Radius of chip curvature given constant of material 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 Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness.ⓘ Material Constant [K]			+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%

✖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 given constant of material [r_chip]

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Formula

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Radius of chip curvature given constant of material

Formula

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

Example

`"2143.314mm"=((("3.43mm")-(("1.2")*("0.964mm"))^2)/(2*("0.8mm")))+("0.8mm"/2)`

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Radius of chip curvature given constant of material Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Chip Curvature = (((Chip-Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)
r_chip = (((l_n)-((K)*(a_o))^2)/(2*(h)))+(h/2)
This formula uses 5 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.
Material Constant - The Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness.
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: 3.43 Millimeter --> 0.00343 Meter (Check conversion here)
Material Constant: 1.2 --> No Conversion Required
Chip Thickness: 0.964 Millimeter --> 0.000964 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)-((K)*(a_o))^2)/(2*(h)))+(h/2) --> (((0.00343)-((1.2)*(0.000964))^2)/(2*(0.0008)))+(0.0008/2)

Evaluating ... ...

r_chip = 2.1433136336

STEP 3: Convert Result to Output's Unit

2.1433136336 Meter -->2143.3136336 Millimeter (Check conversion here)

FINAL ANSWER

2143.3136336 ≈ 2143.314 Millimeter <-- Radius of Chip Curvature

(Calculation completed in 00.004 seconds)

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< 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 given constant of material Formula

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

What is undeformed chip thickness?

The undeformed chip thickness in milling is defined as the distance between two consecutive cut surfaces. It varies during cutting and is measured in the direction perpendicular to the preceding cut surface.

What is the minimum chip thickness?

Finally, it is concluded that minimum uncut chip thickness varies practically from 1/4 to 1/3 of tool cutting edge, regardless of workpiece material, tool geometry, mechanical machining process, and technique used for measuring or estimating human, i.e. numerical, analytical or experimental.

How to Calculate Radius of chip curvature given constant of material?

Radius of chip curvature given constant of material calculator uses Radius of Chip Curvature = (((Chip-Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2) to calculate the Radius of Chip Curvature, The Radius of chip curvature given constant of material formula is defined 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 given constant of material using this online calculator? To use this online calculator for Radius of chip curvature given constant of material, enter Chip-Breaker Distance (l_n), Material Constant (K), Chip Thickness (a_o) & Chip Breaker Height (h) and hit the calculate button. Here is how the Radius of chip curvature given constant of material calculation can be explained with given input values -> 4251.134 = (((0.00343)-((1.2)*(0.000964))^2)/(2*(0.0008)))+(0.0008/2).

FAQ

What is Radius of chip curvature given constant of material?

The Radius of chip curvature given constant of material formula is defined 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)-((K)*(a_o))^2)/(2*(h)))+(h/2) or Radius of Chip Curvature = (((Chip-Breaker Distance)-((Material Constant)*(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, The Material Constant is the intensive property of the materials, defined as the ratio of the length of chip-tool contact to the chip thickness, 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 given constant of material?

The Radius of chip curvature given constant of material formula is defined 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)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2). To calculate Radius of chip curvature given constant of material, you need Chip-Breaker Distance (l_n), Material Constant (K), Chip Thickness (a_o) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip-Breaker Distance, Material Constant, 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, Material Constant, 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-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))

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