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

Last Updated on March 4, 2021

This image above represents cutting ratio.

To compute for cutting ratio, two essential parameters are needed and these parameters are Uncut Chip Thickness (t) and Chip Thickness after Cut (t_c).

The formula for calculating cutting ratio:

r = ^t / _tc

Where:

r = Cutting Ratio
t = Uncut Chip Thickness
t_c = Chip Thickness after Cut

Let’s solve an example;
Find the cutting ratio when the uncut chip thickness is 20 and the chip thickness after cut is 2.

This implies that;

t = Uncut Chip Thickness = 20
t_c = Chip Thickness after Cut = 2

r = ^t / _tc
r = ²⁰ / ₂
r = 10

Therefore, the cutting ratio is 10.

Calculating for Uncut Chip Thickness when the Cutting Ratio and the Chip Thickness after Cut is Given.

t = r x t_c

Where;

t = Uncut Chip Thickness
r = Cutting Ratio
t_c = Chip Thickness

Let’s solve an example;
Find the Uncut chip thickness when the cutting ratio is 10 and the chip thickness is 5.

This implies that;

r = Cutting Ratio = 10
t_c = Chip Thickness = 5

t = r x t_c
t = 10 x 5
t = 50

Therefore, the uncut chip thickness is 50.

Calculating for Chip Thickness when the Cutting Ratio and Uncut Chip Thickness is Given.

t_c = ^t / _r

Where;

t_c = Chip Thickness
r = Cutting Ratio
t = Uncut Chip Thickness

Let’s solve an example;
Find the chip thickness when the cutting ratio is 20 and the uncut chip thickness is 40.

This implies that;

r = Cutting Ratio = 20
t = Uncut Chip Thickness = 40

t_c = ^t / _r
t_c = ⁴⁰ / ₂₀
t_c = 2

Therefore, the chip thickness is 2.

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 Uncut Chip Thickness (t) and Chip Thickness after Cut (t_c).

Now, enter the values appropriately and accordingly for the parameters as required by the Uncut Chip Thickness (t) is 20 and Chip Thickness after Cut (t_c) is 2.

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.