Passive Earth Pressure Produced By Soil Cohesion Calculator

Formula Used:

\[ P_{pc} = \frac{(q \times B) - (B \times C \times \tan(\frac{\varphi \times \pi}{180})) + (\frac{\gamma \times B^2 \times \tan(\frac{\varphi \times \pi}{180})}{4})}{2} - (P_{pq} + P_{p\gamma}) \]

Intensity of Loading (q):

kPa

Width of Footing (B):

Cohesion in Soil (C):

kPa

Angle of Shearing Resistance (φ):

Unit Weight of Soil (γ):

N/m³

Passive Earth Pressure Rely on Surcharge (P_pq):

kPa

Passive Earth Pressure dependent on Weight (P_pγ):

kPa

Passive Earth Pressure Dependent on Cohesion (P_pc):

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1. What is Passive Earth Pressure Dependent on Cohesion?

Passive Earth Pressure Dependent on Cohesion (P_pc) represents the component of passive earth pressure that is produced by soil cohesion. It is part of the total passive earth pressure that resists lateral movement of soil masses.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ P_{pc} = \frac{(q \times B) - (B \times C \times \tan(\frac{\varphi \times \pi}{180})) + (\frac{\gamma \times B^2 \times \tan(\frac{\varphi \times \pi}{180})}{4})}{2} - (P_{pq} + P_{p\gamma}) \]

Where:

\( P_{pc} \) — Passive earth pressure dependent on cohesion (kPa)
\( q \) — Intensity of loading (kPa)
\( B \) — Width of footing (m)
\( C \) — Cohesion in soil (kPa)
\( \varphi \) — Angle of shearing resistance (°)
\( \gamma \) — Unit weight of soil (N/m³)
\( P_{pq} \) — Passive earth pressure rely on surcharge (kPa)
\( P_{p\gamma} \) — Passive earth pressure dependent on weight (kPa)

Explanation: This formula calculates the component of passive earth pressure that is specifically attributed to soil cohesion, considering various soil properties and loading conditions.

3. Importance of Passive Earth Pressure Calculation

Details: Accurate calculation of passive earth pressure components is crucial for designing retaining structures, foundation systems, and slope stability analysis. Understanding the cohesion-dependent component helps in proper soil-structure interaction analysis.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure angle of shearing resistance is between 0-90 degrees. All numerical values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is passive earth pressure?
A: Passive earth pressure is the maximum lateral pressure that soil can exert on a structure when the soil is compressed laterally.

Q2: How does cohesion affect passive earth pressure?
A: Cohesion increases the passive earth pressure capacity of soil by providing additional shear strength through particle bonding.

Q3: What is the significance of angle of shearing resistance?
A: The angle of shearing resistance represents the frictional strength of soil and significantly influences the passive earth pressure magnitude.

Q4: When is this calculation typically used?
A: This calculation is used in geotechnical engineering for designing retaining walls, sheet piles, and other earth-retaining structures.

Q5: Are there limitations to this formula?
A: This formula assumes homogeneous soil conditions and may need modification for layered soils or complex loading conditions.