Active Earth Pressure Coefficient (Ka):
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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.
The calculator uses the active earth pressure coefficient formula:
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.
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.
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.
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.