Examples
Examples
Try the starting example
- Track center spacing (millimetres)
- 50
- Ladder angle (degrees)
- 10
- Parallel siding count
- 4
- Lead allowance (millimetres)
- 100
- Ladder lead-axis footprint (millimetres)
- 950.692273
- Siding offsets [longitudinal,lateral] (millimetres, JSON)
- [[100,0],[383.564090981,50],[667.128181962,100],[950.692272943,150]]
Try another scenario
- Track center spacing (millimetres)
- 60
- Ladder angle (degrees)
- 12
- Parallel siding count
- 5
- Lead allowance (millimetres)
- 120
- Ladder lead-axis footprint (millimetres)
- 1,249.111226
- Siding offsets [longitudinal,lateral] (millimetres, JSON)
- [[120,0],[402.277806569,60],[684.555613137,120],[966.833419706,180],[1249.11122627,240]]
Calculation method
Calculation method
Ladder lead-axis footprint (millimetres)
Lead allowance+(siding count−1)×spacing/tan(angle).
Siding offsets [longitudinal,lateral] (millimetres, JSON)
For siding i from 0..n−1: [lead+i×spacing/tan(angle),i×spacing].
Symbols and units
- a
- Track center spacing (millimetres)
- b
- Ladder angle (degrees)
- c
- Parallel siding count
- d
- Lead allowance (millimetres)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ideal straight ladder at a single supplied divergence angle; excludes proprietary turnout curves. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. 0<angle<90 degrees; siding count 1..100; spacing>0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.