A tensive cutting assembly (10) having a tensionable cutting member (20a) removably and interchangeably mounted in a tensive cutting head (30). The tensive cutting assembly may include a means for monitoring tension during set-up of the tensive cutting assembly and sensing failure or breakage during operation. The tensionable cutting member includes a plurality of legs segments (23) connected by a plurality of bends producing a serpentine configuration. The cutting edge of the tensionable cutting member is unsharpened. A tensionable cutting member may be removably mounted to one or both sides of the tensive cutting head. When a tensionable cutting member is mounted to both sides of the tensive cutting head, the first tensionable cutting member presents a first array and the second tensionable cutting member presents a second array rotated at 90 degrees to the first array. The two tensionable cutting members, when employed within a hydraulic cutting device, cut food product having stick configuration.
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