Chip break distance when material constant is unity Calculator

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

✖Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.ⓘ Chip break distance when material constant is unity [l_n]

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Formula

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Chip break distance when material constant is unity

Formula

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

Example

`"3.429766mm"=sqrt(("4.2mm"*2*"0.8mm")-(("0.8mm")^2))+"0.964mm"`

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Chip break distance when material constant is unity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness
l_n = sqrt((r_chip*2*h)-(h^2))+a_o
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Chip-Breaker Distance - (Measured in Meter) - Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.
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 Height - (Measured in Meter) - Chip breaker height is defined as the height of the chip breaker on the tool.
Chip Thickness - (Measured in Meter) - Chip Thickness is defined as the actual thickness of the chip after cutting.

STEP 1: Convert Input(s) to Base Unit

Radius of Chip Curvature: 4.2 Millimeter --> 0.0042 Meter (Check conversion here)
Chip Breaker Height: 0.8 Millimeter --> 0.0008 Meter (Check conversion here)
Chip Thickness: 0.964 Millimeter --> 0.000964 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_n = sqrt((r_chip*2*h)-(h^2))+a_o --> sqrt((0.0042*2*0.0008)-(0.0008^2))+0.000964

Evaluating ... ...

l_n = 0.00342976560118759

STEP 3: Convert Result to Output's Unit

0.00342976560118759 Meter -->3.42976560118759 Millimeter (Check conversion here)

FINAL ANSWER

3.42976560118759 ≈ 3.429766 Millimeter <-- Chip-Breaker Distance

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Chip break distance when material constant is unity

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Chip break distance when material constant is unity Formula

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

What does the chip breaker do?

The function of a chip breaker is to improve chip control and reduce cutting resistance. A better balance between the two will increase the machining performance. Reduced cutting resistance can avoid chipping and fracturing of the cutting edge caused by vibration.

How to Calculate Chip break distance when material constant is unity?

Chip break distance when material constant is unity calculator uses Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness to calculate the Chip-Breaker Distance, The chip break distance when material constant is unity is defined as the distance between the tool point and the chip breaker. Chip-Breaker Distance is denoted by l_n symbol.

How to calculate Chip break distance when material constant is unity using this online calculator? To use this online calculator for Chip break distance when material constant is unity, enter Radius of Chip Curvature (r_chip), Chip Breaker Height (h) & Chip Thickness (a_o) and hit the calculate button. Here is how the Chip break distance when material constant is unity calculation can be explained with given input values -> 3429.766 = sqrt((0.0042*2*0.0008)-(0.0008^2))+0.000964.

FAQ

What is Chip break distance when material constant is unity?

The chip break distance when material constant is unity is defined as the distance between the tool point and the chip breaker and is represented as l_n = sqrt((r_chip*2*h)-(h^2))+a_o or Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness. 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 height is defined as the height of the chip breaker on the tool & Chip Thickness is defined as the actual thickness of the chip after cutting.

How to calculate Chip break distance when material constant is unity?

The chip break distance when material constant is unity is defined as the distance between the tool point and the chip breaker is calculated using Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness. To calculate Chip break distance when material constant is unity, you need Radius of Chip Curvature (r_chip), Chip Breaker Height (h) & Chip Thickness (a_o). With our tool, you need to enter the respective value for Radius of Chip Curvature, Chip Breaker Height & Chip Thickness 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 Chip-Breaker Distance?

In this formula, Chip-Breaker Distance uses Radius of Chip Curvature, Chip Breaker Height & Chip Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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