Rail Curve Radius Calculator
Calculate theoretical curve radius from speed and user-specified lateral acceleration.
A QUICK WALKTHROUGH
How to use this tool
- Enter speed and lateral acceleration using consistent units.
- Review the kinematic formula and its limits.
- Calculate the theoretical curve radius locally.
Formula and limitations
R=v²/a. This is a kinematic relation and does not select allowable acceleration or cant. This calculation does not establish a safe railway design or operating limit.
Privacy
Inputs are processed locally and not uploaded.
GOOD TO KNOW
Common questions
How is the theoretical radius calculated?
Use R = v²/a, with speed in metres per second and lateral acceleration in metres per second squared; the radius is in metres.
Does this establish a safe railway curve?
No. It applies a kinematic relation only and does not select allowable acceleration, cant, or operating limits.