Lateral bearing capacity of large-diameter pile foundation based on hardening and softening models of side resistance

From the perspective of the vertical shaft resistance producing significant contribution to the lateral bearing capacity of large-diameter pile foundation, the numerical and analytical solutions are firstly established for pile shaft resisting moment per unit length M_s induced by hardening and softening τ-s curve models of pile side friction, respectively. Furthermore, the analytical solutions for transfer matrix coefficients with consideration of the influences of shaft resisting moment are also obtained on the basis of the transfer matrix method. Finally, comparative analysis of influence factors and project case are performed, and the comparistive results verify the correctness of the proposed constitutive models for shaft resisting moment and transfer matrix solution. Moreover, for the hardening model for shaft resistance, the shaft resisting moment M_s increases with the increasing pile diameter d, ratio of shear stiffness coefficients k₂/k₁ and decreasing elastic limit displacement s_eu. Meanwhile, for the softening model for shaft resistance, the shaft resisting moment M_s increases with the increase of pile diameter d, parameters β (=s_u2/s_eu) and α_res (=τ_u,res/τ_u,eq).