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A Lower-bound limit analysis solution for lateralload capacity of masonry walls

Karadeniz, Derya
Masonry exists from very past centuries around the world which is used not only for sheltering, most of historical architectural masterpieces are masonry structures. Masonry offers advantages in many areas such as easy supply of materials, easy to construct and thermal durability of materials. However, the analysis of masonry buildings is not a easy task. Various reasons such as the diversity of materials used and the lack of characteristic properties of these materials, lack of design regulations and the fact that the analysis methods used for today's reinforced concrete and steel structures are not suitable for masonry buildings complicate the analysis of masonry buildings. Because these structures are non-engineered structures, it is difficult and time-consuming to apply complex analysis methods for masonry buildings. Limit analysis is a very useful and fast method for non-engineered buildings such as masonry buildings. In this study, it is provided to obtain lateral load capacity by using lower-bound limit analysis method. Starting from a wall with no opening with the lower bound theorem based on the provision of static equilibrium and yield conditions, the walls with various openings were calculated and the maximum lateral load they were able to take was found. In this way, the openings had an effect on the lateral load capacity of the wall and a comparison was made. In addition, various properties of the wall have been changed to support the assumptions about the masonry wall. Matlab2017b program was applied for the application of the lower-bound theorem.