THE IMPACT OF THE PROBABILITY DISTRIBUTION FUNCTION FOR THE RANDOM VARIABLES COMPRESSIVE STRENGTH OF CONCRETE AND YIELD STRESS OF STEEL IN THE RELIABILITY ANALYSE
DOI:
https://doi.org/10.26512/ripe.v2i23.21034Keywords:
Index of reliability. Probability of failure. Random variables.Abstract
The aim of this study is to evaluate the variation of the index of reliability sist of a reinforced concrete beam, strengthened with Carbon Fiber Reinforced Polymer ”“ CFRP, considering two different probability distribution functions ”“ PDF for the random variables ”“ concrete compressive strength c f and steel yield stress s f , and two different configurations of reinforcement with CFRP. In the first analyze the sist is evaluated twice, initially using the Normal PDF for the cf and the s f , as considered by the Brazilian code ”“ NBR 6118:2014, afterward the same index of reliability is obtained again, this time considering the Lognormal PDF for both materials, as considered by the Joint Committee on Structural Safety ”“ JCSS. The beam is strengthened with longitudinal CFRP reinforcement Afl and transversal CFRP reinforcement Aft. In the second analyze the efficiency of the new reinforcement is evaluated. This time the beam is strengthened with either Afl or Aft , and the probability distribution functions PDF for the concrete and steel are considered to be Lognormal For the two sets of reliability analyses the beam is subjected to a torsional moment, and the methodology and reinforcement configurations are the same developed by Silva Filho (2007).
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Associação Brasileira de Normas Técnicas. Projeto de Estrutura de Concreto ”“ Procedimentos: NBR 6118. Rio de Janeiro, Brasil, 2014.
_______ Ações e Seguranças nas Estruturas ”“ Procedimento: NBR 8681. Rio de Janeiro, Brasil, 2014.
Haldar, A; Mahadevan, S. Reliability Assessment Using Stochastic Finite Element Analysis.John Wiley & Sons. 2000.
_______ Probability, Reliability and Statistical Methods in Engineering Design. John Wiley & Sons. 2000.
Hasofer, A. M., and Lind, N. C., Exact and Invariant Second Moment Code Format, Journal of the Engineering Mechanics Division, ASCE, vol. 100, No EM1, pp 111-121, 1974.
Hart, G. C. Uncertainty Analysis, Loads, and Safety in Structural Engineering.Prentice ”“ Hall, New Jersey, 1982.
Joint Committee on Structural Safety. JCSS: Probabilistic Model Code. 2001.
Lopes, M. T. A. Análise de Confiabilidade de Estruturas Aplicada ao Projeto de Reforço à Força Cortante de Vigas em Concreto Armado com Compósito de Fibras de Carbono.Tese de doutorado, Pontifícia Universidade Católica do Rio de Janeiro. 2007.
Melchers, R. E. Structural Reliability Analysis and Prediction.New York, John Wiley & Sons. 2002.
Paliga, C. M.; Campos Filho, A.; Real, M. V.; Diniz, S. M. C. Métodos de Análise de Confiabilidade Aplicado a Viga de Concreto Armado Recuperado com PRFC, Teoria e Prática na Engenharia Civil, n.17, p.57-66, Maio, 2011.
Rackwitz, R.; Fiessler, B., Structural Reliability under Random Load Sequences, Computers and Structures, vol. 9, No 5, pp 484-494, 1978.
Silva Filho, J. J. H. Reforço à Torção de Vigas de Concreto Armado com Compósito de Fibras de Carbono. Tese de doutorado, Pontifícia Universidade Católica do Rio de Janeiro. 2007.
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