| Table: angle for every 12 units of run |
| Rise |
Angle |
Grade |
Notes |
| 0.25 |
1.19º |
2.1% |
Shallower than ADA recommendations |
| 0.50 |
2.39º |
4.2% |
| 0.75 |
3.58º |
6.3% |
| 1.00 |
4.76º |
8.3% |
Matches ADA recommendations |
| 1.25 |
5.95º |
10.4% |
Steeper than ADA recommendations |
| 1.50 |
7.13º |
12.5% |
| 1.75 |
8.30º |
14.6% |
| 2.00 |
9.46º |
16.7% |
| 2.25 |
10.62º |
18.8% |
Too steep for some power wheelchairs |
| 2.50 |
11.77º |
20.8% |
| 2.75 |
12.91º |
22.9% |
| 3.00 |
14.04º |
25.0% |
Only suitable for small bumps and thresholds |
| 3.25 |
15.15º |
27.1% |
| 3.50 |
16.26º |
29.2% |
| 3.75 |
17.35º |
31.3% |
| 4.00 |
18.43º |
33.3% |
| 4.25 |
19.50º |
35.4% |
| 4.50 |
20.56º |
37.5% |
| 4.75 |
21.60º |
39.6% |
| 5.00 |
22.62º |
41.7% |
| 5.25 |
23.63º |
43.8% |
| 5.50 |
24.62º |
45.8% |
| 5.75 |
25.60º |
47.9% |
| 6.00 |
26.57º |
50.0% |
| 6.25 |
27.51º |
52.1% |
| 6.50 |
28.44º |
54.2% |
| 6.75 |
29.36º |
56.3% |
| 7.00 |
30.26º |
58.3% |
| 7.25 |
31.14º |
60.4% |
| 7.50 |
32.01º |
62.5% |
| 7.75 |
32.86º |
64.6% |
| 8.00 |
33.69º |
66.7% |
| Table: angle for every 10 units of run |
| Rise |
Angle |
Grade |
Notes |
| 0.25 |
1.43º |
2.5% |
Shallower than ADA recommendations |
| 0.50 |
2.86º |
5.0% |
| 0.75 |
4.29º |
7.5% |
| 1.00 |
5.71º |
10.0% |
Steeper than ADA recommendations |
| 1.25 |
7.13º |
12.5% |
| 1.50 |
8.53º |
15.0% |
| 1.75 |
9.93º |
17.5% |
| 2.00 |
11.31º |
20.0% |
Too steep for some power wheelchairs |
| 2.25 |
12.68º |
22.5% |
| 2.50 |
14.04º |
25.0% |
| 2.75 |
15.38º |
27.5% |
| 3.00 |
16.70º |
30.0% |
Only suitable for small bumps and thresholds |
| 3.25 |
18.00º |
32.5% |
| 3.50 |
19.29º |
35.0% |
| 3.75 |
20.56º |
37.5% |
| 4.00 |
21.80º |
40.0% |
| 4.25 |
23.03º |
42.5% |
| 4.50 |
24.23º |
45.0% |
| 4.75 |
25.41º |
47.5% |
| 5.00 |
26.57º |
50.0% |
| 5.25 |
27.70º |
52.5% |
| 5.50 |
28.81º |
55.0% |
| 5.75 |
29.90º |
57.5% |
| 6.00 |
30.96º |
60.0% |
| 6.25 |
32.01º |
62.5% |
| 6.50 |
33.02º |
65.0% |
| 6.75 |
34.02º |
67.5% |
| 7.00 |
34.99º |
70.0% |
| 7.25 |
35.94º |
72.5% |
| 7.50 |
36.87º |
75.0% |
| 7.75 |
37.78º |
77.5% |
| 8.00 |
38.66º |
80.0% |
| Table: Ramp angle based on ramp length and rise |
|
Ramp length (feet) |
Rise
(inches)
↓ |
1' |
2' |
3' |
4' |
5' |
6' |
7' |
8' |
9' |
10' |
| 1.0" | 4.8˚ | 2.4˚ | 1.6˚ | 1.2˚ | 1.0˚ | 0.8˚ | 0.7˚ | 0.6˚ | 0.5˚ | 0.5˚ |
|---|
| 1.5" | 7.2˚ | 3.6˚ | 2.4˚ | 1.8˚ | 1.4˚ | 1.2˚ | 1.0˚ | 0.9˚ | 0.8˚ | 0.7˚ |
|---|
| 2.0" | 9.6˚ | 4.8˚ | 3.2˚ | 2.4˚ | 1.9˚ | 1.6˚ | 1.4˚ | 1.2˚ | 1.1˚ | 1.0˚ |
|---|
| 2.5" | 12.0˚ | 6.0˚ | 4.0˚ | 3.0˚ | 2.4˚ | 2.0˚ | 1.7˚ | 1.5˚ | 1.3˚ | 1.2˚ |
|---|
| 3.0" | 14.5˚ | 7.2˚ | 4.8˚ | 3.6˚ | 2.9˚ | 2.4˚ | 2.0˚ | 1.8˚ | 1.6˚ | 1.4˚ |
|---|
| 3.5" | 17.0˚ | 8.4˚ | 5.6˚ | 4.2˚ | 3.3˚ | 2.8˚ | 2.4˚ | 2.1˚ | 1.9˚ | 1.7˚ |
|---|
| 4.0" | 19.5˚ | 9.6˚ | 6.4˚ | 4.8˚ | 3.8˚ | 3.2˚ | 2.7˚ | 2.4˚ | 2.1˚ | 1.9˚ |
|---|
| 4.5" | 22.0˚ | 10.8˚ | 7.2˚ | 5.4˚ | 4.3˚ | 3.6˚ | 3.1˚ | 2.7˚ | 2.4˚ | 2.1˚ |
|---|
| 5.0" | | 12.0˚ | 8.0˚ | 6.0˚ | 4.8˚ | 4.0˚ | 3.4˚ | 3.0˚ | 2.7˚ | 2.4˚ |
|---|
| 5.5" | | 13.2˚ | 8.8˚ | 6.6˚ | 5.3˚ | 4.4˚ | 3.8˚ | 3.3˚ | 2.9˚ | 2.6˚ |
|---|
| 6.0" | | 14.5˚ | 9.6˚ | 7.2˚ | 5.7˚ | 4.8˚ | 4.1˚ | 3.6˚ | 3.2˚ | 2.9˚ |
|---|
| 6.5" | | 15.7˚ | 10.4˚ | 7.8˚ | 6.2˚ | 5.2˚ | 4.4˚ | 3.9˚ | 3.5˚ | 3.1˚ |
|---|
| 7.0" | | 17.0˚ | 11.2˚ | 8.4˚ | 6.7˚ | 5.6˚ | 4.8˚ | 4.2˚ | 3.7˚ | 3.3˚ |
|---|
| 7.5" | | 18.2˚ | 12.0˚ | 9.0˚ | 7.2˚ | 6.0˚ | 5.1˚ | 4.5˚ | 4.0˚ | 3.6˚ |
|---|
| 8.0" | | 19.5˚ | 12.8˚ | 9.6˚ | 7.7˚ | 6.4˚ | 5.5˚ | 4.8˚ | 4.2˚ | 3.8˚ |
|---|
| 8.5" | | 20.7˚ | 13.7˚ | 10.2˚ | 8.1˚ | 6.8˚ | 5.8˚ | 5.1˚ | 4.5˚ | 4.1˚ |
|---|
| 9.0" | | 22.0˚ | 14.5˚ | 10.8˚ | 8.6˚ | 7.2˚ | 6.2˚ | 5.4˚ | 4.8˚ | 4.3˚ |
|---|
| 9.5" | | | 15.3˚ | 11.4˚ | 9.1˚ | 7.6˚ | 6.5˚ | 5.7˚ | 5.0˚ | 4.5˚ |
|---|
| 10.0" | | | 16.1˚ | 12.0˚ | 9.6˚ | 8.0˚ | 6.8˚ | 6.0˚ | 5.3˚ | 4.8˚ |
|---|
| 10.5" | | | 17.0˚ | 12.6˚ | 10.1˚ | 8.4˚ | 7.2˚ | 6.3˚ | 5.6˚ | 5.0˚ |
|---|
| 11.0" | | | 17.8˚ | 13.2˚ | 10.6˚ | 8.8˚ | 7.5˚ | 6.6˚ | 5.8˚ | 5.3˚ |
|---|
| 11.5" | | | 18.6˚ | 13.9˚ | 11.1˚ | 9.2˚ | 7.9˚ | 6.9˚ | 6.1˚ | 5.5˚ |
|---|
| 12.0" | | | 19.5˚ | 14.5˚ | 11.5˚ | 9.6˚ | 8.2˚ | 7.2˚ | 6.4˚ | 5.7˚ |
|---|
| 12.5" | | | 20.3˚ | 15.1˚ | 12.0˚ | 10.0˚ | 8.6˚ | 7.5˚ | 6.6˚ | 6.0˚ |
|---|
| 13.0" | | | 21.2˚ | 15.7˚ | 12.5˚ | 10.4˚ | 8.9˚ | 7.8˚ | 6.9˚ | 6.2˚ |
|---|
| 13.5" | | | 22.0˚ | 16.3˚ | 13.0˚ | 10.8˚ | 9.2˚ | 8.1˚ | 7.2˚ | 6.5˚ |
|---|
| 14.0" | | | | 17.0˚ | 13.5˚ | 11.2˚ | 9.6˚ | 8.4˚ | 7.4˚ | 6.7˚ |
|---|
| 14.5" | | | | 17.6˚ | 14.0˚ | 11.6˚ | 9.9˚ | 8.7˚ | 7.7˚ | 6.9˚ |
|---|
| 15.0" | | | | 18.2˚ | 14.5˚ | 12.0˚ | 10.3˚ | 9.0˚ | 8.0˚ | 7.2˚ |
|---|
| 15.5" | | | | 18.8˚ | 15.0˚ | 12.4˚ | 10.6˚ | 9.3˚ | 8.3˚ | 7.4˚ |
|---|
| 16.0" | | | | 19.5˚ | 15.5˚ | 12.8˚ | 11.0˚ | 9.6˚ | 8.5˚ | 7.7˚ |
|---|
| 16.5" | | | | 20.1˚ | 16.0˚ | 13.2˚ | 11.3˚ | 9.9˚ | 8.8˚ | 7.9˚ |
|---|
| 17.0" | | | | 20.7˚ | 16.5˚ | 13.7˚ | 11.7˚ | 10.2˚ | 9.1˚ | 8.1˚ |
|---|
| 17.5" | | | | 21.4˚ | 17.0˚ | 14.1˚ | 12.0˚ | 10.5˚ | 9.3˚ | 8.4˚ |
|---|
| 18.0" | | | | 22.0˚ | 17.5˚ | 14.5˚ | 12.4˚ | 10.8˚ | 9.6˚ | 8.6˚ |
|---|
| 20.0" | | | | | 19.5° | 16.1° | 13.8° | 12.0° | 10.7° | 9.6° |
|---|
| 22.0" | | | | | 21.5° | 17.8° | 15.2° | 13.2° | 11.8° | 10.6° |
|---|
| 24.0" | | | | | 23.6° | 19.5° | 16.6° | 14.5° | 12.8° | 11.5° |
|---|
| 26.0" | | | | | 25.7° | 21.2° | 18.0° | 15.7° | 13.9° | 12.5° |
|---|
| 28.0" | | | | | 27.8° | 22.9° | 19.5° | 17.0° | 15.0° | 13.5° |
|---|
| 30.0" | | | | | 30.0° | 24.6° | 20.9° | 18.2° | 16.1° | 14.5° |
|---|
| 32.0" | | | | | 32.2° | 26.4° | 22.4° | 19.5° | 17.2° | 15.5° |
|---|
| 34.0" | | | | | 34.5° | 28.2° | 23.9° | 20.7° | 18.3° | 16.5° |
|---|
| 36.0" | | | | | 36.9° | 30.0° | 25.4° | 22.0° | 19.5° | 17.5° |
|---|
| 38.0" | | | | | 39.3° | 31.9° | 26.9° | 23.3° | 20.6° | 18.5° |
|---|
| 40.0" | | | | | 41.8° | 33.7° | 28.4° | 24.6° | 21.7° | 19.5° |
|---|
| 42.0" | | | | | 44.4° | 35.7° | 30.0° | 25.9° | 22.9° | 20.5° |
|---|
| 44.0" | | | | | 47.2° | 37.7° | 31.6° | 27.3° | 24.0° | 21.5° |
|---|
| 46.0" | | | | | 50.1° | 39.7° | 33.2° | 28.6° | 25.2° | 22.5° |
|---|
| 48.0" | | | | | 53.1° | 41.8° | 34.8° | 30.0° | 26.4° | 23.6° |
|---|
The following table compares the angle of a ramp to the force needed to push a 200 lb (91 kg) wheelchair up it. Forces of friction are not included.
| Table: Force needed to push a 200 lb (91kg) wheelchair up a ramp |
| Ramp angle (degrees) |
Force needed to push 200 lb (91kg) |
| 0.5° |
1.7 lb (0.8 kg) |
| 1.0° |
3.5 lb (1.6 kg) |
| 1.5° |
5.2 lb (2.4 kg) |
| 2.0° |
7.0 lb (3.2 kg) |
| 2.5° |
8.7 lb (3.9 kg) |
| 3.0° |
10.5 lb (4.8 kg) |
| 3.5° |
12.2 lb (5.5 kg) |
| 4.0° |
14.0 lb (6.4 kg) |
| 4.5° |
15.7 lb (7.1 kg) |
| 5.0° |
17.4 lb (7.9 kg) |
| 5.5° |
19.2 lb (8.7 kg) |
| 6.0° |
20.9 lb (9.5 kg) |
| 6.5° |
22.7 lb (10.3 kg) |
| 7.0° |
24.4 lb (11.1 kg) |
| 7.5° |
26.2 lb (11.9 kg) |
| 8.0° |
27.9 lb (12.7 kg) |
| 8.5° |
29.6 lb (13.4 kg) |
| 9.0° |
31.4 lb (14.2 kg) |
| 9.5° |
33.1 lb (15.0 kg) |
| 10.0° |
34.8 lb (15.8 kg) |
| 10.5° |
36.6 lb (16.6 kg) |
| 11.0° |
38.3 lb (17.4 kg) |
| 11.5° |
40.0 lb (18.1 kg) |
| 12.0° |
41.8 lb (18.9 kg) |
| 12.5° |
43.5 lb (19.7 kg) |
| 13.0° |
45.2 lb (20.5 kg) |
| 13.5° |
46.9 lb (21.3 kg) |
| 14.0° |
48.7 lb (22.1 kg) |
| 14.5° |
50.4 lb (22.9 kg) |
| 15.0° |
52.1 lb (23.7 kg) |
| 15.5° |
53.8 lb (24.4 kg) |
| 16.0° |
55.5 lb (25.2 kg) |
| 16.5° |
57.3 lb (26.0 kg) |
| 17.0° |
59.0 lb (26.8 kg) |
| 17.5° |
60.7 lb (27.5 kg) |
| 18.0° |
62.4 lb (28.3 kg) |
| 18.5° |
64.1 lb (29.1 kg) |
| 19.0° |
65.8 lb (29.8 kg) |
| 19.5° |
67.5 lb (30.6 kg) |
| 20.0° |
69.2 lb (31.4 kg) |
| 20.5° |
70.9 lb (32.2 kg) |
| 21.0° |
72.5 lb (32.9 kg) |
| 21.5° |
74.2 lb (33.7 kg) |
| 22.0° |
75.9 lb (34.4 kg) |
| 22.5° |
77.6 lb (35.2 kg) |