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Ramp Calculator

Select the mode and input required parameters in their respective fields. The tool will instantly calculate the slope, run, and length of the ramp along with other related parameters.

Advance

Simple

Application:

Width:

m ▾

Width (a):

m ▾

Units (b):

m ▾

Rise (w):

m ▾

Related

Wheelchair Ramp Slope Calculator

Our slope ramp calculator performs the calculations needed to design a ramp. Using its results, you can construct a ramp suitable for wheelchair access.

ADA Ramp Slope Measurements

The Americans with Disabilities Act (ADA) requires ramps with a consistent slope. Standard ramp slopes include:

Ramp Slope Type	Rise:Run	Slope %	Slope Angle
Maximum	1:12	8.33	4.76°
Comfortable	1:16	6.25	3.58°
Minimum	1:20	5	2.86°

How To Calculate Ramp Slope

The ramp slope can be calculated using several methods, depending on what measurements you have.

Rise to Run Ratio

Shows how much the ramp rises for every unit of horizontal distance.

Slope (Ratio) = Rise : Run

Common ratios: 1:8, 1:12, 1:20

Angle

The slope angle is formed between the horizontal run and ramp surface.

Slope (Angle) = arctan(Rise / Run)

Slope Percentages

Ramp slopes are often expressed as percentages:

Slope (%) = (Rise / Run) × 100%

Slope (%) = 100% × tan(angle)

Hypotenuse Formula

Using the Pythagorean theorem for ramp length:

Hypotenuse² = Rise² + Run²

Run = √(Hypotenuse² - Rise²)

Recommended Wheelchair Ramp Slope Angles

4.8°: Recommended ADA slope for general wheelchair use
7°: Suitable for manual wheelchair users
10°: Better for manual wheelchair users with a strong attendant
12°: Recommended for power wheelchair use
15°: Suitable for ramps in restricted spaces

Wheelchair Ramp Length

To calculate ramp length, the vertical rise from the ground is required. Otherwise, use the ramp calculator for instant results.

4.8" rise: Divide the rise by 1; ramp height = 4.8"
7" rise: Divide the rise by 1.5; ramp height = 4.6"
10" rise: Divide the rise by 2; ramp height = 5"
12" rise: Divide the rise by 3; ramp height = 4"
15" rise: Divide the rise by 3; ramp height = 6"

How Does Ramp Calculator Work?

Our ADA ramp slope calculator computes slope and ramp dimensions instantly.

Input

Choose mode: "Simple" or "Advanced"

Simple Mode:

Select Application and Ramp Type
Enter Rise and its unit
Click Calculate

Advanced Mode:

Enter Rise, Run, Width, and units
Click Calculate

Output

Ramp slope
Angle of deflection (rise to slope)
Angle of elevation (run to slope)
Surface area
Surface-to-volume ratio
Volume under the ramp
Step-by-step calculation details

FAQs

What Is The Slope Requirement For OSHA Ramp?

OSHA standard ramp incline is 1 vertical to 3 horizontal. If the incline ratio is 1:8, the ramp should be triangular, with equal gaps between corners.

What Is a 100% Ramp Slope?

A 100% slope corresponds to a 45° angle:

Slope % = 100% × tan(Slope Angle)

Slope Angle = arctan(1) = 45°

References

Wikipedia – Inclined Plane Terminology & Analysis

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