How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation

Last Updated on March 4, 2021

The image above represents cutting ratio.

To compute for cutting ratio, two essential parameters are needed and these parameters are Shear Angle (φ) and Chip Velocity (α).

The formula for calculating cutting ratio:

r = ^sinφ / _{cos(φ – α)}

Where:

r = Cutting Ratio
φ = Shear Angle
α = Rake Angle

Let’s solve an example;
Find the cutting ratio when the shear angle is 24 and the rake angle is 10.

This implies that;

φ = Shear Angle = 24
α = Rake Angle = 10

r = ^sinφ / _{cos(φ – α)}
r = ^sin24° / _{cos(24° – 10°)}
r = ^sin24° / _cos(14°)
r = ^0.406 / _0.970
r = 0.419

Therefore, the cutting ratio is 0.419.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the cutting ratio.

To get the answer and workings of the cutting ratio using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Metal Forming Processes under Materials and Metallurgical

Now, Click on Mechanics of Chips Formation under Metal Forming Processes

Now, Click on Cutting Ratio under Mechanics of Chips Formation

The screenshot below displays the page or activity to enter your values, to get the answer for the cutting ratio according to the respective parameters which is the Shear Angle (φ) and Chip Velocity (α).

Now, enter the values appropriately and accordingly for the parameters as required by the Shear Angle (φ) is 24 and Chip Velocity (α) is 10.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the cutting ratio and presents the formula, workings and steps too.