Stochastic FEM In Settlement Predictions

by Gregory B. Beacher, Assoc. Prof. of Civ. Engrg.; Massachusetts Inst. of Tech., Cambridge, Mass 02139,
Thomas S. Ingra, Geotechnical Engr.; Ardaman and Assocs., Orlando. Fla. 32809,

Serial Information: Journal of the Geotechnical Engineering Division, 1981, Vol. 107, Issue 4, Pg. 449-463

Document Type: Journal Paper


Stochastic finite element analysis is used to predict uncertainties in total and differential settlement under a large flexible footing. The results are compared with one-dimensional stochastic solutions already in the literature. Differences between the one- and two-dimensional analyses, particularly for differential settlement, are distinct. These differences seem primarily attributable to randomness in the stress field which cannot be included in one-dimensional models, and to mechanistic correlations by common dependence on the realizations of particular random variables. In principle, second-moment techniques can be extended to a broad range of analyses now performed using finite element and finite difference techniques.

Subject Headings: Stochastic processes | Finite element method | Differential settlement | Two-dimensional analysis | Uncertainty principles | Footings | Correlation

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