In this study, electromechanical behavior of piezoelectric smart curved beam with variable radius of curvature is investigated using Finite Element Method. Firstly, a background of beam theories is provided as well as a discussion on the history of piezoelectric materials and the development of smart beams and smart curved beams. The deformations of curved beams, the differential equations for in-plane bending of curved beam with and without piezoelectric patch are presented. Finite element modeling of smart curved beam is done using ANSYS. The mesh size correctness and numerical accuracy is controlled by an equivalent straight cantilever beam having the same length, cross-section and loaded from its tip with the same amount of force that will be applied to the curved beam model. Tip displacement comparisons are done using an analytical and finite elements approach. The model is verified by comparing the analytical results of piezoelectric constitutive equations with results of finite elements method for a rectangular prism shaped piezoelectric patch. After the verification is complete, the consequent tip displacements on x direction and generated electric fields are observed after the loads of different magnitudes applied to the tip of piezoelectric curved beam. Finally, results are discussed.