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.