Given Figure E1, draw the active earth pressure distribution. Use Yw = 9.81 kN/m³. Determine the magnitude and location of the active thrust. Surcharge q=20 kN/m² 6m R75R2 3 m 3 m Figure El Soil 1 Y = 16 kN/m² '=30° c'=0 Soil 2 1 = 20 kN/m² $' = 36° c'=0

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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# Question (1)

### Instructions:
i. Given Figure E1, draw the active earth pressure distribution. Use \( \gamma_w = 9.81 \, \text{kN/m}^3 \).
ii. Determine the magnitude and location of the active thrust.

### Diagram:

**Figure E1 Description:**

- **Retaining Wall:** A vertical wall with a height of 6 meters is depicted. It supports two different soil layers.

- **Surcharge:** At the top of the wall, a surcharge load is applied with \( q = 20 \, \text{kN/m}^2 \).

- **Soil Layers:**
  - **Soil 1:** The top 3-meter layer with properties:
    - Unit weight (\( \gamma \)) = 16 kN/m\(^3\)
    - Internal friction angle (\(\phi'\)) = 30°
    - Cohesion (\(c'\)) = 0 kN/m\(^2\)
  - **Soil 2:** The bottom 3-meter layer with properties:
    - Unit weight (\(\gamma_\text{sat}\)) = 20 kN/m\(^3\) 
    - Internal friction angle (\(\phi'\)) = 36°
    - Cohesion (\(c'\)) = 0 kN/m\(^2\)

Figure E1 illustrates the soil profile and surcharge conditions relevant for the calculations needed to complete the problem.
Transcribed Image Text:# Question (1) ### Instructions: i. Given Figure E1, draw the active earth pressure distribution. Use \( \gamma_w = 9.81 \, \text{kN/m}^3 \). ii. Determine the magnitude and location of the active thrust. ### Diagram: **Figure E1 Description:** - **Retaining Wall:** A vertical wall with a height of 6 meters is depicted. It supports two different soil layers. - **Surcharge:** At the top of the wall, a surcharge load is applied with \( q = 20 \, \text{kN/m}^2 \). - **Soil Layers:** - **Soil 1:** The top 3-meter layer with properties: - Unit weight (\( \gamma \)) = 16 kN/m\(^3\) - Internal friction angle (\(\phi'\)) = 30° - Cohesion (\(c'\)) = 0 kN/m\(^2\) - **Soil 2:** The bottom 3-meter layer with properties: - Unit weight (\(\gamma_\text{sat}\)) = 20 kN/m\(^3\) - Internal friction angle (\(\phi'\)) = 36° - Cohesion (\(c'\)) = 0 kN/m\(^2\) Figure E1 illustrates the soil profile and surcharge conditions relevant for the calculations needed to complete the problem.
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