# Reliability Analysis and Failure Probability Using First-Order Reliability Method

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The main goal of structural reliability analysis is to compute the probability of failure of an event, which may be described as an individual component or a larger system. In the former case, it is usual to define the component in terms of a limit-state function, LSF. LSFs are functions of random variables and separate the failure domain from the safe domain. Thus, the probability of failure results from the integration of the joint multivariate probability density function (PDF) over the failure domain. Defining the LSF and the multivariate PDF and performing the integrations are challenging tasks.

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Contributed by: Diego M. Oviedo Salcedo (October 2015)

Universidad Pontificia Bolivariana - Bucaramanga

Open content licensed under CC BY-NC-SA

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