Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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**Problem: Calculating the Increase in Dry Unit Weight of Soil**

*Soil is compacted at the construction site, so the void ratio changes (gets denser) from 0.80 to 0.50. The specific gravity of solids is 2.70.*

Given:
- Void ratio change from 0.80 to 0.50
- Specific gravity of solids = 2.70
- \( VT = 1 \) 
- **(Vs = \(\frac{VT}{1+e}\))**

**Question:**
What is the increase in the dry unit weight of the soil?

**Explanation:**
The problem asks to find how much the dry unit weight of the soil increases due to compaction, which is the process of densifying the soil by reducing its void ratio. Here, the void ratio (e) transitions from 0.80 to 0.50, indicating a denser soil structure.

**Calculation:**
The formula given, \( Vs = \frac{VT}{1+e} \), helps in calculating the volume of solids in a given total volume VT, factoring in the void ratio. Use this to determine the increase in the dry unit weight by comparing the initial and final conditions.
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Transcribed Image Text:**Problem: Calculating the Increase in Dry Unit Weight of Soil** *Soil is compacted at the construction site, so the void ratio changes (gets denser) from 0.80 to 0.50. The specific gravity of solids is 2.70.* Given: - Void ratio change from 0.80 to 0.50 - Specific gravity of solids = 2.70 - \( VT = 1 \) - **(Vs = \(\frac{VT}{1+e}\))** **Question:** What is the increase in the dry unit weight of the soil? **Explanation:** The problem asks to find how much the dry unit weight of the soil increases due to compaction, which is the process of densifying the soil by reducing its void ratio. Here, the void ratio (e) transitions from 0.80 to 0.50, indicating a denser soil structure. **Calculation:** The formula given, \( Vs = \frac{VT}{1+e} \), helps in calculating the volume of solids in a given total volume VT, factoring in the void ratio. Use this to determine the increase in the dry unit weight by comparing the initial and final conditions.
Expert Solution
Check Mark
Step 1: Data given

The formula of dry unit weight of soil is given by,

Civil Engineering homework question answer, step 1, image 1

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