Home Back

Cant Deficiency for given Maximum Theoretical Cant Calculator

Cant Deficiency Formula:

\[ DCant = eTh_{max} - eEq_{max} \]

%
%
%

1. What is Cant Deficiency?

Definition: Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.

Purpose: It helps railway engineers design safe and comfortable curves by accounting for the difference between theoretical and equilibrium cant.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ DCant = eTh_{max} - eEq_{max} \]

Where:

  • \( DCant \) — Cant Deficiency (%)
  • \( eTh_{max} \) — Maximum Theoretical Cant (%)
  • \( eEq_{max} \) — Maximum Equilibrium Cant (%)

Explanation: The calculator subtracts the maximum equilibrium cant from the maximum theoretical cant to determine the cant deficiency.

3. Importance of Cant Deficiency Calculation

Details: Proper cant deficiency calculation ensures safe train operation on curves, preventing excessive lateral forces on rails and providing passenger comfort.

4. Using the Calculator

Tips: Enter the maximum theoretical cant and maximum equilibrium cant as percentages. Both values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical acceptable cant deficiency value?
A: Acceptable values vary by railway system but typically range between 2-5% depending on speed and train type.

Q2: How does cant deficiency affect train operation?
A: Higher cant deficiency increases lateral forces on the track and may reduce passenger comfort, while too low may limit speed.

Q3: What's the difference between theoretical and equilibrium cant?
A: Theoretical cant is designed based on curve radius and design speed, while equilibrium cant is what would perfectly balance centrifugal force at operating speed.

Q4: Can cant deficiency be negative?
A: Yes, negative values indicate cant excess (more cant than needed for equilibrium speed).

Q5: How often should cant deficiency be checked?
A: Regular monitoring is essential, especially after track maintenance or speed limit changes.

Cant Deficiency Calculator© - All Rights Reserved 2025