<p>Different methods are presented for the calculation of lateral displacement of a pile under a lateral load. These methods are experimental, and each of them according to simplifying assumptions which they consider, predicts the behavior of the pile with a little approximation. Different methods have been presented to achieve this goal, this paper investigates difference equation, non-dimensional, Broms, Poulos, and the direct methods, and by solving a problem using these methods, as well as using numerical analysis, the results will be compared. The software intended for numerical analysis of the problem is Plaxis 3D software.</p>