The exclusion of bearings and a rigid connection between the deck and abutment are the two characteristics of an integral abutment bridge (IAB). The absence of bearings directly translates the longitudinal cyclic displacements produced in the deck by temperature fluctuations into the pile assembly on which it rests. For the proper functioning of an IAB, the H-piles are placed underneath the abutments and designed to have inherent ductility displaying a stable hysteric response. This study aims to numerically model the A36 grade steel H-piles using the nonlinear isotropic/kinematic hardening formulation. In this study, the nonlinear kinematic hardening is incorporated using the half cycle input technique for capturing the low cycle fatigue induced in flanges of H-pile subjected to combined loading. The nonlinear kinematic hardening parameters are derived using the first half cycle of unidirectional stress–strain data sets extracted from literature for A36 grade steel. The lateral reistance-displacement hystsereis acquired from the proposed methodology was found to be in good aggrement witht that of the experimental data.