Length of Curve when Height of Observer and Object are Same 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 Vertical Curves is the distance between the lowest and highest points of a person standing upright.ⓘ Height of Vertical Curves [h]			+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 Height of Observer and Object are Same [L_c]

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Formula

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Length of Curve when Height of Observer and Object are Same

Formula

`"L"_{"c"} = 2*"SD"-(800*"h"/(("g"_{"1"})-("g"_{"2"})))`

Example

`"612.4324m"=2*"490m"-(800*"1.7m"/(("2.2")-("-1.5")))`

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Length of Curve when Height of Observer and Object are Same Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
L_c = 2*SD-(800*h/((g₁)-(g₂)))
This formula uses 5 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.
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.
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 Vertical Curves: 1.7 Meter --> 1.7 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-(800*h/((g₁)-(g₂))) --> 2*490-(800*1.7/((2.2)-((-1.5))))

Evaluating ... ...

L_c = 612.432432432433

STEP 3: Convert Result to Output's Unit

612.432432432433 Meter --> No Conversion Required

FINAL ANSWER

612.432432432433 ≈ 612.4324 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 Height of Observer and Object are Same Formula

Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
L_c = 2*SD-(800*h/((g₁)-(g₂)))

What is the difference between Crest and Sag Vertical Curves?

Crest vertical curves are used to transition from a descending grade to an ascending grade, while sag vertical curves are used to transition from an ascending grade to a descending grade. Crest curves are typically longer and flatter than sag curves due to the need for drivers to be able to see over the crest of the curve, whereas sag curves are steeper and shorter.

What Factors affect the Design of Vertical Curves?

Several factors affect the design of vertical curves, including the design speed of the roadway or railway, the vertical alignment of the roadway or railway, the design vehicle or train characteristics, the horizontal curvature of the roadway or railway, and the desired stopping sight distance.

How to Calculate Length of Curve when Height of Observer and Object are Same?

Length of Curve when Height of Observer and Object are Same calculator uses Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade))) to calculate the Length of Curve, The Length of Curve when Height of Observer and Object are Same is defined for a situation where the sight distance between the vehicles or observer and object is more than the length of curve. Length of Curve is denoted by L_c symbol.

How to calculate Length of Curve when Height of Observer and Object are Same using this online calculator? To use this online calculator for Length of Curve when Height of Observer and Object are Same, enter Sight Distance SSD (SD), Height of Vertical Curves (h), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button. Here is how the Length of Curve when Height of Observer and Object are Same calculation can be explained with given input values -> 612.4324 = 2*490-(800*1.7/((2.2)-((-1.5)))).

FAQ

What is Length of Curve when Height of Observer and Object are Same?

The Length of Curve when Height of Observer and Object are Same is defined for a situation where the sight distance between the vehicles or observer and object is more than the length of curve and is represented as L_c = 2*SD-(800*h/((g₁)-(g₂))) or Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((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 Vertical Curves is the distance between the lowest and highest points of a person standing upright, 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 Height of Observer and Object are Same?

The Length of Curve when Height of Observer and Object are Same is defined for a situation where the sight distance between the vehicles or observer and object is more than the length of curve is calculated using Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade))). To calculate Length of Curve when Height of Observer and Object are Same, you need Sight Distance SSD (SD), Height of Vertical Curves (h), Upgrade (g₁) & Downgrade (g₂). With our tool, you need to enter the respective value for Sight Distance SSD, Height of Vertical Curves, 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 Vertical Curves, 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-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((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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