Downgrade given Length based on Centrifugal Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
g2 = g1-(Lc*100*f/V^2)
This formula uses 5 Variables
Variables Used
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
Length of Curve - (Measured in Meter) - Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.
Allowable Centrifugal Acceleration - (Measured in Meter per Square Second) - Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.
STEP 1: Convert Input(s) to Base Unit
Upgrade: 2.2 --> No Conversion Required
Length of Curve: 616 Meter --> 616 Meter No Conversion Required
Allowable Centrifugal Acceleration: 0.6 Meter per Square Second --> 0.6 Meter per Square Second No Conversion Required
Vehicle Velocity: 100 Kilometer per Hour --> 100 Kilometer per Hour No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
g2 = g1-(Lc*100*f/V^2) --> 2.2-(616*100*0.6/100^2)
Evaluating ... ...
g2 = -1.496
STEP 3: Convert Result to Output's Unit
-1.496 --> No Conversion Required
FINAL ANSWER
-1.496 <-- Downgrade
(Calculation completed in 00.020 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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19 Surveying Vertical Curves Calculators

Sight Distance when Length of Curve is Less
Go Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve when Sight Distance is More
Go Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve when S is Less than L
Go Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)
Velocity given Length
Go Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade)))
Sight Distance when S is Less than L and h1 and h2 are same
Go Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))
Sight Distance when S is Less than L
Go Sight Distance = (1/Tangential Correction)*(sqrt(Height of Observer)+sqrt(Height of Object))
Allowable Centrifugal Acceleration given Length
Go Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve)
Length of Curve Based on Centrifugal Ratio
Go Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)
Upgrade given Length based on Centrifugal Ratio
Go Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade)
Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same
Go Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Downgrade given Length based on Centrifugal Ratio
Go Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
Length of Curve when S is Less than L and h1 and h2 are same
Go Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
Length of Curve when Height of Observer and Object are Same
Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Length of Curve given Change in Grade where S is more than L
Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Length given S is Less than L and Change of Grade
Go Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)
Tangential Correction
Go Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords
Permissible Grade given Length
Go Permissible Rate = Change in Grade/Length of Vertical Curve
Change of Grade given Length
Go Change in Grade = Length of Vertical Curve*Permissible Rate
Length of Vertical Curve
Go Length of Vertical Curve = Change in Grade/Permissible Rate

Downgrade given Length based on Centrifugal Ratio Formula

Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
g2 = g1-(Lc*100*f/V^2)

What are the important design factors considered for the Sag Curves?

The most important design factors considered in valley curves are:
(1) impact-free movement of vehicles at design speed
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How to Calculate Downgrade given Length based on Centrifugal Ratio?

Downgrade given Length based on Centrifugal Ratio calculator uses Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2) to calculate the Downgrade, The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope. Downgrade is denoted by g2 symbol.

How to calculate Downgrade given Length based on Centrifugal Ratio using this online calculator? To use this online calculator for Downgrade given Length based on Centrifugal Ratio, enter Upgrade (g1), Length of Curve (Lc), Allowable Centrifugal Acceleration (f) & Vehicle Velocity (V) and hit the calculate button. Here is how the Downgrade given Length based on Centrifugal Ratio calculation can be explained with given input values -> -1.496 = 2.2-(616*100*0.6/27.7777777777778^2).

FAQ

What is Downgrade given Length based on Centrifugal Ratio?
The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope and is represented as g2 = g1-(Lc*100*f/V^2) or Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2). Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %, Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate, Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves & Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.
How to calculate Downgrade given Length based on Centrifugal Ratio?
The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope is calculated using Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2). To calculate Downgrade given Length based on Centrifugal Ratio, you need Upgrade (g1), Length of Curve (Lc), Allowable Centrifugal Acceleration (f) & Vehicle Velocity (V). With our tool, you need to enter the respective value for Upgrade, Length of Curve, Allowable Centrifugal Acceleration & Vehicle Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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