Abstract
In this paper, we first set up a mathematical model of a single pile subjected to axial load with initial horizontal displacement in elastic soil, then obtained critical loads and expressed them in nondimensional parameters. Based on the results obtained from parametric study, we found that the critical load decreased with the increment of the initial displacement, and its effect of it was very small, but, the effect of the reduction of soil spring coefficient due to liquefaction on the decrease of the critical load was significant.