2382-2838.
  5. Chen, W.F. and Lui, E.M. (1987), Structural Stability, Elsevier, New York, U.S.A.
  6. Collins, M.P. and Mitchell, D. (1991), Prestressed Concrete Structures, Prentice Hill, New Jersey, U.S.A.
  7. El-Fitiany, S.F. and Youssef, M.A. (2009), "Assessing the flexural and axail behaviour of reinforced concrete members at elevated temperatures using sectional analysis", Fire Safety J., 44(5), 691-703. https://doi.org/10.1016/j.firesaf.2009.01.005
  8. El-Fitiany, S.F. and Youssef, M.A. (2014), "Interaction diagrams for fire-exposed reinforced concrete sections", Eng. Struct., 70, 246-259. https://doi.org/10.1016/j.engstruct.2014.03.029
  9. EN 1992-1-2 (2004), Eurocode 2: Design of Concrete Structures, Part 1-2: General Rules-Structural Fire Design, Brussels, Belgium.
  10. Han, S.J., Lee, D.H., Kim, K.S., Seo, S.Y., Moon, J.H. and Monteiro, P.J.M. (2014), "Degradation of flexural strength in reinforced concrete members caused by steel corrosion", Constr. Build. Mater., 54(1), 572-583. https://doi.org/10.1016/j.conbuildmat.2013.12.101
  11. Heo, I.W., Kang, H., Lee, D.H., Oh, J.Y., Lee, J.M. and Kim, K.S. (2016), "Performance-based fire behaviour analysis for underground parking structures", J. Urb. Sci., 20(S1), 90-100.
  12. ISO 834-1:1999(E) (1999), Fire-Resistance Tests-Elements of Building Construction-Part 1: General Requirements, Geneva, Switzerland.
  13. Ju, H., Lee, D.H., Cho, H.C., Kim, K.S., Yoon, S. and Seo, S.Y. (2014), "Application of hydrophilic silanol-based chemical grout for strengthening of damaged reinforced concrete flexural members", Mater., 7(6), 4823-4844. https://doi.org/10.3390/ma7064823
  14. Kang, H., Lee, D.H., Hwang, J.H., Oh, J.Y., Kim, K.S. and Kim, H.Y. (2016), "Structural performances of prestressed composite members with corrugated webs exposed to fire", Fire Technol., 52(6), 1957-1981. https://doi.org/10.1007/s10694-015-0521-y
  15. KCI-M-07 (2007), Design Specifications for Concrete Structures, Korea Concrete Institute, Seoul, Korea.
  16. Kim, K.S. and Lee, D.H. (2011), "Flexural behavior of prestressed composite beams with corrugated web: Part II. Experiments and verification", Compos. Part B: Eng., 42(6), 1617-1629. https://doi.org/10.1016/j.compositesb.2011.04.019
  17. Kim, K.S. and Lee, D.H. (2012), "Flexural behavior model for post-tensioned concrete members with unbonded tendons", Comput. Concrete, 10(3), 241-258. https://doi.org/10.12989/cac.2012.10.3.241
  18. Kim, K.S. and Lee, D.H. (2012), "Nonlinear analysis method for continuous post-tensioned concrete members with unbonded tendons", Eng. Struct., 40(1), 487-500. https://doi.org/10.1016/j.engstruct.2012.03.021
  19. Kim, K.S., Lee, D.H., Choi, S.M., Choi, Y.H. and Jung, S.H. (2011), "Flexural behavior of prestressed composite beams with corrugated web: Part I. Development and analysis", Compos. Part B: Eng., 42(6), 1603-1616. https://doi.org/10.1016/j.compositesb.2011.04.020
  20. Kodur, V. and Raut, N. (2012), "A simplified approach for predicting fire resistance of reinforced concrete columns under biaxial bending", Eng. Struct., 41, 428-443. https://doi.org/10.1016/j.engstruct.2012.03.054
  21. Kodur, V., Raut, N. and Mao, X. (2013), "Simplified approach for evaluating residual strength of fire-exposed reinforced concrete columns", Mater. Struct., 46(12), 2059-2075. https://doi.org/10.1617/s11527-013-0036-2
  22. Law, A. and Gillie, M. (2010), "Interaction diagrams for ambient and heated concrete sections", Eng. Struct., 32(6), 1641-1649. https://doi.org/10.1016/j.engstruct.2010.02.012
  23. Lee, D.H. and Kim, K.S. (2011), "Flexural strength of prestressed concrete members with unbonded tendons", Struct. Eng. Mech., 38(5), 675-696. https://doi.org/10.12989/sem.2011.38.5.675
  24. Lee, S.J., Lee, D.H., Kim, K.S., Oh, J.Y., Park, M.K. and Yang, I.S. (2013), "Seismic performances of RC columns reinforced with screw ribbed reinforcements connected by mechanical splice", Comput. Concrete, 12(2), 131-149. https://doi.org/10.12989/cac.2013.12.2.131
  25. Leite, L.L., Bonet, J.L., Pallares, L. and Miguel, P.F. (2014), "Cmfactor for RC slender columns under unequal eccentricities and skew angle loads at the ends", Eng. Struct., 71(15), 73-87. https://doi.org/10.1016/j.engstruct.2014.04.020
  26. 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.
  27. Lie, T.T. and Woolerton, J.L. (1988), "Fire resistance of reinforced concrete columns-test results", Internal Report No. 569, National Research Council Canada, Ottawa, Canada.
  28. MacGregor, J.G. and Wight, J.K. (2005), Reinforced Concrete: Mechanics and Design, Prentice-Hall.
  29. MacGregor, J.G., Breen, J. and Pfrtang, E.O. (1970), "Design of slender concrete columns", ACI J., 67(1), 6-28.
  30. Purkiss, J.A. (2007), Fire Safety Engineering Design of Structures, CRC Press, Oxford, U.K.
  31. Rankine, W.J.M. (1908), Useful Rules and Tables Relating to Mensuration, Engineering, Structures, and Machines, Griffin & Co.
  32. Raut, N. and Kodur, V. (2011), "Response of reinforced concrete columns under fire-induced biaxial bending", ACI Struct. J., 108(5), 610-619.
  33. Tan, K.H. and Tang, C.Y. (2004), "Interaction formula for reinforced concrete columns in fire conditions", ACI Struct. J., 101(1), 19-28.
  34. Tan, K.H. and Yao, Y. (2003), "Fire resistance of four-face heated reinforced concrete columns", J. Struct. Eng., 129(9), 1220-1229. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:9(1220)
  35. Tang, C.Y., Tan, K.H. and Ting, S.K. (2001), "Basic and application of a simple interaction formula for steel columns under fire conditions", J. Struct. Eng., 127(10), 1206-1213. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:10(1206)
  36. Wickstrom, U. (1986), "A very simple method for estimating temperatures in fire exposed structures", Technical Report SP RAPP 1986:46, Swedish National Testing Institute, 186-194.
  37. Yao, Y., Tan, K.H. and Tang, C.Y. (2008), "The effect of a shear bond in the rankine method for the fire resistance of RC columns", Eng. Struct., 30(12), 3595-3602. https://doi.org/10.1016/j.engstruct.2008.06.006
  38. Yeo, I.H. (2012), "A proposal for load ratio of reinforced concrete column subjected to standard fire", Ph.D. Dissertation, University of Seoul, Seoul, Korea.

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