Abstract
According to the importance of seismic evaluation of existing unreinforced masonry (URM) buildings, researchers have been interested in numerical modelling of these types of structures and their components. On the other hand, in seismic performance evaluation and retrofitting codes which are mostly based on Performance Based Seismic Design (PBSD), different analysis methods such as linear and nonlinear, static and dynamic analyses are employed. Therefore, simple equivalent frame models with lower computational cost are very useful for modelling and analysis of unreinforced masonry buildings. In this article, a simple equivalent truss model is proposed for modelling and analysis of an unreinforced masonry wall with sliding shear failure as the governing in-plane failure mode. The model is developed according to an analogy between the internal forces in a triangular truss and the Mohr-Coulomb failure criteria. Then, the proposed model is generalized for modelling and push over analysis of combinations of walls. Finally, the modelling procedure is applied for push over analysis of an unreinforced masonry wall consists of some piers and the push over curve of the wall is determined and discussed.
Highlights
Significant number of unreinforced masonry buildings with different occupancies such as residential or official exist in all over the world
Different numerical modelling approaches are developed for analysis of unreinforced masonry walls and buildings by application of different numerical tools such as Finite Element Method or Discrete Element method
Modelling approaches that are recommended for unreinforced masonry walls could be categorized into three main groups; micro and simplified micro modelling, macro modelling and equivalent frame modelling
Summary
Significant number of unreinforced masonry buildings with different occupancies such as residential or official exist in all over the world. Fobaroschi and Vanin developed a new nonlinear static model for determining the lateral capacity of masonry buildings based on this theorem This model can simulate the behavior of masonry in different stages; uncracked, cracked and softening conditions [20]. Foti presented a new experimental approach for push over analysis of masonry buildings based on an analogy between rock mass and wall mass for the mechanical characterization of the masonry For this purpose, Hoek–Brown model for determining the nonlinear shear strength of masonry was utilized. A simple equivalent truss model for nonlinear static analysis of URM walls with sliding shear failure as the governing in-plane failure mode that Mohr-Coulomb constitutive model is used to determine their ultimate inplane strength, is presented. The effect of gravity loads on the in-plane capacity of the masonry piers is considered automatically in the model
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