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Vertical Curves
Grading
The Shape Of A Vertical
Curve
Properties Of A Parabola
Highest (Or Lowest Point)
On A Crest Curve
Lengths Of Vertical
Curves
Centrifugal Effects
Sight Distance
Setting Out Vertical
Curves
Example
Setting Out Vertical Curves Example
Design a vertical curve 200 metres long connecting a rising gradient of 2% with a falling gradient of 1.33% which meet in a summit of RL 30.35m, and chainage 2752 metres. Give offsets at 40 metre intervals.
Chainage of A = 2752 - 100 = 2652m.
Chainage of B = 2752 + 100 = 2852m.
RL of A = 30.35 - 2 x 100/100 = 28.35m.
RL of B = 30.35 - 1.33 x 100/100 = 29.02m.
Distance from A of the highest point
| x = | 2 x 200 | = 120.12m |
| (2 + 1.33) |
Height at distance x (A taken as datum)
| H = | 2 x 120.12 | - | (2 +1.33) x 120.122 | = 1.20m |
| 100 | 200 x 200 |
| Point | A | B | ||||||
| Chainage (m) | 2652.00 | 2680.00 | 2720.00 | 2760.00 | 2772.12 | 2800.00 | 2840.00 | 2852.00 |
| x (m) | 0.00 | 28.00 | 68.00 | 108 | 120.12 | 148 | 188 | 200 |
| Grade Level (m) | 28.35 | 28.91 | 29.71 | 30.51 | 30.75 | 31.31 | 32.11 | 32.35 |
| Offset (m) | 0.00 | 0.07 | 0.38 | 0.97 | 1.20 | 1.82 | 2.94 | 3.33 |
| Curve Level (m) | 28.35 | 28.84 | 29.33 | 29.54 | 29.55 | 29.49 | 29.17 | 29.02 |
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