Length of Vertical Curve Calculator

✖Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage.ⓘ Change in Grade [N]			+10% -10%
✖Permissible Rate is the maximum allowable rate of change in grade for vertical curves. For railway work 0.1% rate of change of grade is permitted at summits and 0.05% per chain at sags.ⓘ Permissible Rate [P_N]			+10% -10%

✖Length of Vertical Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Vertical Curve [L]

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Formula

✖

Length of Vertical Curve

Formula

`"L" = "N"/"P"_{"N"}`

Example

`"51.42857m"="3.6"/"0.07"`

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Length of Vertical Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Vertical Curve = Change in Grade/Permissible Rate
L = N/P_N
This formula uses 3 Variables

Variables Used

Length of Vertical Curve - (Measured in Meter) - Length of Vertical Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.
Change in Grade - Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage.
Permissible Rate - Permissible Rate is the maximum allowable rate of change in grade for vertical curves. For railway work 0.1% rate of change of grade is permitted at summits and 0.05% per chain at sags.

STEP 1: Convert Input(s) to Base Unit

Change in Grade: 3.6 --> No Conversion Required
Permissible Rate: 0.07 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = N/P_N --> 3.6/0.07

Evaluating ... ...

L = 51.4285714285714

STEP 3: Convert Result to Output's Unit

51.4285714285714 Meter --> No Conversion Required

FINAL ANSWER

51.4285714285714 ≈ 51.42857 Meter <-- Length of Vertical 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!

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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

Length of Vertical Curve Formula

Length of Vertical Curve = Change in Grade/Permissible Rate
L = N/P_N

What is Vertical Curve?

A curve used to connect two different grade lines of railways or highways is called a vertical curve. Such a curve is introduced to round off the angle and to obtain a gradual change in the gradient so that the vehicles passing over it may not experience a shock or a sudden jerk.

What are the types of Vertical Curves?

There are three main types of vertical curves: crest curves, sag curves, and composite curves. Crest curves are used to transition from a downhill grade to an uphill grade, while sag curves are used to transition from an uphill grade to a downhill grade. Composite curves are a combination of crest and sag curves and are used when the transition between grades is not uniform.

How to Calculate Length of Vertical Curve?

Length of Vertical Curve calculator uses Length of Vertical Curve = Change in Grade/Permissible Rate to calculate the Length of Vertical Curve, The Length of Vertical Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate. Length of Vertical Curve is denoted by L symbol.

How to calculate Length of Vertical Curve using this online calculator? To use this online calculator for Length of Vertical Curve, enter Change in Grade (N) & Permissible Rate (P_N) and hit the calculate button. Here is how the Length of Vertical Curve calculation can be explained with given input values -> 51.42857 = 3.6/0.07.

FAQ

What is Length of Vertical Curve?

The Length of Vertical Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate and is represented as L = N/P_N or Length of Vertical Curve = Change in Grade/Permissible Rate. Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage & Permissible Rate is the maximum allowable rate of change in grade for vertical curves. For railway work 0.1% rate of change of grade is permitted at summits and 0.05% per chain at sags.

How to calculate Length of Vertical Curve?

The Length of Vertical Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate is calculated using Length of Vertical Curve = Change in Grade/Permissible Rate. To calculate Length of Vertical Curve, you need Change in Grade (N) & Permissible Rate (P_N). With our tool, you need to enter the respective value for Change in Grade & Permissible Rate 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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