Composite materials are widely used in a wide range of industries, including aerospace, marine, vehicle, manufacturing, and sports. They are utilized because of their outstanding mechanical qualities, low density, and ease of producing components of any shape and size ranging from very small to very large. In the present study, a fiber reinforced angle ply laminated composite beam analysis performance is evaluated by computational method (MATLAB R2015a) and finite element analysis (MSC. PATRAN/NASTRAN). The analysis is approximated to one dimension angle ply laminated beam using classical beam theory. Three different method approximation like General Theory, Vinson and Sierakowski approximation, and Rios and Chan approximation are considered in the MATLAB 2015a programming code. Results of finite element static analysis of two different angle ply laminate composite beams [302/602] and [452/452] with simply and fixed supported boundary conditions have similar agreement as calculated in MATLAB 2015a for Vinson and Sierakowski and Rios and Chan approximations than General Theory. Similarly, results of finite element dynamic analysis (non-dimensional frequency) of angle ply laminate beams with simply supported boundary conditions have similar agreement with MATLAB 2015a for Vinson and Sierakowski and Rios and Chan approximations than General Theory. In addition, the results of static and dynamic analysis of a composite beam with different angle plies ([302/602], [452/452]) also showed that [302/602] has more stiffness than [452/452].