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Reliability Method to Solve Mechanical Problems with Implicit Limit States

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Book cover Reliability and Optimization of Structural Systems ’91

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 76))

Abstract

Formulation of algorithms necessary to calculate Hasofer and Lind reliability index β HL supposes that the limit state function of the structural elements, G(X) = 0, and its derivatives, \( \frac{{\partial G}}{{\partial X}} \), are available under an explicit analytic form in the space of the random variables X i .

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References

  • THOFT-CHRISTENSEN, P. and MUROTSU, Y. — Application of Structural Systems Reliability. Springer-Verlag, Berlin, Heidelberg, 1986.

    Google Scholar 

  • LEMAIRE M., CHUNG FOOK MUN J.F., MOHAMED MOHAMED A., MUZEAU J.P. — Model of negative strain-hardening to evaluate the reliability of beam-columns. 6th International Conference on Applications of Statistics and Probability in Civil Engineering, CERRA-ICASP ‘6, Mexico, june 1991.

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  • MUZEAU J.P. — Reliability of Steel Columns Subjected to Buckling. Comparison of International Standard Codes of Design. 5thInternational Conference on Structural Reliability, ICOSSAR’89, San-Fransisco

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  • EL-TAWIL K., MUZEAU J.P., LEMAIRE M. — Etude comparative et vérification fiabiliste de quelques règlements internationaux en Construction Métallique. Rapport of Task 1.1 of Project EPSOM 1990 (CLAROM), Laboratory of Civil Engineering (Clermont-Ferrand), to be published.

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  • MUZEAU, J.P. — Analyse et comparaison de codes de calcul semi-probabilistes de dimensionneinent des ouvrages en construction métallique. Rapport of Task 1.1 Project EPSOM 1989 (CLAROM), Laboratory of Civil Engineering (Clermont-Ferrand), july 1990.

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© 1992 International Federation for Information Processing, Geneva, Switzerland

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El-Tawil, K., Lemaire, M., Muzeau, JP. (1992). Reliability Method to Solve Mechanical Problems with Implicit Limit States. In: Rackwitz, R., Thoft-Christensen, P. (eds) Reliability and Optimization of Structural Systems ’91. Lecture Notes in Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84753-0_12

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  • DOI: https://doi.org/10.1007/978-3-642-84753-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55403-5

  • Online ISBN: 978-3-642-84753-0

  • eBook Packages: Springer Book Archive

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