Model railway wheelbase curve offset calculator

Calculate center inward offset and body-end outward offset with your own figures.

Your numbers

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

Use center inward offset and body-end outward offset to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Rigid wheelbase (millimetres)
200
Curve centerline radius (millimetres)
500
Body overhang beyond each support (millimetres)
50
Center inward offset (millimetres)
10.102051
Body-end outward offset (millimetres)
12.347538

Try another scenario

Rigid wheelbase (millimetres)
240
Curve centerline radius (millimetres)
600
Body overhang beyond each support (millimetres)
60
Center inward offset (millimetres)
12.122462
Body-end outward offset (millimetres)
14.817046
Calculation method

Calculation method

Center inward offset (millimetres)

R−sqrt(R²−(wheelbase/2)²).

Body-end outward offset (millimetres)

sqrt(R²−(wheelbase/2)²+(wheelbase/2+overhang)²)−R.

Symbols and units
a
Rigid wheelbase (millimetres)
b
Curve centerline radius (millimetres)
c
Body overhang beyond each support (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

  • Rigid straight body chord centered over a circular centerline, bogie centers separated by wheelbase. 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<wheelbase<=2×radius; overhang>=0; pure chord geometry excludes articulated/coupler motion.
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