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Earth Pressure Calculation

Geotechnical Earth Pressures Calculator

Geotechnical Earth Pressures Calculator

Calculate active, passive, and at-rest earth pressures for retaining structures

Active Pressure
Passive Pressure
At-Rest Pressure

Soil Parameters

Wall Parameters

Earth Pressure Theory

Active pressure occurs when a retaining wall moves away from the soil, passive pressure when the wall moves into the soil, and at-rest pressure when the wall doesn’t move.

Ka = (1 – sinφ) / (1 + sinφ) for active pressure

Kp = (1 + sinφ) / (1 – sinφ) for passive pressure

K0 = 1 – sinφ for at-rest pressure (Jaky’s formula)

Pressure Visualization

Earth Pressures

Pressure Type Coefficient Total Force (kN/m)
Active (Ka) 0.33 61.88
Passive (Kp) 3.00 562.50
At-Rest (K0) 0.50 112.50

Design Recommendations

Based on the calculated pressures:

  • Factor of Safety against sliding: 2.5
  • Factor of Safety against overturning: 3.2
  • Maximum soil pressure: 210 kPa

Calculation Steps:

1. Ka = (1 – sin(30°)) / (1 + sin(30°)) = 0.33

2. Active force = 0.5 × Ka × γ × H² = 0.5 × 0.33 × 18 × 5² = 61.88 kN/m

3. Kp = (1 + sin(30°)) / (1 – sin(30°)) = 3.00

4. Passive force = 0.5 × Kp × γ × H² = 0.5 × 3.00 × 18 × 5² = 562.50 kN/m

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