Trust plays a central role for efficient and secure interactions on the Semantic Web. Nowadays, more and more research has focused on this topic. In this paper, we introduce RCSW, a Reputation-Chain trust model for the Semantic Web. We illustrate the basic definitions and mechanisms of RCSW and present the algorithm to calculate trust ratings through the chain of the trust network. RCSW incorporates pairwise trust values and reliable factors of acquaintances and constructs an edge-weighted graph to calculate trust ratings. We also define classes of trust functions to allow users to individualize their trust calculation. Our proposed model can deal with trust management effectively and can quickly adapt to the changing environment.