Relative Compaction given Density Calculator

Relative Compaction Formula:

\[ Rc = \frac{ρd}{γd_{max}} \]

Relative Compaction (Rc):

1. What is Relative Compaction?

Definition: Relative Compaction is the ratio of the density of a compacted soil or aggregate material to its maximum achievable density under specific conditions.

Purpose: It measures how well a soil has been compacted compared to its maximum potential density, expressed as a percentage.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Rc = \frac{ρd}{γd_{max}} \times 100\% \]

Where:

\( Rc \) — Relative Compaction (%)
\( ρd \) — Dry Density (kg/m³)
\( γd_{max} \) — Maximum Dry Density (kg/m³)

Explanation: The dry density is divided by the maximum dry density, then multiplied by 100 to get a percentage value.

3. Importance of Relative Compaction

Details: Proper compaction ensures soil stability, reduces settling, and improves load-bearing capacity in construction projects.

4. Using the Calculator

Tips: Enter the dry density and maximum dry density in kg/m³. Both values must be > 0. The result will be displayed as a percentage.

5. Frequently Asked Questions (FAQ)

Q1: What is a good relative compaction percentage?
A: Typically 90-95% is required for most construction projects, but specific requirements vary by project and material.

Q2: How is maximum dry density determined?
A: It's determined through laboratory tests like the Proctor test (standard or modified).

Q3: What affects relative compaction values?
A: Moisture content, compaction effort, and material type all influence compaction results.

Q4: Can relative compaction exceed 100%?
A: Yes, if field compaction exceeds the laboratory-determined maximum density, though this is uncommon.

Q5: How often should compaction be tested?
A: Testing frequency depends on project specifications, but typically every 100-200 square meters or after each lift.