How to Calculate and Solve for Relative Compaction | Soil Mechanics and Foundation

The image above represents relative compaction. To calculate relative compaction, two essential parameters are needed and these parameters are Field dry density (ρ_{d field}) and Maximum dry density (ρ_{d max}).

The formula for calculating relative compaction:

R_c = ^{ρ_{d field}} / _{ρd max}

Where:

R_c = Relative Compaction
ρ_{d field} = Field Dry Density
ρ_{d max} = Maximum Dry Density

Let’s solve an example;
Find the relative compaction when the field dry density is 44 and the maximum dry density is 11.

This implies that;

ρ_{d field} = Field Dry Density = 44
ρ_{d max} = Maximum Dry Density = 11

That is, R_c = ^{ρ_{d field}} / _{ρd max}
R_c = ⁴⁴ / ₁₁
R_c = 4

Therefore, the relative compaction is 4.

Calculating for the Field Dry Density when the Relative Compaction and the Maximum Dry Density are Given

ρ_{d field} = R_c x ρ_{d max}

Where;

ρ_{d field} = Field Dry Density
R_c = Relative Compaction
ρ_{d max} = Maximum Dry Density

Let’s solve an example;
Find the field dry density when the relative compaction is 25 and the maximum dry density is 4.

This implies that;

R_c = Relative Compaction = 25
ρ_{d max} = Maximum Dry Density = 4

Then, ρ_{d field} = R_c x ρ_{d max}
ρ_{d field} = 25 x 4
ρ_{d field} = 100

Therefore, the field dry density is 100.

Read more: Read more: How to calculate for Tractive Force | Soil Mechanics and Foundation

Calculating for the Maximum Dry Density when the Relative Compaction and the Field Dry Density are Given

ρ_{d max} = ^{ρ_{d field}} / _Rc

Where;

ρ_{d max} = Maximum Dry Density
R_c = Relative Compaction
ρ_{d field} = Field Dry Density

Let’s solve an example;
Find the maximum dry density when the relative compaction is 10 and the field dry density is 40.

This implies that;

R_c = Relative Compaction = 10
ρ_{d field} = Field Dry Density = 40

That is, ρ_{d max} = ^{ρ_{d field}} / _Rc
ρ_{d max} = ⁴⁰ / _10>
ρ_{d max} = 4

Therefore, the maximum dry density is 4.

How to Calculate Relative Compaction in Soil Mechanics and Foundation Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relative compaction.

To get the answer and workings of the relative compaction 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 Relative Compaction under Soil Mechanics and Foundation

The screenshot below displays the page or activity to enter your values, to get the answer for the relative compaction according to the respective parameters which is the Field dry density (ρ_{d field}) and Maximum dry density (ρ_{d max}).

Now, enter the values appropriately and accordingly for the parameters as required by the Field dry density (ρ_{d field}) is 44and Maximum dry density (ρ_{d max}) is 11.

Finally, Click on Calculate

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