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*Ls*S*tan(αangle))/(2*Ls)
This formula uses 1 Functions, 5 Variables
Functions Used
tan - Trigonometric tangent function, 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*Ls*S*tan(αangle))/(2*Ls) --> (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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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*Ls*S*tan(αangle))/(2*Ls)

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 (Ls) & Inclination 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*Ls*S*tan(αangle))/(2*Ls) 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 (Ls) & Inclination 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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