Cutoff
Cutoff is a shearing operation in which blanks are seperated from a sheet metal strip by cutting the opposite sides of the part in sequence, as shown in Figure 20.8(a). With each cut, a new part is produced. The features of a cutoff operation that distinguish it from a conventional shearing operation are the cut edges are not necessarily straight and the blanks can be nested on the strip in such a way that scrap is avoided.
(Fundamentals of Modern Manufacturing, Mikell P. Groover Page 446)
Parting
Parting involves cutting a sheet-metal strip by a punch with two cutting edges that match the opposite sides of the blank , as shown in Figure 20.8(b). This might be required because the part outline has an irregular shape that precludes perfect nesting of the blanks on the strip. Parting is less efficient than cutoff in the sense that it results in some wasted material.
(Fundamentals of Modern Manufacturing, Mikell P. Groover Page 446)
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