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Abstract

The safety verification of in-plane loaded masonry panels requires the evaluation of at least three different collapse conditions connected with overturning, shear sliding, and shear – compression failure at the panels’ toe. In reinforced panels, the resisting models should even take into consideration the presence of localized or distributed reinforcement. In general, the masonry is considered a Mohr-Coulomb type material not resisting tension and plastic in compression, while reinforcement is a brittle elastic material resisting tensile forces only [1]. The ultimate limit state is however linked with a given subset of compressed material inside the panel area. The compressed sections are therefore varying inside the panel as a function of the applied load. The collapse occurs in shear or overturning when one peculiar compressed section reduces to its minimum [2]. By equating the capacity in shear and overturning it is possible to derive an explicit statement of the minimum length of the compressed section which will be activated by a simultaneous failure in shear and overturning. A simple inequality is detecting the real failure mode and this allows directly computing the failure load resultant. The procedure is very fast and can deal even with localized or distributed reinforcement layers such as fiber strips or mesh reinforced mortars. Some examples of panels discussed in the literature show the effectiveness of the proposed verification procedure.

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References

[1] Benedetti A. In Plane Behaviour of Masonry Walls Reinforced with Mortar Coatings and Fibre Meshes. International Journal of Architectural Heritage (2019) 13-7:1029-1041, DOI: 10.1080/15583058.2019.1618972

[2] Benedetti A. and Benedetti L. Interaction of shear and flexural collapse modes in the assessment of in-plane capacity of masonry walls. Proc. of the 12th Canadian Masonry Symposium, Vancouver, Canada, June 2nd -5th, 2013.

[3] Aprile A, Benedetti A, Grassucci F. 2001. Assessment of Cracking and Collapse for Old Brick Masonry Columns. Journal of Structural Engineering, 127:1427–35. DOI:10.1061/(ASCE)0733-9445(2001)127:12(1427).

[4] Benedetti A, Steli E. Analytical models for shear-displacement curves of unreinforced and FRP reinforced masonry panels. Construction and Buildings Materials (2008), 22(3):175– 185. DOI:10.1016/j.conbuildmat.2006.09.005.

[5] Petry S. and Beyer K. Force–displacement response of in-plane-loaded URM walls with a dominating flexural mode, Earthquake Engng Struct. Dyn. (2015), DOI: 10.1002/eqe.2597

[6] DT 200-R2. Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Existing Structures. CNR, Italy (2014).

[7] DT 215. Istruzioni per la Progettazione, l’Esecuzione ed il Controllo di Interventi di Consolidamento Statico mediante l’utilizzo di Compositi Fibrorinforzati a Matrice Inorganica. CNR, Italy (2019).

[8] Churilov S., and Dumova-Jovanoska E. In-plane shear behaviour of unreinforced and jacketed brick masonry walls. Soil Dynamics and Earthquake Engineering (2013), 50:85– 105. DOI:10.1016/j.soildn.2013.03.006

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Published on 30/11/21
Submitted on 30/11/21

Volume Numerical modeling and structural analysis, 2021
DOI: 10.23967/sahc.2021.050
Licence: CC BY-NC-SA license

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