Model Train Minimum Curve Radius Calculator
Calculate minimum curve radius for model trains by car length and scale.
Find the tightest safe radius for HO, N, O, and other scales without derailment.
Minimum Curve Radius for Model Trains
The minimum curve radius is the tightest curve a piece of rolling stock can negotiate without derailing. The longer the car, the wider the radius needed.
General rule: Minimum radius (inches) ≈ Longest car length (inches) × 3 to 4
For reliable operation: 4× car length. For “tightest possible / yard moves only”: 2.5-3× car length.
Typical minimums by scale (for the most common car lengths):
HO scale (1:87): most common:
- 4-axle freight, short passenger: 18 inches (standard “Atlas-style” curve)
- 6-axle locos, 70-ft cars: 22 inches
- 80-ft+ passenger cars: 24-30 inches
- “Big steam” (2-10-2, 2-10-4): 30+ inches
N scale (1:160):
- Most modern stock: 9.75 inches
- Short freight, switchers: 11 inches operates everything
- Smooth running of big stuff: 14-16 inches
O scale (1:48), and read this one carefully: In 3-rail O the track is sold by diameter, not radius, which trips up nearly everyone coming from HO. “O-31” is a 31-inch diameter circle, so its radius is 15.5 inches. Halve the number before comparing it with anything on this page.
- O-27: 13.5 inch radius, short postwar-size equipment only
- O-31: 15.5 inch radius, the traditional starter circle
- O-42: 21 inch radius
- O-54: 27 inch radius, where most modern scale-length cars become happy
- O-72: 36 inch radius, full-length passenger and big steam
S scale (1:64): 20 inch radius is the American Flyer standard, and 27 to 30 inches runs modern equipment comfortably.
G scale (1:22.5): LGB sectional track is the reference: R1 is 600 mm (23.6 inch) radius, R2 is 780 mm (30.7 inch), R3 is 1195 mm (47 inch), R5 is 2320 mm (91 inch). Short four-wheel European stock is happy on R1. Long American rolling stock generally wants R3 or better.
Adjustments for special equipment:
- 3-axle trucks: +20% radius
- Articulated locomotives (2-8-8-0, etc.): up to 2× the listed minimum
- Brass scale models: often 1.5× the plastic equivalent
- Long passenger cars (heavyweights, smoothsides): always check the manufacturer’s stated min
Why looser curves matter:
- Slow speed only: tight minimums work
- Mainline running: use 1.5-2× the minimum for reliable operation
- Realism: prototype mainline curves are very gentle, often 1-2 degrees of curvature (a 2-degree curve is roughly a 2,865-ft radius). Even scaled down, that is far more space than most layouts have
Prototype to model radius: Divide the real-world radius by the scale ratio. A gentle 1,000-ft prototype curve becomes 1,000 × 12 ÷ 87 ≈ 138 inches in HO, which shows why full-size mainline curves rarely fit on a layout.
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This calculator runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
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