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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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 00.004 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!

< Chip Control Calculators

Metal Removal Rate given Specific Cutting Energy

LaTeX 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

LaTeX Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear Angle)

Length of Shear Plane of Chip

LaTeX Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

LaTeX Go Cross Sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Cutting Ratio Formula

LaTeX Go

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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