Lateral Earth Pressure Calculator (Rankine Theory)

Introduction

This calculator is designed for geotechnical engineers to compute the lateral earth pressure on retaining walls using Rankine's theory. It helps determine the stability and structural requirements for retaining wall design.

Calculator

Soil Density (kN/m³) *

Wall Height (m) *

Friction Angle (°) *

Results

Active Earth Pressure N/A

Passive Earth Pressure N/A

Data Source and Methodology

All calculations are based on Rankine's theory of earth pressure. For more details, refer to this source. All calculations strictly adhere to the formulas provided by this source.

The Formula Explained

Rankine's theory calculates the lateral earth pressure as follows:

Active Pressure: \( P_a = \frac{1}{2} \cdot \gamma \cdot H^2 \cdot K_a \)
Passive Pressure: \( P_p = \frac{1}{2} \cdot \gamma \cdot H^2 \cdot K_p \)

Glossary of Variables

\( \gamma \): Soil Density (kN/m³)
\( H \): Wall Height (m)
\( K_a \): Active Earth Pressure Coefficient
\( K_p \): Passive Earth Pressure Coefficient

How It Works: A Step-by-Step Example

Suppose the soil density is 18 kN/m³, wall height is 5 m, and friction angle is 30°. The active and passive earth pressures can be calculated using the above formulas.

Frequently Asked Questions (FAQ)

What is Rankine's theory?

Rankine's theory is a method to calculate earth pressure on retaining walls, considering soil properties and wall dimensions.

How is the coefficient of earth pressure determined?

The coefficient of earth pressure (K) is determined by the friction angle of the soil.