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Which of the following is the correct formula for equilibrium superelevation in millimetres?
- a)e = GV2/254R
- b)e = GV2/381R
- c)e = GV2/127R
- d)e = GV2/96R
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the correct formula for equilibrium superele...
Equilibrium superelevation, e = F x G/W
= W/g x V2/R x G/W
= GV2/gR
e = GV2/127R in millimetres.
= W/g x V2/R x G/W
= GV2/gR
e = GV2/127R in millimetres.
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Which of the following is the correct formula for equilibrium superele...
The correct formula for equilibrium superelevation in millimeters is:
e = GV^2 / 127R
- e: Equilibrium superelevation (in millimeters)
- G: Acceleration due to gravity (in m/s^2)
- V: Design speed of the vehicle (in km/h)
- R: Radius of the curve (in meters)
Explanation:
1. Equilibrium Superelevation:
Equilibrium superelevation is the value of superelevation that is required to balance the centrifugal force acting on a vehicle as it travels around a curved section of a road. It ensures that the vehicle maintains a stable trajectory without skidding or overturning.
2. Centrifugal Force:
Centrifugal force is the force experienced by an object moving in a curved path. In the case of a vehicle traveling on a curved road, centrifugal force pushes the vehicle outward from the curve.
3. Superelevation:
Superelevation is the banking of a road or track on a curve, where the outside edge of the road is raised higher than the inside edge. This helps counteract the centrifugal force and allows the vehicle to maintain stability while negotiating the curve.
4. Factors Affecting Equilibrium Superelevation:
The equilibrium superelevation is influenced by several factors, including the acceleration due to gravity (G), the design speed of the vehicle (V), and the radius of the curve (R).
5. Formula Derivation:
The formula for equilibrium superelevation is derived from the equation balancing the centrifugal force and the horizontal component of the gravitational force acting on the vehicle.
The horizontal component of the gravitational force is calculated as G * V^2 / R, where G is the acceleration due to gravity, V is the design speed of the vehicle, and R is the radius of the curve.
To maintain equilibrium, the centrifugal force must be equal to the horizontal component of the gravitational force. Therefore, the equilibrium superelevation (e) can be calculated by equating the two forces:
Centrifugal Force = Horizontal Component of Gravitational Force
m * V^2 / R = G * V^2 / R
Simplifying the equation gives:
m = G / R
where m is the equilibrium superelevation.
To convert the equilibrium superelevation from meters to millimeters, the formula becomes:
e = GV^2 / 127R
Hence, the correct formula for equilibrium superelevation in millimeters is e = GV^2 / 127R.
e = GV^2 / 127R
- e: Equilibrium superelevation (in millimeters)
- G: Acceleration due to gravity (in m/s^2)
- V: Design speed of the vehicle (in km/h)
- R: Radius of the curve (in meters)
Explanation:
1. Equilibrium Superelevation:
Equilibrium superelevation is the value of superelevation that is required to balance the centrifugal force acting on a vehicle as it travels around a curved section of a road. It ensures that the vehicle maintains a stable trajectory without skidding or overturning.
2. Centrifugal Force:
Centrifugal force is the force experienced by an object moving in a curved path. In the case of a vehicle traveling on a curved road, centrifugal force pushes the vehicle outward from the curve.
3. Superelevation:
Superelevation is the banking of a road or track on a curve, where the outside edge of the road is raised higher than the inside edge. This helps counteract the centrifugal force and allows the vehicle to maintain stability while negotiating the curve.
4. Factors Affecting Equilibrium Superelevation:
The equilibrium superelevation is influenced by several factors, including the acceleration due to gravity (G), the design speed of the vehicle (V), and the radius of the curve (R).
5. Formula Derivation:
The formula for equilibrium superelevation is derived from the equation balancing the centrifugal force and the horizontal component of the gravitational force acting on the vehicle.
The horizontal component of the gravitational force is calculated as G * V^2 / R, where G is the acceleration due to gravity, V is the design speed of the vehicle, and R is the radius of the curve.
To maintain equilibrium, the centrifugal force must be equal to the horizontal component of the gravitational force. Therefore, the equilibrium superelevation (e) can be calculated by equating the two forces:
Centrifugal Force = Horizontal Component of Gravitational Force
m * V^2 / R = G * V^2 / R
Simplifying the equation gives:
m = G / R
where m is the equilibrium superelevation.
To convert the equilibrium superelevation from meters to millimeters, the formula becomes:
e = GV^2 / 127R
Hence, the correct formula for equilibrium superelevation in millimeters is e = GV^2 / 127R.
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Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer?.
Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the correct formula for equilibrium superelevation in millimetres?a)e = GV2/254Rb)e = GV2/381Rc)e = GV2/127Rd)e = GV2/96RCorrect answer is option 'C'. Can you explain this answer?.
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