Soft Clay sat- 19.6 kN/m² Cu= 19.3 kN/m3 4.5-m Find: → Make the necessary calcu lation ard draw the varialion Rankine's active pressure on the wall with depth. nclude the pressure from a waker-filled crack in Find the depth Delermink the total active wall bepore the tensile crack çcurs. Assome tension stresses exist ard do not include he force from waler - filled Crack. - Delermine the total active force force per wall after the tensile of the resultant. Negect tersion shesses and include the of your drawings unit length of the up to which a tensile crack can occur. -> force -> per unit legth of the occurs. Also, find the location gack 아 force from the waer- pilled crack.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
**Title: Analysis of a Retaining Wall in Saturated Soft Clay**

**Diagram Description:**
The diagram shows a 4.5-meter high retaining wall. The wall is homogenous and constructed in saturated soft clay.

**Given Data:**
- Height of Retaining Wall: 4.5 meters
- Material: Homogeneous saturated soft clay
- Saturated Unit Weight (\( \gamma_{\text{sat}} \)): 19.6 kN/m³
- Cohesion (\( c_u \)): 19.3 kN/m² (undrained shear strength)

**Objectives:**

1. **Rankine's Active Pressure Calculation:**
   - Calculate the active pressure from a water-filled tension crack to the failure plane.

2. **Determine Total Active Force:**
   - Calculate the total active force from water-filled tension crack per unit length of the wall after tensile cracks have occurred.
   - Ignore the location of tension stresses and include the force from the water-filled crack in your drawings.

3. **Graphical Representation:**
   - Illustrate the variation of pressure along the wall with depth.
   - Show the depth at which a tensile crack can occur.
   - Determine depth before tensile crack and ensure maximum stresses exist and do not cause cracks.

**Detailed Calculations and Steps:**

- Understand the properties of the soft clay and calculate the pressure distribution along the wall.
- Apply Rankine's theory to determine the potential failure surfaces and lateral earth pressure distribution.

**Important Considerations:**

- Analyze the conditions leading to tensile cracking.
- Include water pressure acting on the wall due to the tension crack being water-filled.
  
This analysis is crucial for designing safe retaining walls in areas with similar geological conditions. Proper consideration of tension cracks and shear strength is essential to prevent structural failures.
Transcribed Image Text:**Title: Analysis of a Retaining Wall in Saturated Soft Clay** **Diagram Description:** The diagram shows a 4.5-meter high retaining wall. The wall is homogenous and constructed in saturated soft clay. **Given Data:** - Height of Retaining Wall: 4.5 meters - Material: Homogeneous saturated soft clay - Saturated Unit Weight (\( \gamma_{\text{sat}} \)): 19.6 kN/m³ - Cohesion (\( c_u \)): 19.3 kN/m² (undrained shear strength) **Objectives:** 1. **Rankine's Active Pressure Calculation:** - Calculate the active pressure from a water-filled tension crack to the failure plane. 2. **Determine Total Active Force:** - Calculate the total active force from water-filled tension crack per unit length of the wall after tensile cracks have occurred. - Ignore the location of tension stresses and include the force from the water-filled crack in your drawings. 3. **Graphical Representation:** - Illustrate the variation of pressure along the wall with depth. - Show the depth at which a tensile crack can occur. - Determine depth before tensile crack and ensure maximum stresses exist and do not cause cracks. **Detailed Calculations and Steps:** - Understand the properties of the soft clay and calculate the pressure distribution along the wall. - Apply Rankine's theory to determine the potential failure surfaces and lateral earth pressure distribution. **Important Considerations:** - Analyze the conditions leading to tensile cracking. - Include water pressure acting on the wall due to the tension crack being water-filled. This analysis is crucial for designing safe retaining walls in areas with similar geological conditions. Proper consideration of tension cracks and shear strength is essential to prevent structural failures.
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