A Practical Approach for Fire Resistance Design of Restrained High-Strength Q690 Steel Beam Considering Creep Effect


Most of the previous studies on restrained steel beam behaviour in fire conditions have neglected the creep effect due to the lack of applicable creep models. A finite element model (FEM) is determined in this study to investigate fire resistance and the behaviour of restrained high-strength (RHS) Q690 steel beams in fire considering the high-temperature Fields & Fields creep model. A comparison of the results obtained by the FEM with those from previous tests proved the validity of the FEM. A second FEM without a creep model is also established to study the influence of creep on the fire resistance of restrained steel beams. Results showed that creep has a serious effect on the behaviour of restrained steel beams in fire. Thus, ignoring creep will possibly lead to unsafe designs. Several parametric studies are carried out using the validated FEM with the aim to investigate the influencing factors on the fire response of RHS Q690 steel beams. Analysis shows that some of the investigated factors, such as heating rate, cross-section temperature distribution, rotational restraint stiffness and span-to-depth ratio, have been found crucial in the fire resistance of RHS Q690 steel beams. Furthermore, a simplified approach is presented for RHS Q690 steel beams based on the results of the FEM, including the creep effect, to calculate the moment capacity. This approach is also suitable for calculating the critical temperature of RHS Q690 steel beams.

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  1. 1.

    Burgess IW, El Rimawi J, Plank RJ (1991) Studies of the behaviour of steel beams in fire. J Constr Steel Res 19(4):285–312

    Article  Google Scholar 

  2. 2.

    Skowronski W (1988) A study of the steel beam deformation during fire. Build Environ 23(2):159–167

    Article  Google Scholar 

  3. 3.

    Yu HX, Liew JYR (2005) Considering catenary action in designing end-restrained steel beams in fire. Adv Struct Eng 8(3):309–324

    Article  Google Scholar 

  4. 4.

    El-Rimawi JA, Burgess IW, Plank RJ (1997) The influence of connection stiffness on the behaviour of steel beams in fire. J Constr Steel Res 43(1–3):1–15

    Article  Google Scholar 

  5. 5.

    Dwaikat M, Kodur V (2009) Effect of location of restraint on fire response of steel beams. Fire Technol 46(1):109–128

    Article  Google Scholar 

  6. 6.

    Dwaikat M, Kodur V (2011) Engineering approach for predicting fire response of restrained steel beams. J Eng Mech 137(7):447–461

    Article  Google Scholar 

  7. 7.

    Dwaikat MB, Kodur VKR (2009) Response of restrained concrete beams under design fire exposure. J Struct Eng 135(11):1408–1417

    Article  Google Scholar 

  8. 8.

    Li GQ, Guo SX (2008) Experiment on restrained steel beams subjected to heating and cooling. J Constr Steel Res 64(3):268–274

    MathSciNet  Article  Google Scholar 

  9. 9.

    Li GQ, Guo SX (2008) Analysis of restrained steel beams subjected to heating and cooling part I: Theory. Steel Compos Struct 8(1):1–18

    Article  Google Scholar 

  10. 10.

    Guo SX, Li GQ (2008) Analysis of restrained steel beams subjected to heating and cooling part II: Validation and parametric studies. Steel and Compos Struct 8(1):19–34

    Article  Google Scholar 

  11. 11.

    Liu TCH, Fahad MK, Davies JM (2002) Experimental investigation of behavior of axially restrained steel beams in fire. J Constr Steel Res 58(9):1211–1230

    Article  Google Scholar 

  12. 12.

    Pournaghshband A, Afshan S, Theofanous M (2019) Elevated temperature performance of restrained stainless steel beams. Struct 22:278–290

    Article  Google Scholar 

  13. 13.

    Laím L, Rodrigues JPC (2016) Experimental and numerical study on the fire response of cold-formed steel beams with elastically restrained thermal elongation. J Struct Fire Eng 7(4):388–402

    Article  Google Scholar 

  14. 14.

    Fu L, Xu G, Yan Y, Yang J, Xie J (2018) The application and research progress of high strength and high performance steel in building structure. IOP Conf Series Mater Sci Eng 392:022008

    Article  Google Scholar 

  15. 15.

    Luo YF, Wang XY, Qiang XH, Liu X (2015) Progress in application of high strength steel to engineering structures. J Tianjin Univ Sci Technol 48:134–141

    Google Scholar 

  16. 16.

    Wang W, Wang K, Kodur V, Wang B (2018) Mechanical properties of high-strength Q690 steel at elevated temperature. J Mater Civ Eng 30(5):04018062

    Article  Google Scholar 

  17. 17.

    Wang W, Zhang L, He P (2019) A numerical investigation on restrained high strength Q460 steel beams including creep effect. Int J Steel Struct 199:664–675

    Google Scholar 

  18. 18.

    Kodur VKR, Dwaikat MMS (2010) Effect of high temperature creep on the fire response of restrained steel beams. Mater Struct 43(10):1327–1341

    Article  Google Scholar 

  19. 19.

    Kodur VK, Aziz EM (2015) Effect of temperature on creep in ASTM A572 high-strength low-alloy steels. Mater Struct 48(6):1669–1677

    Article  Google Scholar 

  20. 20.

    Wang WY, Yan SH, Kodur VKR (2016) Temperature induced creep in low-alloy structural Q345 steel. J Mater Civ Eng 28(6):06016003

    Article  Google Scholar 

  21. 21.

    Holdsworth S (2010) Advances in assessment of creep data during the past 100 years. Trans Indian Inst Met 63(2–3):93–99

    Article  Google Scholar 

  22. 22.

    Smith W (1996) Principals of material science and engineering. McGraw Hill, NY

    Google Scholar 

  23. 23.

    Jiang J, Bao W, Peng ZY, Dai XH (2020) Creep property of TMCP high-strength steel Q690CFD at elevated temperatures. J Mater Civ Eng 32(2):04019364

    Article  Google Scholar 

  24. 24.

    Gales J, Robertson L, Bisby L (2016) Creep of prestressing steel in fire. Fire and Mater (John Wiley) 40(7):875–895

    Article  Google Scholar 

  25. 25.

    Li G-Q, Wang X-X, Zhang C, Cai W-Y (2020) Creep behavior and model of high-strength steels over 500 MPa at elevated temperatures. J Constr Steel Res 168:105989

    Article  Google Scholar 

  26. 26.

    Wang W, Yan S, Liu J (2017) Studies on temperature induced creep in high strength Q460 steel. Mater Struct 50:68

    Article  Google Scholar 

  27. 27.

    Poh KW (2001) Stress-strain-temperature relationship for structural steel. J Mater Civ Eng 13(5):371–379

    Article  Google Scholar 

  28. 28.

    Field BA, Field RJ (1989) Elevated temperature deformation of structural steel. National Institute of Standards and Technology. NISTIR 88–3899

  29. 29.

    Tan KH, Ting SK, Huang ZF (2002) Visco-elasto-plastic analysis of steel frames in fire. J Struct Eng 128(1):105–114

    Article  Google Scholar 

  30. 30.

    Harmathy TZ (1967) A comprehensive creep model. J Basic Eng 89(3):496

    Article  Google Scholar 

  31. 31.

    Abaqus (2018) Reference manual. Simulia, Dassault Systemes

  32. 32.

    Zhang Juan. (2019). Study on residual stress and load capacity of welded high strength Q690 steel column after fir e exposure. (master’s thesis). Chongqing University, Chongqing, China

  33. 33.

    Luecke WE, McColskey JD, McCowan CN et al (2005) Federal building and fire safety investigation of the World Trade Center disaster: Mechanical properties of structural steels. National Institute of Standards and Technology, Gaithersburg

    Google Scholar 

  34. 34.

    Dwaikat M (2010). Response of restrained steel beams subjected to fire induced thermal gradients. Ph.D. dissertation. East Lansing: Michigan State University

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The authors wish to acknowledge the supports of the Fundamental Research Funds for the Central Universities (Grant No.: 2019CDQYTM027) and Natural science foundation of China (Grant No.: 51678090). Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the sponsors.

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Correspondence to Weiyong Wang.

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Al-azzani, H., Yang, J., Sharhan, A. et al. A Practical Approach for Fire Resistance Design of Restrained High-Strength Q690 Steel Beam Considering Creep Effect. Fire Technol (2021). https://doi.org/10.1007/s10694-020-01078-7

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  • Creep
  • Creep model
  • Fire exposure
  • Restrained steel beams
  • Q690