SOLVETUTORMATH SOLVER

Instrument MI-08-109 · Construction

Rip Rap Calculator

Length, width, depth and stone density in — tons of rip rap out, for a quantity estimate only, not a hydraulic stone-sizing calculation.

Instrument MI-08-109
Sheet 1 OF 1
Rev A
Verified
Type 08 — Erosion Control SER. 2026-08109

Rip rap needed (tons)

10.667

cy = L x W x depth(ft) / 27

6.6667 Volume (cubic yards)
The working Every figure verified twice
  1. cubicYards = 30·6·(12 ⁄ 12) ⁄ 27 = 6.6667
  2. tons = 6.666667·1.6 = 10.667
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

Riprap, also written rip rap, is human-placed rock or other heavy, unconsolidated material used to armor shorelines, streambanks, bridge abutments, and other structures against erosion from moving water, waves, or ice — a protective layer rather than a decorative one. This instrument is a quantity and weight calculator only: give it the area to cover and the depth of stone, and it returns the volume and tonnage to order.

The math follows the same volume-to-weight pattern as other bulk aggregates: length times width times depth, converted to cubic yards, then multiplied by the stone's density to get tons. The built-in density default of 1.6 tons per cubic yard sits at the midpoint of the commonly cited 1.5 to 1.7 range for rip rap — a typical figure that varies by stone size, gradation, and source, so adjust the Material density field if your supplier quotes a different number.

What this instrument does NOT do is determine the correct riprap STONE SIZE for a given site — the diameter of individual stones needed to resist a specific water velocity, slope, and channel geometry is a genuine hydraulic engineering question, governed by methods like the FHWA's HEC-11 design procedure, and is out of scope here. Use this calculator once you (or a hydraulic design already specified for the site) already know what depth and gradation of stone to install, to convert that known area and depth into a tonnage order — not to decide what size material a given streambank or channel actually needs.

yd3=L×W×(d/12)27yd^3 = \frac{L \times W \times (d/12)}{27}tons=yd3×ρtons = yd^3 \times \rho
length, width — the coverage area's footprint, in feet · depth — layer thickness, in inches, converted to feet · density — a disclosed typical 1.6 tons/yd³ default (commonly cited range 1.5-1.7), varying by stone size and gradation · tons — the resulting rip rap weight to order.
  • Enter Area length (ft) and Area width (ft) — the footprint to be covered with rip rap.
  • Enter Depth (in) — the intended thickness of the rip rap layer.
  • Adjust Material density (tons/yd³) if your supplier specifies a different figure than the 1.6 default.
  • Read Volume (cubic yards) and Rip rap needed (tons) beneath the inputs.
  • For determining the correct stone size and layer depth for an actual erosion-control site, consult a hydraulic design following a method like FHWA's HEC-11 rather than relying on this quantity-only tool.

Worked example — a 30 × 6 ft embankment protection strip

Enter 30 into Area length (ft), 6 into Area width (ft), and 12 into Depth (in) — a 12 inch-deep layer of rip rap protecting a stretch of embankment. Volume works out to 30 × 6 × 1 = 180 ft³, which is 6.6667 cubic yards after dividing by 27.

At the default density of 1.6 tons per cubic yard, Rip rap needed (tons) reads 10.6667 — the tonnage to order for this strip, assuming the 12 inch depth and 1.6 tons/yd³ density already match a design or supplier specification for the site. This calculator doesn't determine whether 12 inches and this stone class are actually correct for the water conditions at this location — that's a separate hydraulic design question.

Questions

How is rip rap sized for a specific site's water flow?

That requires a hydraulic design, not this calculator — engineers determine the minimum individual size (often expressed as D50, the median stone diameter) needed to resist a given flow velocity, channel slope, and geometry, following an established method such as the FHWA's HEC-11 design procedure. This instrument only converts an already-known area and depth into a tonnage order; it does not perform that sizing analysis.

Why does rip rap density vary between 1.5 and 1.7 tons per cubic yard?

Because riprap is placed as individual, often irregularly shaped stones rather than a fully packed material, so the void space between stones — and therefore the overall bulk density — shifts with stone size, angularity, and gradation (the mix of stone sizes present). Denser, more tightly graded material sits toward the higher end of that range, while larger, more uniform material with bigger gaps between pieces sits lower.

What's the difference between rip rap and regular crushed stone or gravel?

Rip rap is specifically heavy armor stone selected and placed to resist erosion from moving water, waves, or ice, and is typically much larger and more angular than crushed stone or gravel used for drainage, base, or decorative purposes. The two materials serve different engineering functions even though both are priced and ordered by the ton.

How thick should a rip rap layer typically be?

Layer thickness (often specified as roughly 1.5 to 2 times the maximum stone diameter in a proper hydraulic design) depends on the stone class and the erosion protection the site actually needs, which is determined by the same hydraulic sizing process that determines diameter — not a single universal number. Use the depth specified by your site's design or engineer rather than an assumed figure.

Should I order extra beyond the calculated tonnage?

A modest overage is common practice, since real slopes and embankments are rarely a perfectly uniform rectangle, and settling of the underlying ground during placement can use somewhat more stone than the theoretical flat-area calculation suggests. Confirming delivery logistics and minimum order quantities with your supplier is also worth doing before finalizing an order.

References