Length of Curve Based on Centrifugal Ratio Calculator

✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade [g₁]			+10% -10%
✖Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.ⓘ Downgrade [g₂]			+10% -10%
✖Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.ⓘ Vehicle Velocity [V]			+10% -10%
✖Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.ⓘ Allowable Centrifugal Acceleration [f]			+10% -10%

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve Based on Centrifugal Ratio [L_c]

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Formula

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Length of Curve Based on Centrifugal Ratio

Formula

`"L"_{"c"} = (("g"_{"1"})-("g"_{"2"}))*"V"^2/(100*"f")`

Example

`"616.6667m"=(("2.2")-("-1.5"))*("100km/h")^2/(100*"0.6m/s²")`

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Length of Curve Based on Centrifugal Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)
L_c = ((g₁)-(g₂))*V^2/(100*f)
This formula uses 5 Variables

Variables Used

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.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.
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.

STEP 1: Convert Input(s) to Base Unit

Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required
Vehicle Velocity: 100 Kilometer per Hour --> 100 Kilometer per Hour No Conversion Required
Allowable Centrifugal Acceleration: 0.6 Meter per Square Second --> 0.6 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = ((g₁)-(g₂))*V^2/(100*f) --> ((2.2)-((-1.5)))*100^2/(100*0.6)

Evaluating ... ...

L_c = 616.666666666667

STEP 3: Convert Result to Output's Unit

616.666666666667 Meter --> No Conversion Required

FINAL ANSWER

616.666666666667 ≈ 616.6667 Meter <-- Length of Curve

(Calculation completed in 00.004 seconds)

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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

Length of Curve Based on Centrifugal Ratio Formula

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

What are the Four Ways of Alignment of Vertical Curves?

1. when a descending gradient meets another descending gradient.
2. when a descending gradient meets a flat gradient.
3. when a descending gradient meets an ascending gradient.
4. when an ascending gradient meets another ascending gradient.

How to Calculate Length of Curve Based on Centrifugal Ratio?

Length of Curve Based on Centrifugal Ratio calculator uses Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration) to calculate the Length of Curve, The Length of Curve Based on Centrifugal Ratio is defined as the length of the vertical curve when the maximum centrifugal acceleration is provided. Length of Curve is denoted by L_c symbol.

How to calculate Length of Curve Based on Centrifugal Ratio using this online calculator? To use this online calculator for Length of Curve Based on Centrifugal Ratio, enter Upgrade (g₁), Downgrade (g₂), Vehicle Velocity (V) & Allowable Centrifugal Acceleration (f) and hit the calculate button. Here is how the Length of Curve Based on Centrifugal Ratio calculation can be explained with given input values -> 616.6667 = ((2.2)-((-1.5)))*27.7777777777778^2/(100*0.6).

FAQ

What is Length of Curve Based on Centrifugal Ratio?

The Length of Curve Based on Centrifugal Ratio is defined as the length of the vertical curve when the maximum centrifugal acceleration is provided and is represented as L_c = ((g₁)-(g₂))*V^2/(100*f) or Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration). Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %, Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %, Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time & Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.

How to calculate Length of Curve Based on Centrifugal Ratio?

The Length of Curve Based on Centrifugal Ratio is defined as the length of the vertical curve when the maximum centrifugal acceleration is provided is calculated using Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration). To calculate Length of Curve Based on Centrifugal Ratio, you need Upgrade (g₁), Downgrade (g₂), Vehicle Velocity (V) & Allowable Centrifugal Acceleration (f). With our tool, you need to enter the respective value for Upgrade, Downgrade, Vehicle Velocity & Allowable Centrifugal Acceleration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Curve?

In this formula, Length of Curve uses Upgrade, Downgrade, Vehicle Velocity & Allowable Centrifugal Acceleration. We can use 6 other way(s) to calculate the same, which is/are as follows -

Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)
Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)

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