Abstract
Aim of this chapter is studying Statics of the masonry arch. Limit Analysis of the arch, under vertical and horizontal forces, together with the research of its minimum thrust, is pursued by direct application of the general theory presented in the foregoing chapter. The minimum thrust is determined for the round and for the depressed arch, examining the strict connection existing between the geometry of the pressure line and the hinge position of the corresponding settlement mechanisms. Other special cases, as in particular the collapse induced by crushing of masonry in elements that cannot get deformed through mechanisms, as for instance in the plat-band arch, are studied. The chapter ends by examining and discussing the tests performed in laboratories to study the masonry arch behavior.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abruzzese, D., Como, M., & Lanni, G. (1985). Some results on the strength evaluation of vaulted masonry structures. In C. A. Brebbia & B. Leftheris (Eds.), Architectural studies, materials and analysis. Southampton, Boston: Computational Mechanics Publications.
Belidor, B. F. (1729). La science des ingénieurs dans la conduit des travaux de fortification et d’architecture civile. Paris.
Belli, P. (2008). Ponti in muratura di fine 800 nell’Italia Meridionale, Atti del 2° Convegno Naz.le di Storia dell’Ingegneria, Naples, 7–9 Aprile.
Benvenuto, E. (1991). An introduction to the history of structural mechanics, Part II, vaulted structures and elastic systems. New York: Springer.
Bresse, J. A. C. (1859). Cours de mécanique appliquée. Paris.
Castigliano, C. A. P. (1879). Theorie de l’equilibre des systemes élastiques et ses applications. Turin: Augusto Federico Negro.
Caratelli, A., Grimaldi, A., Ianniruberto, U., Imperatore, S., & Rinaldi, Z. (2009). Analisi sperimentale di archi in muratura rinforzati con FRP all’intradosso. XIII Conv. Naz.le ANIDIS: L’Ingegneria Sismica in Italia, Bologna.
Como, M., & Lanni, G. (1988). Sulla verifica alle azioni sismiche di complessi monumentali in muratura. In Giannini (Ed.), Cinquantenario della Facoltà di Architettura di Napoli. Napoli: Istituto di Costruzioni.
Como, M. (1996). On the role played by settlements in the statics of masonry structures. In A. A. Balkema (Ed.), International Conference Geotechnical Engineering for the Preservation of Monuments and Historic Sites, Napoli, Italy, October 3–4, Rotterdam.
Como, M. (1998). Minimum and maximum thrust states in statics of ancient masonry buildings. In A. A. Balkema (Ed.), Proceedings of 2nd International Arch Bridge Conference, Venice, Italy, October 6–9, Rotterdam.
Coulomb, C. A. (1773). Sur une Application des Régles de maximis et minimis à quelques problems de statique relatives à l’architecture. Mém. Acad. Sci. Savants Etrangers (Vol. VII). Paris.
Couplet, C. A. (1731). De la poussée des voutes. Memoires de l’Academie Royale des Sciences. Paris.
D’Agostino, S., & Bellomo, M. (2001). Ponti in muratura e in calcestruzzo armato, Manuale di ingegneria Civile (Vol. II). Bologna: Zanichelli/ESAC.
De la Hire, P. (1712). Sur la Construction des voutes dans les édifices, Mémoires de l’Académie Royale des Sciences. Paris.
Fabiani, F. M. (2007). Analisi statica delle volte a crociera in muratura, Tesi di dottorato. Department of Civil Engineering, University of Rome Tor Vergata, Roma.
Foce, F. (2002). Sulla teoria dell’arco murario: una rilettura storico-critica. In Degli Archi e delle Volte. di A. Becchi e F. Foce, Saggi Marsilio, Venezia.
Heyman, J. (1966). The stone skeleton. The International Journal of Solids and Structures, 2, 249.
Heyman, J. (1972). Coulomb’s memoir on statics. Cambridge University Press.
Heyman, J. (1982a). The masonry arch. Chichester: Ellis Horwood.
Heyman, J. (1982b). The masonry arch. Cambridge: Cambridge Press.
Heyman, J. (1997). The stone skeleton. Cambridge University Press.
Hooke, R. (1675). A description of helioscopes and some other instruments. London.
Inglis Sir, C. (1863). Applied mechanics for engineers. New York: Dover.
Irvine, M. (1981). Cable structures. New York: MIT Press and Dover Publications (1992).
Kooharian, A. (1952). Limit analysis of voussoir (segmental) and concrete arches. ACI Journal, Dec., Proc. V, 49, p. 317.
Kurrer, K. E. (2008). The history of the theory of structures. Berlin: Ernst & Sohn, Verlag.
Marcolongo, R. (1937). Studi vinciani (Vol. 7). Napoli.
Menabrea, L. F. (1858). Nouveau principe sur la distribution des tensions dans les systems elastiques. Comptes Rendus, 46.
Mery, E. (1840). Sur l’equilibre des voutes en berceau. Annales des Ponts et Chaussées.
Moseley, H. (1839). On the theory of the arch. In J. Hann (Ed.), The theory, practice and architecture of bridges. London.
Moseley, H. (1843). The mechanical principles of engineering and architecture. London.
Ochsendorf, J. (2006). The masonry arch on spreading supports. The Structural Engineer, 84(2).
Poleni, G. (1748). Memorie istoriche della gran cupola del tempio vaticano e de’ danni di essa, e de’ ristoramenti loro, Padova 1748, Ristampa della Biblioteca Facoltà di Arch. Univ. di Roma La Sapienza, Roma, 1988.
Poncelet, J. V. (1852). Examen critique et historique des principales théories ou solutions concernant l’équilibre des voutes. Comptes Rendus, 35.
Prager, W. (1959). An introduction to plasticity. Reading, Mass, U.S.A: Addison Wesley Publishing.
Santarella, L. (1974). Il Cemento Armato (Vol. 1). Milano: U. Hoepli.
Timoshenko, S. P. (1953). History of strength of materials. New York: Mc Graw-Hill Book Comp., Inc.
Truesdell, C. (1960). The rational mechanics of flexible or elastic bodies 1638–1788. Turici: Orel Füssli.
Winkler, E. (1858). Formanderung und Festigkeit gekrummter Korper, insbesondere der Ringe. Civil-Ingenieur (Vol. 4).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Como, M. (2017). Masonry Arches. In: Statics of Historic Masonry Constructions. Springer Series in Solid and Structural Mechanics, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-54738-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-54738-1_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-54737-4
Online ISBN: 978-3-319-54738-1
eBook Packages: EngineeringEngineering (R0)