Simple correction factors are given for improving the second-order reliability estimates. The correction factors are applied to Hohenbichler and Rackwitz's formula. The factors are obtained based on the main curvature of the limit state function at the design point. The proposed approximations can also be applied in the point-fitting approach for second-order reliability analysis. The accuracy of the proposed approximations is illustrated through examples.
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Han Hong (1999) studied this question.
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