A New Second-Order Approximate Reliability Method Based on Hyper-Parabolic Failure Surfaces

  • G. Q. Cai
  • I. Elishakoff
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The first-order and second-order methods for structural reliability analysis are reviewed with attendant new interpretation for the first-order method and a new approximate result for the second-order method. Exact and approximate solutions for the example case - reliability of a shaft subject to random bending moments and a random torque are obtained. The comparison of the approximate results with exact ones shows that the first-order approximation is only applicable to the case where the failure surface is “far” from the origin, while the suggested second-order approximation yields quite accurate results even when the failure surface is “close” to the origin.


structural reliability exact solution first and second-order approximations 


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Copyright information

© Springer-Verlag, Berlin Heidelberg 1994

Authors and Affiliations

  • G. Q. Cai
    • 1
  • I. Elishakoff
    • 2
  1. 1.Center for Applied Stochastics ResearchFlorida Atlantic UniversityBoca RatonUSA
  2. 2.Center for Applied Stochastics Research and Department of Mechanical EngineeringFlorida Atlantic UniversityBoca RatonUSA

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