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== Abstract ==
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This paper investigates the unbuilt Musmeci parabolic vault, reinventing the original reinforced concrete structure as a dry-masonry vault. In the framework of rigid no-tension constitutive model with no sliding, the equilibrium analysis is conducted with the aim ofevaluating the design thickness of the masonry vault, respecting the original Musmeci shape. A parametric survey is performed to assess the minimum thickness of the vault, and its structural capacity under spreading supports. Attention is focused on the different collapse mechanisms and the corresponding crack patterns. For a better insight into the behaviour of the parabolic vault, the relevant case of the parabolic arch is first analysed and discussed. The numerical results show the feasibility of the project, with a thickness comparable with that proposed by Musmeci.
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== Full document ==
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<pdf>Media:Draft_Content_303700414p1109.pdf</pdf>
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== References ==
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[1] Musmeci, S. and Vaccaro, G. Copertura a volte paraboliche per un mercato rurale. L’Ingegnere (1954) 5:487-490. 
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[2] Heyman, J. The stone skeleton. Int. J. Solids Struct. (1966) 2:249-279. 
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[3] Heyman, J. The stone skeleton: structural engineering of masonry architecture. Cambridge University Press, (1997). 
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[4] Huerta, S. Mechanics of masonry vaults: The equilibrium approach. In: P.B. Lourenco et al. (Eds.): Historic Constructions, University of Minho (2001), pp. 47–69. 
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[5] Ochsendorf, J. A. Collapse of masonry structures. PhD thesis, Department of Engineering, Cambridge University, Cambridge, (2002). 
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[6] Nodargi, N.A., Intrigila, C. and Bisegna, P. A variational-based fixed-point algorithm for the limit analysis of dry-masonry block structures with non-associative Coulomb friction. Int. J. Mech. Sci. (2019) 161 105078. 
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[7] Como, M. Statics of historic masonry constructions. Springer, Vol. I, (2013), Vol. II, (2016). 
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[8] Siegel, C. Strukturformen der modernen Architektur. Munich, (1961) 
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[9] Intrigila, C., Nodargi, N.A. and Bisegna, P. Square cross vaults on spreading supports. In: R. Aguilar et al. (Eds.): Structural Analysis of Historical Constructions, RILEM Bookseries 18 (2019), pp. 1045–1053. 
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[10] Coccia, S., Di Carlo, F. and Rinaldi, Z. Collapse displacements for a mechanism of spreading-induced supports in a masonry arch. Int. J. Adv. Struct. Eng. (2015) 7:307–320. 
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[11] Nikolinakou, M. K., Tallon, A. J., and Ochsendorf, J. A. Structure and form of early Gothic flying buttresses. Revue européenne de génie civil (2005) 9:1191-1217. 
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[12] Makris, N. and Alexakis, H. The effect of stereotomy on the shape of the thrust-line and the minimum thickness of semicircular masonry arches. Arch. Appl. Mech. (2013) 83:1511-1533. 
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[13] Alexakis, H. and Makris, N. Minimum thickness of elliptical masonry arches. Acta Mech. (2013) 224: 2977-2991. 
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[14] Block, P. and Ochsendorf, J.A. Thrust network analysis: a new methodology for threedimensional equilibrium. J. Int. Assoc. Shell Spat. Struct. (2007) 48:67-173.
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