# How to Calculate and Solve for Shear Modulus | Mechanical Properties

**Last Updated on December 30, 2022**

The image above represents shear modulus.

To compute for shear modulus, two essential parameters are needed and these parameters are **Shear Stress (τ) **and **Shear Strain (γ).**

The formula for calculating shear modulus:

G = ^{τ}/_{γ}

Where:

G = Shear Modulus

τ = Shear Stress

γ = Shear Strain

Given an example;

Find the shear modulus when the shear stress is 15 and the shear strain is 3.

This implies that;

τ = Shear Stress = 15

γ = Shear Strain = 3

G = ^{τ}/_{γ}

G = ^{15}/_{3}

G = 5

Therefore, the **shear modulus **is **5 Pa.**

**Calculating the Shear Stress when the Shear Modulus and the Shear Strain is Given.**

τ = G x γ

Where:

τ = Shear Stress

G = Shear Modulus

γ = Shear Strain

Let’s solve an example;

Find the shear stress when the shear modulus is 20 and the shear strain is 4.

This implies that;

G = Shear Modulus = 20

γ = Shear Strain = 4

τ = G x γ

τ = 20 x 4

τ = 80

Therefore, the **shear stress **is **80 Pa.**

**Calculating the Shear Strain when the Shear Modulus and the Shear Stress is Given.**

γ = ^{τ} / _{G}

Where:

γ = Shear Strain

G = Shear Modulus

τ = Shear Stress

Let’s solve an example;

Find the shear strain when the shear modulus is 14 and the shear stress is 56.

This implies that;

G = Shear Modulus = 14

τ = Shear Stress = 56

γ = ^{τ} / _{G}

γ = ^{56} / _{14}

γ = 4

Therefore, the **shear strain **is **4 Pa.**

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

To get the answer and workings of the shear modulus 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

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**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 Modulus**** **under **Mechanical Properties**

The screenshot below displays the page or activity to enter your values, to get the answer for the shear modulus according to the respective parameter which is the **Shear Stress (τ) **and **Shear Strain (γ).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Shear Stress (τ)** is **15 **and **Shear Strain (γ)** is **3**.

Finally, Click on Calculate

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