At present, numerical methods are mainly used in the calculation and consideration on lateral displacement of horizontal bearing pile under the non-linear relation of pile side soil mass, while the analytical methods are relatively seldom used. Based on the constitutive relation between Winkler foundation model and D–P model, this article deduces on the pile under the horizontal load in the layered soil to reach the calculation formula for maximum horizontal displacement, bending moment and loading of the pile shaft. Meanwhile, ANSYS software is used to re-calculate the calculation model and compare the calculations from the formula with numerical results. It is indicated by the analysis that the analytical results are similar to numerical results. The formula may be used to simplify the calculation of lateral displacement of horizontal bearing pile in engineering.
