The ornamental design for a framesupport of storageunit, as shown and described.
FIG. 1 is a front perspective view of the frame support of storage unit of the present invention;
FIG. 2 is a front elevation view of the frame support of storage unit of the present invention;
FIG. 3 is a rear elevation view of the frame support of storage unit of the present invention;
FIG. 4 is a left-side elevation view of the frame support of storage unit of the present invention, the right-side elevation view being a mirror image thereof;
FIG. 5 is a top plan view of the frame support of storage unit of the present invention; and,
FIG. 6 is a bottom plan view of the frame support of storage unit of the present invention.
The portions of the frame support of storage unit shown in broken lines form no part of the claimed design.