Touches all the related areas of conventional machining

1. MERCHANT’S CIRCLE
By-
Bishal Das
Nit Mizoram

2. Nomenclature

3. Shear strength

4. Shear strain

5. Velocity triangle
Vs-Shear velocity
Vc-Chip velocity
V-Velocity of uncut chip
By Sin law-

6. Assumptions:
The tool is perfectly sharp and has no contact along the clearance face
The surface, where shear is occurring is a plane
The cutting edge is a straight line extending perpendicular to the direction of
motion and generates a plane surface as the work moves past it
The chip does not flow to either side or no side spread.
Uncut chip thickness is constant
Width moves with a uniform velocity
A continuous chip is produced without any BUE
Work moves with a uniform velocity
The stress on the spear plane are uniformly distributed.

7. Nomenclature

8. Forces of Merchant’s circle
• F=Fcsinø+Ftcosα
• N=Fccosα-Ftsinα
• Fs=Fccosø-Ftsinø
• Fn=Fcsinø+Ftcosø
• Fc=Fscosø+Fnsinø
• Ft=Fncosø-Fssinø

9. Minimum Power consumption
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