A project with excavation and construction stages will take place at your site (below which lies a saturated clay layer). On March 1, the effective stress at point A (in the middle of the clay layer) is 65 kPa, and the overconsolidation ratio is 1.3. On April 1, the effective stress at point A is 40 kPa. On May 1, the effective stress at point A is 60 kPa. What is the overconsolidation ratio on May 1?
A project with excavation and construction stages will take place at your site (below which lies a saturated clay layer). On March 1, the effective stress at point A (in the middle of the clay layer) is 65 kPa, and the overconsolidation ratio is 1.3. On April 1, the effective stress at point A is 40 kPa. On May 1, the effective stress at point A is 60 kPa. What is the overconsolidation ratio on May 1?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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## Geotechnical Engineering: Overconsolidation Ratio Calculation
**Use 10 kN/m³ for the unit weight of water.**
### Question 3
A project with excavation and construction stages will take place at your site (below which lies a saturated clay layer).
- **On March 1**, the effective stress at point A (in the middle of the clay layer) is 65 kPa, and the overconsolidation ratio is 1.3.
- **On April 1**, the effective stress at point A is 40 kPa.
- **On May 1**, the effective stress at point A is 60 kPa.
**Question:** What is the overconsolidation ratio on May 1?
[Answer Box]
### Explanation:
This problem involves calculating the overconsolidation ratio (OCR) for a given point in a saturated clay layer during different stages of your project. The overconsolidation ratio is a measure of the preloading of a soil, defined as:
\[ \text{OCR} = \frac{\sigma'_{\text{max}}}{\sigma'_0} \]
where:
- \(\sigma'_{\text{max}}\) is the maximum past effective stress the soil has experienced.
- \(\sigma'_0\) is the current effective stress.
To solve for the OCR on May 1:
1. Recognize that the maximum past effective stress (\(\sigma'_{\text{max}}\)) can be deduced from the initial conditions provided on March 1.
2. Use the current effective stress on May 1.
From March 1 data:
\[ \text{OCR} = \frac{\sigma'_{\text{max}}}{65 \text{ kPa}} = 1.3 \]
Thus:
\[ \sigma'_{\text{max}} = 1.3 \times 65 \text{ kPa} = 84.5 \text{ kPa} \]
On May 1, the effective stress (\(\sigma'_0\)) is given as 60 kPa.
Hence:
\[ \text{OCR on May 1} = \frac{84.5 \text{ kPa}}{60 \text{ kPa}} = 1.41 \]
**Answer: 1.41**
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## Geotechnical Engineering: Overconsolidation Ratio Calculation
**Use 10 kN/m³ for the unit weight of water.**
### Question 3
A project with excavation and construction stages will take place at your site (below which lies a saturated clay layer).
- **On March 1**, the effective stress at point A (in the middle of the clay layer) is 65 kPa, and the overconsolidation ratio is 1.3.
- **On April 1**, the effective stress at point A is 40 kPa.
- **On May 1**, the effective stress at point A is 60 kPa.
**Question:** What is the overconsolidation ratio on May 1?
[Answer Box]
### Explanation:
This problem involves calculating the overconsolidation ratio (OCR) for a given point in a saturated clay layer during different stages of your project. The overconsolidation ratio is a measure of the preloading of a soil, defined as:
\[ \text{OCR} = \frac{\sigma'_{\text{max}}}{\sigma'_0} \]
where:
- \(\sigma'_{\text{max}}\) is the maximum past effective stress the soil has experienced.
- \(\sigma'_0\) is the current effective stress.
To solve for the OCR on May 1:
1. Recognize that the maximum past effective stress (\(\sigma'_{\text{max}}\)) can be deduced from the initial conditions provided on March 1.
2. Use the current effective stress on May 1.
From March 1 data:
\[ \text{OCR} = \frac{\sigma'_{\text{max}}}{65 \text{ kPa}} = 1.3 \]
Thus:
\[ \sigma'_{\text{max}} = 1.3 \times 65 \text{ kPa} = 84.5 \text{ kPa} \]
On May 1, the effective stress (\(\sigma'_0\)) is given as 60 kPa.
Hence:
\[ \text{OCR on May 1} = \frac{84.5 \text{ kPa}}{60 \text{ kPa}} = 1.41 \]
**Answer: 1.41**
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