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Stress Reduction Factors for Brick Masonry using the Classical Secant Formula

Nalina, MM and Keshava, M and Raghunath, S and Jagadish, KS (2023) Stress Reduction Factors for Brick Masonry using the Classical Secant Formula. In: 2022 International Conference on Innovations in Civil Engineering, ICICE 2022, 14-15 January 2022, Ernakulam.


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Official URL: https://doi.org/10.1063/5.0165286


The design strength of masonry depends upon several factors such as the masonry unit strength of masonry and mortar, modulus of elasticity and the stress reduction factors (SRFs). While the former is with regard to the material property, the latter is with regard to the geometry of masonry. This includes the three dimensions, that is, length, height and thickness of the masonry wall. The effect of these three dimensions are expressed in terms of SRFs which has an imperative bearing in the design of masonry structural members. The present study aims to derive the SRFs for brick masonry using the classical secant formula. The analytical approach is similar to the ones adopted for the prediction of critical load of brittle columns under eccentric load. The governing equation for the deflected shape of a wall under axial and eccentric load is solved using the secant formula chosen for the deflection mode. The geometric non-linearity (the P-� effect) and the material non-linearity (non-linear � � ε behavior of masonry) are included in the solution of the equation. These nonlinarites reduce the strength of a masonry wall which are considered in the form of reduction factors. Computations of SRFs by experiments is very tedious especially in ensuring the boundary conditions for the test specimens and hence considering an analytical model can be thought of as an alternative. The SRFs deduced using secant formula accounted the modulus of elasticity and the prism strengths, both of which are crucial parameters for arriving at the value of strength of masonry. In addition to these two factors, the formula incorporated the variation in the slenderness and eccentricity ratios similar to the ones mentioned in the leading masonry codes. Finally the stress reduction factors thus computed using the secant formula was found to be similar to the graphical patterns of capacity reduction factors presented in Eurocode and British standards. The present paper also highlights the limitations in Indian masonry code and showcases the advantage of the analytical method. © 2023 American Institute of Physics Inc.. All rights reserved.

Item Type: Conference Proceedings
Publication: AIP Conference Proceedings
Publisher: American Institute of Physics Inc.
Additional Information: The copyright for this article belongs to Author.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 04 Mar 2024 09:04
Last Modified: 04 Mar 2024 09:04
URI: https://eprints.iisc.ac.in/id/eprint/84267

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