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Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator

Easily calculate and compute coulomb retaining wall active earth pressure (wall friction & batter) calculator with accurate equations, live formulas, and expert guidance.

Typically δ ≈ (1/2 to 2/3) × φ (concrete against sand).

90° for vertical wall.

Calculated Result
0.31 K_a ratio

Coulomb K_a

Coulomb K_a

0.31 K_a ratio

Coulomb Active Pressure Coefficient Ka

0.313

Horizontal Thrust Component Fraction

0.94

Vertical Friction Benefit Fraction

0.342

Analysis Comparison

Coulomb Ka is lower than Rankine Ka due to beneficial wall-soil friction (delta)

0.31 — K_a ratio

Calculation Breakdown

  1. Applied FormulaSolves Charles-Augustin de Coulomb’s 1776 sliding soil wedge theory computing active earth pressure coefficients accounting for rough wall friction and sloping terrain.K_a = \frac{\sin^2(\beta + \phi)}{\sin^2\beta \sin(\beta - \delta) \left[ 1 + \sqrt{\frac{\sin(\phi + \delta) \sin(\phi - \alpha)}{\sin(\beta - \delta) \sin(\beta + \alpha)}} \right]^2}

Coulomb Active Earth Pressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Coulomb K_a

What Is the Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator?

This tool computes coulomb retaining wall active earth pressure (wall friction & batter) calculator with high precision arithmetic.

How Does the Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator Work?

Solves Charles-Augustin de Coulomb’s 1776 sliding soil wedge theory computing active earth pressure coefficients accounting for rough wall friction and sloping terrain.

Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator Formula & Variables

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

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

Solves Charles-Augustin de Coulomb’s 1776 sliding soil wedge theory computing active earth pressure coefficients accounting for rough wall friction and sloping terrain.

How to Use the Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator

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

Step-by-Step Example Calculation

Coulomb Retaining Wall Active Earth Pressure (Wall Friction & Batter) Calculator Example

Input Values:

soilFrictionAngleDegrees:32
wallFrictionAngleDeltaDegrees:20
wallBackfaceSlopeBetaDegrees:90
backfillSlopeAngleAlphaDegrees:10
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required K_a ratio.

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.

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