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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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!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Surveying Vertical Curves Calculators

Length of Curve Based on Centrifugal Ratio

LaTeX Go Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)

Permissible Grade given Length

LaTeX Go Permissible Rate = Change in Grade/Length of Vertical Curve

Change of Grade given Length

LaTeX Go Change in Grade = Length of Vertical Curve*Permissible Rate

Length of Vertical Curve

LaTeX Go Length of Vertical Curve = Change in Grade/Permissible Rate

Length of Vertical Curve Formula

LaTeX Go

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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