Abstract

Postbuckling resistance of a square compressed plate is studied as a function of random material properties, geometry and initial deflection amplitude. A stochastic form of the reduction factor of the plate is introduced as a nondimensional resistance function. Solving a related FORM-based inverse reliability problem, fractiles of the reduction factor are determined. The coefficient of variation and coefficient of skewness are calculated by the fractiles estimates of the mean value. The calculations are employed to study the relevance of the random arguments. Both the level of the characteristic value and the type of probability distribution of initial deflection amplitude upon the plate resistance are studied. The degradation of design and nominal resistances due to initial deflection are shown and compared. Having included the third moment of resistance, some conclusions concerning applications of the first-order second-moment method in structural codes are drawn.

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