Cutting Ratio Calculator

✖Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.ⓘ Undeformed Chip Thickness [a_c]			+10% -10%
✖Uncut Chip Thickness is the thickness of the undeformed chip.ⓘ Uncut Chip Thickness [t₁]			+10% -10%

✖The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting.ⓘ Cutting Ratio [r_c]

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Formula

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Cutting Ratio

Formula

`"r"_{"c"} = "a"_{"c"}/"t"_{"1"}`

Example

`"0.2"="0.25mm"/"1.25mm"`

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Cutting Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness
r_c = a_c/t₁
This formula uses 3 Variables

Variables Used

Cutting Ratio - The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting.
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Uncut Chip Thickness - (Measured in Meter) - Uncut Chip Thickness is the thickness of the undeformed chip.

STEP 1: Convert Input(s) to Base Unit

Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Uncut Chip Thickness: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = a_c/t₁ --> 0.00025/0.00125

Evaluating ... ...

r_c = 0.2

STEP 3: Convert Result to Output's Unit

0.2 --> No Conversion Required

FINAL ANSWER

0.2 <-- Cutting Ratio

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Cutting Ratio

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ 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

Cutting Ratio Formula

Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness
r_c = a_c/t₁

What is Uncut Chip Thickness?

Uncut chip thickness is comparable to cutting edge radius in micromachining. If the uncut chip thickness is less than a critical value, there will be no chip formation. This critical value is termed as minimum uncut chip thickness

How to Calculate Cutting Ratio?

Cutting Ratio calculator uses Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness to calculate the Cutting Ratio, The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting. Cutting Ratio is denoted by r_c symbol.

How to calculate Cutting Ratio using this online calculator? To use this online calculator for Cutting Ratio, enter Undeformed Chip Thickness (a_c) & Uncut Chip Thickness (t₁) and hit the calculate button. Here is how the Cutting Ratio calculation can be explained with given input values -> 0.2 = 0.00025/0.00125.

FAQ

What is Cutting Ratio?

The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting and is represented as r_c = a_c/t₁ or Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness. Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & Uncut Chip Thickness is the thickness of the undeformed chip.

How to calculate Cutting Ratio?

The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting is calculated using Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness. To calculate Cutting Ratio, you need Undeformed Chip Thickness (a_c) & Uncut Chip Thickness (t₁). With our tool, you need to enter the respective value for Undeformed Chip Thickness & Uncut Chip Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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