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A transition curve is required for a circular curve of 200 m radius, the gauge being 1.5 m and maximum superelevation restricted to 15 cm. The transition is to be designed for a velocity such that no lateral pressure is imposed on the rails and rate of gain of radial acceleration is 30 cm/s2. The required length of transition curve will be
  • a)
    460 m
  • b)
    46 m
  • c)
    4.6
  • d)
    0.46 m
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A transition curve is required for a circular curve of 200 m radius, t...

⇒  V = 14 m/s
∴ 
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A transition curve is required for a circular curve of 200 m radius, t...
Given data:
Radius of circular curve, R = 200 m
Gauge, G = 1.5 m
Maximum superelevation, e = 15 cm = 0.15 m
Rate of gain of radial acceleration, G = 30 cm/s²

Formula used:
Length of transition curve, L = V²/127R

Calculation:
1. Calculation of velocity (V) at which no lateral pressure is imposed on the rails:
V = √RGe
= √(200 x 1.5 x 0.15)
= 3.087 m/s

2. Calculation of length of transition curve:
L = V²/127R
= (3.087)²/(127 x 200)
= 0.04599 m
≈ 46 m

Therefore, the required length of the transition curve is 46 m (approximately).
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A transition curve is required for a circular curve of 200 m radius, the gauge being 1.5 m and maximum superelevation restricted to 15 cm. The transition is to be designed for a velocity such that no lateral pressure is imposed on the rails and rate of gain of radial acceleration is 30 cm/s2. The required length of transition curve will bea)460 mb)46 mc)4.6d)0.46 mCorrect answer is option 'B'. Can you explain this answer?
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