Abstract This paper establishes an analytical correlation between factor of safety (FS) and reliability index β values commonly used in the design of drilled shafts in sand. This is achieved through fragility analysis of unit shaft and base resistances, calculated using finite element analysis-based capacity calculation equations, for drilled shafts. Analytical fragility curves are developed for allowable unit resistances along the pile shaft and at the pile base. Developed fragility curves are used to map FS values with corresponding values of β. Such analytical FS–β correspondence is not well established in literature. Comparison of results from fragility analysis with those obtained through conventional Monte Carlo simulations reveals excellent agreement. Developed FS-β correlation is employed in reliability analysis to estimate load and resistance factors corresponding to different FS values. Evaluated load and resistance factors compare very well with AASHTO specifications.

中文翻译：

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沙中钻孔竖井脆性分析——可靠性指标与安全系数的解析对应关系

摘要 本文建立了安全系数(FS) 和可靠性指标β 值之间的分析相关性，这些值通常用于砂中钻孔轴的设计。这是通过使用基于有限元分析的容量计算方程计算的钻孔轴的单位轴和基座阻力的脆性分析来实现的。分析脆性曲线是针对沿桩身和桩基处的容许单位阻力而开发的。开发的脆性曲线用于映射 FS 值与相应的 β 值。这种分析 FS-β 对应关系在文献中没有很好地建立。将脆性分析的结果与通过传统蒙特卡罗模拟获得的结果进行比较，显示出极好的一致性。在可靠性分析中采用开发的 FS-β 相关性来估计对应于不同 FS 值的负载和阻力系数。评估的负载和阻力系数与 AASHTO 规范相比非常好。