A clamping device (18) for supporting a reel having a tubular core is described. The clamping device (18) comprises a base body (20) with a mounting interface (22) for fixing the base body (20) on a machine frame. Additionally, it has a carrier body (36) configured for being placed inside the tubular core of the reel. The carrier body (36) is rotatably supported on the base body (20) such that the carrier body (36) can rotate with respect to the base body (20) about an axis (38) of rotation. Moreover, a plurality of clamping elements (42) are coupled with an actuation mechanism (76) such that the clamping elements (42) can selectively protrude from an outer circumference of the carrier body (36) and selectively be retracted to be at least flush with the outer circumference of the carrier body (36). Furthermore, a brake mechanism is arranged between the base body (20) and the carrier body (36) for selectively decelerating or blocking the rotation of the carrier body (36) with respect to the base body (20).