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Maximum Theoretical Cant Formula:
Definition: Maximum Theoretical Cant is the maximum amount by which one rail is raised above the other rail in railway track design.
Purpose: It helps ensure safe and comfortable train operation on curved tracks by accounting for both equilibrium cant and cant deficiency.
The calculator uses the formula:
Where:
Explanation: The maximum equilibrium cant is added to the cant deficiency to determine the maximum theoretical cant that should be applied to the railway track.
Details: Proper calculation ensures passenger comfort, prevents excessive wear on tracks and wheels, and maintains safety at high speeds on curves.
Tips: Enter the maximum equilibrium cant and cant deficiency as percentages. Both values must be > 0.
Q1: What is cant deficiency?
A: Cant deficiency is the difference between the actual cant provided and the equilibrium cant needed for the maximum permissible speed on a curve.
Q2: What's a typical value for maximum equilibrium cant?
A: This varies by railway system but is typically between 5-10% depending on design speed and curve radius.
Q3: Why is maximum theoretical cant important?
A: It determines the maximum superelevation that can be safely applied to a curve, affecting both safety and passenger comfort.
Q4: How does this relate to train speed?
A: Higher speeds generally require greater cant to counteract centrifugal force, but there are limits to how much cant can be applied.
Q5: What happens if maximum theoretical cant is exceeded?
A: Excessive cant can lead to discomfort for passengers, increased wear on the high rail, and potential safety issues in slow-moving trains.