Shear-flexure Interaction Frame Model on Kerr-type Foundation for Analysis of Non-ductile RC Members on Foundation

In the present day, non-ductile reinforced concrete (RC) members have still appeared in certain parts of the existing old buildings and bridges. These structures always exhibit shear failure when they have been subjected to seismic loading, resulting in a complicated problem for studying or simulating the behaviors of these structures. The soil-structure interaction is a part of these problems that are of interest and motivated in the current study. Therefore, this paper proposes a novel frame model on the Kerr-type foundation with the inclusion of the shear-flexure interaction for the analysis of the non-ductile RC members resting on the foundation. The proposed model is derived from the displacement-based formulation together with the Timoshenko beam theory. The effects of shear-flexure interaction are taken into account in the proposed model through the shear constitutive law. Finally, two numerical simulations are used to assess the capability, accuracy, and efficiency of the proposed model to characterize non-ductile RC members resting on the foundation. Furthermore, these simulations demonstrate the impact of the shear-flexure interaction on the responses of non-ductile RC members on the foundation.