This paper formulates a mathematical model using the extrapolation of load-settlement curves with a rational function for analyzing the capacity of piles obtained from the static load test (SLT). In preliminary analyses, the extrapolation was based on the application of a number of mathematical functions that were gradually eliminated by iterative selection and filtering. The solution was obtained by extrapolation with a rational function. Using a rational function in the extrapolation of the load-settlement curve, a clearly identifiable part is obtained in which the asymptote is vertical, indicating the reached limit state of capacity in the soil and/or in the pile. The probabilistic analysis showed that no unique value for pile capacity was obtained, and that the spectrum of capacity values depends on the probability of occurrence of the corresponding event.

本文使用具有合理功能的荷载-沉降曲线的外推公式来建立数学模型，以分析通过静载荷试验（SLT）获得的桩的承载力。在初步分析中，外推是基于许多数学函数的应用，这些函数通过迭代选择和滤波逐渐消除。通过有理函数外推获得解。通过在荷载-沉降曲线的外推中使用有理函数，可以得到一个清晰可辨的零件，其中渐近线是垂直的，表明在土壤和/或桩中达到的极限容量状态。概率分析表明，没有获得桩容量的唯一值，