A granular soil with a Gs = 2.70, e 0.520 is compacted to a moist unit weight of 112.2 psf at a moisture content of 11%. What is the relative density of the compacted sand? 0.880 and e max min

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Statement:**

A granular soil with the following properties:
- Specific Gravity (Gs) = 2.70
- Maximum void ratio (e_max) = 0.880 
- Minimum void ratio (e_min) = 0.520 

This soil is compacted to a moist unit weight of 112.2 psf at a moisture content of 11%.

**Question:** 

What is the relative density of the compacted sand?

*Note:* The relative density (Dr) is a measure of the compactness of a granular soil and is calculated using the void ratios. The formula for relative density is:

\[ Dr (\%) = \left( \frac{e_{max} - e}{e_{max} - e_{min}} \right) \times 100 \]

Where:
- \( e \) is the in-situ void ratio of the compacted soil.
Transcribed Image Text:**Problem Statement:** A granular soil with the following properties: - Specific Gravity (Gs) = 2.70 - Maximum void ratio (e_max) = 0.880 - Minimum void ratio (e_min) = 0.520 This soil is compacted to a moist unit weight of 112.2 psf at a moisture content of 11%. **Question:** What is the relative density of the compacted sand? *Note:* The relative density (Dr) is a measure of the compactness of a granular soil and is calculated using the void ratios. The formula for relative density is: \[ Dr (\%) = \left( \frac{e_{max} - e}{e_{max} - e_{min}} \right) \times 100 \] Where: - \( e \) is the in-situ void ratio of the compacted soil.
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