R-Funicularity of shells and effective eccentricity: Influence of tensile strength

R-Funicularity of shells and effective eccentricity: Influence of tensile strength

Gloria Rita Argento, Stefano Gabriele, Valerio Varano

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Abstract. The concept of Relaxed Funicularity (R-Funicularity) has been introduced in [2] to deal with the difficulties of designing a shell with a funicular behavior. The R-Funicularity has been defined by using a parameter called generalized eccentricity: a shell is said to be R Funicular if the generalized eccentricity belongs to an admissibility domain defined in terms of membrane forces N and bending moments M. Here we define an N-M admissibility domain that includes the shell tensile limit force N_t, not previously taken into account. The proposed domain is well described by a new parameter, the effective eccentricity, and is used to control the tensile stresses occurring on shells designed to be R-Funicular and to work under compression.

R-Funicularity, Generalized Eccentricity, Effective Eccentricity, Tensile Strength

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Gloria Rita Argento, Stefano Gabriele, Valerio Varano, R-Funicularity of shells and effective eccentricity: Influence of tensile strength, Materials Research Proceedings, Vol. 26, pp 127-132, 2023

DOI: https://doi.org/10.21741/9781644902431-21

The article was published as article 21 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] S. Adriaenssens, P. Block, D. Veenendaal, C. Williams, Shell structures for architecture: form finding and optimization, New York: Routledge, 2014. https://doi.org/10.4324/9781315849270
[2] S. Gabriele, V. Varano, G. Tomasello, D. Alfonsi, R-Funicularity of form found shell structures, Eng. Struct. 157 (2018) 157-169. https://doi.org/10.1016/j.engstruct.2017.12.014
[3] G. Tomasello, S. Adriaenssens, S. Gabriele, Dynamic behavior of form-found shell structures according to Modal and Dynamic Funicularity, Eng. Struct. 198 (2019) 109521. https://doi.org/10.1016/j.engstruct.2019.109521
[4] G. S. Ramaswamy, Design and construction of a new shell of double curvature, in: Proceedings of the Symposium on Shell Research, Delft, 1961, North Holland Publishing Co. Amsterdam, pp. 102-115.
[5] S. Gabriele, F. Marmo, V. Varano, About the funicularity of Velaroidal Shells, in: C. Lázaro, K.-U. Bletzinger, E. Oñate (Eds.), Proceedings of the IASS Annual Symposium 2019 – Structural Membranes 2019, Form and Force, Barcellona, Spain, 7-10 October 2019, 2019, pp. 45-52.
[6] F. Marmo , S. Gabriele, V. Varano, S. Adriaenssens, R-Funicularity of Analytical Shells, in: A. Carcaterra, A. Paolone, G. Graziani (Eds), Proceedings of XXIV AIMETA Conference 2019, Lecture Notes in Mechanical Engineering, Springer, 2020, pp. 947-957. https://doi.org/10.1007/978-3-030-41057-5_77
[7] M.L. Regalo, S. Gabriele, G. Salerno, V. Varano, Numerical methods for post-formed timber gridshells: Simulation of the forming process and assessment of R-Funicularity, Eng. Struct. 206 (2020) 110119. https://doi.org/10.1016/j.engstruct.2019.110119
[8] G.R. Argento, F. Marmo, V. Varano, S. Gabriele, Shells’ shape optimization based on R-Funicularity, in: S. A. Behnejad, G. A. R. Parke, O. A. Samavati (Eds.), Inspiring the Next Generation – Proceedings of the International Conference on Spatial Structures 2020/21 (IASS2020/21-Surrey7), Guildford, UK, 23-27 August 2021, 2021, pp. 2548-2556.
[9] G. R. Argento, S. Gabriele, V. Varano, R-Funicularity for shells’ shape optimization, in: C. Fivet, P. D’Acunto, M. Fernández Ruiz, P. O. Ohlbrock (Eds.), Proceedings of the International fib Symposium on the Conceptual Design of Structures, Attisholz Areal, Switzerland, 16-18 September 2021, 2021, pp. 503-510. https://doi.org/10.35789/fib.PROC.0055.2021.CDSymp.P062