Upgrade given Length based on Centrifugal Ratio Calculator

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve [L_c]			+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%
✖Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.ⓘ Vehicle Velocity [V]			+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%

✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade given Length based on Centrifugal Ratio [g₁]

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Formula

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Upgrade given Length based on Centrifugal Ratio

Formula

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

Example

`"2.196"=("616m"*100*"0.6m/s²"/("100km/h")^2)+("-1.5")`

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Upgrade given Length based on Centrifugal Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

STEP 1: Convert Input(s) to Base Unit

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
Downgrade: -1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g₁ = (L_c*100*f/V^2)+(g₂) --> (616*100*0.6/100^2)+((-1.5))

Evaluating ... ...

g₁ = 2.196

STEP 3: Convert Result to Output's Unit

2.196 --> No Conversion Required

FINAL ANSWER

2.196 <-- Upgrade

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

Upgrade given Length based on Centrifugal Ratio Formula

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

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 Upgrade given Length based on Centrifugal Ratio?

Upgrade given Length based on Centrifugal Ratio calculator uses Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade) to calculate the Upgrade, The Upgrade given Length based on Centrifugal Ratio is Given is defined as the upward gradient or the upward curve which makes an incremental slope. Upgrade is denoted by g₁ symbol.

How to calculate Upgrade given Length based on Centrifugal Ratio using this online calculator? To use this online calculator for Upgrade given Length based on Centrifugal Ratio, enter Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Vehicle Velocity (V) & Downgrade (g₂) and hit the calculate button. Here is how the Upgrade given Length based on Centrifugal Ratio calculation can be explained with given input values -> 2.196 = (616*100*0.6/27.7777777777778^2)+((-1.5)).

FAQ

What is Upgrade given Length based on Centrifugal Ratio?

The Upgrade given Length based on Centrifugal Ratio is Given is defined as the upward gradient or the upward curve which makes an incremental slope and is represented as g₁ = (L_c*100*f/V^2)+(g₂) or Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade). 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 & Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

How to calculate Upgrade given Length based on Centrifugal Ratio?

The Upgrade given Length based on Centrifugal Ratio is Given is defined as the upward gradient or the upward curve which makes an incremental slope is calculated using Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade). To calculate Upgrade given Length based on Centrifugal Ratio, you need Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Vehicle Velocity (V) & Downgrade (g₂). With our tool, you need to enter the respective value for Length of Curve, Allowable Centrifugal Acceleration, Vehicle Velocity & Downgrade 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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