# What are the assumptions taken in Merchant Circle?

## What are the assumptions taken in Merchant Circle?

Assumptions for Merchant’s circle diagram There is no contact between the cutting tool and the clearance edge. The chip formation is in continuous form and without a built-up edge. The thickness of the uncut chip is constant. The workpiece moves with a uniform velocity during the cutting process.

What are the assumptions considered for drawing the Merchant Circle in orthogonal metal cutting operation?

Assumption in Merchant’s Force Circle: (i) Orthogonal cutting process with single point cutting tool is considered. (ii) The chip is considered in equilibrium under action of two equal and opposite collinear forces. (vi) The cutting velocity remains constant. (vii) There is no sideway flow of chip.

### For what Merchant Circle diagram is used?

Advantageous use of Merchant’s circle diagram Easy, quick and reasonably accurate determination of several other forces from a few known forces involved in machining. Friction at chip tool interface and dynamic yield shear strength can be easily determined. Equations relating the different forces are easily developed.

What is a Merchant Circle diagram?

 Merchant’s Circle Diagram is constructed to ease the analysis of cutting forces acting during orthogonal (Two Dimensional) cutting of work piece.

## What are the assumptions of a merchants circle?

Assumptions for Merchants Circle Diagram. Construction of Merchants Circle. Solutions of Merchants Circle. Advantages of Merchants Circle. Need for the analysis of cutting forces. Limitations of Merchants Circle. cutting of work piece. various force and angles. Cutting Edge is normal to tool feed. force. Hence known as two dimensional cutting.

What are the forces in a merchant circle diagram?

Solution:Merchant Circle Diagram (MCD) is the graphical representation of various forces associated with an orthogonal machining operation. It displays shear force (PS), normal shear force (PN), main cutting force (PZ), resultant thrust force (PXY), friction force (F), normal force (N) and a resultant force (R).

### Which is the best introduction to the Merchant circle?

Faculty, Vipul Patel 2.  Brief introduction to Merchant’s Circle. Assumptions for Merchant’s Circle Diagram.  Construction of Merchant’s Circle.  Solutions of Merchant’s Circle.  Advantages of Merchant’s Circle.  Need for the analysis of cutting forces.  Limitations of Merchant’s Circle.  Conclusion

Is the Merchant’s circle diagram valid for orthogonal cutting?

Equations relating the different forces are easily developed. Merchant’s circle diagram (MCD) is only valid for orthogonal cutting. By the ratio, F/N, the MCD gives apparent (not actual) coefficient of friction. It is based on single shear plane theory. Sachin is a B-TECH graduate in Mechanical Engineering from a reputed Engineering college.