Rip Rap Calculator

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Calculation Results

How It Works

Quantity Estimation

The quantity estimator calculates the volume, weight, and cost of rip rap needed for your project based on:

  • Volume Calculation: Length × Width × Depth = Volume
  • Weight Calculation: Volume × Density = Weight
  • Cost Calculation: Weight × Cost per unit = Total Cost

Engineering Sizing

The engineering sizing calculator determines the appropriate rock size (D₅₀) for hydraulic stability using the Isbash equation:

D₅₀ = (V²) / (2g(SG-1)SF)

Where:

  • V = Flow velocity
  • g = Acceleration due to gravity
  • SG = Specific gravity of rock
  • SF = Safety factor

Example Calculation

Quantity Estimation Example

For a shoreline protection project:

  • Length: 50 ft
  • Width: 10 ft
  • Depth: 1.5 ft
  • Rock Density: 165 lb/ft³
  • Wastage: 10%

Calculations:

  • Volume: 50 × 10 × 1.5 = 750 ft³
  • Weight: 750 × 165 = 123,750 lb = 61.9 tons
  • With wastage: 61.9 × 1.1 = 68.1 tons

Engineering Sizing Example

For a channel with:

  • Flow velocity: 8 ft/s
  • Specific gravity: 2.65
  • Safety factor: 1.5

Calculation:

D₅₀ = (8²) / (2 × 32.2 × (2.65-1) × 1.5) = 64 / (64.4 × 1.65 × 1.5) = 64 / 159.39 = 0.40 ft = 4.8 inches

Material Density Table

Rock Type Density (lb/ft³) Density (kg/m³) Typical D₅₀ Range (inches)
Granite 165-170 2640-2720 6-36
Limestone 160-165 2560-2640 6-30
Sandstone 140-150 2240-2400 6-24
Basalt 175-185 2800-2960 8-36
Quartzite 165-170 2640-2720 6-30

Frequently Asked Questions

What is rip rap?

Rip rap is a layer of large, durable stones or concrete pieces used to protect soil from erosion in areas of concentrated flow or wave energy, such as shorelines, bridge abutments, and stormwater channels.

What does D₅₀ mean?

D₅₀ is the median stone diameter, meaning 50% of the stones (by weight) are larger than this size and 50% are smaller. It’s a key parameter in rip rap design for hydraulic stability.

How thick should a rip rap layer be?

Typically, the rip rap layer thickness should be 1.5 to 2 times the D₅₀ stone diameter. For most applications, a thickness of 12-24 inches is common.

What is the typical wastage percentage for rip rap?

Wastage typically ranges from 5% to 15%, depending on the site conditions, placement method, and rock shape. 10% is a common default value.

How do I select the right safety factor?

Safety factors typically range from 1.2 to 2.0. Use higher values (1.5-2.0) for critical applications or where flow conditions are uncertain, and lower values (1.2-1.5) for less critical applications with well-defined flow conditions.