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Table 2 Displacement Y (tangent offset) for various values of X (tangent distance)

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)

Y(m)

Y(m)

Y(m)

Y(m)

Y(m)

100

0.167

0.167

0.167

0.167

0.167

200

1.333

1.333

1.333

1.333

1.333

300

4.502

4.500

4.502

4.502

4.502

400

10.682

10.667

10.681

10.681

10.681

500

20.908

20.833

20.904

20.904

20.903

600

36.271

36.000

36.254

36.254

36.250

700

57.976

57.167

57.924

57.923

57.902

800

87.444

85.333

87.303

87.297

87.206

900

126.491

121.500

126.143

126.105

125.771

1000

177.678

166.667

176.858

176.661

175.595