Simple Height Transitions
This table can be used to transition between two flat areas that are at different heights. Find the Corner Distance required on the table below, then find the Height Gain required. If the height gain is to the left of the distance, you will complete the grade before reaching the end point, which is normally okay.
If the required height gain is to the right, you may need to increase the step value to gain the required height in the short distance you have to work with. This means that instead of increasing each slope by one, you will need to increase them by 2 or more for each section.
Assuming a step value of 1, start from the lower height, and increase each border segment by one until the slope is the Max Slope value. If your distance is on the right side of the max slope value, you will need to do two segments at that maximum value, otherwise just one. Then start decreasing by one again until the endpoint is reached.
If your values don't quite match the table, you may need to repeat a slope segment or two to get the final height right, assuming you have enough distance to work with. Otherwise, you may need to increase the step value for some of the segments.
| Step | Corner Distance: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Max Slope: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||||||||||||
| Height Gain: | 1 | 2 | 4 | 6 | 9 | 12 | 16 | 20 | 25 | 30 | 36 | 42 | 49 | 56 | 64 | 72 | 81 | 90 | 100 | 110 | 121 | 132 | 144 | 156 | |
| 2 | Max Slope: | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | ||||||||||||
| Height Gain: | 2 | 4 | 8 | 12 | 18 | 24 | 32 | 40 | 50 | 60 | 72 | 84 | 98 | 112 | 128 | 144 | 162 | 180 | 200 | 220 | 242 | 264 | 288 | 312 | |
| 3 | Max Slope: | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 | ||||||||||||
| Height Gain: | 3 | 6 | 12 | 18 | 27 | 36 | 48 | 60 | 75 | 90 | 108 | 126 | 147 | 168 | 192 | 216 | 243 | 270 | 300 | 330 | 363 | 396 | 432 | 468 | |
Using the example from the previous page where the height difference is 12 and the distance is 6, the slopes of those 6 borders will be, in this order, 1, 2, 3, 3, 2, 1.
| Step | Corner Distance: | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Max Slope: | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | ||||||||
| Height Gain: | 169 | 182 | 196 | 210 | 225 | 240 | 256 | 272 | 289 | 306 | 324 | 342 | 361 | 380 | 400 | 420 | |
