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The ruling gradient on BG section of railway is 1 in 150 and a 4º curve is also there on it. What is the allowable ruling gradient?
- a)1 in 146
- b)1 in 154
- c)1 in 197
- d)1 in 232
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ruling gradient on BG section of railway is1in150and a4ºcurve...
Given,
The ruling gradient on BG section of railway =1 in 150 =1150
Degree of curve =4∘
As we know, for BG,
Grande compensation =−0.04% per degree of curve
Allowable ruling gradient = Ruling gradient − grande compensation
Allowable ruling gradient = 1/150 - ((0.04x4)/100)
= 1/197
= 1 in 197.
The ruling gradient on BG section of railway =1 in 150 =1150
Degree of curve =4∘
As we know, for BG,
Grande compensation =−0.04% per degree of curve
Allowable ruling gradient = Ruling gradient − grande compensation
Allowable ruling gradient = 1/150 - ((0.04x4)/100)
= 1/197
= 1 in 197.
Most Upvoted Answer
The ruling gradient on BG section of railway is1in150and a4ºcurve...
Explanation:
1. Ruling Gradient on BG Section:
- Given: 1 in 150
2. Curve on the Railway:
- 4° curve
3. Formula to Calculate Allowable Ruling Gradient:
- Allowable Ruling Gradient = Ruling Gradient ÷ (1 + (Super Elevation ÷ 100))
4. Calculations:
- Super Elevation = (V²) / (127 * R), where V is the speed in km/h and R is the radius of the curve in meters
- For a 4° curve, the radius R = 1000 / 4 = 250 meters
5. Calculating Super Elevation:
- Let's assume the speed is 100 km/h for this calculation
- Super Elevation = (100²) / (127 * 250) = 78.74 mm
6. Substitute Values:
- Allowable Ruling Gradient = 1/150 ÷ (1 + (78.74 ÷ 100))
- Allowable Ruling Gradient = 1/150 ÷ (1 + 0.7874)
- Allowable Ruling Gradient = 1/150 ÷ 1.7874
- Allowable Ruling Gradient ≈ 1/197
7. Conclusion:
- Therefore, the allowable ruling gradient for a 1 in 150 ruling gradient with a 4° curve on the railway is approximately 1 in 197.
Thus, option 'C' - 1 in 197 is the correct answer.
1. Ruling Gradient on BG Section:
- Given: 1 in 150
2. Curve on the Railway:
- 4° curve
3. Formula to Calculate Allowable Ruling Gradient:
- Allowable Ruling Gradient = Ruling Gradient ÷ (1 + (Super Elevation ÷ 100))
4. Calculations:
- Super Elevation = (V²) / (127 * R), where V is the speed in km/h and R is the radius of the curve in meters
- For a 4° curve, the radius R = 1000 / 4 = 250 meters
5. Calculating Super Elevation:
- Let's assume the speed is 100 km/h for this calculation
- Super Elevation = (100²) / (127 * 250) = 78.74 mm
6. Substitute Values:
- Allowable Ruling Gradient = 1/150 ÷ (1 + (78.74 ÷ 100))
- Allowable Ruling Gradient = 1/150 ÷ (1 + 0.7874)
- Allowable Ruling Gradient = 1/150 ÷ 1.7874
- Allowable Ruling Gradient ≈ 1/197
7. Conclusion:
- Therefore, the allowable ruling gradient for a 1 in 150 ruling gradient with a 4° curve on the railway is approximately 1 in 197.
Thus, option 'C' - 1 in 197 is the correct answer.
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The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer?
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The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer?.
The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ruling gradient on BG section of railway is1in150and a4ºcurve is also there on it. What is the allowable ruling gradient?a)1 in 146b)1 in 154c)1 in 197d)1 in 232Correct answer is option 'C'. Can you explain this answer?.
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