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Revista IBRACON de Estruturas e Materiais

On-line version ISSN 1983-4195

Rev. IBRACON Estrut. Mater. vol.4 no.2 São Paulo June 2011

http://dx.doi.org/10.1590/S1983-41952011000200002 

Fully probabilistic design – the way for optimizing of concrete structures

 

Diseño probabilístico completo – como optimalizar las estructuras de hormigón

 

 

I. LaníkováI; P. ŠtěpánekII; P. ŠimunekIII; D. HorákIV; M. ZlámalV

IBrno University of Technology, Faculty of Civil Engineering, lanikova.i@fce.vutbr.cz, Veveří 95, 602 00 Brno, Czech Republic
IIBrno University of Technology, Faculty of Civil Engineering, stepanek.p@fce.vutbr.cz, Veveří 95, 602 00 Brno, Czech Republic
IIIBrno University of Technology, Faculty of Civil Engineering, simunek.p@fce.vutbr.cz, Veveří 95, 602 00 Brno, Czech Republic
IVBrno University of Technology, Faculty of Civil Engineering, horak.d@fce.vutbr.cz, Veveří 95, 602 00 Brno, Czech Republic
VBrno University of Technology, Faculty of Civil Engineering, zlamal.m@fce.vutbr.cz, Veveří 95, 602 00 Brno, Czech Republic

 

 


ABSTRACT

Some standards for the design of concrete structures (e.g. EC2 and the original ČSN 73 1201-86) allow a structure to be designed by several methods. This contribution documents the fact that even if a structure does not comply with the partial reliability factor method, according to EC2, it can satisfy the conditions during the application of the fully probabilistic approach when using the same standard. From an example of the reliability of a prestressed spun concrete pole designed by the partial factor method and fully probabilistic approach according to the Eurocode it is evident that an expert should apply a more precise (though unfortunately more complicated) method in the limiting cases. The Monte Carlo method, modified by the Latin Hypercube Sampling (LHS) method, has been used for the calculation of reliability. Ultimate and serviceability limit states were checked for the partial factor method and fully probabilistic design. As a result of fully probabilistic design it is possible to obtain a more efficient design for a structure.

Keywords: probabilistic design, partial reliability factor, concrete structures design.


RESUMO

Algúnos estándares para el diseño de estructuras de hormigón (p. ej. EC2 y la original ČSN 73 1201-86) permiten que las estructuras sean diseñadas utilizando diferentes métodos. Esta contribución trata casos en los cuales una estructura dada que incluso no obedece el método de índice de confiabilidad parcial, de acuerdo a EC2, puede satisfacer las condiciones requeridas durante la aplicación del método probabilístico cuando se usa el mismo estándar. Tomado de una muestra de la confiabilidad de un hormigón pretensado hilado diseňado con la ayuda del método de índice parcial y por el método probabilistico de acuerdo al código Euro (Eurocode) es evidente que un experto debe aplicar un método más preciso (pero desafortunadamente más complicado) en los casos limitantes. El método Monte Carlo modificado por el método (LHS) Latin Hybercube Sampling ha sido utilizado para efectuar el cálculo de confiabilidad. Los límites extremos y de utilidad fueron comprobados para el método de índice parcial y diseño probabilístico completo. Como resultado del método de diseño probabilístico es posible obtener un diseño más eficiente para una estructura.

Palavras-chave: diseño probabilístico, índice de confiabilidad parcial, diseño de estructuras de hormigón.


 

 

Texto completo apenas disponivel em PDF.

Full text available only in PDF format.

 

 

REFERENCES

[01] ČSN EN 1990: 2004 Eurocode: Basis of structural design, ČNI 2004, (in Czech).         [ Links ]

[02] ISO 2394:1998 (E) General principles on reliability for structures.         [ Links ]

[03] ČSN EN 1992-1-1: 2006 Eurocode 2: Design of concrete structures – Part 1-1: General rules and rules for buildings, ČNI 2006, (in Czech).         [ Links ]

[04] Karpíšek, Z.: Stochastic modelling of reliability. Proceedings of conference Celostátní seminar Analýza dat 2005/II. Lázně Bohdaneč 2005, pp. 75-98, (in Czech).         [ Links ]

[05] Šejnoha, J., Blažek, V.: Principles of engineering conception of reliability and its evaluation, Proceedings of VI. Konference Spolehlivost konstrukcí, 2005, (in Czech).         [ Links ]

[06] Holický, M.: Design of building structures on the basis of acceptable risks, Proceedings of I. ročník celostátní konference Spolehlivost konstrukcí, 2000, Ostrava, (in Czech).         [ Links ]

[07] Popela, P.; Vlk, M. Bayesian Approach and Other Updating Techniques, Chapter 16. In Marek, P.-Brozzetti,J.-Guštar,M.-Tikalsky,P.: Probabilistic Assessment of Structures using Monte Carlo Simulation, 2nd edition. ITAM. Semily: TERECO, GLOS, 2003. pp. 404-422.         [ Links ]

[08] Popela, P. Numerical Techniques and Available Software, Chapter 8 in Part II. In J. Dupačová, J. Hurt, J. Štěpán: Stochastic Modeling in Economics and Finance. Applied Optimization. Dordrecht/Boston/London: Kluwer Academic Publishers, 2002. pp. 206-227.         [ Links ]

[09] Žampachová E., Popela P., Mrázek M. Optimum beam design via stochastic programming. Kybernetika, vol. 46, pp. 575-586, 2010.         [ Links ]

[10] Laníková, I., Štěpánek, P.: Optimised design of the spun concrete poles -parametric studies, Proceedings of conference 14. Betonářské dny 2007, ČBS Servis, 2007, pp. 421-426, (in Czech).         [ Links ]

[11] Laníková, I., Štěpánek, P.: Optimalised design of RC prestressed and combined poles from spun concrete according to standard ČSN EN 1992-1-1, Proceedings of conference 13. Betonářské dny 2006, ČBS Servis, 2006, pp. 256-261 (in Czech).         [ Links ]

[12] JCSS: Probability model code, http://www.jcss.ethz.ch        [ Links ]

[13] Novák, D., Vořechovský, M., Rusina, R.: FReET v. 1.0 – program documentation. User΄s and Theory Guides. Brno, Červenka Consulting 2007, http://www.freet.cz        [ Links ]

 

 

Received: 26 Nov 2010
Accepted: 27 Mar 2011
Available Online: 10 Jun 2011

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