Radius of Chip given Chip breaker wedge angle 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%
✖Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool.ⓘ Chip Breaker Wedge Angle [σ]			+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 given Chip breaker wedge angle [r]

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Formula

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Radius of Chip given Chip breaker wedge angle

Formula

r = ((l n - l f) - (h \cdot \cot (σ))) \cdot \cot (\frac{σ}{2})

Example

10.81507 mm = ((6.4 mm - 1.24 mm) - (0.55 mm \cdot \cot (0.81 rad))) \cdot \cot (\frac{0.81 rad}{2})

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Radius of Chip given Chip breaker wedge angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
r = ((l_n-l_f)-(h*cot(σ)))*cot(σ/(2))
This formula uses 1 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

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.
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.
Chip Breaker Wedge Angle - (Measured in Radian) - Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool.

STEP 1: Convert Input(s) to Base Unit

Chip Breaker Distance: 6.4 Millimeter --> 0.0064 Meter (Check conversion here)
Length of Chip Tool Contact: 1.24 Millimeter --> 0.00124 Meter (Check conversion here)
Chip Breaker Height: 0.55 Millimeter --> 0.00055 Meter (Check conversion here)
Chip Breaker Wedge Angle: 0.81 Radian --> 0.81 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((l_n-l_f)-(h*cot(σ)))*cot(σ/(2)) --> ((0.0064-0.00124)-(0.00055*cot(0.81)))*cot(0.81/(2))

Evaluating ... ...

r = 0.0108150748273184

STEP 3: Convert Result to Output's Unit

0.0108150748273184 Meter -->10.8150748273184 Millimeter (Check conversion here)

FINAL ANSWER

10.8150748273184 ≈ 10.81507 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 given Chip breaker wedge angle

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!

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Radius of Chip given Chip breaker wedge angle Formula

Which angle is control the geometry of chip formation?

Clearance angles and rake angles are important to chip formation and control. Clearance angles are used to decrease the amount of rubbing of the tool against the workpiece and are always positive or zero, never negative.

How to Calculate Radius of Chip given Chip breaker wedge angle?

Radius of Chip given Chip breaker wedge angle calculator uses 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)) to calculate the Radius of Chip Curvature, The Radius of Chip given Chip breaker wedge angle is the radius that maintains a constant radius of curvature until it breaks away or clears the chip breaker. Radius of Chip Curvature is denoted by r symbol.

How to calculate Radius of Chip given Chip breaker wedge angle using this online calculator? To use this online calculator for Radius of Chip given Chip breaker wedge angle, enter Chip Breaker Distance (l_n), Length of Chip Tool Contact (l_f), Chip Breaker Height (h) & Chip Breaker Wedge Angle (σ) and hit the calculate button. Here is how the Radius of Chip given Chip breaker wedge angle calculation can be explained with given input values -> 114547.4 = ((0.0064-0.00124)-(0.00055*cot(0.81)))*cot(0.81/(2)).

FAQ

What is Radius of Chip given Chip breaker wedge angle?

The Radius of Chip given Chip breaker wedge angle is the radius that maintains a constant radius of curvature until it breaks away or clears the chip breaker and is represented as r = ((l_n-l_f)-(h*cot(σ)))*cot(σ/(2)) or 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)). 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 & Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool.

How to calculate Radius of Chip given Chip breaker wedge angle?

The Radius of Chip given Chip breaker wedge angle is the radius that maintains a constant radius of curvature until it breaks away or clears the chip breaker is calculated using 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)). To calculate Radius of Chip given Chip breaker wedge angle, you need Chip Breaker Distance (l_n), Length of Chip Tool Contact (l_f), Chip Breaker Height (h) & Chip Breaker Wedge Angle (σ). With our tool, you need to enter the respective value for Chip Breaker Distance, Length of Chip Tool Contact, Chip Breaker Height & Chip Breaker Wedge Angle 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 & Chip Breaker Wedge Angle. 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)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)

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