Thermal Behavior of Hollow and Solid Steel Beams with Different Boundary Conditions

  • Harbi A. Daud Middle Technical University
  • Sultan A. Daud Al-Nahrain University
  • Adel A. Al-Azzawi Al-Nahrain University

Abstract

The thermal behavior of hollow steel structural members due to the temperature increase has not been investigated and discussed in many design codes. This work presents a study of the hollow and solid steel beams’ carrying capacity under elevated temperatures. The material properties of such beams decline under the temperature expected to increase the moments on the beams. The finite difference technique is selected first to analyze the problem. The solved problems cover beams under concentrated point load levels with different end conditions such as cantilever, pin roller, and both ends fixed. The beam response (deflection, bending moment, and normal force) is examined. The finite element analysis was conducted using the DIANA FEA software to study the same problem incorporating material and geometric nonlinearities. It was found that both finite difference and finite element analysis solved the problem accurately when the temperature was under 500°C. It was also found that when the temperature was applied to the beam bottom face the deflection was smaller than when the temperature was applied to the side faces only and the whole section.

Keywords

hollow beams, finite difference analysis, finite element analysis, thermal loading, boundary condition,

References

1. V.P. e Silva, R.H. Fakury, Brazilian standards for steel structures fire design, Fire Safety Journal, 37(2): 217–227, 2002, doi: 10.1016/S0379-7112(01)00044-3.
2. Eurocode – Basis of structural design (EN 1990:2002+A1), European Committee for Standardization, Brussels, 2005.
3. A.S. Usmani, J.M. Rotter, S. Lamont, A.M. Sanad, M. Gillie, Fundamental principles of structural behavior under thermal effects, Fire Safety Journal, 36(8): 721–744, 2001, doi: 10.1016/S0379-7112(01)00037-6.
4. Y.C. Wang, Steel and Composite Structures Behavior and Design For Fire Safety, Spon Press, London, New York, 2002.
5. H. dos R. Mourão, V.P. e Silva, On the behavior of single-span steel beams under uniform heating, Journal of The Brazilian Society of Mechanical Sciences and Engineering, 29(1): 115–122, 2007, doi: 10.1590/S1678-58782007000100015.
6. C. Crosti, Structural analysis of steel structures under fire loading, Acta Polytechnica, 49(1): 21–28, 2009, doi: 10.14311/1083.
7. M. Dwaikat, V. Kodur, Engineering approach for predicting fire response of restrained steel beams, Journal of Engineering Mechanics, 137(7): 447–461, 2011, doi: 10.1061/(ASCE)EM.1943-7889.0000244.
8. H.K. Patade, M. A. Chakrabarti, Thermal stress analysis of beam subjected too fire, International Journal of Engineering Research and Applications (IJERA), 3(5): 420–424, 2013.
9. M. Kucz, K. Rzeszut, Ł. Polus, M. Malendowski, Influence of boundary conditions on the thermal response of selected steel members, Procedia Engineering, 57: 977–985, 2013, doi: 10.1016/j.proeng.2013.04.124.
10. B.V. Patil, M.S. Ramgir, Study of structural steel members under thermal loading, International Journal of Science, Engineering and Technology Research (IJSETR), 5(8), 2016.
11. L. Lausova, I. Skotnicova, V. Michalcova, Thermal transient analysis of steel hollow sections exposed to fire, Perspectives in Science, 7: 247–252, 2016, doi: 10.1016/j.pisc.2015.11.040.
12. M. Neuenschwander, M. Knobloch M. Fontana, Elevated temperature mechanical properties of solid section structural steel, Construction and Building Materials, 149: 186–201, 2017, doi: 10.1016/j.conbuildmat.2017.05.124.
13. M. Łukomski, P. Turkowski, P. Roszkowski, B. Papis, Fire resistance of unprotected steel beams – comparison between fire tests and calculation models, Procedia Engineering, 172: 665–672, 2017, doi: 10.1016/j.proeng.2017.02.078.
14. Eurocode 1: Actions on structures Part 1-2: General actions – Actions on structures exposed to fire (EN 1991-1-2), European Committee for Standardization, Brussels, 2002.
15. Eurocode 3: Design of steel structures-Structural fire design, prEN 1993-1-2, European Committee for Standardization, Brussels, 2003.
16. B. Wong, Temperature analysis of partially heated steel members in fire, Journal of Constructional Steel Research, 128: 1–6, 2017, doi: 10.1016/j.jcsr.2016.08.008.
17. C. Chinwuba Ike, Timoshenko beam theory for the flexural analysis of moderately thick beams – variational formulation, and closed form solution, TECNICA ITALIANA-Italian Journal of Engineering Science, 63(1): 34–45, 2019, doi: 10.18280/ti-ijes.630105.
18. M. Attaa, A.A. Abd-Elhady, A. Abu-Sinna, H.E.M. Sallam, Prediction of failure stages for double lap joints using finite element analysis and artificial neural networks, Engineering Failure Analysis, 97: 242–257, 2019, doi: 10.1016/j.engfailanal.2019.01.042.
19. S.A. Daud, R.A. Daud, A.A. Al-Azzawi, Behavior of reinforced concrete solid and hollow beams that have additional reinforcement in the constant moment zone, Ain Shams Engineering Journal, 12(1): 31–36, 2021, doi: 10.1016/j.asej.2020.07.017.
Published
Oct 7, 2021
How to Cite
DAUD, Harbi A.; DAUD, Sultan A.; AL-AZZAWI, Adel A.. Thermal Behavior of Hollow and Solid Steel Beams with Different Boundary Conditions. Computer Assisted Methods in Engineering and Science, [S.l.], v. 28, n. 3, p. 171–191, oct. 2021. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/326>. Date accessed: 13 nov. 2024. doi: http://dx.doi.org/10.24423/cames.326.
Section
Articles