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Title: Analytical modelling of out-of-plane flexural response of unreinforced and strengthened masonry walls
Authors: Padalu P.K.V.R.
Singh, Yogendra C.
Das S.
Published in: Engineering Structures
Abstract: The available literature on out-of-plane bending of masonry walls identifies two distinct phases – pre-cracking and post-cracking, in the force-displacement response. Accordingly, a semi-empirical model for out-of-plane behaviour of unreinforced and strengthened masonry walls is developed, which considers the overall load-displacement response in two phases. The pre-cracking phase model predicts the peak strength of the masonry, whereas the post-cracking model provides a hysteresis envelope (back-bone curve). A tri-linear displacement-based model is developed for one-way bending walls subjected to uniformly distributed lateral load, using a database of 38 experiments available in the literature. Analytical expressions for maximum lateral force and instability displacement are derived using the kinematic approach. Using the experimental database, two factors, ?1 and ?2 are estimated to calibrate the analytical results. The calibrated analytical model shows a good agreement with the experimental results. An analytical method for predicting the two-way out-of-plane flexural capacity in the pre-cracking phase of unreinforced and strengthened masonry walls using crackline method is also developed. This model shows reasonably good results, even with the assumption of an idealized crack pattern. However, the force-displacement parameters for obtaining two-way bending back-bone curve in the post-cracking phase show large scatter indicating that the available test results are not adequate to develop an empirically calibrated model. © 2020 Elsevier Ltd
Citation: Engineering Structures (2020), 218(): -
Issue Date: 2020
Publisher: Elsevier Ltd
Keywords: Beam theory
Energy approach
One-way bending
Out-of-plane action
Tri-linear model
Two-way bending
Unreinforced masonry
ISSN: 1410296
Author Scopus IDs: 57204033421
Author Affiliations: Padalu, P.K.V.R., Department of Earthquake Engineering, IIT Roorkee, India
Singh, Y., Department of Earthquake Engineering, IIT Roorkee, India
Das, S., Department of Civil and Environmental Engineering, University of Windsor, Canada
Funding Details: The first author has received a fellowship from the Ministry of Human Resource Development (MHRD), Government of India (Grant No: OH-31-23-200-428), for conducting this research work. The support received from the funding agency is gratefully acknowledged.
Corresponding Author: Singh, Y.; Department of Earthquake Engineering, IIT RoorkeeIndia; email:
Appears in Collections:Journal Publications [EQ]

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