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If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will be
- a)50.00
- b)75.00
- c)100.00
- d)150.00
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If a transition curve is introduced between a straight and a curve suc...
Introduction:
In civil engineering, transition curves are introduced to provide a smooth and gradual transition between a straight section and a curved section of a road or railway track. These curves help to reduce the discomfort and potential safety hazards caused by sudden changes in direction.
Given:
- Super elevation on the curve = 15 cm
- Rate of super elevation = 1 in 500
Formula:
The length of the transition curve can be calculated using the formula:
L = V² / (127R)
Where:
L = length of the transition curve
V = design speed of the vehicle (in m/s)
R = radius of the curve (in m)
Calculating the design speed:
To calculate the design speed, we need to know the coefficient of friction (f) and the radius of the curve (R). The coefficient of friction can be assumed to be 0.15 for a well-designed road or railway track.
We know that the rate of super elevation is 1 in 500. This means that for every 500 units of horizontal distance, the road or track is elevated by 1 unit. In this case, the super elevation is 15 cm, which is equivalent to 0.15 m.
Using the formula:
f = V² / (g * R)
Where:
f = coefficient of friction
V = design speed of the vehicle (in m/s)
g = acceleration due to gravity (9.81 m/s²)
R = radius of the curve (in m)
Substituting the values, we can calculate the design speed:
0.15 = V² / (9.81 * R)
V² = 1.477 * R
Calculating the length of the transition curve:
Now that we have the design speed, we can calculate the length of the transition curve using the given formula:
L = V² / (127R)
Substituting the value of V² from the previous calculation:
L = (1.477 * R) / (127R)
L = 0.0116 R
Final calculation:
To determine the length of the transition curve, we need to know the radius of the curve. Since the question does not provide this information, we cannot calculate the exact length. However, we can conclude that the length of the transition curve is directly proportional to the radius of the curve. Therefore, the length of the transition curve will be 0.0116 times the radius of the curve.
Conclusion:
Based on the given information, we can conclude that the length of the transition curve will be 0.0116 times the radius of the curve. The correct answer is option B) 75.00 m.
In civil engineering, transition curves are introduced to provide a smooth and gradual transition between a straight section and a curved section of a road or railway track. These curves help to reduce the discomfort and potential safety hazards caused by sudden changes in direction.
Given:
- Super elevation on the curve = 15 cm
- Rate of super elevation = 1 in 500
Formula:
The length of the transition curve can be calculated using the formula:
L = V² / (127R)
Where:
L = length of the transition curve
V = design speed of the vehicle (in m/s)
R = radius of the curve (in m)
Calculating the design speed:
To calculate the design speed, we need to know the coefficient of friction (f) and the radius of the curve (R). The coefficient of friction can be assumed to be 0.15 for a well-designed road or railway track.
We know that the rate of super elevation is 1 in 500. This means that for every 500 units of horizontal distance, the road or track is elevated by 1 unit. In this case, the super elevation is 15 cm, which is equivalent to 0.15 m.
Using the formula:
f = V² / (g * R)
Where:
f = coefficient of friction
V = design speed of the vehicle (in m/s)
g = acceleration due to gravity (9.81 m/s²)
R = radius of the curve (in m)
Substituting the values, we can calculate the design speed:
0.15 = V² / (9.81 * R)
V² = 1.477 * R
Calculating the length of the transition curve:
Now that we have the design speed, we can calculate the length of the transition curve using the given formula:
L = V² / (127R)
Substituting the value of V² from the previous calculation:
L = (1.477 * R) / (127R)
L = 0.0116 R
Final calculation:
To determine the length of the transition curve, we need to know the radius of the curve. Since the question does not provide this information, we cannot calculate the exact length. However, we can conclude that the length of the transition curve is directly proportional to the radius of the curve. Therefore, the length of the transition curve will be 0.0116 times the radius of the curve.
Conclusion:
Based on the given information, we can conclude that the length of the transition curve will be 0.0116 times the radius of the curve. The correct answer is option B) 75.00 m.
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Community Answer
If a transition curve is introduced between a straight and a curve suc...
Length of transition curve on the basis of super elevation is given by:
Case 1: Rotation of pavement by inner edge:
L = N E
Case 2 : Rotation of pavement about centres:
Where, N = Rate of Super elevation, E = Superelevation
Here, considering case 1 only:
Length of transition curve, L = 500 × 15 = 7500 cm or 75 m.
If we consider case 2 we get L = 37.5 m which is not in any option.
Hence, option ‘2’ is correct.
Case 1: Rotation of pavement by inner edge:
L = N E
Case 2 : Rotation of pavement about centres:
Where, N = Rate of Super elevation, E = Superelevation
Here, considering case 1 only:
Length of transition curve, L = 500 × 15 = 7500 cm or 75 m.
If we consider case 2 we get L = 37.5 m which is not in any option.
Hence, option ‘2’ is correct.
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If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer?
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If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer?.
If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a transition curve is introduced between a straight and a curve such that a super elevation of 15 cm is introduced over a curve and if the rate of super elevation is 1 in 500, then length (m) of the transition curve will bea)50.00b)75.00c)100.00d)150.00Correct answer is option 'B'. Can you explain this answer?.
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