How to Calculate and Solve for Axial Strain | Rock Mechanics

September 24, 2019March 8, 2024 Loveth Idoko

Last Updated on March 8, 2024

To calculate axial strain, two essential parameters are needed: change in length (ΔL) and length (L).

The formula for calculating the axial strain:

ε_o = ^ΔL / _L

Where;

ε_o = Axial Strain
ΔL = Change in Length
L = Total Length

Let’s solve an example;
Calculate the axial strain when the change in length is 18 and total length is 32.

This implies that;

ΔL = Change in Length = 18
L = Total Length = 32

That is, ε_o = ^ΔL / _L
ε_o = ¹⁸ / ₃₂
ε_o = 0.5625

Therefore, the axial strain is 0.5625.

Calculating the Change in Length when the Axial Strain and Total Length are Given

ΔL = ε_o x L

Where;

ΔL = Change in Length
ε_o = Axial Strain
L = Total Length

Let’s solve an example;
Calculate the change in length when the axial strain is 21 and total length is 9

This implies that;

ε_o = Axial Strain = 21
L = Total Length = 9

Then, ΔL = ε_o x L
ΔL = 21 x 9
ΔL = 189

Therefore, the change in length is 189.

Calculating the Total Length when the Axial Strain and Change in Length are Given

L = ^ΔL / _{ε_o}

Where;

L = Total Length
ε_o = Axial Strain
ΔL = Change in Length

Let’s solve an example;
Calculate the total length when the axial strain is 32 and change in length is 60.

This implies that;

ε_o = Axial Strain = 32
ΔL = Change in Length = 60

So, L = ^ΔL / _{ε_o}
L = ⁶⁰ / ₃₂
L = 1.875

Therefore, the total length is 1.875.

How to Calculate and Solve for Axial Strain Using the Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the axial strain.

To get the answer and workings of the axial strain 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 Axial Strain under Rock Mechanics

The screenshot below displays the page or activity to enter your values, to get the answer for the axial strain according to the respective parameters which are the change in length (ΔL) and length (L).

Now, enter the values appropriately and accordingly for the parameters as required by the change in length (ΔL) is 18 and length (L) is 32.

Finally, Click on Calculate

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