Padalu, Pravin Kumar Venkat Rao1; Singh, Yogendra2 and Das, Sreekanta3
1 Research Scholar, Department of Earthquake Engineering, Indian Institute of Technology Roorkee, India, ppkvr49@gmail.com
2 Professor and Head, Department of Earthquake Engineering, Indian Institute of Technology Roorkee, India, yogendra.eq@gmail.com
3 Professor, Department of Civil and Environmental Engineering, University of Windsor, 401 Sunset Avenue, Windsor, Ontario, Canada, sdas@uwindsor.ca
ABSTRACT A semi-empirical tri-linear displacement-based model is developed using the database of 38 experiments to simulate the out-of-plane behaviour of vertically (one-way) spanning unreinforced solid brick masonry walls subjected to uniformly distributed load. This database considers various parameters identified to control the out-of-plane behaviour of masonry walls. These parameters are: aspect ratio, slenderness ratio, axial load ratio, crack height, and material properties. The analytical equations for maximum lateral force and instability displacement are derived using kinematic approach, taking into account the stress block parameters. Using the experimental database, two calibration factors, 1 and 2 are proposed to modify the analytical relationships. These factors are used to obtain idealized maximum force and two displacement limits which represent the tri-linear force-displacement relationship for out-of-plane loaded URM walls supported by rigid diaphragms at top and bottom. The developed tri-linear model is compared with an existing model using experimental test results.
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