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Pro² · https://pro2.tools/en/levels/benchmark-rl-calculator/
Instructional guide. Examples are not a calculation for your project.

Free benchmark & elevation calculator

Calculate a new point’s elevation from a known benchmark and two staff readings. Free in your browser, with no account or app installation.

Calculate
Free benchmark & elevation calculator

metre (m)

Use a dot or comma for decimals, without thousands separators.

RL · New point elevation
—
HI · Sight-line elevation
—
Δ · Difference from benchmark
—

Complete all three fields.

Save calculations and export results in Pro² for iPhone.

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Browser calculation is free. Pro² has limited free use; unlimited calculations and PNG/PDF export require paid access.

−10⁶ ≤ RL ≤ 10⁶ m · 0 ≤ BS, FS ≤ 10⁴ m
x ∈ {RL, BS, FS}: x = 0 ∨ |x| ≥ 10⁻¹⁸ m

How the numbers fit together

Use upright staffs and one unchanged level setup. HI is the elevation of the horizontal sight line relative to your datum, not the instrument’s height above the ground.

Sight-line elevation
HI = RL + BS
New point elevation
RL′ = HI − FS
Difference from benchmark
Δ = RL′ − RL = BS − FS
Free benchmark & elevation calculatorLevel and upright staffs: BS at the known benchmark, FS at the new point, and the common horizontal sight line. This fixed example is schematic, not to scale.BSFSHIRLRL′
Level and upright staffs: BS at the known benchmark, FS at the new point, and the common horizontal sight line. This fixed example is schematic, not to scale.
RL · Known benchmark elevation
100.000 m
BS · Backsight at the benchmark
1.250 m
FS · Foresight at the new point
0.850 m
HI · Sight-line elevation
101.250 m
RL′ · New point elevation
100.400 m
Δ · Difference from benchmark
+0.400 m

Both modes require a consistent relationship to the same reference. An inverted staff, a benchmark above the line or a changed instrument setup needs an explicitly checked sign convention; the page does not provide an automatic survey-network adjustment.

The browser uses one BS/FS method. The app guide below describes two reference forms with the same arithmetic; the app also supports saved calculations and export.

In the app · English

Tools → Benchmark elevation → Elevation from benchmark

Tools → Benchmark elevation → Elevation from known benchmark

Measurements and result

For arithmetic after a levelling measurement. RL means reduced level: elevation relative to the chosen datum. The phone does not measure the staff or replace a levelling instrument.

Known reference level
Elevation of the benchmark or reference point relative to the datum used for the work.
Instrument / sight-line height
The vertical offset from that reference elevation to the horizontal sight line. It is not an unrelated tripod height above the ground.
Staff reading
Distance downward from the sight line to the target point, for the positive upright-staff convention in this example.

Choose the right setup

The two forms use different field labels but the same arithmetic: known reference elevation + sight-line offset − staff reading. Keep the chosen datum and reading convention consistent.

Read the result

  • The target point’s elevation in the selected dimension format.

A worked example

Two examples using the same line offset and reading but different reference elevations.

Inputs and results
QuantityValue
Line offset; staff reading1.60 m; 1.20 m
Ground reference; raised benchmark0.00 m; 100.00 m
Ground-reference result0.40 m
Other-benchmark result100.40 m

How the numbers fit together

The sight line is 1.60 m above the reference. A reading of 1.20 m places the target 0.40 m above that reference. Add the known elevation to express it in the project datum.

Units, allowances and limits

Use metric or imperial lengths consistently and keep extra precision until the final display. Rounded diagram labels are not a measuring tolerance.

Both modes require a consistent relationship to the same reference. An inverted staff, a benchmark above the line or a changed instrument setup needs an explicitly checked sign convention; the page does not provide an automatic survey-network adjustment.

This is an elevation calculation, not a bubble level or an automatic phone-sensor reading.

On the job

Why subtract the staff reading?

An upright staff measures downward from the sight line to the point. A larger reading places the point lower, for the same line.

Can the reference be zero?

Yes, for relative work with an explicitly chosen local datum. Do not mix that local result with an absolute elevation without the correct offset.

Why subtract the staff reading?
An upright staff measures downward from the sight line to the point. A larger reading places the point lower, for the same line.
Can the reference be zero?
Yes, for relative work with an explicitly chosen local datum. Do not mix that local result with an absolute elevation without the correct offset.
Back to the category

Check your dimensions and layout.

Work with your own measurements for geometry, spacing and levels in Pro² for iPhone.

For iPhone · iOS 18 or later