# HIERARCHICAL MODELING OF SHEAR-WALLS STRUCTURES

## Palavras-chave:

Shear-wall, Hierarchical modeling, Mathematical model## Resumo

The consideration of the horizontal displacements and forces produced by lateral actions

such as wind or earthquake is mandatory for tall buildings. In order to reduce the effects generated by

bending and twisting of the building, structural systems known as "bracing" are used. As examples of

these systems, there are frames and shear-wall elements; this last one, usually located inside the

buildings, with a small thickness when compared to the other dimension of the cross section. The

Brazilian design of concrete structures standard code (NBR 6118:2014) has some procedures related

to the shear-walls analysis. Although the NBR 6118 considers it as a surface structure, this code

permits its representation by a linear element. This structural model simplification has advantages, but

nowadays, considering the wide access to computational softwares for structural analysis, it is

important to evaluate the shear-wall behavior and internal forces with more complex models. This

paper analyses several mathematical models with increasing degree of complexity (hierarchical

modeling) to simulate usual geometries of shear-walls such as rectangular, U, lipped-U and E sections,

evaluating their behavior by a Finite Elements code. The results were compared to those obtained from

the evaluation of a model considered more complex called the “comprehensive mathematical model”.

In addition, the main theoretical concepts of the hierarchical modelling are discussed.