In this study, two deflection functions due to flexure and shear have been obtained for the global form of composite materials. Two different composite materials are selected for comparison of these deflection functions. These composites are: polymer matrix composite simply supported beam, reinforced by unidirectional fibers; and thermoplastic simply supported beam, reinforced by woven Cr-Ni steel fibers. In accordance with these different material properties, analytical and numerical solutions have been carried out. For 0, 30, 45, 60, and 90 fiber orientation angles, static and dynamic behavior of the two different composite materials are examined. Numerical solutions are given as graphical forms. In addition to modal analysis, two different composite materials have been realized. Natural frequencies and vibration modes are given as graphical forms. ANSYS and MATLAB software are used for numerical analysis of the different composite materials.