Static analysis of laterally loaded piles with complementary functions method

The work consists of one with a length of 25 m and a length of 30 m, with a lateral load of 250 kN at a distance of 2 m from the soil surface and 500 KN.it was performed using the complementary functions method in two groups with free-end substrates exposed to a moment of M.The other has fixed-end piles in lengths of 20 m and 25 m, which are subjected to 250 lateral loads. In this study, the complementary functions method was used for the static analysis of laterally loaded piles. the main task of the piles used on the ground is to transfer the loads affecting the surface foundations to the harder layers from the structure installed on them, so that they can transfer the loads safely and smoothly. The reaction of the substrates to the loads and the effect on the soil were obtained through the program used and interacted with, and the results are represented by a graph showing how the substrates react to the force of displacement, rotation, bending moment and shear force. The results obtained were compared with previous studies under the same dimensions and loads.