Structural Engineering and Mechanics

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The structural performance of arches made of few vossoirs with dry-joints

  • Bernat-Maso, Ernest (Department of Strength of Materials and Engineering Structures, Universitat Politecnica de Catalunya. Barcelona-Tech., ETSEIAT Campus Terrassa) ;
  • Gil, Lluis (Department of Strength of Materials and Engineering Structures, Universitat Politecnica de Catalunya. Barcelona-Tech., ETSEIAT Campus Terrassa) ;
  • Marce-Nogue, Jordi (Department of Strength of Materials and Engineering Structures, Universitat Politecnica de Catalunya. Barcelona-Tech., ETSEIAT Campus Terrassa)
  • Received : 2012.01.11
  • Accepted : 2012.11.08
  • Published : 2012.12.25
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Abstract

This work approaches the structural performance of masonry arches that have a small ratio between number of vossoirs and span length. The aim of this research is to compare and validate three different methods of analysis (funicular limit analysis F.L.A., kinematic limit analysis K.L.A. and plane stress Finite Element Analysis F.E.A.) with an experimental campaign. 18 failure tests with arches of different shapes and boundary conditions have been performed. The basic failure mechanism was the formation of enough hinges in the geometry. Nevertheless, in few cases, sliding between vossoirs also played a relevant influence. Moreover, few arches didn't reach the collapse. The FLA and KLA didn't find a solution close to the experimental values for some of the tests. The low number of vossoirs and joints become a drawback for an agreement between kinematic mechanism, equilibrium of forces and geometry constraints. FLA finds a lower bound whereas KLA finds an upper bound of the ultimate load of the arch. FEA is the most reliable and robust method and it can reproduce most of the mechanism and ultimate loads. However, special care is required in the definition of boundary conditions for FEA analysis. Scientific justification of the more suitability of numerical methods in front of classic methods at calculating arches with a few vossoirs is the main original contribution of the paper.

Keywords

References

  1. Alfano, G. and Crisfield, M.A. (2001), "Finite element interface models for the delamination anaylsis of laminated composites: mechanical and computational issues", Int. J. Numer. Meth. Eng., 50, 1701-1736. https://doi.org/10.1002/nme.93
  2. Andreu, A., Gil, L. and Roca, P. (2007), "Computational analysis of masonry structures with a funicular model", J. Eng. Mech., 133(4), 473-480. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:4(473)
  3. Audenaert, A., Peremars, H. and Reniers, G. (2007), "An analytical model to determine the ultimate load on masonry arch bridges", J. Eng. Math., 59(3), 323-336. https://doi.org/10.1007/s10665-006-9129-z
  4. Boothby, T.E. (2001), "Load rating of masonry arch bridges", J. Bridge Eng., 6(2), 79-86. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:2(79)
  5. Borri, A., Castori, G. and Corradi, M. (2011), "Intrados strengthening of brick masonry arches with composite materials", Compos. Part. B-Eng., 38(2), 144-151.
  6. Cavicchi, A. and Gambarotta, L. (2006), "Two-dimensional finite element upper bound limit analysis of masonry bridges", Comput. Struct., 84(19-20), 2316-2328. https://doi.org/10.1016/j.compstruc.2006.08.048
  7. Chen, Y., Ashour, A.F. and Garrity, S.W. (2007), "Modified four-hinge mechanism analysis for masonry arches strengthened with near surface reinforcement", Eng. Struct., 29, 1864-1871. https://doi.org/10.1016/j.engstruct.2006.09.023
  8. de Arteaga, I. and Morer, P. (2012), "The effect of geometry on the structural capacity of masonry arch bridges", Constr. Build. Mater., 34(1), 97-106. https://doi.org/10.1016/j.conbuildmat.2012.02.037
  9. Drosopoulos, G.A., Stavroulakis, G.E. and Massalas, C.V. (2006), "Limit analysis of a single span masonry bridge with unilateral frictional contact interfaces", Eng. Struct., 28, 1864-1873. https://doi.org/10.1016/j.engstruct.2006.03.016
  10. Drosopoulos, G.A., Stavroulakis, G.E. and Massalas, C.V. (2008), "Influence of the geometry and the abutments movement on the collapse of stone arch bridges", Constr. Build. Mater., 22(3), 200-210. https://doi.org/10.1016/j.conbuildmat.2006.09.001
  11. Fanning, P.J. and Boothby, T.E. (2001), "Three-dimensional modelling and full-scale testing of stone arch bridges", Comput. Struct., 79(29-30), 2645-2662. https://doi.org/10.1016/S0045-7949(01)00109-2
  12. Garmendia, L., San-Jose, J.T., Garcia, D. and Larrinaga, P. (2011), "Rehabilitation of masonry arches with compatible advanced composite material", Constr. Build. Mater., 25(12), 4374-4385. https://doi.org/10.1016/j.conbuildmat.2011.03.065
  13. Heyman, J. (1997), The Stone Skeleton: Structural Engineering of Masonry Architecture, Cambridge Univ. Press, Cambridge.
  14. Milani, E., Milani, G. and Tralli, A. (2008), "Limit analysis of masonry vaults by means of curved shell finite elements and homogenization", Int. J. Solids. Struct., 45(20), 5258-5288. https://doi.org/10.1016/j.ijsolstr.2008.05.019
  15. Roca, P., Lopez-Almansa, F., Miquel, J. and Hanganu, A. (2006), "Limit analysis of reinforced masorny vaults", Eng. Struct., 29, 431-439.

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