Vertical curves are parabolic geometrical figures used to join one portion of a rising road section (rising gradient) to another portion of the road where the gradient changes. This chapter uses a parabolic equation of order 2, i.e., polynomial equation of order two to model the parameters that enable the setting out of a vertical curve. First, we show how the elements of the parabola are computed from partial differential equations (first and second derivatives). Next, we show how the high (summit) and low (sag) portion of the curves are computed and finally, we give examples based on the rural roads of Australia.

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Vertical Curves

  • John Walker,
  • Joseph Awange

摘要

Vertical curves are parabolic geometrical figures used to join one portion of a rising road section (rising gradient) to another portion of the road where the gradient changes. This chapter uses a parabolic equation of order 2, i.e., polynomial equation of order two to model the parameters that enable the setting out of a vertical curve. First, we show how the elements of the parabola are computed from partial differential equations (first and second derivatives). Next, we show how the high (summit) and low (sag) portion of the curves are computed and finally, we give examples based on the rural roads of Australia.