A clamping member in a non-limiting aspect of the present disclosure may have a columnar shape extended from a first end to a second end. The clamping member may include an upper jaw, a lower jaw and a pocket. The upper jaw and the lower jaw may be located away from each other. The pocket may be located between the upper jaw and the lower jaw. The upper jaw may include a first member and a second member. The second member may be located closer to the first end than the first member. Hardness of the first member may be first hardness, and hardness of the second member may be second hardness. The first hardness may be different from the second hardness.

A clamping member in a non-limiting aspect of the present disclosure may have a columnar shape extended from a first end to a second end. The clamping member may include an upper jaw, a lower jaw and a pocket. The upper jaw and the lower jaw may be located away from each other. The pocket may be located between the upper jaw and the lower jaw. The upper jaw may include a first member and a second member. The second member may be located closer to the first end than the first member. Hardness of the first member may be first hardness, and hardness of the second member may be second hardness. The first hardness may be different from the second hardness.

A cutting insert may include an upper surface, a lower surface, a front lateral surface and a rear lateral surface. The upper surface may include a first upper cutting edge and an upper constraining surface. The lower surface may include a lower constraining surface. The lower constraining surface may include a lower groove. The lower groove may include a first region, a second region and a third region. The first region may be located on a side opposite to the upper constraining surface. A wedge angle of the first region may be a first angle, a wedge angle of the second region may be a second angle, and a wedge angle of the third region may be a third angle. The first angle may be smaller than each of the second angle and the third angle.

A cutting insert may include an upper surface, a lower surface, a front lateral surface and a rear lateral surface. The upper surface may include a first upper cutting edge and an upper constraining surface. The lower surface may include a lower constraining surface. The lower constraining surface may include a lower groove. The lower groove may include a first region, a second region and a third region. The first region may be located on a side opposite to the upper constraining surface. A wedge angle of the first region may be a first angle, a wedge angle of the second region may be a second angle, and a wedge angle of the third region may be a third angle. The first angle may be smaller than each of the second angle and the third angle.

A cutting insert may include an upper surface, a lower surface, a front cutting edge and a first lateral cutting edge. The upper surface may include a breaker protrusion. The first lateral cutting edge may include an inclined part which is closer to the lower surface as going away from the front cutting edge. The breaker protrusion may include a first region, a second region and a third region. The first region may be located further away from the lower surface than the inclined part. The second region may be located closer to the front cutting edge than the first region, and may be located closer to the lower surface than the inclined part. The third region may be located further away from the front cutting edge than the first region, and may be located closer to the lower surface than the inclined part.

A tool is provided having a tool holder and a brazed top clamp positioned in a portion of the tool holder. The brazed top clamp is made of a material that has a hardness that is greater than the material that makes up the tool holder. In certain embodiments, the tool holder has a slot that is in the shape of a “T-slot” and the top clamp is in the shape of a “T shaped rail” that is positioned within the “T-slot” of the tool holder.

A tool is provided having a tool holder and a brazed top clamp positioned in a portion of the tool holder. The brazed top clamp is made of a material that has a hardness that is greater than the material that makes up the tool holder. In certain embodiments, the tool holder has a slot that is in the shape of a “T-slot” and the top clamp is in the shape of a “T shaped rail” that is positioned within the “T-slot” of the tool holder.

A cutting insert may include an upper surface, a lower surface, a front lateral surface and a rear lateral surface. The upper surface may include an upper constraining surface. The lower surface may include a lower groove having a V-shape. The lower groove may include a first region, a second region, a third region a first portion and a second portion. A length of a line segment connecting the first portion and the second portion in the first region may be a first length, a length of a line segment connecting the first portion and the second portion in the second region may be a second length, and a length of a line segment connecting the first portion and the second portion in the third region may be a third length. The first length may be larger than each of the second length and the third length.

A cutting insert may include an upper surface, a lower surface, a front lateral surface and a rear lateral surface. The upper surface may include a first upper cutting edge and an upper constraining surface. The lower surface may include a first region, a second region and a third region. The first region may be located on a side opposite to the upper constraining surface. The second region may be located closer to the front lateral surface than the first region. The third region may be located closer to the rear lateral surface than the first region. A wedge angle of the first region may be a first angle, a wedge angle of the second region may be a second angle, and a wedge angle of the third region may be a third angle. The first angle may be smaller than each of the second angle and the third angle.

A cutting tool includes a holder and a cutting insert releasably clamped in the holder. The holder has a rear pocket surface which includes a pocket abutment surface and an adjacent pocket wedge surface. The cutting insert has at least one abutment surface and an adjacent wedge surface. When the cutting tool is assembled but not in use, the pocket abutment surface of the holder abuts the abutment surface of the cutting insert, and the wedge surface of the holder is facing and spaced apart from the wedge surface of the cutting insert. During cutting operations, the wedge surface of the insert may abut against the wedge surface of the holder.