It may not be possible to employ Fadum's method for irregularly shaped foundations and a numerical solution is then only possible by the use of Boussinesq's coefficients, K, and the principle of superposition.
An alternative method that removes the numerical work is to utilise the influence charts devised by Newmark in 1942 (Fig. 4.8).
It can be shown that, at a point at a depth z vertically below the edge of a uniformly loaded circular foundation of radius r, the vertical stress is given by the expression:
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