Find the Crossing Angle – Problem & Solution
Mathematical Problem:
Find the crossing angle of 1 in [latex] 8\frac{1}{2} [/latex] crossing by using all the three methods(Right angle, centre line and isosceles triangle method):
Solution:
1. By using right angle method
We know, [latex] \cot \alpha = N = 8.5 [/latex] [N = [latex] 8\frac{1}{2} [/latex] = 8.5]
So, Angle of Crossing = [latex] \alpha = 6^{\circ} {42}’ {35}” [/latex]
2. By using centre line method
We know,
[latex] \cot \frac{\alpha }{2} = 2N = 2 \times 8.5 = 17 [/latex]
So, Angle of Crossing = [latex] \alpha = 6^{\circ} {43}’ {59}” [/latex]
3. By using Isosceles triangle method
We know,
Or, [latex] \alpha = 6^{\circ} {44}’ {41}” [/latex]
Read More:
Angle of Railway Crossing Methods