The image above represents shear stress.

To compute for shear stress, three essential parameters are needed and these parameters are **Twisting Moment (M), Radius (r)** and **Polar Moment of Inertia (J).**

The formula for calculating shear stress:

τ = ^{Mr}/_{J}

Where:

τ = Shear Stress

M = Twisting Moment

r = Radius

J = Polar Moment of Inertia

Let’s solve an example;

Find the shear stress when the twisting moment is 12, the radius is 8 and the polar moment of inertia is 14.

This implies that;

M = Twisting Moment = 12

r = Radius = 8

J = Polar Moment of Inertia = 14

τ = ^{Mr}/_{J}

τ = ^{(12)(8)}/_{14}

τ = ^{96}/_{14}

τ = 6.85

Therefore, the **shear stress **is **6.85 Pa.**

**Calculating the Twisting Moment when the Shear Stress, the Radius and the Polar Moment of Inertia is Given.**

M = ^{τJ} / _{r}

Where;

M = Twisting Moment

τ = Shear Stress

r = Radius

J = Polar Moment of Inertia

Let’s solve an example;

Find the twisting moment when the shear stress is 10, the radius is 6 and the polar moment of inertia is 4.

This implies that;

τ = Shear Stress = 10

r = Radius = 6

J = Polar Moment of Inertia = 4

M = ^{τJ} / _{r}

M = ^{10 x 4} / _{6}

M = ^{40} / _{6}

M = 6.67

Therefore, the **twisting moment **is **6.67.**

**Calculating the Radius when the Shear Stress, the Twisting Moment and the Polar Moment of Inertia is Given.**

r = ^{τJ} / _{M}

Where;

r = Radius

τ = Shear Stress

M = Twisting Moment

J = Polar Moment of Inertia

Let’s solve an example;

Find the radius when the shear stress is 8, the twisting moment is 4 and the polar moment of inertia is 3.

This implies that;

τ = Shear Stress = 8

M = Twisting Moment = 4

J = Polar Moment of Inertia = 3

r = ^{τJ} / _{M}

r = ^{8 x 3} / _{4}

r = ^{24} / _{4}

r = 6

Therefore, the **radius **is **6.**

**Calculating the Polar Moment of Inertia when the Shear Stress, the Twisting Moment and the Radius is Given.**

J = ^{Mr} / _{τ}

Where;

J = Polar Moment of Inertia

τ = Shear Stress

M = Twisting Moment

r = Radius

Let’s solve an example;

Find the polar moment of inertia when the shear stress is 12, the twisting moment is 8 and the radius is 4.

This implies that;

τ = Shear Stress = 12

M = Twisting Moment = 8

r = Radius = 4

J = ^{Mr} / _{τ}

J = ^{8 x 4} / _{12}

J = ^{32} / _{12}

J = 2.67

Therefore, the **polar moment of inertia **is **2.67.**

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 **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 **Material Selection**** **under **Materials and Metallurgical**

Now, Click on **Shear Stress **under **Material Selection**

The screenshot below displays the page or activity to enter your values, to get the answer for the shear stress according to the respective parameters which is the **Twisting Moment (M), Radius (r)** and **Polar Moment of Inertia (J).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Twisting Moment (M)** is **12**,** Radius (r) **is **8** and **Polar Moment of Inertia (J)** is **14**.

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.