How to Find Crossing Angle in Railway - Mathematical Problem & Solution

Find the Crossing Angle – Problem & Solution

Mathematical Problem:

Find the crossing angle of 1 in $8\frac{1}{2}$ crossing by using all the three methods(Right angle, centre line and isosceles triangle method):

Use Dot Product to Find the Angle b...

Solution:

1. By using right angle method

We know, $\cot \alpha = N = 8.5$ [N = $8\frac{1}{2}$ = 8.5]

So, Angle of Crossing = $\alpha = 6^{\circ} {42}' {35}''$

2. By using centre line method

We know,

$\cot \frac{\alpha }{2} = 2N = 2 \times 8.5 = 17$

So, Angle of Crossing = $\alpha = 6^{\circ} {43}' {59}''$

3. By using Isosceles triangle method

We know,

Or, $\alpha = 6^{\circ} {44}' {41}''$

Read More:

Angle of Railway Crossing Methods