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24-Ruby IV
October 8, 2023
Question

Track transition curve

  • October 8, 2023
  • 1 reply
  • 3497 views

Where is my or Mathcad error? May be I must have not a & b, but a, b & c?

See please the attach.

Answer please as Prime 6 or pic or pdf

 

1 reply

25-Diamond I
October 8, 2023

You simply wish for far too much!
You think that your cubic depends on two (independent) parameters, but you two parameters a and b are NOT independent and in reality your cubic only depends on one parameter and therefore the solution block cannot find a solution.

Werner_E_1-1696772028869.png

Werner_E_2-1696772180896.png

Werner_E_3-1696772369820.png

 

 

You cannot demand the starting and end points, as well as the curvature in both points (zero and r0) and use a simple cubic as transition curve.
You could, for example, use the x-coordinate of the starting point on the straight line as the second parameter in the solution blocks.

 

Maybe you have more luck using a clothoide instead of a cubic as transition curve.

24-Ruby IV
October 8, 2023

I have a solution where the origin is at the vertex of a cubic parabola and I would like to transfer the coordinates to the center of the circle.

1-5-Tramway-Calc.png1-6-Plot.png1-7-Plot.png21-Physic.png