Skip to main content

Coulomb Lateral Earth Pressure Calculator

Easily calculate and compute coulomb lateral earth pressure calculator with accurate equations, live formulas, and expert guidance.

Backfill shear friction.

Friction between soil and concrete stem (typically 2/3 phi).

Surcharge ground inclination above wall.

Vertical stem = 0°.

Calculated Result
0.29 coefficient

Coulomb Active Coefficient K_a

Coulomb Active Coefficient K_a

0.29 coefficient

Coulomb Ka

0.28679770539773153

Friction Angle Deg

34

Wall Friction Delta Deg

22

0.29 — coefficient

Calculation Breakdown

  1. Applied FormulaSizes retaining wall lateral earth pressures using Coulomb’s wedge equilibrium theory incorporating wall interface friction (δ), backfill slope (β), and wall batter angle (θ).K_a = \frac{\cos^2(\phi - \theta)}{\cos^2\theta \cos(\theta + \delta) \left[ 1 + \sqrt{\frac{\sin(\phi + \delta) \sin(\phi - \beta)}{\cos(\theta + \delta) \cos(\theta - \beta)}} \right]^2}

Coulomb Earth Pressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Coulomb Active Coefficient K_a

What Is the Coulomb Lateral Earth Pressure Calculator?

This tool computes coulomb lateral earth pressure calculator with high precision arithmetic.

How Does the Coulomb Lateral Earth Pressure Calculator Work?

Sizes retaining wall lateral earth pressures using Coulomb’s wedge equilibrium theory incorporating wall interface friction (δ), backfill slope (β), and wall batter angle (θ).

Coulomb Lateral Earth Pressure Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Ka=cos⁡2(ϕ−θ)cos⁡2θcos⁡(θ+δ)[1+sin⁡(ϕ+δ)sin⁡(ϕ−β)cos⁡(θ+δ)cos⁡(θ−β)]2K_a = \frac{\cos^2(\phi - \theta)}{\cos^2\theta \cos(\theta + \delta) \left[ 1 + \sqrt{\frac{\sin(\phi + \delta) \sin(\phi - \beta)}{\cos(\theta + \delta) \cos(\theta - \beta)}} \right]^2}

Sizes retaining wall lateral earth pressures using Coulomb’s wedge equilibrium theory incorporating wall interface friction (δ), backfill slope (β), and wall batter angle (θ).

How to Use the Coulomb Lateral Earth Pressure Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Coulomb Lateral Earth Pressure Calculator Example

Input Values:

frictionAngleDeg:34
wallFrictionDeltaDeg:22
backfillSlopeBetaDeg:10
wallBatterThetaDeg:0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required coefficient.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Explore more tools and calculators in Physics Calculators