To calculate the ultimate bearing capacity at the tip of a pile in inclined and highly fractured rocks (GSI≤ 25), the exponent “a” is incorporated in the resolution approach to generalize the formulation of the original Hoek-Brown failure criterion. This exponent, with values close to 0.5 for good geomechanical qualities of the rock mass, has significantly higher values for GSI less than 25. An analytical formulation was developed that allows a suitable understanding of the geomechanical behavior. Thus, different exponent “a” and tensile strength coefficient will lead to the development of different failure modes of piles. Presented here are the mathematical equations obtained to resolve the bearing capacity and the charts used to determine the bearing capacity factor based on the slope angle of the rock and the exponent “a”. In addition, it is demonstrated that to get the same ultimate bearing capacity at the pile tip, the pile embedment ratio increased with an increasing rate as the exponent a of modified Hoek-Brown increased. Through this research it is shown that the modified Hoek-Brown criterion can be applied to highly fractured media of rock mass efficiently to estimate the bearing capacity of piles in inclined slope.
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