Determinación de la probabilidad de daño estructural por asentamientos diferenciales de las viviendas de la ciudadela Solanda en Quito usando métodos estocásticos

Abstract

The present study has the purpose of determining the probability of failure due to differential settlements for 4 types of dwellings (DT-BT and A3-C3) representative of Solanda Sector-1, Quito. The established structures are subjected to a probabilistic model with non-linear characteristics, which allows to know a behavior more adjusted to reality. To convert from the traditional deterministic model to a probabilistic one, the Monte Carlo Simulation Method was required for which the following random input variables were considered: Concrete Compression Resistance, Longitudinal Steel Creep Strength, Transversal Steel Creep Strength, Sections of Columns and Number of settled axes, whose probability distribution was selected based on previous studies found in the literature. In order to reach convergence in the method, 10,000 simulations of each type proposed were carried out. After a statistical analysis, the information obtained generates as a result cumulative distribution functions (CDF) where it is possible to know the probability that houses have to overcome a limit state due to a given differential settlement or angular distortion.