How to Calculate and Solve for Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool | Merchant Force Circle

Last Updated on April 27, 2024

The image above represents force at the tool chip interface acting normal to the cutting force of the tool. You need three parameters to calculate force at the tool chip interface acting normal to the cutting force of the tool. These parameters are Cutting Force (Horizontal Force Component) (F_c), Cross Force (Vertical Force Component) (F_t) and Rake Angle (α).

The formula for calculating force at the tool chip interface acting normal to the cutting force of the tool:

N = F_ccosα – F_tsinα

Where the following applies:

N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
F_c = Cutting Force (Horizontal Force Component)
F_t = Cross Force (Vertical Force Component)
α = Rake Angle

Let’s solve an example;
Find the force at the tool chip interface acting normal to the cutting force of the tool when the cutting force is 12, the cross force is 18 and the rake angle is 22°.

This implies that;

F_c = Cutting Force (Horizontal Force Component) = 12
F_t = Cross Force (Vertical Force Component) = 18
α = Rake Angle = 22°

N = F_ccosα – F_tsinα
N = 12 x cos22° – 18 x sin 22°
That is, N = 12 x 0.927 – 18 x 0.374
N = 11.126 – 6.743
N = 4.38

Therefore, the force at the tool chip interface acting normal to the cutting force of the tool is 4.83 N.

Read more: How to Calculate and Solve for Frictional Resistance of the Tool acting on the Chip | Merchant Force Circle

How to Calculate Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia can calculate the force at the tool chip interface acting normal to the cutting force of the tool.

To get the answer and workings of the force at the tool chip interface acting normal to the cutting force of the tool 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.
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

Using the Calculator App

Once you have obtained the calculator encyclopedia app, proceed to the Calculator Map. Then, click Materials and Metallurgical under Engineering.

Now, Click on Metal Forming Processes under Materials and Metallurgical

So, Click on Merchant Force Circle under Metal Forming Processes

Now, Click on Force at the Tool Chip Interface acting normal to the Cutting Force of the Tool under Merchant Force Circle

The screenshot below displays the page or activity to enter your values, to get the answer for the force at the tool chip interface acting normal to the cutting force of the tool according to the respective parameters which is the Cutting Force (Horizontal Force Component) (F_c), Cross Force (Vertical Force Component) (F_t) and Rake Angle (α).

Now, enter the values appropriately and accordingly for the parameters as required by the Cutting Force (Horizontal Force Component) (F_c) is 12, Cross Force (Vertical Force Component) (F_t) is 18 and Rake Angle (α) is 22.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the force at the tool chip interface acting normal to the cutting force of the tool and presents the formula, workings and steps too.