Due to a certain loading condition, the initial excess pore water pressure distribution in a 4m thick clay layer is shown in figure p6.2. Given that Cv=0.3mm2/s, determine the degree of consolidation after 100 days of load applications. The diagram illustrates the distribution of pressure within a layered soil system with layers of sand and clay. ### Explanation of the Diagram:- **Layers:** - The topmost layer is sand. - Beneath the sand layer is clay, with a depth of 4 meters (denoted as \( H_0 \)).- **Pressure:** - At the interface between the sand and clay layers, there is a pressure of \( 100 \, \text{kN/m}^2 \) on the left side and \( 80 \, \text{kN/m}^2 \) on the right side.- **Sinusoidal Distribution:** - The pressure distribution within the clay layer follows a sinusoidal pattern. It is represented by the expression \( 80 \sin\left(\frac{\pi z}{2 H_0}\right) \, \text{kN/m}^2 \), where \( z \) is the depth variable.This diagram is Figure P6.2. It visually communicates the variation in stress within a clay layer sandwiched between layers of sand, highlighting the decrease in pressure with depth in a sinusoidal manner.

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Due to a certain loading condition, the initial excess pore water pressure distribution in a 4m thick clay layer is shown in figure p6.2. Given that Cv=0.3mm2/s, determine the degree of consolidation after 100 days of load applications.

Due to a certain loading condition, the initial excess pore water pressure distribution in a 4m thick clay layer is shown in figure p6.2. Given that Cv=0.3mm2/s, determine the degree of consolidation after 100 days of load applications.

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

The diagram illustrates the distribution of pressure within a layered soil system with layers of sand and clay.

### Explanation of the Diagram:

- **Layers:**
- The topmost layer is sand.
- Beneath the sand layer is clay, with a depth of 4 meters (denoted as \( H_0 \)).

- **Pressure:**
- At the interface between the sand and clay layers, there is a pressure of \( 100 \, \text{kN/m}^2 \) on the left side and \( 80 \, \text{kN/m}^2 \) on the right side.

- **Sinusoidal Distribution:**
- The pressure distribution within the clay layer follows a sinusoidal pattern. It is represented by the expression \( 80 \sin\left(\frac{\pi z}{2 H_0}\right) \, \text{kN/m}^2 \), where \( z \) is the depth variable.

This diagram is Figure P6.2. It visually communicates the variation in stress within a clay layer sandwiched between layers of sand, highlighting the decrease in pressure with depth in a sinusoidal manner.

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