Vertical stress formula for pressure over rectangular areas

Foundations are occasionally loaded with triangular or other types of non-uniform surface load distributions. Vitone & Valsangkar (1986) presented an arithmetical solution for a linear loading case by applying the method of superposition to the specific triangular load configuration formulated by Gray (1943). The solution of the linear pressure configuration illustrated in Fig. 1 is currently used for the case of an optimally designed rectangular footing subjected to biaxial bending (Jarquio & Jarquio, 1983). However, Vitone & Valsangkar's (1986) solution is valid only when the load intensity value at one of the corners is of zero contact...