Radius of Chip curvature when material constant is unity Calculator

✖Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.ⓘ Chip Breaker Distance [l_n]			+10% -10%
✖Chip Thickness is defined as the actual thickness of the chip after cutting.ⓘ Chip Thickness [a_o]			+10% -10%
✖Chip Breaker Height is defined as the height of the chip breaker on the tool.ⓘ Chip Breaker Height [h]			+10% -10%

✖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 when material constant is unity [r]

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Formula

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Radius of Chip curvature when material constant is unity

Formula

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

Example

`"36.36827mm"=(("6.4mm"-"0.099mm")^2)/(2*"0.55mm")+("0.55mm"/2)`

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Radius of Chip curvature when material constant is unity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Chip Curvature = ((Chip Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
r = ((l_n-a_o)^2)/(2*h)+(h/2)
This formula uses 4 Variables

Variables Used

Radius of Chip Curvature - (Measured in Meter) - 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.
Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.
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: 6.4 Millimeter --> 0.0064 Meter (Check conversion here)
Chip Thickness: 0.099 Millimeter --> 9.9E-05 Meter (Check conversion here)
Chip Breaker Height: 0.55 Millimeter --> 0.00055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((l_n-a_o)^2)/(2*h)+(h/2) --> ((0.0064-9.9E-05)^2)/(2*0.00055)+(0.00055/2)

Evaluating ... ...

r = 0.0363682736363636

STEP 3: Convert Result to Output's Unit

0.0363682736363636 Meter -->36.3682736363636 Millimeter (Check conversion here)

FINAL ANSWER

36.3682736363636 ≈ 36.36827 Millimeter <-- Radius of Chip Curvature

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Radius of Chip curvature when material constant is unity

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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 when material constant is unity Formula

Radius of Chip Curvature = ((Chip Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
r = ((l_n-a_o)^2)/(2*h)+(h/2)

What are the types of chip breakers?

TYPES OF CHIPS •
The chips that are formed during metal cutting operations can be classified into three types:
1. Discontinuous or segmental chips
2. Continuous chips
3. Continuous chips with a built-up edge.

How to Calculate Radius of Chip curvature when material constant is unity?

Radius of Chip curvature when material constant is unity calculator uses Radius of Chip Curvature = ((Chip Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2) to calculate the Radius of Chip Curvature, Radius of Chip curvature when material constant is unity 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 symbol.

How to calculate Radius of Chip curvature when material constant is unity using this online calculator? To use this online calculator for Radius of Chip curvature when material constant is unity, enter Chip Breaker Distance (l_n), Chip Thickness (a_o) & Chip Breaker Height (h) and hit the calculate button. Here is how the Radius of Chip curvature when material constant is unity calculation can be explained with given input values -> 2.3E+6 = ((0.0064-9.9E-05)^2)/(2*0.00055)+(0.00055/2).

FAQ

What is Radius of Chip curvature when material constant is unity?

Radius of Chip curvature when material constant is unity 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 = ((l_n-a_o)^2)/(2*h)+(h/2) or Radius of Chip Curvature = ((Chip Breaker Distance-Chip Thickness)^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, Chip Thickness is defined as the actual thickness of the chip after cutting & Chip Breaker Height is defined as the height of the chip breaker on the tool.

How to calculate Radius of Chip curvature when material constant is unity?

Radius of Chip curvature when material constant is unity 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-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2). To calculate Radius of Chip curvature when material constant is unity, you need Chip Breaker Distance (l_n), Chip Thickness (a_o) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip Breaker Distance, Chip Thickness & 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, Chip Thickness & 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-Length of Chip Tool Contact)^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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