How to Calculate and Solve for Poisson’s Ratio | Rock Mechanics

The image above represents Poisson’s ratio. To calculate Poisson’s ratio, two essential parameters are needed, and these parameters are lateral strain (ε_l) and axial strain (ε_a). 

The formula for calculating Poisson’s ratio:

v = ^ε_l / _εa

Where:

v = Poisson’s Ratio
ε_l = Lateral Strain
ε_a = Axial Strain

Let’s solve an example;
Find the Poisson’s ratio when the lateral strain is 80 and the axial strain is 4.

This implies that;

ε_l = Lateral Strain = 80
ε_a = Axial Strain = 4

So, v = ^ε_l / _εa
v = ⁸⁰ / ₄
v = 20

Therefore, the Poisson’s ratio is 20.

Calculating the Lateral Strain when the Poisson’s Ratio and Axial Strain are Given

ε_l = v x ε_a

Where:

ε_l = Lateral Strain
v = Poisson’s Ratio
ε_a = Axial Strain

Let’s solve an example;
Find the lateral strain when the Poisson’s ratio is 40 and the axial strain is 9.

This implies that;

v = Poisson’s Ratio = 40
ε_a = Axial Strain = 9

That is, ε_l = v x ε_a
ε_l = 40 x 9
ε_l = 360

Therefore, the lateral strain is 360.

Read more: How to Calculate and Solve for Lateral Strain | Rock Mechanics

Calculating the Axial Strain when the Poisson’s Ratio and Lateral Strain are Given

ε_a  = ^ε_l / _v

Where:

ε_a = Axial Strain
v = Poisson’s Ratio
ε_l = Lateral Strain

Let’s solve an example;
Find the axial strain when the Poisson’s ratio is 20 and the lateral strain is 120.

This implies that;

v = Poisson’s Ratio = 20
ε_l = Lateral Strain = 120

Then, ε_a = ^ε_l / _v
ε_a = ¹²⁰ / ₂₀
ε_a = 60

Therefore, the axial strain is 60.

How to Calculate Poisson’s Ratio Using the Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the Poisson’s ratio.

To get the answer and workings of the Poisson’s ratio 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 1,500 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 Geology under Add-on.

Now, Click on Rock Mechanics under Geology

Now, Click on Poisson’s Ratio under Rock Mechanics

The screenshot below displays the page or activity to enter your values, to get the answer for the Poisson’s ratio according to the respective parameters which are the lateral strain (ε_l) and axial strain (ε_a). 

Now, enter the values appropriately and accordingly for the parameters as required by the lateral strain (ε_l) is 80 and axial strain (ε_a) is 4.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the Poisson’s ratio and presents the formula, workings, and steps too.