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Ramp calculator

Choose a rise-to-run ratio or calculate the slope of an existing ramp. Lengths exclude landings and transitions.

Calculator

Rise
0.5
Total horizontal run
6
Total sloped length
6.021
Sloped length per run
6.021
Rise / run
0.083
Slope angle
4.764
Run per unit rise
12.000
Sloped length in feet and inches
19 ft 9.04 in

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How this calculator works

Slope is rise divided by horizontal run. Sloped ramp length is the hypotenuse, so it is longer than the run. Splitting a ramp gives two equal sloped segments but does not add the landing space. Under US ADA guidance, a new accessible ramp generally has a maximum running slope of 1:12 and a maximum rise of 30 in per run. Those rules alone do not establish full compliance; Canadian requirements depend on the applicable jurisdiction.

Formula

run = rise x ratio denominator; grade = rise/run; angle = atan(grade); sloped length = sqrt(run² + rise²).

Worked example

A 0.5 m rise at 1:12 needs 6 m horizontal run and 6.021 m of sloped surface. A 3 m rise over 4 m run has a 5 m slope and a 75% grade.

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Frequently asked questions

Is 1:12 the same as 12%?

No. One divided by twelve is 0.08333, or about 8.33%.

Are steep loading ratios accessible?

The 1:6 and 1:4 choices are geometry scenarios only. They are not accessible-ramp recommendations.

What else does a ramp need?

Check landings, run limits, cross slope, clear width, edge protection, handrails and local rules before building.

Sources

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