Ramp Calculator logoRamp Calculator/Rise, run, length & grade

Ramp Calculator

Enter the Rise, then a target Slope or an available Run. You get Run, Ramp Length and Slope at once.

Calculator

Input panel
Units
Rise (vertical height, in)

Solve by
Slope presets
Target Slope (1 : N)

Results Live
Run flat ground 360.00in
Ramp Length sloped surface 361.25in
Slope 1:12.00 · 8.33% · 4.76°
Run & Ramp Length per slope, for your Rise
SlopeRun (in)Ramp Length (in)
1:12360.00361.25
1:16480.00480.94
1:20600.00600.75
2:12 residential180.00182.48
3:12 loading120.00123.69

Recommended ramp slope by use case

Find your situation in the table, then read its block below for a worked example. Every slope is shown three ways that mean the same thing: as a ratio, a percent grade and an angle.

Use caseRatioPercent gradeAngle
Wheelchair & accessibility ramps1:128.3%4.76°
Car & vehicle ramps1:6.6715%8.53°
Shed & deck ramps1:425%14.04°
Trailer & loading ramps1:520%11.31°
Dog & pet ramps1:2.7536.4%20°
Boat ramps1:7.6913%7.41°

Wheelchair & accessibility ramps

1:12 maximum (1:16 for a comfortable self-push)

Example: a 24 in rise needs about a 24.0 ft run and a 24.1 ft ramp length.

The 2010 ADA standard caps a new ramp at 1:12, the steepest a person can safely self-propel; handrails are required once the rise is over 6 in.

Car & vehicle ramps

up to about 15% (1:6.7)

Example: a 18 in rise needs about a 10.0 ft run and a 10.1 ft ramp length.

A low front bumper or spoiler scrapes on anything steeper, so ~15% is the practical ceiling for a driveway or service ramp.

Shed & deck ramps

around 3:12 (25%) or gentler

Example: a 12 in rise needs about a 4.0 ft run and a 4.1 ft ramp length.

Past ~25% a loaded wheelbarrow, mower or hand truck gets hard to control on the way down, so 3:12 is the working limit.

Trailer & loading ramps

about 1:5 (20%), gentler for low clearance

Example: a 15 in rise needs about a 6.3 ft run and a 6.4 ft ramp length.

A long wheelbase with low ground clearance grounds out on the break-over angle, so the ramp must stay long and gentle enough for the chassis to clear the joint.

Dog & pet ramps

a gentle 18–22° (drop lower for senior dogs)

Example: a 12 in rise needs about a 2.8 ft run and a 2.9 ft ramp length.

Steeper than ~22° and most dogs balk or slip; senior dogs and any with hip or joint trouble need it shallower still.

Boat ramps

12–15% (about 1:8 to 1:7) at the launch

Example: a 13 in rise needs about a 8.3 ft run and a 8.4 ft ramp length.

It has to be deep enough to float the hull yet flat enough that the tow vehicle keeps traction on a wet, often slick surface. The usable band is 12–15%.

How to choose the right ramp slope

The table gives you a target, but the slope you can actually build is whatever your space allows. Work through it in four steps:

  1. 1. Measure the rise. The vertical height from the lower ground to the landing: a doorway threshold, a truck bed, a couch. Everything else follows from it.
  2. 2. Pick the steepest slope your use allows. Read it off the table above: 1:12 for a wheelchair, ~15% for a car, ~20° for a dog. That ceiling is set by the user, not the site.
  3. 3. Back out the required run and length. Run = rise ÷ slope; the ramp length is the slightly longer sloped side. A 24 in rise at 1:12 needs a 24 ft run, and the calculator does this for you.
  4. 4. If the space can't fit that run, don't just steepen the ramp past the limit. Use a gentler slope where you can, or add a flat landing and turn the ramp back on itself (a switchback) to fit the length into the footprint you have.

That chain (rise → acceptable slope → required run and length → adjust for the space) is all there is to it. The numbers above are starting points; your measured rise and available run decide the rest.

How it works

Every ramp is a right triangle. The rise is the vertical height, the run is the horizontal distance along the ground, and the ramp length is the sloped side connecting them.

Diagram: every ramp is a right triangle. This ramp calculator solves the rise, run, ramp length and slope angle.24°RunRiseRamp Length
Rise, run and ramp length are the three sides of the same right triangle.

Slope is one idea with three interchangeable forms:

  • Ratio: 1 : N (rise : run), e.g. 1:12
  • Percent (grade): rise ÷ run × 100
  • Angle: arctan(rise ÷ run), in degrees

They all describe the same steepness, which is why a 100% grade equals 45° (the rise equals the run), and 1:12 equals 8.3% equals 4.76°. Cross-slope (the sideways tilt added for drainage) is a separate measurement, capped at 1:48 under the 2010 ADA standard.

Diagram: one ramp slope written three equivalent ways. The ratio 1:12, the percent grade 8.3%, and the angle 4.76 degrees all describe the same steepness.1:128.3%4.76°
One slope, three labels: ratio, percent grade and angle are the same steepness.

Frequently asked questions

How do I calculate ramp slope?+

Slope is rise divided by run. A 30 in rise over a 360 in run is 30 ÷ 360 = 1:12 = 8.3%.

How do I calculate ramp gradient or grade percentage?+

Gradient (percent grade) is rise ÷ run × 100. The same 1:12 ramp works out to 8.3%.

How do I calculate ramp length?+

Ramp length is the sloped surface, the hypotenuse: length = √(rise² + run²). It is always a little longer than the run.

What does rise over run mean?+

Rise is the vertical height the ramp climbs; run is the horizontal distance it covers along the ground. Slope is simply rise over run.

What is the difference between run and ramp length?+

Run is measured flat along the ground; ramp length is measured up the slope itself. The steeper the ramp, the bigger the gap between them.