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Table 6 Displacement ΔX versus projection X

From: A new, simple and accurate transition curve type, for use in road and railway alignment design

Projection

Approximation

Clothoid

Cubic Parab.

SPTC (10)

SPTC (3)

SPTC (2)

X(m)

ΔX(m)

ΔX(m)

ΔX(m)

ΔX(m)

ΔX(m)

ΔX(m)

100

0.00063

0.00021

0.00062

0.00000

−0.00005

−0.00005

200

0.02000

0.00667

0.01999

0.00000

−0.00005

−0.00004

300

0.15187

0.05062

0.15164

0.00000

−0.00005

0.00018

400

0.64000

0.21327

0.63694

0.00000

−0.00003

0.00301

500

1.95313

0.65053

1.93053

0.00000

0.00025

0.02260

600

4.86000

1.61738

4.74500

0.00000

0.00307

0.11548

700

10.50437

3.49096

10.05396

0.00000

0.02270

0.45372

800

20.48000

6.79180

19.03034

0.00000

0.12536

1.46384

900

36.90563

12.20138

32.90848

0.00000

0.55439

4.03497

1000

62.50000

20.57446

52.78640

0.00000

2.03807

9.73871