How to Calculate and Solve for Shear Stress In Slip Direction | Deformation
Last Updated on December 16, 2022
The image of shear stress in slip direction is represented below.
To compute for shear stress in slip direction, three essential parameters are needed and these parameters are Stress (σ), φ and λ.
The formula for calculating shear stress in slip direction:
τR = σcosφcosλ
Where:
τR = Shear Stress in Slip Direction
σ = Stress
φ, λ = Stress Axis Orientation
Let’s solve an example;
Find the shear stress in slip direction when the stress is 4, the stress axis orientation is 2 and the stress axis orientation is 6.
This implies that;
σ = Stress = 4
φ = Stress Axis Orientation = 2
λ = Stress Axis Orientation = 6
τR = σcosφcosλ
τR = 4(cos2°)(cos6°)
τR = 4(0.999)(0.99)
τR = 4(0.99)
τR = 3.97
Therefore, the shear stress in slip direction is 3.97 Pa.
Calculating the Stress when the Shear Stress in Slip Direction and the Stress Axis Orientation is Given.
σ = τR / cosφcosλ
Where:
σ = Stress
τR = Shear Stress in Slip Direction
φ, λ = Stress Axis Orientation
Let’s solve an example;
Find the stress when the shear stress in slip direction is 12, the stress axis orientation is 4 and the stress axis orientation is 2.
This implies that;
σ = Stress = 12
φ = Stress Axis Orientation = 4
λ = Stress Axis Orientation = 2
σ = τR / cosφcosλ
σ = 12 / cos4cos2
σ = 12 / (-0.65)(-0.416)
σ = 12 / 0.2704
σ = 44.37
Therefore, the stress is 44.37.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the shear stress in slip direction.
To get the answer and workings of the shear stress in slip direction 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 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 Deformation under Materials and Metallurgical
Now, Click on Shear Stress in Slip Direction under Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the shear stress in slip direction according to the respective parameter which is the Stress (σ), φ and λ.
Now, enter the values appropriately and accordingly for the parameters as required by the Stress (σ) is 4, φ is 2 and λ is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the shear stress in slip direction and presents the formula, workings and steps too.