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Merchant Force Circle (Mechanics of Orthogonal metal cutting)

- Area of shear plane for given shear angle, width of cut & uncut chip thickness
- Coefficient of friction for given forces normal and along the tool rake face
- Coefficient of friction for given friction angle
- Coefficient of friction for given thrust force, cutting force and normal rake angle
- Force acting normal to the rake face for given cutting force, thrust force and normal rake angle
- Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle
- Frictional force along tool rake face for given cutting & thrust forces and normal rake angle
- Mean normal stress in shear plane for given normal force & shear area
- Normal rake angle for given Resultant force, force along shear, shear, and friction angle
- R in merchant circle for given force along the shear force, shear, friction & normal rake angles
- Resultant force in merchant circle for given cutting force, friction and normal rake angles
- 12 More formulas!

Cutting Force

- Cutting force for frictional force along the tool rake face, thrust force and normal rake angle
- Cutting force for given force acting normal to the rake face, thrust force and normal rake angle
- Cutting force for given force along shear force, shear,friction & normal rake angles
- Cutting force for given force along the shear force, thrust force, and shear angle
- Cutting force for given resultant force in merchant circle, friction angle and normal rake angle
- Cutting force for shear stress,width of cut,uncut chip thickness,friction,normal rake & shear angles

Thrust Force

- Thrust force for given cutting force, shear angle & force along the shear force
- Thrust force for given cutting force, shear angle & force normal to shear force
- Thrust force for given force normal to the rake face, cutting force and normal rake angle
- Thrust force for given frictional force along tool rake face, cutting force & normal rake angle

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