consolidation soil شرينشمحيي ### Consolidation of Clay Layer with Double-Way Drainage**Problem Statement:**A clay layer with double-way drainage whose total consolidation settlement under a given load is expected to be 100 mm. The consolidation settlement of the layer is 20 mm after 185 days of the load application.(Answer any 2 only)1. How many years will be required for 50 mm settlement?2. How much settlement will occur in 18 months?3. If the same clay layer soil under the same loading condition (and the same $C_v$ value) but with single-way drainage. How many years will be required for 50 mm settlement?---**Approach for Solving:**To solve these questions, it's essential to understand the basic principles of consolidation settlement and the role of drainage conditions:1. **Double-Way Drainage:** - Total expected settlement: 100 mm. - Settlement after 185 days for double-way drainage: 20 mm. 2. **Understanding Settlement Rate:** - Using the given data, the consolidation settlement rate can be found. - From known consolidation theories, compute the times for different settlements.3. **Single-Way Drainage:** - Consolidation duration with single-way drainage is typically four times longer compared to double-way drainage.**Detailed Steps to Solve:**1. **Determine Effective Time for Double-Way Drainage:** $ t_1 = 185 \text{ days} \text{ for } 20 \text{ mm of settlement}$.2. **Calculate the Time for 50 mm Settlement:** Use the proportion of settlement to time, noting it's a non-linear relationship governed by consolidation theory.3. **Extrapolate Using the Consolidation Equation:** With the known variables, calculate the anticipated times. 4. **Adjust for Single-Way Drainage:** Multiple the calculated time (from double-way drainage) by four to adjust for single-way drainage effect.These calculations involve core consolidation theories and equations such as those by Terzaghi.**Figures and Diagrams:**This exercise does not include specific graphical data, but students should use standard consolidation graphs if necessary to visualize concepts such as degree of consolidation over time and how it varies with drainage conditions.---This overview can guide learners in understanding the process and steps needed to solve consolidation settlement problems in geotechnical engineering, emphasizing the influence of drainage conditions on

Answered: Image /qna-images/answer/da053925-26ba-478a-a381-82dbce1df767.jpg

B) A clay layer with double-way drainage whose total consolidation settlement under a given load is expected to be 100 mm. Consolidation settlement of the layer is (20) mm after (185) days of the load application. (answer 2 only) 1- How many years will be required for (50) mm settlement? 2- How much settlement will occur in 18 months? 3- If the same clay layer soil under the same loading condition (and the same C, value) but with single-way drainage. How many years will be required for (50) mm settlement? Þol VISTE 10.101

B) A clay layer with double-way drainage whose total consolidation settlement under a given load is expected to be 100 mm. Consolidation settlement of the layer is (20) mm after (185) days of the load application. (answer 2 only) 1- How many years will be required for (50) mm settlement? 2- How much settlement will occur in 18 months? 3- If the same clay layer soil under the same loading condition (and the same C, value) but with single-way drainage. How many years will be required for (50) mm settlement? Þol VISTE 10.101

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Calculation of Settlement

The vertical displacement of the structural foundation due to the loading from the superstructure is known as settlement. It is due to the reduction of air voids present in the soil. The amount of vertical displacement depends on the bearing capacity of the soil on which the foundation is laid. The effect of the settlement depends on the magnitude of settlement, uniformity, and the structural design of the structure. The maximum allowable settlement for residential and office buildings should be less than 18 mm, for industrial buildings, it is 38 mm and for commercial buildings, it is 25 mm.

Question

consolidation soil شرينشمحيي

### Consolidation of Clay Layer with Double-Way Drainage

**Problem Statement:**
A clay layer with double-way drainage whose total consolidation settlement under a given load is expected to be 100 mm. The consolidation settlement of the layer is 20 mm after 185 days of the load application.

(Answer any 2 only)

1. How many years will be required for 50 mm settlement?
2. How much settlement will occur in 18 months?
3. If the same clay layer soil under the same loading condition (and the same $C_v$ value) but with single-way drainage. How many years will be required for 50 mm settlement?

---

**Approach for Solving:**

To solve these questions, it's essential to understand the basic principles of consolidation settlement and the role of drainage conditions:

1. **Double-Way Drainage:**
- Total expected settlement: 100 mm.
- Settlement after 185 days for double-way drainage: 20 mm.

2. **Understanding Settlement Rate:**
- Using the given data, the consolidation settlement rate can be found.
- From known consolidation theories, compute the times for different settlements.

3. **Single-Way Drainage:**
- Consolidation duration with single-way drainage is typically four times longer compared to double-way drainage.

**Detailed Steps to Solve:**
1. **Determine Effective Time for Double-Way Drainage:**
$ t_1 = 185 \text{ days} \text{ for } 20 \text{ mm of settlement}$.

2. **Calculate the Time for 50 mm Settlement:**
Use the proportion of settlement to time, noting it's a non-linear relationship governed by consolidation theory.

3. **Extrapolate Using the Consolidation Equation:**
With the known variables, calculate the anticipated times.

4. **Adjust for Single-Way Drainage:**
Multiple the calculated time (from double-way drainage) by four to adjust for single-way drainage effect.

These calculations involve core consolidation theories and equations such as those by Terzaghi.

**Figures and Diagrams:**
This exercise does not include specific graphical data, but students should use standard consolidation graphs if necessary to visualize concepts such as degree of consolidation over time and how it varies with drainage conditions.

---

This overview can guide learners in understanding the process and steps needed to solve consolidation settlement problems in geotechnical engineering, emphasizing the influence of drainage conditions on

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