Length of Valley Curve for Head Light Sight Distance when Length is more than SSD 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%
✖Average Head Light Height is the minimum height of the head light provided.ⓘ Average Head Light Height [h₁]			+10% -10%
✖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.ⓘ Beam Angle [α]			+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 for Head Light Sight Distance when Length is more than SSD [L_Vc]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))
L_Vc = (N*SSD^2)/(2*h₁+2*SSD*tan(α))
This formula uses 1 Functions, 5 Variables

Functions Used

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., tan(Angle)

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.
Average Head Light Height - (Measured in Meter) - Average Head Light Height is the minimum height of the head light provided.
Beam Angle - (Measured in Radian) - 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.

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
Average Head Light Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Beam Angle: 2.1 Degree --> 0.036651914291874 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Vc = (N*SSD^2)/(2*h₁+2*SSD*tan(α)) --> (0.08*160^2)/(2*0.75+2*160*tan(0.036651914291874))

Evaluating ... ...

L_Vc = 154.754460642456

STEP 3: Convert Result to Output's Unit

154.754460642456 Meter --> No Conversion Required

FINAL ANSWER

154.754460642456 ≈ 154.7545 Meter <-- Length of Valley Curve

(Calculation completed in 00.004 seconds)

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< Valley Curve Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX Go

Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))
L_Vc = (N*SSD^2)/(2*h₁+2*SSD*tan(α))

What is the length of valley curve?

The length of valley curve is designed based on two criteria first the allowable rate of change of centrifugal acceleration and head light height.

How to Calculate 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 calculator uses Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle)) to calculate 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 calculate Length of Valley Curve for Head Light Sight Distance when Length is more than SSD using this online calculator? To use this online calculator 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. Here is how the Length of Valley Curve for Head Light Sight Distance when Length is more than SSD calculation can be explained with given input values -> 154.7545 = (0.08*160^2)/(2*0.75+2*160*tan(0.036651914291874)).

FAQ

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

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 and is represented as L_Vc = (N*SSD^2)/(2*h₁+2*SSD*tan(α)) or Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle)). 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, Average Head Light Height is the minimum height of the head light provided & 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.

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

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 is calculated using Length of Valley Curve = (Deviation Angle*Stopping Sight Distance^2)/(2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle)). To calculate Length of Valley Curve for Head Light Sight Distance when Length is more than SSD, you need Deviation Angle (N), Stopping Sight Distance (SSD), Average Head Light Height (h₁) & Beam Angle (α). With our tool, you need to enter the respective value for Deviation Angle, Stopping Sight Distance, Average Head Light Height & Beam 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 Deviation Angle, Stopping Sight Distance, Average Head Light Height & Beam 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/(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)

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