Composite materials are made up of two or more distinct components, each having different qualities. Because of the combination of many qualities, these unique materials have a more improved structure than the constituent parts. We regularly see composite materials being used in various engineering applications. Composite materials can be formed in various forms. Composite materials reinforced with short fibers are one of these. These materials are made by randomly or regularly inserting short fibers into a matrix. This work develops an effective eigenvalue approach for vibration analysis of nanobeams reinforced with short fibers under deformable boundary conditions. In the formulation, two elastic springs in the lateral direction are used to represent the deformable boundary conditions at the ends. Upon executing the mathematical procedures referred to as Stokes' transformation and Fourier sine series, we ultimately acquire an infinite series coefficient matrix for diverse stiff or deformable boundary conditions. To demonstrate the effectiveness of the current approach, a few precise eigenvalue solutions of the free vibration frequencies of the short-fiber-reinforced nanobeams with and without elastic spring restraints are provided. Vibration frequencies are obtained for varying fiber length, fiber diameter, beam length and stiffness of elastic springs, and the effects of these parameters are discussed. The vibration frequencies and related mode shapes are altered by the presence of elastic spring boundary conditions.