“…While, the SLS design of piles has not been covered as much in the literature. Recently, several curve fitting methods have been recommended to characterize uncertainties for the SLS of foundations (Misra & Roberts, 2009;Uzielli & Mayne, 2011;Huffman et al, 2015Huffman et al, , 2016Reddy & Stuedlein, 2017;Tang & Phoon, 2018a, b, c;Tang et al, 2019;Wu & Xin, 2019;Jesswein and Liu, 2020). Among the different curve fitting methods, the hyperbolic function is the most popular formula used in the studies.…”