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On the Statics of the Dome of the Basilica of S. Maria Assunta in Carignano, Genoa

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Masonry Structures: Between Mechanics and Architecture

Abstract

The paper deals with the dome of the Basilica of S. Maria Assunta in Carignano in Genoa, designed by Galeazzo Alessi and built in the sixteenth century, for which meridian cracking, rather common in masonry domes, requires the assessment of the dome. In order to set a general procedure for the assessment this structures, limit analysis approaches are here discussed and compared. On the basis of classic limit analysis, local (dome only) and global (dome-drum system) collapse mechanisms are considered considering the different behaviour of several structural elements (lantern, shells of the dome, drum, colonnade). A static (safe theorem) and a kinematic approach are applied to the structure by means of equilibrium limit conditions and kinematically admissible collapse mechanisms. Comparisons between the obtained results are carried out so as to: (i) discuss a general approach to the assessment of dome-drum systems based on both numerical tools and standard limit analyses approaches; (ii) provide a first glance in the assessment of the dome.

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References

  • Andreu, A., Gil, L., & Roca, P. (2007). Computational analysis of masonry structures with a funicular model. Journal of Engineering Mechanics, 133(4), 473–480.

    Article  Google Scholar 

  • Bacigalupo, A. & Gambarotta, L. (2012). Effects of layered accretion on the mechanics of masonry structures. Mechanics Based Design of Structures and Machines: An International Journal 40(2), 163–184.

    Google Scholar 

  • Baldacci, R., & De Maestri, R. (1975). Premessa a una statica delle strutture portanti la Basilica di S. Maria di Carignano. In: Galeazzo Alessi e l'architettura del Cinquecento (Atti del Convegno internazionale di studi, Genova 16–20 aprile 1974) (pp. 327–332). Genoa: SAGEP.

    Google Scholar 

  • Baratta, A., & Corbi, O. (2010). On the equilibrium and admissibility coupling in NT vaults of general shape. International Journal of Solids and Structures, 47(17), 2276–2284.

    Article  MATH  Google Scholar 

  • Brencich, A., Corradi, C., & Gambarotta, L. (2008). Eccentrically loaded brickwork: Theoretical and experimental results. Engineering Structures, 30, 3629–3643.

    Article  Google Scholar 

  • Brencich, A., Gambarotta, L., & Ghia, A. (2001). Structural models for the assessment of the masonry dome of the Basilica of S. Maria of Carignano in Genoa. In P. B. Lourenço, & P. Roca (Eds.), Proceedings of the Structural Analysis of Historical Constructions (pp. 675–684). Guimarães.

    Google Scholar 

  • Brencich, A., Gambarotta, L., & Ghia, A. (2014). History-based assessment of the dome of the Basilica of S. Maria Assunta in Carignano in Genoa. International Journal of Architectural Heritage, 8, 690–717.

    Article  Google Scholar 

  • Como, M. (1992). Equilibrium and collapse analysis of masonry bodies. Meccanica, 27, 185–194.

    Article  MATH  Google Scholar 

  • Como, M. (1997). Un antico restauro statico della cupola di San Pietro a Roma. In C. Conforti (Ed.), Lo specchio del cielo (pp. 245–259). Milan: Electa.

    Google Scholar 

  • Como, M. (2010). Statica delle costruzioni storiche in muratura. Roma: Aracne.

    Google Scholar 

  • Como, M. (2013). Statics of Historic Masonry Constructions. Berlin: Springer.

    Book  Google Scholar 

  • Cowan, H. J. (1977a). A History of Masonry and Concrete Domes in Building Construction. Building and Environment, 12(1), 1–24.

    Article  Google Scholar 

  • Cowan, H. J. (1977b). Domes—Ancient and Modern. Architectural Science Review, 20(2), 38–43.

    Article  Google Scholar 

  • Cowan, H. J. (1981). Some Observations on the Structural Design of Masonry Arches and Domes before the Age of Structural Mechanics. Architectural Science Review, 24(4), 98–102.

    Article  Google Scholar 

  • D’Ayala, D. F., & Tomasoni, E. (2011). Three-dimensional analysis of masonry vaults using limit state analysis with finite friction. International Journal of Architectural Heritage, 5(2), 140–171.

    Article  Google Scholar 

  • De Gasperi, G., Picasso, S., & Ravano, G. (1907). Restauro della cupola. Rapporto tecnico del 1 agosto 1907 redatto dagli ingegneri Picasso, Ravano e De Gasperi. Sauli Archive, Basilica of Carignano, Genoa

    Google Scholar 

  • Del Piero, G. (1989). Constitutive equations and compatibility of the outer loads for linear elastic masonry-like materials. Meccanica, 24, 150–162.

    Article  MathSciNet  MATH  Google Scholar 

  • Di Pasquale, S. (1996). L’Arte del costruire. Tra conoscenza e scienza. Venice: Marsilio.

    Google Scholar 

  • Di Pasquale, S. (1979). The Dome of S. Maria del Fiore—an opportunity to state a theory of masonry structures. In Proceedings of the XX World Congress IASS, Madrid 24–28 September 1979 (Vol. 5, pp. 8.43–8.62).

    Google Scholar 

  • Farshad, M. (1977). On the shape of momentless tensionless masonry domes. Building and Environment, 12(2), 81–85.

    Article  Google Scholar 

  • Fraternali, F. (2010). A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions. Mechanics Research Communications, 37, 198–204.

    Article  MATH  Google Scholar 

  • Ghia, A. W. (1999). Il cantiere della basilica di S. Maria di Carignano dal 1548 al 1601. Atti della Società Ligure di Storia Patria, XXXIX, 263–399.

    Google Scholar 

  • Ghia, A. W. (2010). I disegni di Galeazzo Alessi per la Basilica di S. Maria di Carignano in Genova. Studi di storia delle arti (Università degli Studi di Genova), 11(2004–2010), 169–180.

    Google Scholar 

  • Goshima, R., Ohmori, H., Hagiwara, N., & Aoki, N. (2011). Investigation of the cross-section of the pantheon dome through catenary mechanism. Journal of the International Association for Shell and Spatial Structures, 52(167), 19–23.

    Google Scholar 

  • Gusella, V., Belardi, P., Bianconi, F., Armeni, M., Cavalagli, N., & Martini, L. (2012). The domed skyscraper of Galeazzo Alessi. The geometric and structural ambiguities of dome of the Saint Mary of the Angels Basilica. In Proceedings of Domes in the World. Cultural Identity and Symbolism. Geometric and Formal Genesis. Construction, Identification, Conservation. Florence: Nardini.

    Google Scholar 

  • Heyman, J. (1966). The Stone Skeleton. International Journal of Solids and Structures, 2, 249–279.

    Article  Google Scholar 

  • Heyman, J. (1967). On shell solutions for masonry domes. International Journal of Solids and Structures, 3(2), 227–241.

    Article  Google Scholar 

  • Heyman, J. (1988). Poleni’s Problem. Proceedings of the Institution of Civil Engineers, 84, 737–759.

    Article  Google Scholar 

  • Huerta, S. (2001). Mechanics of masonry vaults: The equilibrium approach. In P.B. Lourenço & P. Roca (Eds.), Proceedings of the III International Seminar on Structural Analysis of Historical Constructions (pp. 47–69). Guimarães.

    Google Scholar 

  • Huerta, S. (2008). The analysis of masonry architecture: A historical approach. Architectural Science Review, 51(4), 297–328.

    Article  Google Scholar 

  • Kooharian, A. (1952). Limit analysis of voussoir and concrete arches. Journal of American Concrete Institute, 49(12), 317–328.

    Google Scholar 

  • Le Seur, T., Jacquier, F., & Boscovich, R. G. (1743). Parere di tre matematici sopra i danni trovati nella cupola di S. Pietro sul fine dell’anno 1742, dato per ordine di N.S. Benedetto XIV. Rome.

    Google Scholar 

  • Lucchesi, M., Padovani, C., Pasquinelli, G., & Zani, N. (2007). Static analysis of masonry vaults, constitutive model and numerical analysis. Journal of Mechanics of Materials and Structures, 2(2), 221–244.

    Article  Google Scholar 

  • Milani, E., Milani, G., & Tralli, A. (2008). Limit analysis of masonry vaults by means of curved shell finite elements and homogenization. International Journal of Solids and Structures, 45(20), 5258–5288.

    Article  MATH  Google Scholar 

  • O’Dwyer, D. (1999). Funicular analysis of masonry vaults. Computers and Structures, 73, 187–197.

    Article  MATH  Google Scholar 

  • Oppenheim, I. J., Gunaratnam, D. J., & Allen, R. H. (1989). Limit state analysis of masonry domes. Journal of Structural Engineering, 115(4), 868–882.

    Article  Google Scholar 

  • Pesciullesi, C., Rapallini, M., Tralli, A., & Cianchi, A. (1997). Optimal spherical masonry domes of uniform strength. Journal of Structural Engineering, 123(2), 203–209.

    Article  Google Scholar 

  • Poleni, G. (1748). Memorie istoriche della gran cupola del tempio vaticano e de' danni di essa, e de' ristoramenti loro. Padua: Stamperia del Seminario.

    Google Scholar 

  • Zessin, J., Lau, W., & Ochsendorf, J. (2010). Equilibrium of cracked masonry domes. Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics, 163(3), 135–145.

    Google Scholar 

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Correspondence to Luigi Gambarotta .

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Bacigalupo, A., Brencich, A., Gambarotta, L. (2015). On the Statics of the Dome of the Basilica of S. Maria Assunta in Carignano, Genoa. In: Aita, D., Pedemonte, O., Williams, K. (eds) Masonry Structures: Between Mechanics and Architecture. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-13003-3_6

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