### Problem Statement3. The uniformly distributed vertical loads on the surface of a clay layer are as shown in the figure below. Determine the vertical stress increase at points A and B due to the loaded area. Points A and B are located at a depth of 5 meters below the ground surface.### Diagram ExplanationThe diagram illustrates a rectangular plan view of a loaded area on the clay layer surface. The dimensions and load distributions are detailed as follows:- The load is applied over a rectangular area. - The load distribution is divided into two distinct sections: - A central section with a uniform load of \( q = 200 \, \text{kN/m}^2 \), extending horizontally 4 meters (2 meters from the center in each direction). - An additional section to the left, with a uniform load of \( q = 150 \, \text{kN/m}^2 \), extending 2 meters.- The total width of the loaded area is 6 meters (2 meters on the left + 4 meters in the central section).- The loaded area extends 3 meters in the y-direction.Points A and B:- Point A is located at the center, directly below the boundary between the 200 kN/m² and 150 kN/m² sections.- Point B is located at the right boundary of the 200 kN/m² section, 3 meters from the vertical edge and within the horizontal plane containing points A and B. Both points A and B are at a depth of 5 meters beneath the ground surface. The challenge involves determining the increase in vertical stress at these points due to the loads applied above.

For the given loaded area .We will first calculate the radial distance from point of consideration ,…

3. The uniformly distributed vertical loads on the surface of a clay layer as shown in Figure below. Determine the vertical stress increase at A and B due to the loaded area. A and B are located at a depth of 5 m below the ground surface. 2m q-200 kN/m² q-150 kN/m² 2m +-2m B 3 m X

3. The uniformly distributed vertical loads on the surface of a clay layer as shown in Figure below. Determine the vertical stress increase at A and B due to the loaded area. A and B are located at a depth of 5 m below the ground surface. 2m q-200 kN/m² q-150 kN/m² 2m +-2m B 3 m X

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

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

### Problem Statement

3. The uniformly distributed vertical loads on the surface of a clay layer are as shown in the figure below. Determine the vertical stress increase at points A and B due to the loaded area. Points A and B are located at a depth of 5 meters below the ground surface.

### Diagram Explanation

The diagram illustrates a rectangular plan view of a loaded area on the clay layer surface. The dimensions and load distributions are detailed as follows:

- The load is applied over a rectangular area.
- The load distribution is divided into two distinct sections:
- A central section with a uniform load of \( q = 200 \, \text{kN/m}^2 \), extending horizontally 4 meters (2 meters from the center in each direction).
- An additional section to the left, with a uniform load of \( q = 150 \, \text{kN/m}^2 \), extending 2 meters.
- The total width of the loaded area is 6 meters (2 meters on the left + 4 meters in the central section).
- The loaded area extends 3 meters in the y-direction.

Points A and B:
- Point A is located at the center, directly below the boundary between the 200 kN/m² and 150 kN/m² sections.
- Point B is located at the right boundary of the 200 kN/m² section, 3 meters from the vertical edge and within the horizontal plane containing points A and B.

Both points A and B are at a depth of 5 meters beneath the ground surface. The challenge involves determining the increase in vertical stress at these points due to the loads applied above.

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