How to Calculate and Solve for Void Ratio | Soil Mechanics and Foundation

The image above represents void ratio. To calculate void ratio, two essential parameters are needed and these parameters are Volume of void (V_v) and Volume of solid (V_s).

The formula for calculating void ratio:

e = ^V_v / _Vs

Where:

e = Void Ratio
V_v = Volume of Void
V_s = Volume of Solid

Let’s solve an example;
Find the void ratio when the volume of void is 10 and the volume of solid is 20.

This implies that;

V_v = Volume of Void = 10
V_s = Volume of Solid = 20

So, e = ^V_v / _Vs
e = ¹⁰ / ₂₀
e = 0.5

Therefore, the void ratio is 0.5.

Calculating the Volume of Void when the Void Ratio and the Volume of Solid are Given

V_v = e x V_s

Where;

V_v = Volume of Void
e = Void Ratio
V_s = Volume of Solid

Let’s solve an example;
Find the volume of void when the void ratio is 12 and the volume of solid is 5.

This implies that;

e = Void Ratio = 12
V_s = Volume of Solid = 5

So, V_v = e x V_s
V_v = 12 x 5
V_v = 60

Therefore, the volume of void is 60.

Calculating the Volume of Solid when the Void Ratio and the Volume of Void are Given

V_s = ^V_v / _e

Where;

V_s = Volume of Solid
e = Void Ratio
V_v = Volume of Void

Let’s solve an example;
Find the volume of soild when the void ratio is 10 and the volume of void is 50.

This implies that;

e = Void Ratio = 10
V_v = Volume of Void = 50

Then, V_s = ^V_v / _e
V_s = ⁵⁰ / ₁₀
V_s = 5

Therefore, the volume of solid is 5.

Read more: How to Calculate and Solve for Bulk Density | Soil Mechanics and Foundation

How to Calculate Void Ratio in Soil Mechanics and Foundation Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the void ratio.

To get the answer and workings of the void 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 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 Agricultural under Engineering.

Now, Click on Soil Mechanics and Foundation under Agricultural

Now, Click on Void Ratio under Soil Mechanics and Foundation

The screenshot below displays the page or activity to enter your values, to get the answer for the void ratio according to the respective parameters which is the Volume of void (V_v) and Volume of solid (V_s).

Now, enter the values appropriately and accordingly for the parameters as required by the Volume of void (V_v)  is 10 and Volume of solid (V_s) is 20.

Finally, Click on Calculate

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