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

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

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

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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

L Vc = \frac{N \cdot {SSD}^{2}}{2 \cdot h 1 + 2 \cdot SSD \cdot \tan (α)}

L_Vc - Length of Valley Curve?N - Deviation Angle?SSD - Stopping Sight Distance?h₁ - Average Head Light Height?α - Beam Angle?

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

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

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

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

154.7545 = \frac{0.08 \cdot 160^{2}}{2 \cdot 0.75 + 2 \cdot 160 \cdot \tan (2.1)}

154.7545m = \frac{0.08 \cdot {160m}^{2}}{2 \cdot 0.75m + 2 \cdot 160m \cdot \tan (2.1°)}

154.7545 = \frac{0.08 \cdot 160^{2}}{2 \cdot 0.75 + 2 \cdot 160 \cdot \tan (2.1)}

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

FIRST Step Consider the formula

L Vc = \frac{N \cdot {SSD}^{2}}{2 \cdot h 1 + 2 \cdot SSD \cdot \tan (α)}

Next Step Substitute values of Variables

∴

L Vc = \frac{0.08 \cdot {160m}^{2}}{2 \cdot 0.75m + 2 \cdot 160m \cdot \tan (2.1°)}

Next Step Convert Units

∴

L Vc = \frac{0.08 \cdot {160m}^{2}}{2 \cdot 0.75m + 2 \cdot 160m \cdot \tan (0.0367rad)}

Next Step Prepare to Evaluate

∴

L Vc = \frac{0.08 \cdot 160^{2}}{2 \cdot 0.75 + 2 \cdot 160 \cdot \tan (0.0367)}

Next Step Evaluate

∴

L Vc = 154.754460642456m

LAST Step Rounding Answer

∴

L Vc = 154.7545m

Length of Valley Curve for Head Light Sight Distance when Length is more 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: L_Vc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Valley Curve

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 Angle

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 Distance

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 Height

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 Angle

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 given Height of Head Light and Beam Angle

L Vc = N \cdot \frac{{SSD}^{2}}{1.5 + 0.035 \cdot SSD}

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

L Vc = 2 \cdot SSD - (\frac{2 \cdot h 1 + 2 \cdot SSD \cdot \tan (α)}{N})

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

L Vc = 2 \cdot SSD - (\frac{1.5 + 0.035 \cdot SSD}{N})

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

Length of Valley Curve for Head Light Sight Distance when Length is more than SSD evaluator uses Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle)) to evaluate the Length of Valley Curve, The Length of Valley Curve for Head Light Sight Distance when Length is more than SSD formula is defined as ratio of product of deviation angle to the stopping sight distance to the sum of head light height to the stopping sight distance. Length of Valley Curve is denoted by L_Vc symbol.

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

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

What is the formula to find Length of Valley Curve for Head Light Sight Distance when Length is more than SSD?

The formula of Length of Valley Curve for Head Light Sight Distance when Length is more than SSD is expressed as Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle)). Here is an example- 154.7545 = (0.08*160^2)/(2*0.75+2*160*tan(0.036651914291874)).

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

With Deviation Angle (N), Stopping Sight Distance (SSD), Average Head Light Height (h₁) & Beam Angle (α) we can find Length of Valley Curve for Head Light Sight Distance when Length is more than SSD using the formula - Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam 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/(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)
Length of Valley Curve=2*Stopping Sight Distance-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)

Can the Length of Valley Curve for Head Light Sight Distance when Length is more than SSD be negative?

No, the Length of Valley Curve for Head Light Sight Distance when Length is more 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 more than SSD?

Length of Valley Curve for Head Light Sight Distance when Length is more 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 more than SSD can be measured.

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

​GoLength of Valley Curve given Height of Head Light and Beam Angle Formula

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

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

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

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

Other Formulas to find Length of Valley Curve

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

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

Variable Name

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

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