The paper presents a probabilistic study of the hull girder bending stresses using an analytical approach verified by the Monte Carlo simulation method. Comparison of these two approaches was performed for the calculations of the still water, wave-induced and total bending moments and the deck stresses. The analytical methods are simple for application, especially when the application of Monte Carlo simulation requires an excessively long computational time, especially in the asymptotic tails of the probabilistic distributions of loads and stresses that are most important for assessing the hull structure reliability.

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