Abstract
The research starts from an analogy found between two apparently very different structural solutions: the double spiral pattern of the herringbone brick courses in the domes built by Antonio da Sangallo the Younger (1484-1546) during the Renaissance, and the particular pattern of a wooden floor ‘à la Serlio’, described by Amand Rose Emy in his Treatise at the beginning of 19th century, made by diagonal beams reciprocally sustained. The diagonal pattern of the floor has a geometrical relationship with the cross-herringbone pattern, so that the latter can be obtained by some geometrical transformations of the former. This pattern was also used in thin shells built by Nervi, from the destroyed airplane hangars in Tuscany to the Palazzetto dello sport in Rome, and even by Piacentini in 1936 and earlier in some neoclassical domes. Thus the construction tool, useful for building domes without expensive scaffolding, could have a structural role at the completed construction stage. Within the research different structures were investigated, in order to observe the relevance of this peculiar structural scheme particularly in the construction of modern domes.
References
[1] Di Pasquale S. La costruzione della cupola di Santa Maria del Fiore. Venezia: Marsilio; 2002.Search in Google Scholar
[2] Acidini Luchinat C, editor. La cattedrale di Santa Maria del Fiore a Firenze. Vol. 2. Firenze: Cassa di Risparmio di Firenze; 1995.Search in Google Scholar
[3] Giovannoni G. Antonio da Sangallo il Giovane. Vol. 1. Tipografia regionale; 1959.Search in Google Scholar
[4] Emy AR. Traité de l’art de la charpenterie. Vol. 1. Paris; 1837.Search in Google Scholar
[5] Zander G. Gli ottagoni di San Pietro riconosciuti nel dis. Arch. Uff. n. 1330. Palladio. 1988;1:67–82.Search in Google Scholar
[6] Paris V, Pizzigoni A, Adriaenssens S. Statics of self-balancing masonry domes constructed with a cross-herringbone spiraling pattern. Engineering Structures. 2020;215:110440.10.1016/j.engstruct.2020.110440Search in Google Scholar
[7] Chiarugi A, Foraboschi P. Monitoraggio e identificazione della cupola di Santa Maria del Fiore. L’Edilizia. 1993;20–42.Search in Google Scholar
[8] Bartoli G, Betti M, Borri C. Numerical modeling of the structural behavior of Brunelleschi’s dome of Santa Maria del Fiore. International Journal of Architectural Heritage. 2015;9(4):408–29.10.1080/15583058.2013.797038Search in Google Scholar
[9] Pizzigoni A, Paris V, Ruscica G. Herringbone technique: truth and history of a cutting-edge technology. Proceedings of IASS Annual Symposia, IASS 2018 Boston Symposium: Historical spatial structures. 2018;1–8.Search in Google Scholar
[10] Paris V. On the equilibrium of self-balanced shells under construction [Doctoral dissertation]. University of Bergamo; 2020.Search in Google Scholar
[11] Pezzoli D. Il dispositivo “spinapesce” per la costruzione di volte in muratura nella tecnologia rinascimentale dei Sangallo [Master thesis]. 2019.Search in Google Scholar
[12] HSH s.r.l. Straus7. HSH s.r.l.; 2013.Search in Google Scholar
[13] Cook RD, Malkus DS, Plesha ME, Witt RJ. Concepts and Applications of Finite Element Analysis. John Wiley & sons; 2007.Search in Google Scholar
[14] Cundall PA. Formulation of a three-dimensional distinct element model—Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. 1988;25(3):107–16.10.1016/0148-9062(88)92293-0Search in Google Scholar
[15] Hart R, Cundall PA, Lemos J. Formulation of a three-dimensional distinct element model—Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. 1988;25(3):117–25.10.1016/0148-9062(88)92294-2Search in Google Scholar
[16] Lemos JV. Discrete element modeling of masonry structures. International Journal of Architectural Heritage. 2007;1(2):190–213.10.1080/15583050601176868Search in Google Scholar
[17] Bathe KJ. Finite element procedures. books.google.com; 2006.Search in Google Scholar
[18] Sanpaolesi P. Brunelleschi. Milano: Edizioni per il Club del libro; 1962.Search in Google Scholar
[19] Galdieri E. Da Gerusalemme a Dakha: mille anni di cupole islamiche. In: Conforti C, editor. Lo specchio del Cielo. Milano: Electa; 1997. p. 53–66.Search in Google Scholar
[20] Paris V, Pizzigoni A, Ruscica G. Brunelleschi’s herringbone hidden reciprocal structure and the form finding of its self-supporting bricks. Proceedings of IASS Annual Symposia, IASS 2017 Hamburg Symposium: Historic Shell & Spatial Structures. 2017;1–10.Search in Google Scholar
[21] Loria G. Curve sghembe speciali, algebriche e trascendenti. Vol. I: Curve algebriche. Bologna: Zanichelli; 1925.Search in Google Scholar
[22] Conti G, Corazzi R. Il segreto della Cupola del Brunelleschi a Firenze – The Secret of Brunelleschi’s Dome in Florence. Firenze: Pontecorboli Editore; 2011.Search in Google Scholar
[23] Itasca Consulting Group, Inc. 3DEC. Itasca Consulting Group, Inc.; 2020.Search in Google Scholar
[24] Simon J, Bagi K. Discrete element analysis of the minimum thickness of oval masonry domes. International Journal of Architectural Heritage. 2016;10(4):457–75.10.1080/15583058.2014.996921Search in Google Scholar
[25] Heyman J. The stone skeleton: structural engineering of masonry architecture. Cambridge University Press; 1995.10.1017/CBO9781107050310Search in Google Scholar
[26] Weller B, Tasche M, Baatz J. Lamella Roof Constructions by Hugo Junkers. Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2009, Valencia. 2009.Search in Google Scholar
[27] Franke L, Stahr A, Dijoux C, Heidenreich C. How does the Zollinger Node really work? Proceedings of the IASS Annual Symposium 2017. 2017.Search in Google Scholar
[28] Hoberman C. Reversibly expandable doubly-curved truss structure. United States; 4942700, 1990.Search in Google Scholar
[29] Hoberman C. Radial expansion/retraction truss structures. United States; 5024031, 1991.Search in Google Scholar
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