How to Calculate and Solve for Poisson’s Ratio | Mechanical Properties
Last Updated on January 5, 2023
The image above represents poisson’s ratio.
To compute for poisson’s ratio, two essential parameters are needed and these parameters are Strains in Directions x (εx) and Strains in Directions z (εz).
The formula for calculating poisson’s ratio:
V = εx/εz
Where:
V = Poisson’s Ratio
εx = Strains in Directions x
εz = Strains in Directions z
Given an example;
Find the poisson’s ratio when the strains in directions x is 10 and the strains in direction z is 2.
This implies that;
εx = Strains in Directions x = 10
εz = Strains in Directions z = 2
V = εx/εz
V = 10/2
V = 5
Therefore, the poisson’s ratio is 5.
Calculating the Strains in Directions x when the Poisson’s Ratio and the Strains in Directions z is Given.
εx = V x εz
Where:
εx = Strains in Directions x
V = Poisson’s Ratio
εz = Strains in Directions z
Let’s solve an example;
Find the strains in directions x when the poisson’s ratio is 15 and the strains in directions z is 2.
This implies that;
V = Poisson’s Ratio = 15
εz = Strains in Directions z = 2
εx = V x εz
εx = 15 x 2
εx = 30
Therefore, the strains in directions x is 30.
Calculating the Strains in Directions z when the Poisson’s Ratio and the Strains in Directions x is Given.
εz = εx / V
Where:
εz = Strains in Directions z
V = Poisson’s Ratio
εx = Strains in Directions x
Let’s solve an example;
Find the strains in directions z when the poisson’s ratio is 10 and the strains in directions x is 40.
This implies that;
V = Poisson’s Ratio = 10
εx = Strains in Directions x = 40
εz = εx / V
εz = 40 / 10
εz = 4
Therefore, the strains in directions z is 4.
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 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 Poisson’s Ratio under Mechanical Properties
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 parameter which is the Strains in Directions x (εx) and Strains in Directions z (εz).
Now, enter the values appropriately and accordingly for the parameters as required by the Strains in Directions x (εx) is 10 and Strains in Directions z (εz) is 2.
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.
