Calculate the required length of transition, Civil Engineering

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Q A transition curve is required for a circular curve of 200-meter Φ radius, the gauge being 1.5 m. and max super elevation restricted to 15 cm. The transition restricted to 15 cm. The transition is to be designed for a velocity such that no lateral pressure is imposed on the rails and the rate of gain of radial acceleration is 30 cm / sec³ . Calculate the required length of transition.

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