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Fiber reinforced polymer (FRP) materials are continuing to show great promise for use in strengthening reinforced concrete structures. These materials are an excellent option for use as external reinforcing because of their light weight, resistance to corrosion, and high strength. Externally bonded FRP sheets have been used to increase moment capacity of flexural members and to improve confinement in compression members. Investigations into the use of externally bonded FRP sheets for shear strengthening have also been conducted and have been shown to be viable. The objectives of this study were to review the current research on shear strengthening with FRP and propose design algorithms to compute the contribution of FRP to the shear capacity of reinforced concrete flexural members. Methods for computing the shear capacity based on the stress level that causes tensile fracture of the FRP sheet (at times this stress may be less than ultimate due to stress concentrations) and based on delamination of the sheet from the concrete surface are presented. Areas of research that have the potential for further development are also discussed. [ABSTRACT FROM AUTHOR]