Length of Curve when Sight Distance is More Calculator

✖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 Observer is the length or vertical length of the observer.ⓘ Height of Observer [H]			+10% -10%
✖Height of Object is the vertical distance of the object which is being observed.ⓘ Height of Object [h₂]			+10% -10%
✖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%

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve when Sight Distance is More [L_c]

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Length of Curve when Sight Distance is More

Formula

`"L"_{"c"} = 2*"SD"-(200*(sqrt("H")+sqrt("h"_{"2"}))^2)/(("g"_{"1"})-("g"_{"2"}))`

Example

`"639.5467m"=2*"490m"-(200*(sqrt("1.2m")+sqrt("2m"))^2)/(("2.2")-("-1.5"))`

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Download Surveying Vertical Curves Formulas PDF

Length of Curve when Sight Distance is More Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
L_c = 2*SD-(200*(sqrt(H)+sqrt(h₂))^2)/((g₁)-(g₂))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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 Observer - (Measured in Meter) - Height of Observer is the length or vertical length of the observer.
Height of Object - (Measured in Meter) - Height of Object is the vertical distance of the object which is being observed.
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 %.

STEP 1: Convert Input(s) to Base Unit

Sight Distance SSD: 490 Meter --> 490 Meter No Conversion Required
Height of Observer: 1.2 Meter --> 1.2 Meter No Conversion Required
Height of Object: 2 Meter --> 2 Meter No Conversion Required
Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = 2*SD-(200*(sqrt(H)+sqrt(h₂))^2)/((g₁)-(g₂)) --> 2*490-(200*(sqrt(1.2)+sqrt(2))^2)/((2.2)-((-1.5)))

Evaluating ... ...

L_c = 639.546666109949

STEP 3: Convert Result to Output's Unit

639.546666109949 Meter --> No Conversion Required

FINAL ANSWER

639.546666109949 ≈ 639.5467 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

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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 Curve when Sight Distance is More Formula

Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
L_c = 2*SD-(200*(sqrt(H)+sqrt(h₂))^2)/((g₁)-(g₂))

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.

What is the purpose of a Vertical Curve?

The purpose of a vertical curve is to provide a smooth transition between two different gradients on a road or railway track. This helps to ensure that drivers or passengers have a comfortable and safe ride. Without vertical curves, abrupt changes in gradient can cause discomfort and even accidents.

How to Calculate Length of Curve when Sight Distance is More?

Length of Curve when Sight Distance is More calculator uses Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)) to calculate the Length of Curve, The Length of Curve when Sight Distance is More is defined as a situation to find the length of the vertical curve if the sight distance or the distance between two vehicles are larger than the curve length itself. Length of Curve is denoted by L_c symbol.

How to calculate Length of Curve when Sight Distance is More using this online calculator? To use this online calculator for Length of Curve when Sight Distance is More, enter Sight Distance SSD (SD), Height of Observer (H), Height of Object (h₂), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button. Here is how the Length of Curve when Sight Distance is More calculation can be explained with given input values -> 639.5467 = 2*490-(200*(sqrt(1.2)+sqrt(2))^2)/((2.2)-((-1.5))).

FAQ

What is Length of Curve when Sight Distance is More?

The Length of Curve when Sight Distance is More is defined as a situation to find the length of the vertical curve if the sight distance or the distance between two vehicles are larger than the curve length itself and is represented as L_c = 2*SD-(200*(sqrt(H)+sqrt(h₂))^2)/((g₁)-(g₂)) or Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). 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 Observer is the length or vertical length of the observer, Height of Object is the vertical distance of the object which is being observed, 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 %.

How to calculate Length of Curve when Sight Distance is More?

The Length of Curve when Sight Distance is More is defined as a situation to find the length of the vertical curve if the sight distance or the distance between two vehicles are larger than the curve length itself is calculated using Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). To calculate Length of Curve when Sight Distance is More, you need Sight Distance SSD (SD), Height of Observer (H), Height of Object (h₂), Upgrade (g₁) & Downgrade (g₂). With our tool, you need to enter the respective value for Sight Distance SSD, Height of Observer, Height of Object, Upgrade & Downgrade 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 Sight Distance SSD, Height of Observer, Height of Object, Upgrade & Downgrade. 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-(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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