Model railway bridge span scaling calculator

Calculate model cut lengths and cuts exceeding one stock strip with your own figures.

Your numbers

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

Use model cut lengths and cuts exceeding one stock strip to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Prototype clear spans (metres)
10,15,20
Scale denominator
87
End support allowance per end (millimetres)
5
Stock strip length (millimetres)
300
Model cut lengths (millimetres, JSON)
[124.942528736,182.413793103,239.885057471]
Cuts exceeding one stock strip (JSON)
[]

Try another scenario

Prototype clear spans (metres)
12,18
Scale denominator
100
End support allowance per end (millimetres)
8
Stock strip length (millimetres)
250
Model cut lengths (millimetres, JSON)
[136,196]
Cuts exceeding one stock strip (JSON)
[]
Calculation method

Calculation method

Model cut lengths (millimetres, JSON)

Prototype metres×1000/scale+2×end support allowance.

Cuts exceeding one stock strip (JSON)

Indices whose required cut length exceeds supplied stock length; no splice inferred.

Symbols and units
a
Prototype clear spans (metres)
b
Scale denominator
c
End support allowance per end (millimetres)
d
Stock strip length (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

  • One strip per span; no joining and no structural strength calculation. 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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