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CivilAdvanced Survey
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Overturning of vehicles on a curve can be avoided by using

A

Transition

B

Compound

C

Reverse

D

All of these

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option A

Transition

Quick Summary:

Overturning of vehicles on a horizontal curve can be effectively avoided by introducing a transition curve. Transition curves allow the gradual introduction of superelevation (cant) and centrifugal force, preventing sudden lateral shocks and instability. This gradual change in lateral acceleration ensures that the destabilizing overturning moment is smoothly counterbalanced.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Overturning of vehicles on a horizontal curve can be effectively avoided by introducing a transition curve. Transition curves allow the gradual introduction of superelevation (cant) and centrifugal force, preventing sudden lateral shocks and instability. This gradual change in lateral acceleration ensures that the destabilizing overturning moment is smoothly counterbalanced.

ЁЯФв Key Formulas

PW=v2gR\frac{P}{W} = \frac{v┬▓}{gR}WPтАЛ=gRv2тАЛ тАФ Centrifugal ratio acting on a vehicle moving on a curve

PW=b2h\frac{P}{W} = \frac{b}{2h}WPтАЛ=2hbтАЛ тАФ Condition for critical overturning, where bbb is track width and hhh is height of C.G.

тЪЩя╕П Working Principle

When a vehicle negotiates a curve, centrifugal force acts horizontally outwards through its center of gravity, creating an overturning moment. By employing a transition curve with superelevation gradual buildup, the outer edge of the pavement is slowly raised, creating an inward inclined plane that reduces the net overturning moment.

ЁЯУМ Key Points
  • тЦ╕

    A transition curve provides a smooth transition from a straight section (radius = тИЮ\inftyтИЮ) to a circular curve (radius = RRR).

  • тЦ╕

    It helps in gradual application of superelevation and extra widening of the carriageway.

  • тЦ╕

    Overturning is avoided when the centrifugal ratio PW\frac{P}{W}WPтАЛ is less than b2h\frac{b}{2h}2hbтАЛ.

тЬЕ Advantages
  • тЦ╕

    Gradual introduction of centrifugal force avoids sudden jolts to passengers.

  • тЦ╕

    Enables smooth transition of superelevation, preventing vehicle overturn or lateral skid.

  • тЦ╕

    Improves driver comfort, aesthetic appearance, and overall safety on roads and railways.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires additional land width and precise surveying work during alignment setting.

  • тЦ╕

    Increases design complexity and construction effort compared to simple circular curves.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Highways and expressways at horizontal curve junctions to maintain design speeds safely.

  • тЦ╕

    Railway tracks at curve approaches to allow smooth cant transition and prevent derailment.

ЁЯУД Additional Information
  • тЦ╕

    Option B (Compound Curve) consists of two or more circular curves of different radii turning in the same direction, which does not inherently eliminate sudden lateral shock unless paired with transitions.

  • тЦ╕

    Option C (Reverse Curve) consists of two circular curves turning in opposite directions, creating high instability and overturning risk if transition curves are not provided.

ЁЯУК Diagram / Illustration
Centrifugal Ratio (Factor of Overturning)Centrifugal Force (P) / Weight (W)v┬▓ / (g ├Ч R) = b / (2 ├Ч h)Overturning occurs when P/W > b/(2h)
тЬЕ

A is correct тАФ Transition curves gradually introduce superelevation and centrifugal force, mitigating sudden overturning moments on vehicles.

Core Concepts Used
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Transition Curve Overturning Stability Centrifugal Ratio Superelevation (Cant)
ЁЯТб EXAM TIP

Always remember the two stability criteria on curves: for overturning, check PW<b2h\frac{P}{W} < \frac{b}{2h}WPтАЛ<2hbтАЛ, and for skidding, check PW<f\frac{P}{W} < fWPтАЛ<f (coefficient of lateral friction).

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