What is Merchant Circle diagram?

What is 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 made in drawing merchant’s circle?

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. (iii) The stress is maximum at the shear plane and it remains constant.

What is Taylor’s tool life equation?

With the slope, n and intercept, c, Taylor derived the simple equation as VTn = C where, n is called, Taylor’s tool life exponent. The values of both ‘n’ and ‘c’ depend mainly upon the tool-work materials and the cutting environment (cutting fluid application).

What is meant by tool wear?

Tool wear is the gradual failure of cutting tools due to regular operation. Tools affected include tipped tools, tool bits, and drill bits that are used with machine tools.

What is the purpose of Merchant circle diagram?

By using the merchant’s circle diagram and its equations we are going to determine the other force relations simply and efficiently. Determine the value of thrust force $F_{x}$. As the rake angle of the tool is known, draw the chip and tool in the orthogonal plane.

Is ceramic a cutting tool?

They are well suited for machining cast iron, hard steels and superalloys. Two types of ceramic cutting tools are available: alumina-based and silicon nitride-based ceramics. The alumina-based ceramics are used for highspeed semi- and final finishing of ferrous and some non-ferrous materials.

What is VB in tool wear?

3.3 Tool wear in milling Flank wear (VB): this is the loss of particles along the cutting edge, that is in the intersection of the clearance and rake faces, being observed and measured on the clearance face of end milling tools.

How is tool life measured?

The most commonly used methods for tool life measurements are following: (i) Machining Time: On carbide and ceramic tools where crater wear is almost absent. Tool life is taken as corresponding to 0.038 or 0.076 mm of wear land on the flank surface for finishing respectively.

When to use a merchant’s circle diagram?

For establishing the relationship between measurable and actual forces Merchant’s circle diagram will be used. Merchant circle diagram is used to analyze the forces acting in metal cutting. The analysis of three forces system, which balance each other for cutting to occur. Each system is a triangle of forces.

How to calculate the force of a merchant’s circle?

Merchant’s circle equation and derivation 1 The diameter of the circle and the resultant force is denoted by F F F. 2 The cutting force is denoted by F z F_ {z} F z ​ . 3 The thrust force is denoted by F x F_ {x} F x ​ .

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

Other than orthogonal cutting, the merchant’s circle diagram is not used since it is based on a single shear plane principle. The friction coefficient obtained by the formula which is derived from MCD gives only the approximate value.

How to create a marketing diagram in Excel?

In Marketing Diagrams on the Shapes pane,, drag the Marketing Mix shape onto the drawing page. Drag selection handles to resize the shape. To replace text, select a shape and then right-click and select Edit Text, and then type the text.

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