“…Thus, several studies have been advocated to the study of soil-pile interaction problems under lateral and axial loads by using simplifying or complex approaches (Taiebat and Carter, 2001, Gu et al, 2016,Khoadir and Mohti, 2014, Chatterjee et al, 2015. Other research groups have focused on the development of simplified expressions for evaluating pile displacements and bending moments along the pile axis (Khodair and Mohti, 2014) by using the subgrade reaction approach (Valsamis 2008, Valsamis et al 2012, Chaloulos et al 2013b. In this approach, the pile is treated as an elastic laterally loaded beam and the soil is idealized as a series of springs.…”