Length given S is Less than L and Change of Grade 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%
✖Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.ⓘ Sight Distance SSD [SD]			+10% -10%
✖Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.ⓘ Height of Vertical Curves [h]			+10% -10%

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length given S is Less than L and Change of Grade [L_c]

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Formula

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Length given S is Less than L and Change of Grade

Formula

`"L"_{"c"} = "N"*"SD"^2/(800*"h")`

Example

`"635.5588m"="3.6"*("490m")^2/(800*"1.7m")`

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Length given S is Less than L and Change of Grade Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)
L_c = N*SD^2/(800*h)
This formula uses 4 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.
Change in Grade - Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage.
Sight Distance SSD - (Measured in Meter) - Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
Height of Vertical Curves - (Measured in Meter) - Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.

STEP 1: Convert Input(s) to Base Unit

Change in Grade: 3.6 --> No Conversion Required
Sight Distance SSD: 490 Meter --> 490 Meter No Conversion Required
Height of Vertical Curves: 1.7 Meter --> 1.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = N*SD^2/(800*h) --> 3.6*490^2/(800*1.7)

Evaluating ... ...

L_c = 635.558823529412

STEP 3: Convert Result to Output's Unit

635.558823529412 Meter --> No Conversion Required

FINAL ANSWER

635.558823529412 ≈ 635.5588 Meter <-- Length of Curve

(Calculation completed in 00.004 seconds)

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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

Length given S is Less than L and Change of Grade Formula

Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)
L_c = N*SD^2/(800*h)

What are the Design Consideration of Vertical Curve design when Night Time is considered?

During night, under headlight driving condition, sight distance reduces and availability of stopping sight distance under head light is very important. The head light sight distance should be at least equal to the stopping sight distance. There is no problem of overtaking sight distance at night since the other vehicles with headlights could be seen from a considerable distance.

How to Calculate Length given S is Less than L and Change of Grade?

Length given S is Less than L and Change of Grade calculator uses Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves) to calculate the Length of Curve, Length given S is Less than L and Change of Grade is defined for situation where both vehicle heights are same and change in grade represents algebraic sum of upgrade and downgrade. Length of Curve is denoted by L_c symbol.

How to calculate Length given S is Less than L and Change of Grade using this online calculator? To use this online calculator for Length given S is Less than L and Change of Grade, enter Change in Grade (N), Sight Distance SSD (SD) & Height of Vertical Curves (h) and hit the calculate button. Here is how the Length given S is Less than L and Change of Grade calculation can be explained with given input values -> 635.5588 = 3.6*490^2/(800*1.7).

FAQ

What is Length given S is Less than L and Change of Grade?

Length given S is Less than L and Change of Grade is defined for situation where both vehicle heights are same and change in grade represents algebraic sum of upgrade and downgrade and is represented as L_c = N*SD^2/(800*h) or Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves). Change in grade is the algebraic sum of two grades in the vertical curve. It is expressed in percentage, Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road & Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.

How to calculate Length given S is Less than L and Change of Grade?

Length given S is Less than L and Change of Grade is defined for situation where both vehicle heights are same and change in grade represents algebraic sum of upgrade and downgrade is calculated using Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves). To calculate Length given S is Less than L and Change of Grade, you need Change in Grade (N), Sight Distance SSD (SD) & Height of Vertical Curves (h). With our tool, you need to enter the respective value for Change in Grade, Sight Distance SSD & Height of Vertical Curves 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 Change in Grade, Sight Distance SSD & Height of Vertical Curves. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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