Model railway coupler-height audit calculator

Calculate adjustment to target by coupler and outside-band coupler numbers with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use adjustment to target by coupler and outside-band coupler numbers to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Measured coupler heights (millimetres)
8,9,10
Target height (millimetres)
9
Allowed deviation (millimetres)
0.5
Adjustment to target by coupler (millimetres, JSON)
[1,0,-1]
Outside-band coupler numbers (JSON)
[1,3]

Try another scenario

Measured coupler heights (millimetres)
8.5,9,10.5
Target height (millimetres)
9.5
Allowed deviation (millimetres)
0.25
Adjustment to target by coupler (millimetres, JSON)
[1,0.5,-1]
Outside-band coupler numbers (JSON)
[1,2,3]
Calculation method

Calculation method

Adjustment to target by coupler (millimetres, JSON)

Target−measured height; positive means raise.

Outside-band coupler numbers (JSON)

Flag abs(measured−target)>allowed deviation.

Symbols and units
a
Measured coupler heights (millimetres)
b
Target height (millimetres)
c
Allowed deviation (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

  • Compare measurements with a user-supplied target band, without adopting any model railway standard. 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. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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