An apparatus and method for assembling a split sleeve onto a shaft. The split sleeve apparatus provides a first and second arcuate portion with each having a partial cylindrical configuration. The first and second arcuate portions have at least one finger extending circumferentially outward from their opposing ends. The at least one finger from each of the first and second arcuate portions complementarily engage one another to form a continuous cylinder. At least one aperture extends longitudinally through the at least one finger of the first and second arcuate portions. A dowel rod extends through the at least one aperture for connecting the first and second arcuate portions to form the cylinder. The first and second arcuate portions are fabricated from a material having heat expansion characteristics that allow the material to expand when heated during assembly and to contract when cooled creating an interference fit with the shaft.