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Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length. Check FAQs
LVc=2⋅SSD-(2⋅h1+2⋅SSD⋅tan(α)N)
LVc - Length of Valley Curve?SSD - Stopping Sight Distance?h1 - Average Head Light Height?α - Beam Angle?N - Deviation Angle?

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

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Here is how the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD equation looks like with Values.

Here is how the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD equation looks like with Units.

Here is how the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD equation looks like.

154.5767Edit=2⋅160Edit-(2⋅0.75Edit+2⋅160Edit⋅tan(2.1Edit)0.08Edit)
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Length of Valley Curve for Head Light Sight Distance when Length is less than SSD Solution

Follow our step by step solution on how to calculate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD?

FIRST Step Consider the formula
LVc=2⋅SSD-(2⋅h1+2⋅SSD⋅tan(α)N)
Next Step Substitute values of Variables
∴ LVc=2⋅160m-(2⋅0.75m+2⋅160m⋅tan(2.1°)0.08)
Next Step Convert Units
∴ LVc=2⋅160m-(2⋅0.75m+2⋅160m⋅tan(0.0367rad)0.08)
Next Step Prepare to Evaluate
∴ LVc=2⋅160-(2⋅0.75+2⋅160⋅tan(0.0367)0.08)
Next Step Evaluate
∴LVc=154.576658445109m
LAST Step Rounding Answer
∴LVc=154.5767m

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

Variables
Functions
Length of Valley Curve
Length of valley curve is the valley transition curve made fully transitional by providing two similar transition curves of equal length.
Symbol: LVc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Length of Valley CurveOpen Variable
Stopping Sight Distance
Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Symbol: SSD
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Stopping Sight DistanceOpen Variable
Average Head Light Height
Average Head Light Height is the minimum height of the head light provided.
Symbol: h1
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Average Head Light HeightOpen Variable
Beam Angle
Beam angle is the angle between the two directions for which the intensity is 50% of the maximum intensity as measured in a plane through the nominal beam centerline.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Formulas to find Beam AngleOpen Variable
Deviation Angle
Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.
Symbol: N
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Deviation AngleOpen Variable
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)

Other Formulas to find Length of Valley Curve

​Go Length of Valley Curve for Head Light Sight Distance when Length is more than SSD
LVc=N⋅SSD22⋅h1+2⋅SSD⋅tan(α)
​Go Length of Valley Curve given Height of Head Light and Beam Angle
LVc=N⋅SSD21.5+0.035⋅SSD
​Go Length of Valley Curve given Beam Angle and Height of Head Light
LVc=2⋅SSD-(1.5+0.035⋅SSDN)

How to Evaluate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD?

Length of Valley Curve for Head Light Sight Distance when Length is less than SSD evaluator uses Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle) to evaluate the Length of Valley Curve, The Length of Valley Curve for Head Light Sight Distance when Length is less than SSD formula is defined as when the vehicle be at the start of the valley curve or at the tangent point. Length of Valley Curve is denoted by LVc symbol.

How to evaluate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD using this online evaluator? To use this online evaluator for Length of Valley Curve for Head Light Sight Distance when Length is less than SSD, enter Stopping Sight Distance (SSD), Average Head Light Height (h1), Beam Angle (α) & Deviation Angle (N) and hit the calculate button.

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

What is the formula to find Length of Valley Curve for Head Light Sight Distance when Length is less than SSD?
The formula of Length of Valley Curve for Head Light Sight Distance when Length is less than SSD is expressed as Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle). Here is an example- 154.5767 = 2*160-((2*0.75+2*160*tan(0.036651914291874))/0.08).
How to calculate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD?
With Stopping Sight Distance (SSD), Average Head Light Height (h1), Beam Angle (α) & Deviation Angle (N) we can find Length of Valley Curve for Head Light Sight Distance when Length is less than SSD using the formula - Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle). This formula also uses Tangent (tan) function(s).
What are the other ways to Calculate Length of Valley Curve?
Here are the different ways to Calculate Length of Valley Curve-
  • Length of Valley Curve=(Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))OpenImg
  • Length of Valley Curve=Deviation Angle*Stopping Sight Distance^2/(1.5+0.035*Stopping Sight Distance)OpenImg
  • Length of Valley Curve=2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)OpenImg
Can the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD be negative?
No, the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD, measured in Length cannot be negative.
Which unit is used to measure Length of Valley Curve for Head Light Sight Distance when Length is less than SSD?
Length of Valley Curve for Head Light Sight Distance when Length is less than SSD is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Valley Curve for Head Light Sight Distance when Length is less than SSD can be measured.
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