How to Calculate and Solve for Shear Angle | Mechanics of Chip Formation
Last Updated on April 27, 2024
The image above represents the shear angle. To calculate the shear angle, two essential parameters are needed, and these parameters are the Cutting Ratio (r) and Rake Angle (α).
The formula to calculate shear angle:
φ = tan-1[rcosα / 1 – rsinα]
Where:
φ = Shear Angle
r = Cutting Ratio
α = Rake Angle
Let’s solve an example;
Find the shear angle when the cutting ratio is 24 and the rake angle is 8.
This implies that;
r = Cutting Ratio = 24
α = Rake Angle = 8
φ = tan-1[rcosα / 1 – rsinα]
φ = tan-1[24 x cos8° / 1 – 24 x sin8°]
That is, φ = tan-1[24 x 0.99 / 1 – 24 x 0.139]
φ = tan-1[23.766 / 1 – 3.34]
φ = tan-1[23.766 / -2.34]
So, φ = tan-1[-10.155]
φ = -84.37
Therefore, the shear angle is -84.37°.
Read more: How to Calculate and Solve for Cutting Ratio | Mechanics of Chips Formation
How to Calculate Shear Angle With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the shear angle.
To get the answer and workings of the shear angle 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
So, Click on Shear Angle under Mechanics of Chips Formation
The screenshot below displays the page or activity to enter your values, to get the answer for the shear angle according to the respective parameters which is the Cutting Ratio (r) and Rake Angle (α).
Now, enter the values appropriately and accordingly for the parameters as required by the Cutting Ratio (r) is 24 and Rake Angle (α) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the shear angle and presents the formula, workings and steps too.
