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Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator

Easily calculate and compute coulomb earth pressure with wall friction (δ) & backfill slope (β) calculator with accurate equations, live formulas, and expert guidance.

Vertical wall stem height.

Backfill bulk unit weight.

Soil friction angle.

Interface friction angle (typically δ ≈ 2/3 φ to 3/4 φ).

Ground slope angle behind wall (β < φ).

90° represents a vertical back-face.

Calculated Result
100.9 kN/m

Coulomb Active Thrust (P_a)

Coulomb Active Thrust (P_a)

100.9 kN/m

Coulomb Active Thrust Pa Kn Per M

100.9

Coulomb Coefficient Ka

0.295

Horizontal Thrust Component Kn Per M

94.9

Vertical Downwards Friction Thrust Kn Per M

34.5

100.9 — kN/m

Calculation Breakdown

  1. Applied FormulaComputes Coulomb wedge theory lateral earth pressure taking into account wall-soil interfacial shearing friction (δ), sloping backfill terrain (β), and inclined wall stem backsides.P_a = \frac{1}{2} K_a \gamma H^2, \quad P_h = P_a \cos\delta, \quad P_v = P_a \sin\delta

Coulomb Earth Pressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0255076101Coulomb Active Thrust (P_a)

What Is the Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator?

This tool computes coulomb earth pressure with wall friction (δ) & backfill slope (β) calculator with high precision arithmetic.

How Does the Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator Work?

Computes Coulomb wedge theory lateral earth pressure taking into account wall-soil interfacial shearing friction (δ), sloping backfill terrain (β), and inclined wall stem backsides.

Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator Formula & Variables

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

Pa=12KaγH2,Ph=Pacos⁡δ,Pv=Pasin⁡δP_a = \frac{1}{2} K_a \gamma H^2, \quad P_h = P_a \cos\delta, \quad P_v = P_a \sin\delta

Computes Coulomb wedge theory lateral earth pressure taking into account wall-soil interfacial shearing friction (δ), sloping backfill terrain (β), and inclined wall stem backsides.

How to Use the Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator

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

Step-by-Step Example Calculation

Coulomb Earth Pressure with Wall Friction (δ) & Backfill Slope (β) Calculator Example

Input Values:

wallHeightMeters:6
soilUnitWeightKnPerM3:19
internalFrictionAnglePhiDeg:34
wallFrictionAngleDeltaDeg:20
backfillSlopeAngleBetaDeg:12
wallBackFaceAngleAlphaDeg:90
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kN/m.

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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