Abstract
A Bernoulli-Euler Beam on a classical Winkler Model has been used in past soil-structure interaction analyses based on probability theory. However, reduction effects cannot be evaluated in the Winkler Model, even though the shear rigidity of soils has some reduction effects on differential settlements of ground surfaces. The Pasternak Model, therefore, is introduced as an improved and refined model in order to evaluate the shear rigidity of soils. The reduction coefficients of differential settlements are presented in a soil-structure system modelled as an infinite Timoshenko Beam on a Pasternak Model. Standard deviations of stresses and displacements of the beam are generally formulated on the basis of wave number domain analyses, and a probability-based prediction method for differential settlements of structures is proposed.
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