Technical Papers
Feb 14, 2017

Hinging Mechanisms of Masonry Single-Nave Barrel Vaults Subjected to Lateral and Gravity Loads

Publication: Journal of Structural Engineering
Volume 143, Issue 6

Abstract

This paper investigates the limit states of a circular masonry arch supported on rectangular buttresses when subjected to lateral inertial loading in addition to gravity loading by employing the principle of stationary potential energy. Depending on the slenderness of the arch compared to the slenderness of the buttresses, the study identifies two lower failure mechanisms: (1) a four-hinge mechanism within the arch alone; and (2) hinging of the arch in three locations together with a hinge at the base of the downstream buttress. In this analysis, radial ruptures are assumed for the arch, while the buttresses may rupture either horizontally or develop an oblique elongation failure along which the compression-free portion of the buttress separates. It is concluded that the hinging mechanism that triggers an oblique elongation failure of the downstream buttress is the most critical and initiates at a lower value of the seismic coefficient than the value associated with the mechanism that involves a horizontal fracture at the buttress. Finally, it is shown that the discrete-element method (DEM) captures the results of the proposed variational method with remarkable accuracy.

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References

Alexakis, H., and Makris, N. (2013). “Minimum thickness of elliptical masonry arches.” Acta Mech., 224(12), 2977–2991.
Alexakis, H., and Makris, N. (2014). “Limit equilibrium analysis and the minimum thickness of circular masonry arches to withstand lateral inertial loading.” Arch. Appl. Mech., 84(5), 757–772.
Alexakis, H., and Makris, N. (2015). “Limit equilibrium analysis of masonry arches.” Arch. Appl. Mech., 85(9), 1363–1381.
Alexakis, H., and Makris, N. (2016). “Validation of the discrete element method for the limit stability analysis of masonry arches.” Computational modeling of masonry structures using the discrete element method, V. Sarhosis, K. Bagi, J. V. Lemos, and G. Milani, eds., IGI Global, Hershey, PA, 292–325.
Clemente, P. (1998). “Introduction to dynamics of stone arches.” Earthquake. Eng. Struct. Dyn., 27(5), 513–522.
Cundall, P. A. (1971). “A computer model for simulating progressive large-scale movements in blocky rock system.” Proc., Symp. of the Int. Society for Rock Mechanics, Nancy, France.
DeJong, M. (2009). “Seismic assessment strategies for masonry structures.” Ph.D. thesis, Dept. of Architecture, Massachusetts Institute of Technology, Boston.
De Lorenzis, L., DeJong, M., and Ochsendorf, J. (2007). “Failure of masonry arches under impulse base motion.” Earthquake. Eng. Struct. Dyn., 36(14), 2119–2136.
De Luca, A., Giordano, A., and Mele, E. (2004). “A simplified procedure for assessing the seismic capacity of masonry arches.” Eng. Struct., 26(13), 1915–1929.
Gaß, S. (1990). “IL 25: Experiments.” Univ. of Lightweight Structures, Stuttgart, Germany.
Heyman, J. (1992). “Leaning towers.” Meccanica, 27(3), 153–159.
Huerta, S. (2006). “Galileo was wrong: The geometrical design of masonry arches.” Nexus Network. J., 8(2), 25–52.
Lagomarsino, S., and Cattari, S. (2015). “PERPETUATE guidelines for seismic performance-based assessment of cultural heritage masonry structures.” Bull. Earthquake Eng., 13(1), 13–47.
Lemos, J. V. (1995). “Assessment of the ultimate load of a masonry arch using discrete elements.” Computer methods in structural masonry, J. Middleton and G. N. Pande, eds., Books and Journals International, Swansea, U.K., 294–302.
Lemos, J. V. (2007). “Discrete element modelling of masonry structures.” Int. J. Archit. Heritage, 1(2), 190–213.
Makris, N. (2014a). “A half-century of rocking isolation.” Earthquakes Struct., 7(6), 1187–1221.
Makris, N. (2014b). “The role of the rotational inertia on the seismic resistance of free-standing rocking columns and articulated frames.” Bull. Seism. Soc. Am., 104(5), 2226–2239.
Makris, N., and Alexakis, H. (2013). “The effect of stereotomy on the shape of the thrust-line and the minimum thickness of semicircular masonry arches.” Arch. Appl. Mech., 83(10), 1511–1533.
Makris, N., and Alexakis, H. (2015). “Limit equilibrium analysis of masonry buttresses and towers under lateral and gravity loads.” Arch. Appl. Mech., 85(12), 1915–1940.
Makris, N., and Vassiliou, M. F. (2013). “Planar rocking response and stability analysis of an array of free-standing columns capped with a freely supported rigid beam.” Earthquake. Eng. Struct. Dyn., 42(3), 431–449.
Makris, N., and Vassiliou, M. F. (2014). “Are some top-heavy structures more stable?” J. Struct. Eng., .
Ochsendorf, J. (2002). “Collapse of masonry structures.” Ph.D. thesis, Dept. of Engineering, Univ. of Cambridge, Cambridge, U.K.
Ochsendorf, J. A., Hernando, J. I., and Huerta, S. (2004). “Collapse of masonry buttresses.” J. Archit. Eng., 88–97.
Oppenheim, I. J. (1992). “The masonry arch as a four-link mechanism under base motion.” Earthquake Eng. Struct. Dyn., 21(11), 1005–1017.
Pagnoni, T. (1994). “Seismic analysis of masonry and block structures with the discrete element method.” Proc., 10th European Conf. on Earthquake Engineering, A.A. Balkema, Rotterdam, Netherlands, 1669–1674.
Papantonopoulos, C., Psycharis, I. N., Papastamatiou, D. Y., Lemos, J. V., and Mouzakis, H. P. (2002). “Numerical prediction of the earthquake response of classical columns using the distinct element method.” Earthquake. Eng. Struct. Dyn., 31(9), 1699–1717.
Roca, P., Cervera, M., Gariup, G., and Pelà, L. (2010). “Structural analysis of masonry historical constructions. Classical and advanced approaches.” Arch. Comput. Methods. Eng., 17(3), 299–325.
Shames, I. H., and Dym, C. L. (1985). Energy and finite elements methods in structural mechanics, Hemisphere Publishing, New York.
UDEC version 4.0 [Computer software]. Itasca Consulting Group, Minneapolis.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 6June 2017

History

Received: Jun 23, 2016
Accepted: Nov 29, 2016
Published online: Feb 14, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 14, 2017

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Authors

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Haris Alexakis
Postdoctoral Researcher, Dept. of Civil, Environmental and Construction Engineering, Univ. of Central Florida, Orlando, FL 32816.
Nicos Makris, M.ASCE [email protected]
Professor, Dept. of Civil, Environmental and Construction Engineering, Univ. of Central Florida, Orlando, FL 32816; Member, Office of Theoretical and Applied Mechanics, Academy of Athens, Athina 106 79, Greece (corresponding author). E-mail: [email protected]

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