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Rankine Active & Passive Earth Pressure Calculator

Easily calculate and compute rankine active & passive earth pressure calculator with accurate equations, live formulas, and expert guidance.

Effective internal friction angle.

Backfill soil unit weight.

Vertical wall height.

Calculated Result
0.31 coefficient

Active Earth Pressure Coeff K_a

Active Earth Pressure Coeff K_a

0.31 coefficient

Active Coefficient Ka

0.3072585245224685

Passive Coefficient Kp

3.254588303299862

At Rest Coefficient K0

0.4700807357667951

Active Thrust K N M

57.55336237461488

0.31 — coefficient

Calculation Breakdown

  1. Applied FormulaCalculates Rankine lateral earth pressure coefficients (active K_a, passive K_p, at-rest K_0) and lateral thrust loads acting on frictionless vertical retaining walls.K_a = \tan^2\left(45^\circ - \frac{\phi}{2}\right), \quad K_p = \tan^2\left(45^\circ + \frac{\phi}{2}\right)

Rankine Ka & Kp Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Active Earth Pressure Coeff K_a

What Is the Rankine Active & Passive Earth Pressure Calculator?

This tool computes rankine active & passive earth pressure calculator with high precision arithmetic.

How Does the Rankine Active & Passive Earth Pressure Calculator Work?

Calculates Rankine lateral earth pressure coefficients (active K_a, passive K_p, at-rest K_0) and lateral thrust loads acting on frictionless vertical retaining walls.

Rankine Active & Passive Earth Pressure Calculator Formula & Variables

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

Ka=tan⁡2(45∘−ϕ2),Kp=tan⁡2(45∘+ϕ2)K_a = \tan^2\left(45^\circ - \frac{\phi}{2}\right), \quad K_p = \tan^2\left(45^\circ + \frac{\phi}{2}\right)

Calculates Rankine lateral earth pressure coefficients (active K_a, passive K_p, at-rest K_0) and lateral thrust loads acting on frictionless vertical retaining walls.

How to Use the Rankine Active & Passive Earth Pressure Calculator

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

Step-by-Step Example Calculation

Rankine Active & Passive Earth Pressure Calculator Example

Input Values:

frictionAngleDeg:32
soilUnitWeightKNM3:18.5
wallHeightM:4.5
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.

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