Solution: Horizontal Curves Set 1
Problem (1)
Given the following information:
Compute the curve components, endpoint stations, and radial deflections to full stations.
Curve components
Endpoint stationing
Radial deflection equations
Curve table
Station | di, ft | δi | ci, ft | ||||
EC Back | 41+51.429 | 423.242 | = L | 24°15'00.0" | = Δ/2 | 410.719 | = LC |
41+00 | 371.814 | 21°18'12.1" | 363.306 | ||||
40+00 | 271.814 | 15°34'25.6" | 268.479 | ||||
39+00 | 171.814 | 9°50'39.1" | 170.970 | ||||
38+00 | 71.814 | 4°06'52.6" | 71.752 | ||||
BC | 37+28.186 | 0.000 | 0°00'00" | 0.000 |
Deflection angles are all to the right.
Problem (2)
For the conditions below:
What are the deflection angle and radial chord at the BC to curve station 41+00.00?
Compute Δ
Determine BC station
Set up and solve deflection equations for station 41+00
Answer: 319.67 ft at 16°11'54" Left.