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Probability analysis is used to calculate the safety of foundations for a number of loads and strength distributions. The applied load and soil strength are considered to be random variables. The various factors that affect the probability of safety are examined. The appropriate probability function is determined empirically by fitting to the experimental data. This method represents a first approximation and may be considered as a step toward the optimum design of structures.
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Wu et al. (1967) studied this question.
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