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

✖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%
✖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 for Head Light Sight Distance when Length is less than SSD [L_Vc]

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

Formula

`"L"_{"Vc"} = 2*"SSD"-((2*"h"_{"1"}+2*"SSD"*tan("α"))/"N")`

Example

`"154.5767m"=2*"160m"-((2*"0.75m"+2*"160m"*tan("2.1°"))/"0.08")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)
L_Vc = 2*SSD-((2*h₁+2*SSD*tan(α))/N)
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.
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.
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
Average Head Light Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Beam Angle: 2.1 Degree --> 0.036651914291874 Radian (Check conversion here)
Deviation Angle: 0.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

L_Vc = 154.576658445109

STEP 3: Convert Result to Output's Unit

154.576658445109 Meter --> No Conversion Required

FINAL ANSWER

154.576658445109 ≈ 154.5767 Meter <-- Length of Valley Curve

(Calculation completed in 00.004 seconds)

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Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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Coorg Institute of Technology (CIT), Coorg

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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 for Head Light Sight Distance when Length is less than SSD Formula

Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle)
L_Vc = 2*SSD-((2*h₁+2*SSD*tan(α))/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 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 calculator uses Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle) to calculate 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 L_Vc symbol.

How to calculate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD using this online calculator? To use this online calculator 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. Here is how the Length of Valley Curve for Head Light Sight Distance when Length is less than SSD calculation can be explained with given input values -> 154.5767 = 2*160-((2*0.75+2*160*tan(0.036651914291874))/0.08).

FAQ

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

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 and is represented as L_Vc = 2*SSD-((2*h₁+2*SSD*tan(α))/N) or Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle). 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 & Deviation Angle of Vertical curve is the algebraic difference in grades or gradiests.

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

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 is calculated using Length of Valley Curve = 2*Stopping Sight Distance-((2*Average Head Light Height+2*Stopping Sight Distance*tan(Beam Angle))/Deviation Angle). To calculate Length of Valley Curve for Head Light Sight Distance when Length is less than SSD, you need Stopping Sight Distance (SSD), Average Head Light Height (h₁), Beam Angle (α) & Deviation Angle (N). With our tool, you need to enter the respective value for Stopping Sight Distance, Average Head Light Height, Beam Angle & 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, Average Head Light Height, Beam Angle & 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-((1.5+0.035*Stopping Sight Distance)/Deviation Angle)

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