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

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Length of Valley Curve

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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%
✖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 Curve [L_s]			+10% -10%
✖Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.ⓘ Inclination [α_angle]			+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 Eye Height given Length of Valley Curve Greater than Stopping Sight Distance [h₁]

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Formula

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

Formula

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

Example

`"0.672308m"=("0.88rad"*("3.56m")^2-2*"7m"*"3.56m"*tan("2°"))/(2*"7m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Inclination: 2 Degree --> 0.03490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h₁ = (N*S^2-2*L_s*S*tan(α_angle))/(2*L_s) --> (0.88*3.56^2-2*7*3.56*tan(0.03490658503988))/(2*7)

Evaluating ... ...

h₁ = 0.672308346323687

STEP 3: Convert Result to Output's Unit

0.672308346323687 Meter --> No Conversion Required

FINAL ANSWER

0.672308346323687 ≈ 0.672308 Meter <-- Driver Sight Height

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Vertical alignment » Length of Valley Curve » Length of Valley Curve greater than Stopping Sight Distance » Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance

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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))

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

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

Driver Eye Height given Length of valley curve greater than stopping sight distance

"Driver Eye Height given Length of valley curve greater than stopping sight distance" signifies the specific height or elevation of a driver's eyes required for a situation where the length of a valley curve extends beyond the distance necessary for a vehicle to stop within the driver's line of sight. This height is calculated in response to safety concerns regarding visibility and stopping distances in such scenarios.

How to Calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance calculator uses Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve) to calculate the Driver Sight Height, Driver Eye Height given Length of valley curve greater than stopping sight distance formula is defined as the difference between the product of the deviation angle and the square of the sight distance minus twice the product of the curve length, the sight distance, and the tangent of the inclination, all divided by twice the curve length. Driver Sight Height is denoted by h₁ symbol.

How to calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance using this online calculator? To use this online calculator for Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance, enter Deviation Angle (N), Sight Distance (S), Length of Curve (L_s) & Inclination (α_angle) and hit the calculate button. Here is how the Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance calculation can be explained with given input values -> 0.672308 = (0.88*3.56^2-2*7*3.56*tan(0.03490658503988))/(2*7).

FAQ

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

Driver Eye Height given Length of valley curve greater than stopping sight distance formula is defined as the difference between the product of the deviation angle and the square of the sight distance minus twice the product of the curve length, the sight distance, and the tangent of the inclination, all divided by twice the curve length and is represented as h₁ = (N*S^2-2*L_s*S*tan(α_angle))/(2*L_s) or Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve). 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, Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave & Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

How to calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance?

Driver Eye Height given Length of valley curve greater than stopping sight distance formula is defined as the difference between the product of the deviation angle and the square of the sight distance minus twice the product of the curve length, the sight distance, and the tangent of the inclination, all divided by twice the curve length is calculated using Driver Sight Height = (Deviation Angle*Sight Distance^2-2*Length of Curve*Sight Distance*tan(Inclination))/(2*Length of Curve). To calculate Driver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance, you need Deviation Angle (N), Sight Distance (S), Length of Curve (L_s) & Inclination (α_angle). With our tool, you need to enter the respective value for Deviation Angle, Sight Distance, Length of Curve & 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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