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If an upgrade of 1.5% is followed by a downgrade of 0.5% and rate of change of grade is 0.2% per 20 m chain, then the length of vertical curve is
- a)100 m
- b)200 m
- c)300 m
- d)400 m
Correct answer is option 'B'. Can you explain this answer?
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If an upgrade of 1.5% is followed by a downgrade of 0.5% and rate of c...
Length of vertical curve,
Most Upvoted Answer
If an upgrade of 1.5% is followed by a downgrade of 0.5% and rate of c...
Given data:
Upgrade = 1.5%
Downgrade = 0.5%
Rate of change of grade = 0.2% per 20m chain
To find: Length of vertical curve
Solution:
Vertical curve is used to connect two different grade lines with a smooth transition in between. It is used to provide the driver with a comfortable and safe ride as it eliminates the sudden change in grade.
The length of the vertical curve is calculated by the following formula:
L = (K x V2) / (2 x g)
Where,
L = Length of vertical curve
K = Rate of change of grade (in percentage per unit length)
V = Design speed (in km/hr)
g = Acceleration due to gravity (9.81 m/s2)
Assuming the design speed to be 50 km/hr, we can calculate the value of K as follows:
K = Rate of change of grade / (Length of curve / 20)
K = 0.2 / (L / 20)
L / 20 = 0.2 / 0.002
L / 20 = 100
L = 200m
Therefore, the length of the vertical curve is 200m.
Hence, option (B) is the correct answer.
Upgrade = 1.5%
Downgrade = 0.5%
Rate of change of grade = 0.2% per 20m chain
To find: Length of vertical curve
Solution:
Vertical curve is used to connect two different grade lines with a smooth transition in between. It is used to provide the driver with a comfortable and safe ride as it eliminates the sudden change in grade.
The length of the vertical curve is calculated by the following formula:
L = (K x V2) / (2 x g)
Where,
L = Length of vertical curve
K = Rate of change of grade (in percentage per unit length)
V = Design speed (in km/hr)
g = Acceleration due to gravity (9.81 m/s2)
Assuming the design speed to be 50 km/hr, we can calculate the value of K as follows:
K = Rate of change of grade / (Length of curve / 20)
K = 0.2 / (L / 20)
L / 20 = 0.2 / 0.002
L / 20 = 100
L = 200m
Therefore, the length of the vertical curve is 200m.
Hence, option (B) is the correct answer.
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Community Answer
If an upgrade of 1.5% is followed by a downgrade of 0.5% and rate of c...
L = (g2 - g1)/r
g2 = 1.5% (+ve since upgrade)
g1 = -0.5% (-ve since downgrade)
r = 0.2% per 20m
= (0.2/20)% per m
= 0.01% per m
L = [1.5 - (-0.5)]/0.01 = 200 m
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