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Reliability of Steel Truss Roof Systems Under Variable Snow Load Profiles

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Abstract

The probabilistic safety analysis of steel truss roof systems under variable snow load profiles is investigated. The roofs of structures such as industrial buildings or sports halls, which require wide areas, are frequently subjected to unexpectedly high loads. Therefore, compared to the residential buildings, that type of buildings often comes across failure or prohibition of usage. Probabilistic techniques are utilized for the analysis of the problem. Thirty-six steel roof structures with different structural dimensions and load variations are modelled and their failure probabilities are calculated. In this paper, a complicated stochastic analysis is reduced to the solution of a load–resistance (S–R) problem by utilizing sensitivity analyses. Firstly, the structures were designed through structural analyses, and then the sensitivity analyses were conducted to understand the response of the structure to the load and to the span-length parameters. In this paper, a reliability study which gradually monitors the effect of geometrical parameters on the failure trend is presented. Three different snow load distribution functions were used. The relation between failure, and load or structural dimension variations was investigated. The results obtained in this study are discussed and compared with the results from the literature for similar structures subjected to snow loads. It is observed that for the snow load distributions with high standard deviations the structural reliability indices may give results below the target safety levels of the design codes. Finally, the assessment of the results shows that the effect of the standard deviation of the snow load on failure probability is much more than the effect of intensity of the nominal snow load.

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References

  • Bennett, R. M. (1988). Snow load factors for LRFD. Journal of Structural Engineering,114(10), 2371–2383.

    Article  Google Scholar 

  • Biegus, A., & Rykaluk, K. (2009). Collapse of Katowice fair building. Engineering Failure Analysis,16(5), 1643–1654.

    Article  Google Scholar 

  • Blanchet, J., & Lehning, M. (1989). Mapping snow depth return levels: Smooth spatial modeling versus station interpolation. Hydrology and Earth System Sciences,14(12), 2527–2544.

    Article  Google Scholar 

  • Ceribasi, S. (2017). Probabilistic computation of the structural performance of moment resisting steel frames. Steel and Composite Structures,24, 369–382.

    Google Scholar 

  • Cheng, J., & Jin, H. (2017). Reliability-based optimization of steel truss arch bridges. International Journal of Steel Structures,17(4), 1415–1425.

    Article  Google Scholar 

  • DeBock, D. J., Liel, A. B., Harris, J. R., Ellingwood, B. R., & Torrents, J. M. (2017). Reliability-based design snow loads. I: Site-specific probability models for ground snow loads. Journal of Structural Engineering,143(7), 04017046.

    Article  Google Scholar 

  • Durmaz, M., & Daloglu, A. T. (2006). Frequency analysis of ground snow data and production of the snow load map using geographic information system for the Eastern Black Sea region of Turkey. Journal of Structural Engineering,132(7), 1166–1177.

    Article  Google Scholar 

  • Ellingwood, B. (1989). Serviceability guidelines for steel structures. Engineering Journal AISC,26, 1–8.

    Google Scholar 

  • Ellingwood, B., Galambos, T. V., MacGregor, J. G., & Cornell, C. A. (1980). Development of probability based load criterion for American National Standard A58. NBS Special Publication 577. Washington, DC: National Bureau of Standards, United States Department of Commerce.

    Google Scholar 

  • Eurocode 1-3. (2003). EN 1991-1-3: Actions on structures, Part 1–3: General actions—Snow loads, CEN. New York: Wiley.

    Google Scholar 

  • Eurocode 3. (2005). EN 1993-1-1: Design of steel structures, Part 1–1: General rules and rules for buildings, CEN. New York: Wiley.

    Google Scholar 

  • Haldar, A., & Mahadevan, S. (2000). Probability, reliability and statistical methods in engineering design. New York: John Wiley and Sons.

    Google Scholar 

  • Holicky, M. (2007). Safety design of lightweight roofs exposed to snow load. WIT Transactions on Engineering Sciences,58, 51–57.

    Article  Google Scholar 

  • Johansson, C. J., Lidgren, C., Nilsson, C., & Crocetti, R. (2011). Takras vintrarna 2009/2010 och 2010/2011—orsaker och förslag till åtgärd. Borås Sp Rapport,2011, 32.

    Google Scholar 

  • Kasperski, M. (2014). Discussion of “Exceptional snowfalls and the assessment of accidental snow loads for structural design” by Sadovsky et al. [Cold Regions Science and Technology 72 (2012) 17–22]. Cold Regions Science and Technology,101, 83–86.

    Article  Google Scholar 

  • Klasson, A., Björnsson, I., Crocetti, R., & Hansson, E. F. (2018). Slender roof structures—Failure reviews and a qualitative survey of experienced structural engineers. Structures,15, 174–183.

    Article  Google Scholar 

  • Kozak, D. L., & Liel, A. B. (2015). Reliability of steel roof structures under snow loads. Structural Safety,54, 46–56.

    Article  Google Scholar 

  • Liel, A. B., DeBock, D. J., Harris, J. R., Ellingwood, B. R., & Torrents, J. M. (2017). Reliability-based design snow loads. II: Reliability assessment and mapping procedures. Journal of Structural Engineering,143(7), 04017047.

    Article  Google Scholar 

  • Markova, J., Holicky, M., Jung, K., & Sykora, M. (2017). Basis for reliability assessment of industrial heritage buildings a case study of a nineteenth century factory. International Journal of Heritage Architecture,1(4), 580–592.

    Google Scholar 

  • Melchers, R. E. (2002). Structural reliability analysis and prediction (2nd ed.). Chichester: Wiley.

    Google Scholar 

  • Ministry of Environment and Urbanization. (2016). Turkish code for design and construction of steel structures. Ankara: Ministry of Environment and Urbanization.

    Google Scholar 

  • Newark, M. J., Welsh, L. E., Morris, R. J., & Dnes, W. V. (1989). Revised ground snow loads for the 1990 national building code of Canada. Canadian Journal of Civil Engineering,16(3), 267–278.

    Article  Google Scholar 

  • O’Rourke, M. J., & Stiefel, U. (1983). Roof snow loads for structural design. Journal of Structural Engineering,109(7), 1527–1537.

    Article  Google Scholar 

  • Pirizadeh, M., & Shakib, H. (2018). On a reliability-based method to improve the seismic performance of midrise steel moment resisting frame setback buildings. International Journal of Steel Structures. https://doi.org/10.1007/s13296-018-0086-y.

    Article  Google Scholar 

  • Quiang, S., Zhou, X., & Gu, M. (2018). Research on reliability of steel roof structures subjected to snow loads at representative sites in China. Cold Regions Science and Technology,150, 62–69.

    Article  Google Scholar 

  • Sadovsky, Z., Fasko, P., Mikulova, K., & Pecho, J. (2012). Exceptional snowfalls and the assessment of accidental snow loads for structural design. Cold Regions Science and Technology,72, 17–22.

    Article  Google Scholar 

  • Sadovsky, Z., & Pales, D. (2008). Probabilistic optimization of partial safety factors for the design of industrial buildings. International Journal of Reliability, Quality and Safety Engineering,15, 411–424.

    Article  Google Scholar 

  • SAP2000 V16.0.0. (2016). Static and dynamic finite element analysis of structures. Berkeley, CA: Computers and Structures Inc.

    Google Scholar 

  • Sun, X., He, R., & Wu, Y. (2018). Numerical simulation of snowdrift on a membrane roof and the mechanical performance under snow loads. Cold Regions Science and Technology,150, 15–24.

    Article  Google Scholar 

  • Takahashi, T., & Ellingwood, B. R. (2005). Reliability-based assessment of roofs in Japan subjected to extreme snows: Incorporation of site-specific data. Engineering Structures,27, 89–95.

    Article  Google Scholar 

  • Tanzer, A. (2011). High school gymnasium roof truss support collapse. Journal of Failure Analysis and Prevention,11(3), 208–214.

    Article  Google Scholar 

  • Thom, H. (1966). Distribution of maximum annual water equivalent of snow on the ground. Monthly Weather Review,4, 265–271.

    Article  Google Scholar 

  • Thomas, J. C., Schoefs, C. C., & Rocher, B. (2018). Reliability of inflatable structures: Challenge and first results. European Journal of Environmental and Civil Engineering. https://doi.org/10.1080/19648189.2018.1474807.

    Article  Google Scholar 

  • Tobiasson, W., & Redfield, R. (1983). Snow loads for the United States. Hanover: Army Cold Regions Research and Engineering Laboratory Report.

    Google Scholar 

  • Trahair, N. S., Bradford, M. A., Nethercot, D. A., & Gardner, L. (2008). The behaviour and design of steel structures to EC3. London: Taylor and Francis.

    Google Scholar 

  • Wolfram Mathematica 9. (2016). Wolfram Research Inc. http://www.wolfram.com. Accessed 27 Dec 2018.

  • Yang, B., Shang, Y., Wu, M., Yu, Z., & Qu, X. (2019). Statistical characteristics of naturally aged PVDF-coated fabrics’ mechanical properties and structural reliability index. Polymer Testing. https://doi.org/10.1016/j.polymertesting.2019.106143.

    Article  Google Scholar 

  • Zhu, X., & Liu, B. (2018). The reliability-based evaluation of casing collapsing strength and its application in marine gas reservoirs. Engineering Failure Analysis,85, 1–13.

    Article  Google Scholar 

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Correspondence to Seyit Çeribaşı.

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Çeribaşı, S. Reliability of Steel Truss Roof Systems Under Variable Snow Load Profiles. Int J Steel Struct 20, 567–582 (2020). https://doi.org/10.1007/s13296-020-00307-7

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