Ther are various methods for analyzing various types of structures, among which the finite element method can be mentioned as one of the most widely used numerical methods in civil engineering. This research deals with the analysis of beams with various boundary conditions on an elastic Winkler foundation. For this purpose, three new bending elements are proposed by the authors for the first time. These elements, unlike the conventional element with two-node and four degrees of freedom that is common in the analysis of these structures, all have six degrees of freedom and have two, three, and four nodes, respectively. After introducing the governing boundary value problem, all three proposed elements are formulated, and their interpolating functions and stiffness matrices will be calculated. A valuable feature of these three elements is the lack of need for meshing and, as a result, the use of the assembly technique to find the total stiffness matrix. Considering the power of the proposed elements, the problem will be solved by using only one element. Three numerical examples are examined to study the efficiency of these elements and the deflection, slope, bending moment and shear force values of beams at specific points are compared using the conventional element, the three proposed elements and the exact solution. The results indicate that all three proposed elements have excellent accuracy in calculating deflection, but the first proposed element shows better accuracy in calculating internal forces. Therefore, the use of these components will significantly reduce the computational cost in structural analysis.