Survey leveling reduction calculator

Calculate successive reduced levels and final elevation with your own figures.

Your numbers

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

Use successive reduced levels and final elevation to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Starting benchmark elevation (m)
100
Backsights (m)
1.2,1.4,1.1
Foresights (m)
1.1,1.3,1.5
Successive reduced levels (m)
[100.1,100.2,99.8]
Final elevation (m)
99.8
Sum backsights minus sum foresights (m)
-0.2

Try another scenario

Starting benchmark elevation (m)
110.00000000000001
Backsights (m)
1.2,1.4,1.1
Foresights (m)
1.1,1.3,1.5
Successive reduced levels (m)
[110.1,110.2,109.8]
Final elevation (m)
109.8
Sum backsights minus sum foresights (m)
-0.2
Calculation method

Calculation method

Successive reduced levels (m)

Rise/fall per instrument setup=backsight-foresight.

Final elevation (m)

Rise/fall per instrument setup=backsight-foresight.

Sum backsights minus sum foresights (m)

Rise/fall per instrument setup=backsight-foresight.

Symbols and units
a
Starting benchmark elevation (m)
b
Backsights (m)
c
Foresights (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

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. 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. Rise/fall per instrument setup=backsight-foresight.
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