Length of Valley Curve Greater than Stopping Sight Distance Calculator

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Length of Valley Curve greater than Stopping Sight Distance

Design of Valley Curve

Length of Valley Curve Less than Stopping Sight Distance

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+10% -10%
✖Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.ⓘ Sight Distance [S]			+10% -10%
✖Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.ⓘ Driver Sight Height [h₁]			+10% -10%
✖Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.ⓘ Inclination [α_angle]			+10% -10%

✖Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.ⓘ Length of Valley Curve Greater than Stopping Sight Distance [L_s]

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Formula

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Length of Valley Curve Greater than Stopping Sight Distance

Formula

`"L"_{"s"} = ("N"*"S"^2)/(2*"h"_{"1"}+2*"S"*tan("α"_{"angle"}))`

Example

`"6.377982m"=("0.88rad"*("3.56m")^2)/(2*"0.75m"+2*"3.56m"*tan("2°"))`

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Length of Valley Curve Greater than Stopping Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination))
L_s = (N*S^2)/(2*h₁+2*S*tan(α_angle))
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 Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
Sight Distance - (Measured in Meter) - Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
Driver Sight Height - (Measured in Meter) - Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.
Inclination - (Measured in Radian) - Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

STEP 1: Convert Input(s) to Base Unit

Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Inclination: 2 Degree --> 0.03490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = (N*S^2)/(2*h₁+2*S*tan(α_angle)) --> (0.88*3.56^2)/(2*0.75+2*3.56*tan(0.03490658503988))

Evaluating ... ...

L_s = 6.37798190883142

STEP 3: Convert Result to Output's Unit

6.37798190883142 Meter --> No Conversion Required

FINAL ANSWER

6.37798190883142 ≈ 6.377982 Meter <-- Length of Curve

(Calculation completed in 00.008 seconds)

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Dayanada Sagar college of Engineering (DSCE), banglore

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< 4 Length of Valley Curve greater than Stopping Sight Distance Calculators

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance

Go Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve)

Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance

Go Inclination = atan((Deviation Angle*Sight Distance^2-2*Driver Sight Height)/(2*Sight Distance*Length of Curve))

Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance

Go Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2

Length of Valley Curve Greater than Stopping Sight Distance

Go Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination))

Length of Valley Curve Greater than Stopping Sight Distance Formula

Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination))
L_s = (N*S^2)/(2*h₁+2*S*tan(α_angle))

Length of valley curve greater than stopping sight distance

The "length of a valley curve greater than stopping sight distance" refers to a road or path section in a valley that extends beyond the distance required for a vehicle to stop within the driver's line of sight.

How to Calculate Length of Valley Curve Greater than Stopping Sight Distance?

Length of Valley Curve Greater than Stopping Sight Distance calculator uses Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination)) to calculate the Length of Curve, The Length of valley curve greater than stopping sight distance formula is defined as the product of the deviation angle and the square of the sight distance divided by twice the driver's eye height, added to two times the sight distance multiplied by the tangent of the inclination angle. Length of Curve is denoted by L_s symbol.

How to calculate Length of Valley Curve Greater than Stopping Sight Distance using this online calculator? To use this online calculator for Length of Valley Curve Greater than Stopping Sight Distance, enter Deviation Angle (N), Sight Distance (S), Driver Sight Height (h₁) & Inclination (α_angle) and hit the calculate button. Here is how the Length of Valley Curve Greater than Stopping Sight Distance calculation can be explained with given input values -> 6.377982 = (0.88*3.56^2)/(2*0.75+2*3.56*tan(0.03490658503988)).

FAQ

What is Length of Valley Curve Greater than Stopping Sight Distance?

The Length of valley curve greater than stopping sight distance formula is defined as the product of the deviation angle and the square of the sight distance divided by twice the driver's eye height, added to two times the sight distance multiplied by the tangent of the inclination angle and is represented as L_s = (N*S^2)/(2*h₁+2*S*tan(α_angle)) or Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination)). Deviation Angle is the angle between the reference direction and the observed direction, Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road, Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle & Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

How to calculate Length of Valley Curve Greater than Stopping Sight Distance?

The Length of valley curve greater than stopping sight distance formula is defined as the product of the deviation angle and the square of the sight distance divided by twice the driver's eye height, added to two times the sight distance multiplied by the tangent of the inclination angle is calculated using Length of Curve = (Deviation Angle*Sight Distance^2)/(2*Driver Sight Height+2*Sight Distance*tan(Inclination)). To calculate Length of Valley Curve Greater than Stopping Sight Distance, you need Deviation Angle (N), Sight Distance (S), Driver Sight Height (h₁) & Inclination (α_angle). With our tool, you need to enter the respective value for Deviation Angle, Sight Distance, Driver Sight Height & Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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