doi:10.3850/978-981-08-7920-4_S2-G07-cd

ABSTRACT

This paper illustrates the derivation of the bearing capacity factor for cohesion-less sand or rock. The derivation utilizes the wedge theory of solids and the equilibrium conditions required to determine the bearing capacity factor for varying angle of internal friction of sand or rock. The failure wedges are determined from the Coulomb shear formula when the cohesion is zero. The wedges are prevented from sliding by frictional forces as a function of tan ø. The bearing capacity factor is found to be just a function of the angle ø. The bearing capacity equations are then derived using this factor with the dimension of the footing, unit weight of sand or rock, surcharge load and shape of the bearing pressure. Formulas for uniform, trapezoidal and triangular distribution of pressure are listed in determining the allowable external vertical loads which can be supported by sand or rock foundation without exceeding its bearing capacity.

Keywords: Bearing capacity factor, Cohesion-less sand, Frictional forces, Wedge theory.

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