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The shape of Transition Curve used by Indian Railway is?

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UKPSC AE Paper II 2013
⭕ A. Spiral
⭕ B. Froude’s cubic parabola
⭕ C. Lemniscates
⭕ D. S–curve
📚 Explanation:

The transition curve is used in railway tracks to provide a smooth change in direction and speed for trains.

🔹 Froude’s cubic parabola is widely used as it ensures a smooth transition between the straight line and the curve
🔹 It allows for gradual acceleration and deceleration of the train, minimizing sudden jerks.
🔹 This is important for the safety and comfort of passengers while also reducing track wear.


👉 Therefore, the correct answer is: B. Froude’s cubic parabola

Key Concepts on Transition Curve:

  • Transition curves smoothen the change in direction and speed
  • Used to minimize jerks and improve comfort
  • Froude’s cubic parabola is the most widely used type
  • It balances the rate of change of curvature and centripetal force
  • Used in both broad and meter gauge tracks

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