An Open Access Journal
Table 3 Deflection angle τ for various values of X
From: A new, simple and accurate transition curve type, for use in road and railway alignment design
Projection | Clothoid | Cubic Parabola | SPTC (10 terms) | SPTC (3 terms) | SPTC (2 terms) |
|---|---|---|---|---|---|
X(m) | τ(deg) | τ(deg) | τ(deg) | τ(deg) | τ(deg) |
100 | 0.28648 | 0.28648 | 0.28648 | 0.28648 | 0.28648 |
200 | 1.14601 | 1.14576 | 1.14599 | 1.14599 | 1.14599 |
300 | 2.57936 | 2.57657 | 2.57918 | 2.57918 | 2.57918 |
400 | 4.58955 | 4.57392 | 4.58857 | 4.58857 | 4.58850 |
500 | 7.18453 | 7.12502 | 7.18076 | 7.18075 | 7.18010 |
600 | 10.38118 | 10.20397 | 10.36976 | 10.36965 | 10.36572 |
700 | 14.21129 | 13.76630 | 14.18183 | 14.18089 | 14.16307 |
800 | 18.73093 | 17.74467 | 18.66292 | 18.65686 | 18.59212 |
900 | 24.03667 | 22.04795 | 23.89113 | 23.85986 | 23.66376 |
1000 | 30.29735 | 26.56505 | 30.00000 | 29.86525 | 29.35776 |