Development of Statistical Model to Predict the Shear Failure of Soil beneath Shallow Foundation

Abstract

A statistical model of shear failure of soil beneath modelled shallow foundations in A-7-5 and A-7-6 clay soils was developed in this study. From the compaction result, the MDD is between 1.60 kg/m2 and 1.90 kg/m2 and OMC is between 19% and 26%. The shear failure parameters (cohesion, C and angle of internal friction, ∅) were obtained from Mohr circle failure envelope using triaxial compression test results. The cohesion obtained ranged between 36.6 kN/m2 and 59.6 kN/m2, while the angle of internal friction ranged between 5.80 and 16.90. Shear failure models were obtained using MATLAB and SPSS software. A general model f(x, y) = x +b*tan(y), with b = - 0.214 (-1.548, 1.112), R2 = – 1.011, standard error = 4535; and τ = 0.020 +1.540∅ +0.994C, with correlation coefficient, R2 = 0.999 and standard error of 0.053, were obtained using MATLAB and SPSS softwares respectively