FlexLine plus, Programs
104
Vertical geometry
elements
For onboard input Road 3D supports the following elements for vertical alignments.
Spiral /
Clothoid
A spiral is a transition curve whose radius changes along its length. A
spiral has to be defined by:
• Start point (P1) and end point (P2) with known Easting and Northing
coordinates.
• Radius at the start of the spiral (R).
• Spiral parameter ( ) or length (L) of the spiral.
• Direction: Clockwise or Anticlockwise.
• Spiral type: Spiral in or Spiral out.
P1 Start point
P2 End point
RRadius
LLength
Spiral
types
• Entry spiral (Spiral in = A): Spiral with a radius of infinity at the start
and a given radius at the end.
• Exit spiral (Spiral out = B): Spiral with a given radius at the start and
radius of infinity at the end.
• Partial/Ovoid spiral: A spiral with a given radius at the start and
another given radius at the end.
AEntry spiral
BExit spiral
Element Description
A =
L · R
TSOX_ 111
R
R
L
P1
P2
Element Description
Straight A straight has to be defined by:
• Start chainage and start height of P1.
• End chainage and end height of P2, or length (L) and slope (%).
P1 Start point
P2 End point
LLength
%Slope
Transition
curve
A circular curve has to be defined by:
• Start chainage and start height of P1.
• End chainage and end height of P2.
• Radius (R).
• Type: Convex (crest) or Concave (sag).
aConvex
bConcave
P1 Start point
P2 End point
RRadius
TSOX_051
P1
R
a
R
P2
P1
RR
P2
b