Site Grading & Earthwork Calculators

Slope, compaction, and cut-fill balance shape how a site drains and how much earthwork actually costs — this tool works through each figure.

Units
Calculation Method
Section Areas
For prismoidal method only
Cut/Fill Proportion
Bank-to-loose volume increase
Loose-to-compacted volume decrease
Total Volume (bank measure)
–
m³
Surplus / Import Material
–
m³ and t
Cut Volume
–
m³
Fill Volume
–
m³
Loose Volume (for transport)
–
m³
Compacted Fill Volume
–
m³
Volume Balance Status
Average End Area: V = (A1+A2)/2 × L. Prismoidal: V = L/6 × (A1+4×Am+A2) — more accurate for varying cross-sections. Swell factor accounts for bulking when excavated material is loosened (typically 15–30% depending on soil type). Shrinkage accounts for compaction reducing placed volume (typically 5–15%).
Units
Slope Geometry
Terrace / Bench Layout
Auto from rise/run
Slope Ratio (H:V)
–
ratio
Angle
–
°
Terrace Horizontal Spacing
–
m
Accessibility Classification
Erosion Risk Estimate
Slope % = (rise/run)×100. Ratio H:V = run/rise : 1. Angle = atan(rise/run). General guidance: gradients >1:3 (33%) typically require retaining structures or geotechnical engineering input for stability and erosion control. BS 8004 / Eurocode 7 govern slope stability design for critical slopes.
Units
Feature Type
Cross-Section Geometry
Hydraulics (swale only)
Cross-sectional Area
–
m²
Top Width
–
m
Hydraulic Capacity (swale)
–
L/s
Flow Velocity
–
m/s
Sediment Trap Length
–
m
Equivalent Tonnes (berm material)
–
t
Trapezoidal cross-section: Area = (bottomWidth + sideSlope×depth) × depth. Top width = bottomWidth + 2×sideSlope×depth. Manning’s equation: V = (1/n)×R^(2/3)×S^(1/2), Q = V×A, where R = hydraulic radius = A/wetted perimeter. Target velocity <1.5 m/s to avoid erosion in vegetated channels (CIRIA C753).
Units
Material Properties
Compaction Equipment
Achievable Layer Thickness
–
mm (for selected equipment)
Estimated Passes Required
–
passes
Compaction Factor (bank to compacted)
–
ratio
Target Feasibility Check
Recommend field density verification via: Sand Replacement Test, Nuclear Density Gauge, or Plate Load Test. Proctor test (ASTM D698 / AASHTO T99) establishes MDD and OMC in the laboratory; field compaction should target ≥95% MDD within ±2% of OMC for most landscape sub-base applications.
Units
Material & Volume
Haulage Parameters
Number of Loads
–
loads
Total Weight
–
tonnes
Vehicle Trips (round trips)
–
trips
Total Fuel
–
litres
Fuel Cost
–
$ value
Vehicle Hire Cost
–
$ value
Cost per m³
–
$/m³
CO₂ from Haulage
–
kg CO₂
Cycle time per load = (2×distance/speed × 60) + loadingTime minutes. Total vehicle hours = loads × cycle time / 60. CO₂ factor: 2.68 kg CO₂ per litre of diesel (DEFRA conversion factors). Consider minimum order quantities and tipping/disposal fees separately — these are not included in this haulage-only estimate.

How Site Grading and Earthwork Calculations Actually Work

Grading is the part of landscape design most easily overlooked until something goes visibly wrong, standing water where it should have drained away, a slope too steep to mow or plant safely, or an earthworks budget blown by haulage costs nobody accounted for. This guide explains the reasoning behind the core grading calculations that prevent exactly those problems.

Understanding slope as a ratio, percentage, and angle

Slope is fundamentally a comparison between vertical rise and horizontal run, and it can be expressed in several interchangeable ways depending on convention, as a ratio such as one unit of vertical rise for every twenty units of horizontal run, as a percentage calculated by dividing rise by run and multiplying by one hundred, or as an actual angle measured from horizontal. Different design contexts have very different acceptable slope limits, since a gradient comfortable for accessible pedestrian routes is considerably gentler than a gradient acceptable for a mown grass bank, which in turn is gentler than a slope stable enough for dense shrub planting to establish without erosion, meaning the very same numerical slope value can be entirely appropriate for one use and genuinely problematic for another, which is why checking a proposed grade against the specific acceptable limit for its intended use, rather than a single general slope rule, matters so much.

Sizing a swale or berm

A drainage swale, a shallow vegetated channel designed to convey and often partially infiltrate stormwater, is sized around the cross-sectional area needed to convey an expected volume of water without overtopping its banks, while an earth berm built for visual or acoustic screening purposes is sized instead around the height and width needed to achieve its screening function, commonly informed by the barrier insertion loss principles used in acoustic design. Both elements can often be integrated directly into a site’s overall grading plan at relatively low additional cost when planned from the outset, compared to being added afterward as a separate, standalone structure once the main grading has already been finalised.

How soil compaction targets are actually set

Soil compaction is assessed against a laboratory-established relationship between a soil’s dry density and its moisture content at the time of compaction, known as the maximum dry density and optimum moisture content, established through standard laboratory testing methods such as the Proctor compaction test. Field compaction on site is then generally targeted against a percentage of that laboratory-established maximum dry density, with a target of ninety-five percent or more of maximum dry density, achieved within a fairly narrow moisture content range close to the optimum figure, being a commonly referenced target for landscape sub-base applications, since soil compacted either too dry or too wet relative to its optimum moisture content will not achieve adequate density no matter how much compactive effort is applied.

Why cut and fill balance is the number that protects an earthworks budget

Every grading design generates some combination of cut, meaning soil excavated and removed from areas being lowered, and fill, meaning soil imported and placed in areas being raised, and the relationship between these two volumes across the whole site determines whether the project needs to import fill from elsewhere, export surplus material off-site, or achieves a genuine balance where cut volume from one part of the site supplies fill volume needed elsewhere. An imbalanced grading design, even a fairly modest surplus or shortfall in volume terms, tends to translate into a surprisingly significant haulage cost once truck capacity, haul distance, and the sheer number of loads required are all accounted for, along with any tipping fees for surplus material or purchase cost for imported fill, which is precisely why experienced site designers deliberately aim to balance cut and fill volumes wherever the site’s existing topography reasonably allows, checking this balance early enough in the design process that the grading plan can still be adjusted if a significant imbalance is discovered.

Disclaimer

The information and any results referenced on this page are provided for general educational and concept design purposes only, referencing general principles from standard compaction testing methods including the Proctor test. This is not a substitute for a geotechnical investigation, a licensed civil or geotechnical engineer’s grading design, or a certified surveyor’s cut-and-fill calculation. All grading and earthwork designs should be verified against site-specific soil testing and engineering review before construction.