To calculate the ultimate bearing capacity at the tip of a pile in inclined and highly fractured rocks (GSI $\le$ 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.

计算倾斜和高度破碎岩石中桩尖的极限承载力 ( GSI $\le$25), 指数“$\mathrm{一个}$”被纳入解决方案中，以概括原始 Hoek-Brown 失效准则的公式。该指数的值接近 0.5，表示岩体具有良好的地质力学质量，而 GSI 值明显高于 25。开发了一种分析公式，可以适当理解地质力学行为。因此，不同的指数“$\mathrm{一个}$”和抗拉强度系数会导致桩身出现不同的破坏模式。这里介绍的是求解承载力的数学方程式，以及用于根据岩石倾斜角和指数“ a ”确定承载力系数的图表。此外，还证明了为了在桩尖获得相同的极限承载力，随着改进的 Hoek-Brown指数a的增加，桩埋入比随着速率的增加而增加。通过本研究表明，改进的Hoek-Brown准则可以有效地应用于岩体的高度破碎介质，以估计斜坡桩的承载力。