Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:### 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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