Modeling of Out-of-Plane Behavior of Masonry Walls
Publication: Journal of Structural Engineering
Volume 135, Issue 12
Abstract
The flexural behavior of rectangular masonry sections is investigated by considering nonlinear stress-strain in compression and limited-tension material. A preliminary analysis shows that, with variation in the parameters specializing with the adopted conventional constitutive law, the experimentally observed behavior of different kinds of masonry materials can be approximated. Subsequently, moment-curvature dimensionless curves are derived numerically by satisfying the equilibrium equations of the section. In the case of negligible tensile strength these curves exhibit a typical shape that can be approximated by analytical expressions; consequently, suitable functions are proposed that are governed by only a few parameters which depend on the compression level of the section and the available ductility of the material. The reliability of the proposed modeling procedure is also verified by using the experimental results of a previous study, where masonry elements subjected to an increasing eccentric normal load were considered. Therefore, the analytically defined flexural behavior is transferred to the characteristic sections of a discrete model of slender masonry column, in order to reproduce the experimental results of full-scale tests on bearing masonry walls subjected to increasing lateral deflections for stability analyses. Comments on the results obtained with this model would be useful for further investigations.
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References
AlShebani, M. M., and Sinha, S. N. (2000). “Cyclic compressive loading-unloading curves of brick masonry.” Struct. Eng. Mech., 9(4), 375–382.
Cavaleri, L., Failla, A., La Mendola, L., and Papia, M. (2005). “Experimental and analytical response of masonry elements under eccentric vertical load.” Eng. Struct., 27(8), 1175–1184.
Cavaleri, L., Fossetti, M., La Mendola, L., and Papia, M. (2006). “Experimental and analytical out-of-plane behaviour of calcarenite masonry walls.” Proc., 5th Int. Conf. on Structural Analysis of Historical Constructions, Balkema, Rotterdam, The Netherlands, 835–842.
Crook, R. N. (1982). “The behaviour of concrete block masonry units under vertical loads.” Proc., 6th Int. Brick Masonry Conf., Laterconsult, Rome, Italy, 627–638.
Drysdale, R. G., and Hamid, A. A. (1983). “Capacity of concrete block masonry under eccentric compressive loading.” ACI J., 80(2), 102–108.
Griffith, M. C., Lam, T. K., Wilson, J. L., and Doherty, K. (2004). “Experimental investigation of the unreinforced brick masonry walls in flexure.” J. Struct. Eng., 130(3), 423–432.
Hansen, K. F. (2001). “Uniaxial bending strength of masonry walls.” Masonry Int., 14(3), 96–128.
Hatzinikolas, M., Longworth, J., and Warwaruk, J. (1980). “Failure modes for eccentrically loaded concrete block masonry walls.” ACI J., 77(4), 258–263.
La Mendola, L. (1997). “Influence of nonlinear constitutive law on masonry pier stability.” J. Struct. Eng., 123(10), 1303–1311.
La Mendola, L., and Papia, M. (1993). “Stability of masonry piers under their own weight and eccentric load.” J. Struct. Eng., 119(6), 1678–1693.
Lu, M., Schultz, A. E., and Stolarski, H. K. (2004). “Analysis of the influence of tensile strength on the stability of eccentrically compressed slender unreinforced masonry walls under lateral loads.” J. Struct. Eng., 130(6), 921–933.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 114(8), 1804–1826.
Powell, B., and Hodgkinsons, H. R. (1976). “The determination of stress-strain relationship of brickwork.” Proc., 4th Int. Masonry Conf., Brugge, Belgium, 2.a.5.1–2a.5.6.
Sargin, M. (1971). “Stress-strain relationship for concrete and analysis of structural concrete sections.” Study N.4, M. Z. Cohn, ed., Solid Mechanics Division, Univ. of Waterloo, Waterloo, Ont.
Schultz, A. E., Bean, J., Lu, M., Stolarski, H., and Ojard, N. J. (2002). “Interactions of slenderness and lateral loading in URM walls” Proc., 6th Int. Masonry Conf., The British Masonry Society, London, 405–411.
Schultz, A. E., Ojard, N. J., and Stolarski, H. K. (2001). “Critical axial loads for transversely loaded masonry walls.” Proc., 9th Canadian Masonry Symp. (CD ROM), Dept. of Civil Engineering, Univ. of New Brunswick, Canada.
Yokel, F. Y. (1971). “Stability and capacity of members with no tensile strength.” J. Struct. Div., 97(7), 1913–1926.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 12 • December 2009
Pages: 1522 - 1532
Copyright
© 2009 ASCE.
History
Received: Nov 27, 2007
Accepted: Aug 3, 2009
Published online: Nov 13, 2009
Published in print: Dec 2009
Notes
Note. Associate Editor: Yahya C. Kurama
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