In the last two decades, civil engineering and construction industry have been using innovative technologies. One of these technologies is the Fiber Reinforced Polymers. The topic has been studied by many researchers and professional organizations around the world to enhance the application of the FRP in the industry. However, in order to use as the substitute of traditional materials such as steel, making higher performance, longer lasting, higher strength, extending life are still questionable, also the calculation methods with current building codes are in need to inform the audience. In my thesis, flexural and shear design of the concrete beams using Fiber Reinforced Polymers is discussed. This work compares the flexural design methods according to the American Concrete Institute (ACI) and Chinese CECS 146-2003 guidelines, and shear design methods according to the American Concrete Institute (ACI) and Canadian ISIS code (ISIS-M03-07). Also the research discusses the types and FRP composites' properties that are available, and examines methods to calculate typical reinforced concrete beams. To highlight analytical and theoretical design guidelines on the shear contribution as well as the flexural contribution of the Fiber Reinforced Polymer to Reinforced Concrete beams.