Length of Valley Curve given Height of Head Light and Beam Angle Calculator

✖Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.ⓘ Deviation Angle [N]			+10% -10%
✖Stopping Sight Distance is defined as distance provided on the road before a sharp turn.ⓘ Stopping Sight Distance [SSD]			+10% -10%

✖Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length.ⓘ Length of Valley Curve given Height of Head Light and Beam Angle [L_Vc]

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Formula

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Length of Valley Curve given Height of Head Light and Beam Angle

Formula

`"L"_{"Vc"} = "N"*"SSD"^2/(1.5+0.035*"SSD")`

Example

`"288.4507m"="0.08"*("160m")^2/(1.5+0.035*"160m")`

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Length of Valley Curve given Height of Head Light and Beam Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance)
L_Vc = N*SSD^2/(1.5+0.035*SSD)
This formula uses 3 Variables

Variables Used

Length of Valley Curve - (Measured in Meter) - Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length.
Deviation Angle - Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.

STEP 1: Convert Input(s) to Base Unit

Deviation Angle: 0.08 --> No Conversion Required
Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Vc = N*SSD^2/(1.5+0.035*SSD) --> 0.08*160^2/(1.5+0.035*160)

Evaluating ... ...

L_Vc = 288.450704225352

STEP 3: Convert Result to Output's Unit

288.450704225352 Meter --> No Conversion Required

FINAL ANSWER

288.450704225352 ≈ 288.4507 Meter <-- Length of Valley Curve

(Calculation completed in 00.004 seconds)

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< 4 Valley Curve Calculators

Length of Valley Curve for Head Light Sight Distance when Length is more than SSD

Go Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))

Length of Valley Curve for Head Light Sight Distance when Length is less than SSD

Go Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)

Length of Valley Curve given Beam Angle and Height of Head Light

Go Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)

Length of Valley Curve given Height of Head Light and Beam Angle

Go Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance)

Length of Valley Curve given Height of Head Light and Beam Angle Formula

Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance)
L_Vc = N*SSD^2/(1.5+0.035*SSD)

What is the provided head light height and beam angle?

The length of valley curve is assumed to be greater than SSD and usually average height of the head light is taken as 0.75m and beam angle is 1.

How to Calculate Length of Valley Curve given Height of Head Light and Beam Angle?

Length of Valley Curve given Height of Head Light and Beam Angle calculator uses Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance) to calculate the Length of Valley Curve, The Length of Valley Curve given Height of Head Light and Beam Angle formula is defined as ratio of deviation angle to the stopping sight distance. Length of Valley Curve is denoted by L_Vc symbol.

How to calculate Length of Valley Curve given Height of Head Light and Beam Angle using this online calculator? To use this online calculator for Length of Valley Curve given Height of Head Light and Beam Angle, enter Deviation Angle (N) & Stopping Sight Distance (SSD) and hit the calculate button. Here is how the Length of Valley Curve given Height of Head Light and Beam Angle calculation can be explained with given input values -> 288.4507 = 0.08*160^2/(1.5+0.035*160).

FAQ

What is Length of Valley Curve given Height of Head Light and Beam Angle?

The Length of Valley Curve given Height of Head Light and Beam Angle formula is defined as ratio of deviation angle to the stopping sight distance and is represented as L_Vc = N*SSD^2/(1.5+0.035*SSD) or Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance). Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests & Stopping Sight Distance is defined as distance provided on the road before a sharp turn.

How to calculate Length of Valley Curve given Height of Head Light and Beam Angle?

The Length of Valley Curve given Height of Head Light and Beam Angle formula is defined as ratio of deviation angle to the stopping sight distance is calculated using Length of Valley Curve = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance). To calculate Length of Valley Curve given Height of Head Light and Beam Angle, you need Deviation Angle (N) & Stopping Sight Distance (SSD). With our tool, you need to enter the respective value for Deviation Angle & Stopping Sight Distance 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 Valley Curve?

In this formula, Length of Valley Curve uses Deviation Angle & Stopping Sight Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))
Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)
Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)

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