Anchoring devices and systems are disclosed for use with elongated reinforcement members such as FRP, SRP, metallic bars, or cables. Such devices and systems impart a compressive stress into a static structure having the elongated reinforcement member running there through or there along. An anchoring system can include an anchor block that includes a front end surface for contacting the static structure, an axial bore for receiving the elongated reinforcement member, and clamping members that work with fasteners to provide a clamping force. The bore may be tapered and the fasteners optionally provide different clamping levels to reduce the stress on the elongated reinforcement member near the front end surface. The disclosed systems also include pre-stressing devices that can be used with the disclosed anchor systems, and that can place a tensile force on the elongated reinforcement members to also impart a compressive force on the static structure.