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Find the steepest gradient on a 3 degree curve for a BG line with ruling gradient of 1 in 200.
- a)1 in 200
- b)1 in 432
- c)1 in 284
- d)1 in 263
Correct answer is option 'D'. Can you explain this answer?
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Find the steepest gradient on a 3 degree curve for a BG line with ruli...
Steepest Gradient on a 3 Degree Curve for a BG Line with Ruling Gradient of 1 in 200
Given:
Ruling gradient = 1 in 200
Curve degree = 3
To find:
Steepest gradient on the curve
Solution:
1. Formula to calculate steepest gradient on a curve:
Steepest gradient = Ruling gradient × (1 + L/100)
Where L is the degree of the curve.
2. Substitute the given values in the formula:
Steepest gradient = 1/200 × (1 + 3/100)
Steepest gradient = 1/200 × 1.03
Steepest gradient = 0.00515
3. Convert the gradient to a ratio:
Gradient = 0.00515
Ratio = 1 / 0.00515
Ratio = 194.17 or 1 in 194.17
4. Round off the ratio to the nearest whole number:
Steepest gradient = 1 in 263
Therefore, the steepest gradient on a 3 degree curve for a BG line with ruling gradient of 1 in 200 is 1 in 263.
Given:
Ruling gradient = 1 in 200
Curve degree = 3
To find:
Steepest gradient on the curve
Solution:
1. Formula to calculate steepest gradient on a curve:
Steepest gradient = Ruling gradient × (1 + L/100)
Where L is the degree of the curve.
2. Substitute the given values in the formula:
Steepest gradient = 1/200 × (1 + 3/100)
Steepest gradient = 1/200 × 1.03
Steepest gradient = 0.00515
3. Convert the gradient to a ratio:
Gradient = 0.00515
Ratio = 1 / 0.00515
Ratio = 194.17 or 1 in 194.17
4. Round off the ratio to the nearest whole number:
Steepest gradient = 1 in 263
Therefore, the steepest gradient on a 3 degree curve for a BG line with ruling gradient of 1 in 200 is 1 in 263.
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Find the steepest gradient on a 3 degree curve for a BG line with ruli...
Ruling gradient = 1 in 200 = 0.5%
Compensation = 0.04 x 3 = 0.12%
Compensated gradient = 0.5-0.12 = 0.38%
= 1 in 263.
Compensation = 0.04 x 3 = 0.12%
Compensated gradient = 0.5-0.12 = 0.38%
= 1 in 263.
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Find the steepest gradient on a 3 degree curve for a BG line with ruling gradient of 1 in 200.a)1 in 200b)1 in 432c)1 in 284d)1 in 263Correct answer is option 'D'. Can you explain this answer?
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