Due to the many advantages of FRP decks, such as lightweight and high strength, recently, using FRP decks as building deck panels is considered an alternative choice to traditional decks. Accordingly, there is an increasing need for an analysis tool for engineering and academic applications. Finite element is an accurate and reliable method for analyzing FRP decks. However, high computational cost and modeling difficulty somewhat limit its application. To overcome this shortcoming, this study presents an integrated, easy-to-use, computationally-efficient, and yet rather accurate analysis method for FRP decks. This integrated method was implemented in a computer code and can be easily used to analyze building FRP deck panels. To evaluate the deck's applicability as a building floor panel system, some requirements are needed to be met, including maximum allowable elastic deflection, local stability of components, vibration frequency, and ductility of the flooring system. The proposed method uses the Rayleigh-Ritz method to calculate these requirements. Using three different FRP deck examples, it was shown that the proposed method is generic and capable of analyzing various forms of the FRP deck panels, including all-FRP and hybrid decks made of two or more different materials.