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The series-connected hybrid magnet under construction at the National High Magnetic Field Laboratory uses cable-in-conduit-conductor with high Jc Nb3Sn strands. One of the candidate Nb3Sn strands is made by the restacked-rod process with a nominal Jc of ~ 2400A/mm2. We characterized the Jc as a function of axial and transverse strain, magnetic field and temperature. The Jc-strain measurements have been carried out by a straight pull device and two different Walters spring probes. In addition, we have investigated the effect of the Nb3Sn reaction heat treatment temperature on the irreversible strain. We found that the irreversible strain increases with the heat treatment temperature. Our results indicate that, in addition to its high J c, this type of strand has moderate strain sensitivity, therefore is suitable for the application of the series-connected hybrid magnet.