Excavation trench spoil volume calculator

Calculate bank spoil and loose spoil with your own figures.

Your numbers

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

Use bank spoil and loose spoil to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

JSON Trench sections [length m,top width m,bottom width m,depth m]
[[20,1.2,0.8,1.5],[10,1,0.6,1]]
Supplied loose-to-bank volume factor
1.25
Bank spoil (m³)
38
Loose spoil (m³)
47.5

Try another scenario

JSON Trench sections [length m,top width m,bottom width m,depth m]
[[20,1.2,0.8,1.5],[10,1,0.6,1]]
Supplied loose-to-bank volume factor
1.4
Bank spoil (m³)
38
Loose spoil (m³)
53.2
Calculation method

Calculation method

Bank spoil (m³)

sum(r[0]*(r[1]+r[2])*r[3]/2 for r in a)

Loose spoil (m³)

b*sum(r[0]*(r[1]+r[2])*r[3]/2 for r in a)

Symbols and units
a
JSON Trench sections [length m,top width m,bottom width m,depth m]
b
Supplied loose-to-bank volume factor

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

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Trapezoidal measured trench sections; factors supplied. Pure volume tally without excavation design or stability judgment. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
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