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Rankine Lateral Earth Pressure Coefficients (Ka & Kp) Calculator

Easily calculate and compute rankine lateral earth pressure coefficients (ka & kp) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.28 dim

Active Earth Pressure Coeff (K_a)

Active Earth Pressure Coeff (K_a)

0.28 dim

Active Earth Pressure Coeff Ka

0.283

Passive Earth Pressure Coeff Kp

3.54

Total Active Thrust K N Per M

67.1

Total Passive Thrust K N Per M

840.1

0.28 — dim

Calculation Breakdown

  1. Applied FormulaCalculates Rankine active (Ka) and passive (Kp) lateral earth pressure coefficients and resultant wall thrust for smooth vertical retaining walls supporting horizontal granular backfill.K_a = \frac{1 - \sin\phi}{1 + \sin\phi} = \tan^2\left(45^\circ - \frac{\phi}{2}\right), \quad K_p = \frac{1}{K_a}

Rankine Earth Pressure 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 Lateral Earth Pressure Coefficients (Ka & Kp) Calculator?

This tool computes rankine lateral earth pressure coefficients (ka & kp) calculator with high precision arithmetic.

How Does the Rankine Lateral Earth Pressure Coefficients (Ka & Kp) Calculator Work?

Calculates Rankine active (Ka) and passive (Kp) lateral earth pressure coefficients and resultant wall thrust for smooth vertical retaining walls supporting horizontal granular backfill.

Rankine Lateral Earth Pressure Coefficients (Ka & Kp) Calculator Formula & Variables

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

Ka=1−sin⁡ϕ1+sin⁡ϕ=tan⁡2(45∘−ϕ2),Kp=1KaK_a = \frac{1 - \sin\phi}{1 + \sin\phi} = \tan^2\left(45^\circ - \frac{\phi}{2}\right), \quad K_p = \frac{1}{K_a}

Calculates Rankine active (Ka) and passive (Kp) lateral earth pressure coefficients and resultant wall thrust for smooth vertical retaining walls supporting horizontal granular backfill.

How to Use the Rankine Lateral Earth Pressure Coefficients (Ka & Kp) Calculator

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

Step-by-Step Example Calculation

Rankine Lateral Earth Pressure Coefficients (Ka & Kp) Calculator Example

Input Values:

soilFrictionAngleDeg:34
backfillUnitWeightKNM3:19
wallHeightMeters:5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dim.

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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