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Earthquakes and Structures
  Volume 14, Number 5, May 2018 , pages 437-447

Application of first-order reliability method in seismic loss assessment of structures with Endurance Time analysis
Mohammad Ch. Basim, Homayoon E. Estekanchi and Mojtaba Mahsuli

    Computational cost is one of the major obstacles for detailed risk analysis of structures. This paper puts forward a methodology for efficient probabilistic seismic loss assessment of structures using the Endurance Time (ET) analysis and the first-order reliability method (FORM). The ET analysis efficiently yields the structural responses for a continuous range of intensities through a single response-history analysis. Taking advantage of this property of ET, FORM is employed to estimate the annual rate of exceedance for the loss components. The proposed approach is an amalgamation of two analysis approaches, ET and FORM, that significantly lower the computational costs. This makes it possible to evaluate the seismic risk of complex systems. The probability distribution of losses due to the structural and non-structural damage as well as injuries and fatalities of a prototype structure are estimated using the proposed methodology. This methodology is an alternative to the prevalent risk analysis framework of the total probability theorem. Hence, the risk estimates of the proposed approach are compared with those from the total probability theorem as a benchmark. The results indicate a satisfactory agreement between the two methods while a significantly lower computational demand for the proposed approach.
Key Words
    seismic risk; loss; life-cycle cost; endurance time method; reliability method; FORM
Mohammad Ch. Basim: Department of Civil Engineering, Sahand University of Technology, Tabriz, Iran
Homayoon E. Estekanchi and Mojtaba Mahsuli: Department of Civil Engineering, Sharif University of Technology, Tehran, Iran

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