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

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

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Formula

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

Formula

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

Example

`"231.25m"=2*"160m"-((1.5+0.035*"160m")/"0.08")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)
L_Vc = 2*SSD-((1.5+0.035*SSD)/N)
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.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Deviation Angle - Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

L_Vc = 231.25

STEP 3: Convert Result to Output's Unit

231.25 Meter --> No Conversion Required

FINAL ANSWER

231.25 Meter <-- Length of Valley Curve

(Calculation completed in 00.004 seconds)

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Gautam Buddha University (GBU), Greater Noida

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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 Beam Angle and Height of Head Light Formula

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

What is the difference between Summit curve and valley curve?

Just as a circular curve is used to connect horizontal straight stretches of road, vertical curves connect two gradients. When these two curves meet, they form either convex or concave. The former is called a summit curve, while the latter is called a valley curve.

What factors that govern the length of Valley curves?

The length of the valley curve is designed on the basis of two criteria:
i) The allowable rate of change of centrifugal acceleration of 0.06 m/sec. ii) The headlight sight distance. The higher of the two values is adopted.

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

Length of Valley Curve given Beam Angle and Height of Head Light calculator uses Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle) to calculate the Length of Valley Curve, The Length of Valley Curve given Beam Angle and Height of Head Light is provided is defined for when the vehicle is at the start of the valley curve. Length of Valley Curve is denoted by L_Vc symbol.

How to calculate Length of Valley Curve given Beam Angle and Height of Head Light using this online calculator? To use this online calculator for Length of Valley Curve given Beam Angle and Height of Head Light, enter Stopping Sight Distance (SSD) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Valley Curve given Beam Angle and Height of Head Light calculation can be explained with given input values -> 231.25 = 2*160-((1.5+0.035*160)/0.08).

FAQ

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

The Length of Valley Curve given Beam Angle and Height of Head Light is provided is defined for when the vehicle is at the start of the valley curve and is represented as L_Vc = 2*SSD-((1.5+0.035*SSD)/N) or Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle). Stopping Sight Distance is defined as distance provided on the road before a sharp turn & Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

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

The Length of Valley Curve given Beam Angle and Height of Head Light is provided is defined for when the vehicle is at the start of the valley curve is calculated using Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle). To calculate Length of Valley Curve given Beam Angle and Height of Head Light, you need Stopping Sight Distance (SSD) & Deviation Angle (N). With our tool, you need to enter the respective value for Stopping Sight Distance & Deviation Angle 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 Stopping Sight Distance & Deviation Angle. 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 = Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance)
Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)

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