Reinforced concrete (RC) thin-walled hollow piers often exhibit prominent flexure-shear effect, especially when subjected to pulse-like earthquakes. To predict the axial-flexure-shear behaviors of such hollow piers, an innovative approach named Axial-Flexure-Shear-Interaction-Membrane-Beam-Truss-Element-Model (AFSI-MBTEM) is developed. The interaction between flexure and shear behaviors is analyzed based on the multi-dimensional material and the multiple types of elements. The bi-scalar damage-plasticity concrete model is used in membrane elements to consider the compression-softening effect and the degradations of strength and stiffness. The Concrete01 and ReinforcingSteel are adopted as uniaxial materials for beam-column elements and truss elements. The numerical implementation of the AFSI-MBTEM for rectangular and circular RC hollow piers is illustrated. A series of RC thin-walled hollow piers with different failure modes under cyclic loading are collected for the validation. The predictions against experimental results indicate that the AFSI-MBTEM captures the cyclic responses of RC thin-walled hollow piers with excellent accuracy, convergence, and efficiency. However, the overestimations of yield plateau and energy dissipation along with the sudden drops at large ductility are observed in simulations by the flexure model. The dynamic responses of the full-scale hollow piers from 223 pulse-like motions further demonstrate the superiority of the AFSI-MBTEM. Meanwhile, the flexure model underestimates their dynamic responses due to the enhanced energy dissipation and the neglect of shear influence.