Length of chip tool contact given 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 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%

✖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 given radius of chip curvature [l_f]

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Formula

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Length of chip tool contact given radius of chip curvature

Formula

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

Example

`"0.964234mm"="3.43mm"-sqrt(("4.2mm"*2*"0.8mm")-(("0.8mm")^2))`

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Length of chip tool contact given radius of chip curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.

STEP 1: Convert Input(s) to Base Unit

Chip-Breaker Distance: 3.43 Millimeter --> 0.00343 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_f = l_n-sqrt((r_chip*2*h)-(h^2)) --> 0.00343-sqrt((0.0042*2*0.0008)-(0.0008^2))

Evaluating ... ...

l_f = 0.000964234398812409

STEP 3: Convert Result to Output's Unit

0.000964234398812409 Meter -->0.964234398812409 Millimeter (Check conversion here)

FINAL ANSWER

0.964234398812409 ≈ 0.964234 Millimeter <-- Length of Chip Tool Contact

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Length of chip tool contact given radius of chip curvature

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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 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

Length of chip tool contact given radius of chip curvature Formula

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

What are the types of chip breakers?

The chips that are formed during metal cutting operations can be classified into three types: Discontinuous or segmental chips, Continuous chips, and Continuous chips with a built-up edge.

How to Calculate Length of chip tool contact given radius of chip curvature?

Length of chip tool contact given radius of chip curvature calculator uses Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)) to calculate the Length of Chip Tool Contact, The Length of chip tool contact given radius of chip curvature is the distance over which a continuous chip flows over the tool rake face while maintaining contact. Length of Chip Tool Contact is denoted by l_f symbol.

How to calculate Length of chip tool contact given radius of chip curvature using this online calculator? To use this online calculator for Length of chip tool contact given radius of chip curvature, enter Chip-Breaker Distance (l_n), Radius of Chip Curvature (r_chip) & Chip Breaker Height (h) and hit the calculate button. Here is how the Length of chip tool contact given radius of chip curvature calculation can be explained with given input values -> -2458.265601 = 0.00343-sqrt((0.0042*2*0.0008)-(0.0008^2)).

FAQ

What is Length of chip tool contact given radius of chip curvature?

The Length of chip tool contact given radius of chip curvature is the distance over which a continuous chip flows over the tool rake face while maintaining contact and is represented as l_f = l_n-sqrt((r_chip*2*h)-(h^2)) or Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*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 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.

How to calculate Length of chip tool contact given radius of chip curvature?

The Length of chip tool contact given radius of chip curvature is the distance over which a continuous chip flows over the tool rake face while maintaining contact is calculated using Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)). To calculate Length of chip tool contact given radius of chip curvature, you need Chip-Breaker Distance (l_n), Radius of Chip Curvature (r_chip) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip-Breaker Distance, Radius of Chip Curvature & 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 Length of Chip Tool Contact?

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

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

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