Publication Cover
International Journal of Architectural Heritage
Conservation, Analysis, and Restoration
Volume 10, 2016 - Issue 7
965
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

Design and Analysis of Cross Vaults Along History

, , &
Pages 841-856 | Received 25 Feb 2015, Accepted 11 Dec 2015, Published online: 21 Sep 2016

References

  • Abraham, P. 1934. Viollet-Le-Duc et Le Rationalisme Médiéval. Paris, France: Vicent, Fréal et Cie.
  • Alberti, L. B. 1485. De Re Aedificatoria. Firenze (Italy): Nicolai Laurentii Alamani. (Translated in Italian by Cosimo Bartoli, I Dieci Libri Di Architettura. Roma (Italy): Giovanni Zempel, 1784).
  • Andreu, A., L. Gil, and P. Roca. 2007. Computational analysis of masonry structures with a funicular model. Journal Engineering Mechanisms 133 (4). American Society of Civil Engineers:473–80. doi:10.1061/(ASCE)0733-9399(2007)133:4(473).
  • Barthel, R. 1991. Tragverhalten gemauerter - Kreuzgewölbe. In Aus Forschung und Lehre, No. 26. Dissertation. Karlsruhe, Germany: University of Karlsruhe.
  • Belidor, B. F. de. 1729. La science des ingénieurs dans la conduite des travaux de fortification et architecture civile. Paris, France: Chez Claude Jombert.
  • Benvenuto, E. 1991. An introduction to the history of structural mechanics - Part II: Vaulted structures and elastic. New York, NY: Springer-Verlag.
  • Beranek, W. J. 1988. Understanding of Structures. In Stable-unstable? Struct. Consol. Anc. Build., ed. R. M. Lemaire, and K. Van Balen, 29–44. Leuven, Belgium: Leuven University Press.
  • Block, P. 2009. Thrust Network Analysis: Exploring Three-Dimensional Equilibrium. Ph.D. dissertation, Massachusetts Institute of Technology.
  • Blondel, F. 1675. Cours D’architecture Enseigné Dans l’Academie Royale D’architecture. Paris, France: Lambert Roulland.
  • Branca, G. 1783. Manuale D’architettura, 4th ed., ed. V. Monaldini. Roma, Italy: Con licenza dei Superiori.
  • Brencich, A., and R. Morbiducci. 2007. Masonry arches: Historical rules and modern mechanics. International Journal of Architectural Heritage 1 (2):165–89. doi:10.1080/15583050701312926.
  • Capone, M., M. Campi, and R. Catuogno. 2015. Gothic Churches in Paris St Gervais et St Protais Image Matching 3d Reconstruction to Understand the Vaults System Geometry. In The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, eds. D. Gonzalez-Aguilera, F. Remondino, J. Boehm, T. Kersten, and T. Fuse, 423–30. Avila (Spain).
  • Cataneo, P. 1567. L’architettura. Venezia, Italy: In casa de’ figliuoli di Aldo.
  • Cavalieri San-Bertolo, N. 1826. Istituzioni Di Architettura Statica E Idraulica. Bologna, Italy: Tipografia Cardinali e Frulli.
  • Ching, F. D. K. 1995. A visual dictionary of architecture. New York, NY: John Wiley & Sons.
  • Coenen, U. 1990. Die spätgotischen Werkmeisterbücher in Deutschland. Untersuchung und Edition der Lehrschriften für Entwurf und Ausführung von Sakralbauten. München, Germany: Scaneg.
  • Como, M. 2013. Statics of Historic Masonry Constructions. Springer Series in Solid and Structural Mechanics. Berlin Heidelberg: Springer-Verlag.
  • Culmann, K. 1864. Die Graphische Statik (1864-1866). Zurich, Switzerland: Meyer & Zeller.
  • D’Ayala, D., and C. Casapulla. 2001. Limit State Analysis of Hemispherical Domes with Finite Friction. In Structural Analysis of Historic Construction, ed. P. B. Lourenço, and P. Roca, 617–26. Guimarães, Portugal: University of Minho.
  • De La Hire, P. 1712. Sur la construction des voûtes dans les édifices. In Mémoires de mathématique et de physique de l’Académie royale des sciences. Paris, France: Académie royale des sciences.
  • Derand, F. 1643. L’architecture Des Voûtes, Ou L’art Des Traits et Coupes Des Voûtes. Paris, France: André Cailleau.
  • Di Pasquale, S. 1996. L’arte Del Costruire. Tra Conoscenza E Scienza. Venezia, Italy: Marsilio.
  • Frankl, P., Edited by. 1960. The Gothic. Literary sources and interpretations through eight centuries. Princeton, NJ: Princeton University Press.
  • Frézier, A. F. 1737. La Théorie et La Pratique de La Coupe de Pierres et Des Bois Pour La Construction Des Voûtes et Autres Parties Des Bâtiments Civils et Militaires, Ou Traité de Stéréotomie à L’usage de L’architecture (1737-1739). Strasbourg/Paris, France: Charles-Antoine Jombert.
  • Heyman, J. 1966. The Stone Skeleton. International Journal of Solids and Structures 2 (2):249–79. doi:10.1016/0020-7683(66)90018-7.
  • Heyman, J. 1968. On the rubber vaults of the middle ages and other matters. Gazette Design Beaux- Arts 71:177–88.
  • Heyman, J. 1972. Coulomb’s memoir on statics: An essay in the history of civil engineering. Cambridge, UK: Cambridge University Press.
  • Heyman, J. 1977. Equilibrium of shell structures. Oxford Engineering Science Series. Oxford, UK: Clarendon Press.
  • Heyman, J. 1982. The masonry arch. Chichester, UK: Ellis Horwood Ltd.
  • Heyman, J. 1995. The stone skeleton: Structural engineering of masonry architecture. Cambridge, UK: Cambridge University Press.
  • Huerta, S. 2004. Arcos, Bóvedas Y Cúpulas: Geometría Y Equilibrio En El Cálculo Tradicional de Estructuras de Fábrica. Madrid, Spain: Instituto Juan de Herrera.
  • Huerta, S. 2006. Galileo was wrong: The geometrical design of masonry arches. Nexus Network Journal 8 (2):25–52. doi:10.1007/s00004-006-0016-8.
  • Huerta, S. 2009. The Debate about the structural behaviour of gothic vaults: From Viollet-Le-Duc to Heyman. In Construction History 837–44. Cottbus.
  • Huerta, S. 2010. Thomas Young’s Theory of the Arch: Thermal Effects. In Mech. Archit. Between Epistéme Téchne, ed. A. Sinopoli, 155–78. Roma, Italy: Edizioni di Storia e Letteratura.
  • ICOMOS/ISCARSAH Committee. 2003. Recommendations for the analysis, conservation and structural restoration of architectural heritage. ICOMOS 14th General Assembly, Vicoria Falls, Zimbabwe, October.
  • Koepf, H. 1969. Die gotischen planrisse der wiener sammlungen. Vienna, Austria: Hermann Böhlaus Nachf.
  • Körner, C. 1901. Gewölbte Decken. Handbuch Der Architektur, Vols. 2, No. 3b, 3rd ed. Stuttgart, Germany: Arnold Bergsträsser Verlagsbuchhandlung.
  • Kurrer, K.-E. 2008. The history of the theory of structures: From arch analysis to computational mechanics. Berlin, Germany: Ernst & Sohn.
  • Lourenço, P. B. 2002. Computations on historic masonry structures. prog. Structure Engineering Materials 4 (3):301–19.
  • Mark, R. 1982. Experiments in gothic structure. Cambridge, MA: The MIT Press.
  • Mascheroni, L. 1785. Nuove Ricerche Sull’equilibrio Delle Volte. Bergamo, Italy: Francesco Locatelli.
  • McInerney, J., and M. DeJong. 2014. Discrete element modelling of groin vault displacement capacity. International Journal of Architectural Heritage 9 (8):1037–1049. DOI:10.1080/15583058.2014.923953.
  • Milani, G., M. Simoni, and A. Tralli. 2014. Advanced numerical models for the analysis of masonry cross vaults: A case-study in Italy. Engineering Structures 76 (October):339–58. doi:10.1016/j.engstruct.2014.07.018.
  • Müller, W., Edited by. 1990. Grundlagen Gotischer Bautechnik. Munchen, Germany: Deutscher Kunstverlag.
  • Navascués Palacio, P. 1974. El Libro de Arquitectura de Hernán Ruiz, El Joven. Madrid, Spain: Escuela Tecnica Superior de Arquitectura de Madrid, ETSAM.
  • O’Dwyer, D. 1999. Funicular analysis of masonry vaults. Computers & Structures 73 (1–5):187–97. doi:10.1016/S0045-7949(98)00279-X.
  • Palacios, J. C. 2006. The Gothic Ribbed Vault in Rodrigo Gil de Hontañón. In Second Int. Congr. Constr. Hist., 2415–31. Cambridge, UK: Cambridge University, Queens’ College.
  • Palacios, J. C., and R. Martín Talaverano. 2013. Technological development in Spanish gothic vaults design. International Journal of Architectural Heritage 7 (2):189–206. doi:10.1080/15583058.2011.624255.
  • Palladio, A. 1570. I Quattro Libri Dell’architettura. Venezia, Italy: Dominico de’ Franceschi (Reprinted Siena, Italy: Alessandro Mucci, 1790).
  • Paulin, E. J. B. 1890. Thermes de Dioclétien. Paris, France: Firmin-Didot et Cie.
  • Planat, P. 1887. Pratique de La Mécanique Appliquée à La Resistance Des Matériaux. Paris, France: La Construction Moderne.
  • Roca, P., M. Cervera, L. Pelà, R. Clemente, and M. Chiumenti. 2013. Continuum FE Models for the Analysis of Mallorca Cathedral. Engineering Structures 46 (January):653–70. doi:10.1016/j.engstruct.2012.08.005.
  • Rodriguez, M. A. A., J. C. López, P. N. Vivó, and M. T. Guzmán. 2012. Stonecutters’ literature and construction practice in early modern gothic. The Tracings for a Rib Vault at the Cathedral of Tui Constr Historical 27:1–21.
  • Rondelet, J. 1802. Traité Théorique et Pratique de L’art de Bâtir (1802-1810), 7th ed. ed., 1834–48). Paris, France: Chez l’auteur.
  • Rossi, M., C. Calderini, S. Lagomarsino, and G. Milani. 2014. Seismic response of masonry vaulted structures: experimental and numerical modelling. In 9th Int. Mason. Conf., edited by P. B. Lourenço, B. A. Haseltine, and G. Vasconcelos. Guimarães, Portugal: Universidade do Minho.
  • Sabouret, V. 1928. Les Voûtes D’arêtes Nervurées. Rôle Simplement Décoratif Des Nervures. Le Génie Civ 92:205–9.
  • Sanabria, S. L. 1982. The Mechanization of Design in the 16th Century: The Structural Formulae of Rodrigo Gil de Hontañón. Journal of the Society of Architectural Historians 41 (4):281–93.
  • Strommer, L. 2008. Spherical Segment Approximation of Quadripartite Vaults. Period. Periodica Polytechnica Architecture 39 (1):27–34. doi:10.3311/pp.ar.2008-1.04.
  • Tarrío, I. 2010. Gothic structural theories Ca. 1930: The contribution of Victor Sabouret. Advanced Materials Research 133–134:137–42. doi:10.4028/www.scientific.net/AMR.133-134.
  • Theodossopoulos, D. 2008. Structural design of high gothic vaulting systems in England. International Journal of Architectural Heritage 2 (1):1–24. doi:10.1080/15583050701516484.
  • Tomasoni, E. 2008. Le Volte in Muratura Negli Edifici Storici: Tecniche Costruttive E Comportamento Strutturale. Ph.D. dissertation, Università degli Studi di Trento.
  • Tosca, T. V. 1707. Compendio Mathemático En Que Se Contienen Todas Las Materias Más Principales de Las Ciencias Que Tratan de La Cantidad (1707-15), 2nd ed., 1721–27. Fifth volume reprinted in Arquitectura civil, montea y cantería: Valencia, Italy: Librería París-Valencia, 1992; Universidad Politécnica, 2000). Madrid/Valencia, Spain: Antonio Bordazar.
  • Ungewitter, G. G., and K. Mohrmann. 1890. Lehrbuch Der Gotischen Konstruktionen, 3rd edn ed. T. O. Weigel Nachf. Leipzig, Germany.
  • Valadier, G. 1832. L’architettura Pratica Dettata Nella Scuola E Cattedra Dell’insigne Accademia Di S. Luca. Roma, Italy: Com permesso de’ Superiori.
  • Viollet-le-Duc, E. E. 1854. Dictionnaire Raisonnée de l’Architecture Française Du XI Au XVI Siécle (1854-1868). Paris, France: A. Morel.
  • Vittone, B. A. 1760. Istruzioni Elementari per Indirizzo Dei Giovani Allo Studio Dell’architettura. Lugano, Switzerland: Agnelli.
  • Wendland, D. 2007. Traditional vault construction without formwork: masonry pattern and vault shape in the historical technical literature and in experimental studies. International Journal of Architectural Heritage 1 (4):311–65. doi:10.1080/15583050701373803.
  • Wendland, D., M. A. Alonso, and A. Kobe, et al. 2014. The Vault with Curvilinear Ribs in the “Hall of Arms” in the Albrechtsburg Meissen: Studies on the Concept, Design and Construction of a Complex Late Gothic Rib Vault. In First Conf. Constr. Hist. Soc., edited by J. Campbell, 459–68. Cambridge, UK: Cambridge University Press.
  • Willis, R. 1835. Remarks on the architecture of the Middle Ages, especially of Italy. Cambridge, UK: Cambridge University Press.
  • Willis, R. 1842. On the Construction of the Vaults of the Middle Ages, Vols. 1, Part 2. London, UK: Transactions of the Royal Institute of British Architects.
  • Wilson, C. 1990. The gothic cathedral: The architecture of the great church 1130-1530. New York, NY: Thames and Hudson.
  • Wittmann, W. 1879. Zur Theorie Der Gewölbe. Zeitschrift Für Bauwes 29:61–74.
  • Wolfe, W. S. 1921. Graphical analysis: a handbook on graphic statics. New York, NY: McGraw-Hill Book Company.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.