Home Back

How To Calculate Coefficient Of Earth Pressure

Active Earth Pressure Coefficient (Ka):

\[ K_a = 1 - \sin(\phi) \]

degrees

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Coefficient of Earth Pressure?

The coefficient of earth pressure (K) represents the ratio of horizontal to vertical stress in soil. The active earth pressure coefficient (Ka) is used when a retaining wall moves away from the soil, causing the soil to expand and reduce lateral pressure.

2. How Does the Calculator Work?

The calculator uses the active earth pressure coefficient formula:

\[ K_a = 1 - \sin(\phi) \]

Where:

Explanation: The equation shows that as the angle of internal friction increases, the active earth pressure coefficient decreases, resulting in lower lateral earth pressure.

3. Importance of Earth Pressure Calculation

Details: Calculating earth pressure coefficients is essential for designing retaining walls, sheet pile walls, basement walls, and other earth-retaining structures to ensure stability and safety.

4. Using the Calculator

Tips: Enter the angle of internal friction in degrees (typically between 25°-45° for common soils). The value must be between 0 and 90 degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of Ka values?
A: For typical soils (φ = 25°-45°), Ka ranges from about 0.58 to 0.29. Lower values indicate less lateral pressure.

Q2: How does this differ from passive earth pressure?
A: Passive earth pressure (Kp = 1 + sinφ) occurs when a wall moves into the soil, causing compression and higher pressure.

Q3: What factors affect the angle of internal friction?
A: Soil type (sand has higher φ than clay), density, moisture content, and particle shape/size all influence φ.

Q4: When is this simplified formula not appropriate?
A: For cohesive soils (clays), sloping backfill, or when wall friction is significant, more complex methods are needed.

Q5: How is this used in retaining wall design?
A: Ka helps calculate the total lateral force on the wall, which is used to check stability against sliding and overturning.

How To Calculate Coefficient Of Earth Pressure© - All Rights Reserved 2025