Two numerical examples are presented for the analysis of shallow foundation systems. The method is verified against known solutions for Hertzian contact between parallel cylinders. A simple, efficient, and rapidly convergent algorithm is developed which uses these solutions as analytic elements and provides a solution approach to the general boundary value problem. A small number of simple expressions are developed, which provide a general solution for linearly-varying traction over arbitrary regions on the boundary. It is shown that the displacement fields for the plane strain problem are not well defined. Analytical solutions of the stress and strain tensors are obtained by taking the limit from known three-dimensional solutions. The classical Neumann boundary value problem of an isotropic, homogeneous elastic half-plane under plane strain conditions is readdressed as the limiting case of the fully three-dimensional problem. A parametric finite element analysis was, finally, carried out for supporting the main findings. The very low “effectiveness” index values obtained gave rise to investigating the possible sources of error. This consists of the mean and the coefficient of variation of the calculated over the measured settlement ratio values and the percentage of the cases for which the calculated settlement results greater than or equal to the measured settlement. In this respect, an integrated index is suggested for the quantification of the “effectiveness” of the various settlement analysis methods (including the Schmertmann’s one). In addition, comparison between measured and calculated settlement values of structures or full-size test footings (data taken from independent studies) indicates that Schmertmann’s method is a poor prediction tool. As shown, Schmertmann’s method has been proposed without proper and adequate documentation, whilst it presents serious weaknesses related to its calibration and the values adopted for various factors used. The method in question is among the most popular worldwide, whilst, it is included in various important design codes worldwide (e.g. This paper offers an in-depth review of Schmertmann’s strain influence factor method for immediate settlement analysis.
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