3.9 Figure P3.3 shows the plan of a loaded area on the surface of a clay layer. The uniformly distributed vertical loads on the area are also shown. Determine the vertical stress increase at A and B due to the loaded area. A and B are located at a depth of 3m below the ground surface. Uniformly distributed vertical load 42 = 200 kN/m² 3 m m PLAN Uniformly distributed load on a flexible arca 9 100 kN/m² X

Structural Analysis
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Chapter2: Loads On Structures
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**Figure P3.3: Plan of Loaded Area on Clay Surface**

This figure depicts a loaded area on the surface of a clay layer, with the dimensions and distribution of vertical loads clearly defined:

- **Uniformly Distributed Load:** There is a flexible area subjected to a uniformly distributed load, labeled as \( q_1 = 100 \, \text{kN/m}^2 \).
- **Dimensions of the Loaded Area:** The loaded area is a square with a size of \( 3 \, \text{m} \times 3 \, \text{m} \).
- **Additional Load:** An adjacent uniformly distributed vertical load of \( q_2 = 200 \, \text{kN/m}^2 \) is applied next to the main area.
- **Points of Interest:** Points A and B are located below the ground surface. Both points are positioned at a depth of 3 meters.
- **Coordinates:** 
  - Point A is located 2 meters horizontally from the lower edge and right boundary of the loaded area.
  - Point B is directly below the bottom right corner of the loaded area.

**Objective:** 

Determine the increase in vertical stress at points A and B, which are influenced by the loaded area's weight acting on the clay surface.

The diagram provides a top-down view (plan) with an arrow indicating the axis directions for \( x \) (horizontal) and \( y \) (vertical). The layout aids in visualizing the load distribution and positions of points A and B relative to the loaded clay area.
Transcribed Image Text:**Figure P3.3: Plan of Loaded Area on Clay Surface** This figure depicts a loaded area on the surface of a clay layer, with the dimensions and distribution of vertical loads clearly defined: - **Uniformly Distributed Load:** There is a flexible area subjected to a uniformly distributed load, labeled as \( q_1 = 100 \, \text{kN/m}^2 \). - **Dimensions of the Loaded Area:** The loaded area is a square with a size of \( 3 \, \text{m} \times 3 \, \text{m} \). - **Additional Load:** An adjacent uniformly distributed vertical load of \( q_2 = 200 \, \text{kN/m}^2 \) is applied next to the main area. - **Points of Interest:** Points A and B are located below the ground surface. Both points are positioned at a depth of 3 meters. - **Coordinates:** - Point A is located 2 meters horizontally from the lower edge and right boundary of the loaded area. - Point B is directly below the bottom right corner of the loaded area. **Objective:** Determine the increase in vertical stress at points A and B, which are influenced by the loaded area's weight acting on the clay surface. The diagram provides a top-down view (plan) with an arrow indicating the axis directions for \( x \) (horizontal) and \( y \) (vertical). The layout aids in visualizing the load distribution and positions of points A and B relative to the loaded clay area.
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