Engineering

How to Calculate and Solve for Shear Stress | Mechanical Properties

Last Updated on December 20, 2022

The image above represents shear stress.

To compute for shear stress, two essential parameters are needed and these parameters are Shear Force (Fxand Area (A).

The formula for calculating shear stress:

τ = Fx/A

Where:

τ = Shear Stress
Fx = Shear Force
A = Area

Given an example;
Find the shear stress when the shear force is 32 and the area is 4.

This implies that;

Fx = Shear Force = 32
A = Area = 4

τ = Fx/A
τ = 32/4
τ = 8

Therefore, the shear stress is 8 N.

Calculating the Shear Force when the Shear Stress and Area is Given.

Fx = τ x A

Where:

Fx = Shear Force
τ = Shear Stress
A = Area

Let’s solve an example;
Find the shear force when the shear stress is 9 and the area is 4.

This implies that;

τ = Shear Stress = 9
A = Area = 4

Fx = τ x A
Fx = 9 x 4
Fx = 36

Therefore, the shear force is 36 N.

Calculating the Area when the Shear Stress and the Shear Force is Given.

A = Fx / τ

Where:

A = Area
τ = Shear Stress
Fx = Shear Force

Let’s solve an example;
Find the area when the shear stress is 12 and the shear force is 60.

This implies that;

τ = Shear Stress = 12
Fx = Shear Force = 60

A = Fx / τ
A = 60 / 12
A = 5

Therefore, the area is 5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the shear stress.

To get the answer and workings of the shear stress 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 Mechanical Properties under Materials and Metallurgical

Now, Click on Shear Stress under Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the shear stress according to the respective parameter which is the Shear Force (Fxand Area (A).

Now, enter the values appropriately and accordingly for the parameters as required by the Shear Force (Fx) is 32 and Area (A) is 4.

Finally, Click on Calculate

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

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