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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=2SSD-(1.5+0.035SSDN)
LVc - Length of Valley Curve?SSD - Stopping Sight Distance?N - Deviation Angle?

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

With values
With units
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Here is how the Length of Valley Curve given Beam Angle and Height of Head Light equation looks like with Values.

Here is how the Length of Valley Curve given Beam Angle and Height of Head Light equation looks like with Units.

Here is how the Length of Valley Curve given Beam Angle and Height of Head Light equation looks like.

231.25Edit=2160Edit-(1.5+0.035160Edit0.08Edit)
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Length of Valley Curve given Beam Angle and Height of Head Light Solution

Follow our step by step solution on how to calculate Length of Valley Curve given Beam Angle and Height of Head Light?

FIRST Step Consider the formula
LVc=2SSD-(1.5+0.035SSDN)
Next Step Substitute values of Variables
LVc=2160m-(1.5+0.035160m0.08)
Next Step Prepare to Evaluate
LVc=2160-(1.5+0.0351600.08)
LAST Step Evaluate
LVc=231.25m

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

Variables
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.
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.
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.

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=NSSD22h1+2SSDtan(α)
​Go Length of Valley Curve given Height of Head Light and Beam Angle
LVc=NSSD21.5+0.035SSD
​Go Length of Valley Curve for Head Light Sight Distance when Length is less than SSD
LVc=2SSD-(2h1+2SSDtan(α)N)

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

Length of Valley Curve given Beam Angle and Height of Head Light evaluator uses Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle) to evaluate 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 LVc symbol.

How to evaluate Length of Valley Curve given Beam Angle and Height of Head Light using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Length of Valley Curve given Beam Angle and Height of Head Light?
The formula of Length of Valley Curve given Beam Angle and Height of Head Light is expressed as Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle). Here is an example- 231.25 = 2*160-((1.5+0.035*160)/0.08).
How to calculate Length of Valley Curve given Beam Angle and Height of Head Light?
With Stopping Sight Distance (SSD) & Deviation Angle (N) we can find Length of Valley Curve given Beam Angle and Height of Head Light using the formula - Length of Valley Curve = 2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle).
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-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)OpenImg
Can the Length of Valley Curve given Beam Angle and Height of Head Light be negative?
No, the Length of Valley Curve given Beam Angle and Height of Head Light, measured in Length cannot be negative.
Which unit is used to measure Length of Valley Curve given Beam Angle and Height of Head Light?
Length of Valley Curve given Beam Angle and Height of Head Light 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 given Beam Angle and Height of Head Light can be measured.
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