STATISTICAL ASSESSMENT OF IN-PLANE MASONRY 1 PANELS USING LIMIT ANALYSIS WITH SLIDING 2 MECHANISM 3 Alejandro Jim´ enez Rios 1 , Marco Pingaro 1 , Emanuele Reccia 2 , Patrizia Trovalusci 1 4 ABSTRACT 5 Historical masonry structures have a great interest in civil engineering since they con- 6 stitute a large part of the world’s building heritage. In this paper the effects that different 7 geometrical (panel ratio, block ratio, bond type) and mechanical (friction ratio) parameters 8 have on the in-plane structural response of brick masonry panels are investigated. A discrete 9 modelling approach, based on a Limit Analysis, capable of reproducing sliding mechanisms, 10 formulation by one of the Authors have been adopted, enhanced and implemented. Results, in 11 terms of collapse multipliers and collapse mechanisms, are presented and analysed following a 12 systematic statistical approach. Statistically significant effects have been found for each factor 13 considered. Furthermore, the statistical model adopted included non-linear terms that allowed 14 to identify whether the effect of one parameter on the response depended on the level of any 15 other parameters. Thus, it was observed that two-way factor interactions played an important 16 role on the in-plane response of masonry panels. The panel ratio-friction ratio two-way factor 17 interaction was the one with a more significant effect. 18 Keywords: Limit Analysis, Friction, Masonry, Panels, No-tension contacts, Statisti- 19 cal assessment. 20 INTRODUCTION 21 Masonry is a non-homogeneous material constituted by blocks (stone, bricks or 22 adobes) and joints (mortar or dry) (Lourenc ¸o 1998). The structural behaviour of ma- 23 sonry is affected by geometry, disposition and mechanical properties of its constituents, 24 as well as by the aspect ratios of the panels and of the blocks, the arrangement of 25 blocks and scale factor of the units and the whole panel (Baggio and Trovalusci 1993; 26 1 Dept. of Structural and Geotechnical Engineering., Sapienza University of Rome, Via Gramsci 53, 00197, Rome, Italy. ORCID: 0000-0003-4470-255X, 0000-0002-7037-8661, 0000-0001-7946-3590 E-mail: [email protected], [email protected], pa- [email protected] 2 Dept. of Civil and Environmental Engineering and Architecture, University of Cagliari, Via Marengo 2, 09123, Cagliari, Italy. ORCID: 0000-0003-0499-4295 E-mail: [email protected] 1 Jim´ enez Rios, July 9, 2021
STATISTICAL ASSESSMENT OF IN-PLANE MASONRY PANELS USING LIMIT ANALYSIS WITH SLIDING MECHANISM
Jun 26, 2023
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