Cut-and-fill cross section calculator

Calculate cut cross-sectional area and fill cross-sectional area with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use cut cross-sectional area and fill cross-sectional area to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Common offsets JSON [[offset m,existing elevation m,proposed elevation m],...]
[[0,2,1],[5,0,1],[10,2,1]]
Cut cross-sectional area (m²)
2.5
Fill cross-sectional area (m²)
2.5

Try another scenario

Common offsets JSON [[offset m,existing elevation m,proposed elevation m],...]
[[1,2,1],[5,0,1],[10,2,1]]
Cut cross-sectional area (m²)
2.25
Fill cross-sectional area (m²)
2.25
Calculation method

Calculation method

Cut cross-sectional area (m²)

Integrate positive and negative piecewise-linear elevation difference separately, splitting sign changes.

Fill cross-sectional area (m²)

Integrate positive and negative piecewise-linear elevation difference separately, splitting sign changes.

Symbols and units
a
Common offsets JSON [[offset m,existing elevation m,proposed elevation m],...]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Common offset stations required; existing and proposed profiles linearly interpolated between them. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Common offset stations required; existing and proposed profiles linearly interpolated between them.
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