Radius of Chip curvature Calculator

✖Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.ⓘ Chip-Breaker Distance [l_n]			+10% -10%
✖The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.ⓘ Length of Chip Tool Contact [l_f]			+10% -10%
✖Chip breaker height is defined as the height of the chip breaker on the tool.ⓘ Chip Breaker Height [h]			+10% -10%

✖The Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.ⓘ Radius of Chip curvature [r_chip]

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Formula

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Radius of Chip curvature

Formula

`"r"_{"chip"} = (("l"_{"n"}-"l"_{"f"})^2)/(2*"h")+("h"/2)`

Example

`"3.620562mm"=(("3.43mm"-"1.16mm")^2)/(2*"0.8mm")+("0.8mm"/2)`

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Radius of Chip curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
r_chip = ((l_n-l_f)^2)/(2*h)+(h/2)
This formula uses 4 Variables

Variables Used

Radius of Chip Curvature - (Measured in Meter) - The Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.
Chip-Breaker Distance - (Measured in Meter) - Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.
Length of Chip Tool Contact - (Measured in Meter) - The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.
Chip Breaker Height - (Measured in Meter) - Chip breaker height is defined as the height of the chip breaker on the tool.

STEP 1: Convert Input(s) to Base Unit

Chip-Breaker Distance: 3.43 Millimeter --> 0.00343 Meter (Check conversion here)
Length of Chip Tool Contact: 1.16 Millimeter --> 0.00116 Meter (Check conversion here)
Chip Breaker Height: 0.8 Millimeter --> 0.0008 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_chip = ((l_n-l_f)^2)/(2*h)+(h/2) --> ((0.00343-0.00116)^2)/(2*0.0008)+(0.0008/2)

Evaluating ... ...

r_chip = 0.0036205625

STEP 3: Convert Result to Output's Unit

0.0036205625 Meter -->3.6205625 Millimeter (Check conversion here)

FINAL ANSWER

3.6205625 ≈ 3.620562 Millimeter <-- Radius of Chip Curvature

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Radius of Chip curvature

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 25 Chip Control Calculators

Chip breaker height given Chip breaker wedge angle

Go Chip Breaker Height = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle)

Radius of Chip given Chip breaker wedge angle

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))

Length of chip tool contact given Chip breaker wedge angle

Go Length of Chip Tool Contact = Chip-Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle))

Chip breaker distance given Chip breaker wedge angle

Go Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact

Length of chip tool contact given radius of chip curvature

Go Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Chip breaker distance given radius of chip curvature

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact

Chip break distance when material constant is unity

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness

Chip Thickness when material constant is unity

Go Chip Thickness = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Radius of Chip curvature

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Radius of Chip curvature when material constant is unity

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Density of Workpiece given Thickness of Chip

Go Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip)

Length of Chip using Thickness of Chip

Go Length of Chip = Mass of Chip/(Chip Thickness*Width of Chip*Density of work piece)

Width of Chip given Thickness of Chip

Go Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)

Chip Thickness

Go Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)

Mass of Chip given Thickness of Chip

Go Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece

Metal Removal Rate given Specific Cutting Energy

Go Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining

Undeformed Chip Thickness using Length of Shear Plane of Chip

Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear angle)

Length of Shear Plane of Chip

Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

Go Cross-sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Chip thickness given length of chip tool contact

Go Chip Thickness = Length of Chip Tool Contact/Material Constant

Undeformed Chip Thickness using Cutting Ratio

Go Undeformed Chip Thickness = Cutting Ratio*Uncut Chip Thickness

Constant for length of chip tool contact

Go Material Constant = Length of Chip Tool Contact/Chip Thickness

Chip Thickness given Cutting Ratio

Go Uncut Chip Thickness = Undeformed Chip Thickness/Cutting Ratio

Length of chip tool contact

Go Length of Chip Tool Contact = Chip Thickness*Material Constant

Cutting Ratio

Go Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness

Radius of Chip curvature Formula

Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
r_chip = ((l_n-l_f)^2)/(2*h)+(h/2)

What does radius of curvature mean?

In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.

How to Calculate Radius of Chip curvature?

Radius of Chip curvature calculator uses Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2) to calculate the Radius of Chip Curvature, Radius of chip curvature formula is used to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker. Radius of Chip Curvature is denoted by r_chip symbol.

How to calculate Radius of Chip curvature using this online calculator? To use this online calculator for Radius of Chip curvature, enter Chip-Breaker Distance (l_n), Length of Chip Tool Contact (l_f) & Chip Breaker Height (h) and hit the calculate button. Here is how the Radius of Chip curvature calculation can be explained with given input values -> 1230.16 = ((0.00343-0.00116)^2)/(2*0.0008)+(0.0008/2).

FAQ

What is Radius of Chip curvature?

Radius of chip curvature formula is used to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker and is represented as r_chip = ((l_n-l_f)^2)/(2*h)+(h/2) or Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2). Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker, The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact & Chip breaker height is defined as the height of the chip breaker on the tool.

How to calculate Radius of Chip curvature?

Radius of chip curvature formula is used to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker is calculated using Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2). To calculate Radius of Chip curvature, you need Chip-Breaker Distance (l_n), Length of Chip Tool Contact (l_f) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip-Breaker Distance, Length of Chip Tool Contact & Chip Breaker Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Chip Curvature?

In this formula, Radius of Chip Curvature uses Chip-Breaker Distance, Length of Chip Tool Contact & Chip Breaker Height. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Chip Curvature = ((Chip-Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))
Radius of Chip Curvature = (((Chip-Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)

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