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Shape-adaptive climate loading of tensile surface structures

  • *Corresponding author: Zbyněk Zajac

    *Corresponding author: Zbyněk Zajac 

web page: https://www.fce.vutbr.cz/en
web page: https://www.fem.cz/?lang=en

The authors are supported by Brno University of Technology project FAST-J-23-8326.

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  • This paper deals with the climate loading of tensile surface structures. The approaches for the snow load calculation were summarized and a new usage for tensile surface structures based on established procedures has been proposed. The snow load distribution and accumulation were presented in the form of an algorithm implemented in finite element software. The results of the algorithm for snow load accumulation were verified on simple examples with vertical, inclined, and curved surfaces.

    Mathematics Subject Classification: 45G15, 65D30, 65K05.

    Citation:

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  • Figure 1.  Cylinder loaded with snow. A) Corresponding local loads for verification $ \mathrm{(kNm^{-2})} $, B) Load $ \mathrm{(kNm^{-2})} $ calculated and applied by Algorithm 1, C) Height of snow $ (\mathrm{m}) $

    Figure 2.  Truncated cone loaded with snow. A) Corresponding local load for verification $ \mathrm{(kNm^{-2})} $, B) Load $ \mathrm{(kNm^{-2})} $ calculated and applied by Algorithm 1, C) Height of snow $ (\mathrm{m}) $

    Figure 3.  Internal axial forces $ n_x $$ \mathrm{(kNm^{-1})} $ of loaded funnel A) by projected load in global $ Z $, B) by Algorithm 1, C) Height of accumulated snow $ (\mathrm{m}) $

    Figure 4.  Forces' direction orientation of loaded funnel A) by projected load in global $ Z $, B) by Algorithm 1

  • [1] T. Eidevag, E. S. Thomson, D. Kallin, J. Casselgren and A. Rasmuson, Angle of repose of snow: An experimental study on cohesive properties, Cold Regions Science and Technology, 194 (2022). doi: 10.1016/j.coldregions.2021.103470.
    [2] B. Forster and M. Mollaert, European Design Guide for Tensile Surface Structures, Brussels, 2004. ISBN 90–8086–871–X.
    [3] K. Gerlic, Design elements for snow-load resistant membrane roofs, Beyond the Limits of Man, (2013), 1-6. ISSN 2518-6582.
    [4] R. Lang, Algorithms for Design and Analysis of Membrane Structures, Ph.D thesis, Brno University of Technology in Brno, 2019.
    [5] M. O'RourkeSnow Loads: Guide to the Snow Load Provisions of ASCE 7-10, ASCE Press, 2010.  doi: 10.1061/9780784411117.
    [6] B. SovillaI. SonatoreY. Bühler and S. Margreth, Wet-snow avalanche interaction with a deflecting dam: Field observations and numerical simulations in a case study, Natural Hazards and Earth System Sciences, 12 (2012), 1407-1423.  doi: 10.5194/nhess-12-1407-2012.
    [7] K. Terzaghi, Theoretical Soil Mechanics, John Wiley and Sons, Inc., New York, 1943. ISBN 9780470172766. doi: 10.1002/9780470172766.
    [8] G. Vallero, M. Barbero, F. Barpi, M. Borri-Brunetto, V. De Biagi, Y. Ito and S. Yamaguchi, Experimental study of the shear strength of a snow-mortar interface, Cold Regions Science and Technology, 193 (2022). doi: 10.1016/j.coldregions.2021.103430.
    [9] F. Weller, Common problems in the design and construction of membrane structures, 8th International Conference on Textile Composites and Inflatable Structures - Structural Membranes 2017, (2018), 147-177.
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