How to Calculate and Solve for Cutting Force | Metal Forming processes

Last Updated on March 8, 2021

The image above represents cutting force.

To compute for cutting force, seven essential parameters are needed and these parameters are Depth of Cut (d), Feed (f), Cutting Velocity (v), Dependent Value on the Work Piece Material (C), Dependent Value on the Work Piece Material (x), Dependent Value on the Work Piece Material (y) and Dependent Value on the Work Piece Material (n).

The formula for calculating cutting force:

F_c = C.d^x.f^y.vⁿ

Where:

F_c = Cutting Force
d = Depth of Cut
f = Feed
v = Cutting Velocity
C = Dependent Value on the Work Piece Material
x = Dependent Value on the Work Piece Material
y = Dependent Value on the Work Piece Material
n = Dependent Value on the Work Piece Material

Let’s solve an example;
Find the cutting force when the depth of cut is 12, the feed is 15, the cutting velocity is 18, the dependent value on the work piece material is 10, the dependent value on the work piece material is 6, the dependent value on the work piece material is 3 and the dependent value on the work piece material is 21.

This implies that;

d = Depth of Cut = 12
f = Feed = 15
v = Cutting Velocity = 18
C = Dependent Value on the Work Piece Material = 10
x = Dependent Value on the Work Piece Material = 6
y = Dependent Value on the Work Piece Material = 3
n = Dependent Value on the Work Piece Material = 21

F_c = C.d^x.f^y.vⁿ
F_c = 10 x 12⁶ x 15³ x 18²¹
F_c = 10 x 2985984 x 3375 x 2.29e+26
F_c = 2.31

Therefore, the cutting force is 2.31e+37 N.

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

To get the answer and workings of the cutting force 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 Cutting Force under Metal Forming Processes

The screenshot below displays the page or activity to enter your values, to get the answer for the cutting force according to the respective parameters which is the Depth of Cut (d), Feed (f), Cutting Velocity (v), Dependent Value on the Work Piece Material (C), Dependent Value on the Work Piece Material (x), Dependent Value on the Work Piece Material (y) and Dependent Value on the Work Piece Material (n).

Now, enter the value appropriately and accordingly for the parameter as required by the Depth of Cut (d) is 12, Feed (f) is 15, Cutting Velocity (v) is 18, Dependent Value on the Work Piece Material (C) is 10, Dependent Value on the Work Piece Material (x) is 6, Dependent Value on the Work Piece Material (y) is 3 and Dependent Value on the Work Piece Material (n) is 21.

Finally, Click on Calculate

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