GATE 2023 CE (CE1) – Question 35
For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allowable jerk is 0.75 m/s$^3$, what is the minimum length (in m, in integer) of the transition curve?
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Correct answer: 15
Explanation
The minimum length of a transition curve is $L_s = \frac{v^3}{CR}$ where $C$ is the rate of change of centripetal acceleration (the jerk). So $L_s = \frac{15^3}{0.75 \times 300} = \frac{3375}{225} = 15$ m.