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Merchant's Circle Diagram
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Transcript of Merchant's Circle Diagram
![Page 1: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/1.jpg)
Merchant’s Circle Diagram (MCD)
Cutting Tool Materials
Cutting Fluids in machining
![Page 2: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/2.jpg)
Forces in Machining
![Page 3: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/3.jpg)
Forces in Machining
Fc Cutting Force
Ft Tangential Force
Ff Friction Force
N Normal Force
Fs Shear Force
Fn Normal Shear Force
![Page 4: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/4.jpg)
Fc
Ft
TOOL
Fc
Ft
TOOL
R
Fc Cutting Force
Ft Tangential Force
These forces are measured with the help of force sensors.
![Page 5: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/5.jpg)
R
Ff
N
TOOL
Ff Friction Force
N Normal Force
![Page 6: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/6.jpg)
TOOLTOOL
Fs
Fn
Shear plane
Fs Shear Force
Fn Normal Shear ForceR
![Page 7: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/7.jpg)
Fc
Ft
TOOL
Fc
Ft
TOOL
R
Ff
N
Fs
Fn
Shear plane
Fc Cutting Force
Ft Tangential Force
Ff Friction Force
N Normal Force
Fs Shear Force
Fn Normal Shear Force
![Page 8: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/8.jpg)
Fc
Ft
TOOL
Fc
Ft
TOOL
R
Ff
N
Fs
Fn
Shear plane
Fc Cutting Force
Ft Tangential Force
Ff Friction Force
N Normal Force
Fs Shear Force
Fn Normal Shear Force
Φ
ζ
![Page 9: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/9.jpg)
Rc Cos г
tan Φ =
1 – Rc Sin г
To
Where Rc = Cutting Ratio =
Tc
Ff = Ft Cos г + Fc Sin г
N = Fc Cos г - Ft Sin г
Fs = Fc Cos Φ - Ft Sin Φ
Fn = Fc Sin Φ + Ft Cos Φ
![Page 10: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/10.jpg)
Rc Cos г
tan Φ =
1 – Rc Sin г
To
Where Rc = Cutting Ratio =
Tc
Ff = Ft Cos г + Fc Sin г
N = Fc Cos г - Ft Sin г
Fs = Fc Cos Φ - Ft Sin Φ
Fn = Fc Sin Φ + Ft Cos Φ
Coefficient of Friction µ = Ff
N
Friction angle
ζ = tan (µ)
![Page 11: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/11.jpg)
MERCHANT’S CIRCLE DIAGRAM
(MCD)
![Page 12: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/12.jpg)
What is MCD?
1. It’s a Graphical method to calculate the forces in machining
2. It is calculated from the measured forces
Fc Cutting Force
Ft Tangential Force
Ff Friction Force
N Normal Force
Fs Shear Force
Fn Normal Shear Force
![Page 13: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/13.jpg)
![Page 14: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/14.jpg)
TOOL
![Page 15: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/15.jpg)
TOOL
Fc
![Page 16: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/16.jpg)
Fc
Ft
TOOL
![Page 17: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/17.jpg)
Fc
Ft
TOOL
![Page 18: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/18.jpg)
Fc
Ft
TOOL
R
![Page 19: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/19.jpg)
Fc
Ft
TOOL
R
![Page 20: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/20.jpg)
Fc
Ft
TOOL
R
![Page 21: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/21.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 22: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/22.jpg)
Fc
Ft
TOOL
R
![Page 23: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/23.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 24: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/24.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 25: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/25.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 26: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/26.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 27: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/27.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 28: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/28.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 29: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/29.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 30: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/30.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 31: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/31.jpg)
Fc
Ft
TOOL
R
Merchant’s Circle
![Page 32: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/32.jpg)
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
![Page 33: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/33.jpg)
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
![Page 34: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/34.jpg)
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
to
![Page 35: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/35.jpg)
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
to
![Page 36: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/36.jpg)
Shear Plane
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
to
![Page 37: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/37.jpg)
Shear Plane
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
to
Fs
![Page 38: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/38.jpg)
Shear Plane
Fc
Ft
TOOL
Merchant’s Circle
R
Ff
N
to
Fs
Fn
Φ
ζ
![Page 39: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/39.jpg)
Φ = Π
4
1
2ζ
Shear plane angle determined by Merchant
ζ = Friction angle
= Rake angle
Where
![Page 40: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/40.jpg)
CUTTING TOOL MATERIALS
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1. High Carbon Steel
2. High Speed Steel (HSS)
3. Cast Alloys
4. Cemented carbides (cermet) (sintered carbide)
5. Coated Carbides
6. Ceramics
7. Diamonds
CUTTING TOOL MATERIALS
![Page 42: Merchant's Circle Diagram](https://reader034.fdocuments.us/reader034/viewer/2022042421/55cf9d6a550346d033ad86df/html5/thumbnails/42.jpg)
1. High Carbon SteelThis material is one of the earliest cutting materials used in machining. It is however now virtually superseded by other materials used in engineering because it starts to temper at about 220oC . This softening process continues as the temperature rises. As a result cutting using this material for tools is limited to speeds up to 0.15 m/s for machining mild steel with lots of coolant.
2. High Speed Steel (HSS) This range of metals contain about 7% carbon, 4% chromium plus additions of tungsten, vanadium, molybdenum and cobalt. These metals maintain their hardness at temperature up to about 600o, but soften rapidly at higher temperatures. These materials are suitable for cutting mild steel at speeds up maximum rates of 0.8 m/s to 1.8 m/s.
3. Cast Alloys These cutting tools are made of various nonferous metals in a cobalt base. They can withstand cutting temperatures of up to 760oC and are capable of cutting speeds about 60% higher than HSS.
4. Cemented carbides (cermet) (sintered carbide) This material usually consists of tungsten carbide or a mixture of tungsten carbide, titanium, or tantalum carbide in powder form, sintered in a matrix of cobalt or nickel. As this material is expensive and has low rupture strength it is normally made in the form of tips which are brazed or clamped on a steel shank. The clamped tips are generally used as throw away inserts.
5. Coated Carbides The cutting system is based on providing a thin layer of high wear-resistant titanium carbide fused to a conventional tough grade carbide insert, thus achieving a tool combining the wear resistance of one material with the wear resistance of another. These systems provide a longer wear resistance and a higher cutting speed compared to conventional carbides.
6. Ceramics Ceramics are made by powder metallurgy from aluminium oxide with additions of titanium oxide and magnesium oxide to improve cutting properties. These have a very high hot resistance and wear resistance and can cut at very high speed. However they are brittle and have little resistance to to shock. Their use is therefore limited to tips used for continuous high speed cutting on vibration-free machines.
7. Diamonds Diamonds have limited application due to the high cost and the small size of the of the stones. They are used on very hard materials to produce a fine finish and on soft materials. especially those inclined to clog other cutting materials. They are generally used at very high cutting speed with low feed and light cuts. Due to the brittleness of the diamonds the machine has to be designed to be vibration free. The tools last for 10 (up to 400) times longer than carbide based tools.