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Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator

Easily calculate and compute hudson formula rubble-mound breakwater armor rock weight stability calculator with accurate equations, live formulas, and expert guidance.

Design significant or maximum wave height.

Rough quarrystone non-breaking K_D = 4.0; Tetrapods = 8.3; Core-Loc / Xbloc ≈ 16.0.

Standard granite / basalt rock density ≈ 2.65 t/m³.

1:2 slope = 26.56°; 1:1.5 slope = 33.69°.

Calculated Result
10.4 tonnes

Armor Weight (W)

Armor Weight (W)

10.4 tonnes

Individual Armor Unit Weight Tonnes

10.4

Nominal Rock Diameter Dn50 Meters

1.58

Slope Cot Alpha

2

Coastal Engineering Standard

CEM / SPM standard design weight for no-damage condition (< 5% displacement)

10.4 — tonnes

Calculation Breakdown

  1. Applied FormulaSizes individual quarrystone or concrete armor unit weights (W in metric tonnes) required to resist storm wave displacement on rubble-mound breakwaters using the Hudson formula.W = \frac{\rho_r H^3}{K_D \Delta^3 \cot\alpha}, \quad \Delta = \frac{\rho_r}{\rho_w} - 1

Breakwater Armor Rock (Hudson) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.65.27.810Armor Weight (W)

What Is the Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator?

This tool computes hudson formula rubble-mound breakwater armor rock weight stability calculator with high precision arithmetic.

How Does the Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator Work?

Sizes individual quarrystone or concrete armor unit weights (W in metric tonnes) required to resist storm wave displacement on rubble-mound breakwaters using the Hudson formula.

Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator Formula & Variables

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

W=ρrH3KDΔ3cot⁡α,Δ=ρrρw−1W = \frac{\rho_r H^3}{K_D \Delta^3 \cot\alpha}, \quad \Delta = \frac{\rho_r}{\rho_w} - 1

Sizes individual quarrystone or concrete armor unit weights (W in metric tonnes) required to resist storm wave displacement on rubble-mound breakwaters using the Hudson formula.

How to Use the Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator

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

Step-by-Step Example Calculation

Hudson Formula Rubble-Mound Breakwater Armor Rock Weight Stability Calculator Example

Input Values:

designWaveHeightMeters:5
armorStabilityCoefficientKd:4
armorRockDensityTonnesPerM3:2.65
structureSlopeAngleDeg:26.56
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required tonnes.

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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