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A reliability based optimization model for reinforced concrete structures

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Author(s):
Caio Gorla Nogueira
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
Defense date:
Examining board members:
Wilson Sergio Venturini; Ana Lucia Homce de Cresce El Debs; Jose Luiz Antunes de Oliveira e Sousa
Advisor: Wilson Sergio Venturini
Abstract

In this work, a reliability based optimization model is proposed for the analysis of reinforced concrete structures, in which the reliability index is introduced as a constraint. The mechanical model allows to consider the physical non-linearity of the concrete and steel materials, as well as the geometrical non-linear effects. The mechanical model is used to find the structure limit loads. The failure scenarios for the probabilistic analysis are characterized by the concrete ultimate strains in the compressed region of the section and the steel ultimate tensile strains in the reinforcement position. The serviceability limit state is verified for the excessive displacements for the structure bars. The limit state function is build by using the response surface method, computing the reliability index and the failure probability only considering the first failure mode. The optimization and reliability processes are independents built leading two different system of equations that are coupled together to find the final solution. The material cost of the structure was adopted as the objective function to be minimized for the optimization process. The proposed coupled optimization-reliability process is employed to analyse reinforced concrete beams. The developed procedure in the context of reliabilty methods and reinforced concrete structures analysis can also be applied for reliability analysis of reinforced concrete frames (AU)