Difference between revisions of "Lego train tracks geometry"

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(Created page with "=== Width === The width of sleepers is 8 studs. There are 4 studs between the tracks. {| | ○ || ◼︎ || ○ || ○ || ○ || ○ || ◼︎ || ○ || |} === Straight Tra...")
 
(Switches)
 
(4 intermediate revisions by the same user not shown)
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Straight track is 16 studs long.
 
Straight track is 16 studs long.
  
=== Curved Track ==
+
=== Curved Track ===
  
Curved track is 22.5° with radius of 40 studs (R40).
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Curved track is a 22.5° arc with radius of 40 studs (R40).
 
So 4 curved tracks make a 90° arc.
 
So 4 curved tracks make a 90° arc.
  
This translated to a track of about 15.7 studs length at the center. (Inner rail 14.7 studs, outer rail 16.7 studs)
+
This translated to a track of about 15.7 studs long at the center. (Inner rail 14.7 studs, outer rail 16.7 studs)
  
 
=== Flexible Track ===
 
=== Flexible Track ===
  
 
Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°.
 
Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°.
So 4 flexible tracks is slightly longer than a regular 22.5° curve.
+
So 4 flexible tracks is slightly longer than a regular 22.5° curved track.
  
 
=== Switches ===
 
=== Switches ===
  
 
A straight track on a switch is 32 studs in length (double straight track).
 
A straight track on a switch is 32 studs in length (double straight track).
The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second 13.37° inward.
+
The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second 14.37° inward.
  
 
You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5.
 
You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5.

Latest revision as of 21:33, 27 October 2017

Width

The width of sleepers is 8 studs. There are 4 studs between the tracks.

◼︎ ◼︎

Straight Track

Straight track is 16 studs long.

Curved Track

Curved track is a 22.5° arc with radius of 40 studs (R40). So 4 curved tracks make a 90° arc.

This translated to a track of about 15.7 studs long at the center. (Inner rail 14.7 studs, outer rail 16.7 studs)

Flexible Track

Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°. So 4 flexible tracks is slightly longer than a regular 22.5° curved track.

Switches

A straight track on a switch is 32 studs in length (double straight track). The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second 14.37° inward.

You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5. As you can see in the picture, this ensures that the turn track will perfectly align with the main track if followed by a regular curved track. The result is two parallel tracks 16 stud apart (8 studs between the sleepers).

Lego train tracks.png