Concrete is being extensively used in the construction industry. Though concrete has many advantages, it is brittle and therefore, a cause of concern in structures. Fracture is a problem that society has faced ever since the application of engineering techniques to structures. Recent advances in material technology further added more complexity to the problem. The behaviour of concrete can be understood by studying its fracture properties including crack propagation, size effect, work of fracture, Fracture energy (G_F) etc. Concepts of Linear Elastic Fracture Mechanics (LEFM) have been used to study the size effects of concrete. In this study, size effect law is presented. The fracture energy was predicted using Size effect law and Reunion Internationale des Laboratories et Experts des Materiaux, Systemes de construction et ourvrages (RILEM) recommendations on three-point bend (TPB) specimen. Size effect on the Strength of concrete beam has been observed. The parameter characteristic length (L_ch) was obtained along with G_F.