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

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Length of Valley Curve Less than Stopping Sight Distance

Design of Valley Curve

Length of Valley Curve greater than Stopping Sight Distance

✖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%
✖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%
✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+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 Sight Height given Length of Valley Curve Less than Stopping Sight Distance [h₁]

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Formula

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Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance

Formula

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

Example

`"0.071518m"=(("7m"-2*"3.56m")*"0.88rad"+2*"3.56m"*tan("2°"))/2`

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

STEP 0: Pre-Calculation Summary

Formula Used

Driver Sight Height = ((Length of Curve-2*Sight Distance)*Deviation Angle+2*Sight Distance*tan(Inclination))/2
h₁ = ((L_s-2*S)*N+2*S*tan(α_angle))/2
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.
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.
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.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
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

Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required
Inclination: 2 Degree --> 0.03490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

h₁ = 0.0715179393905984

STEP 3: Convert Result to Output's Unit

0.0715179393905984 Meter --> No Conversion Required

FINAL ANSWER

0.0715179393905984 ≈ 0.071518 Meter <-- Driver Sight Height

(Calculation completed in 00.004 seconds)

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

Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance

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

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

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

Length of Valley Curve Less than Stopping Sight Distance

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

Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance

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

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

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

Length of Valley Curve Less than Stopping Sight Distance

The "Length of Valley Curve Less than Stopping Sight Distance" refers to the segment of a road that forms a downward slope or depression (valley) and is shorter than the stopping sight distance required for safe driving. This length indicates a section where the road curvature is such that a driver can see the road ahead within a distance that is less than the stopping sight distance, potentially posing a visibility challenge and requiring caution.

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

Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance calculator uses Driver Sight Height = ((Length of Curve-2*Sight Distance)*Deviation Angle+2*Sight Distance*tan(Inclination))/2 to calculate the Driver Sight Height, The Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance formula is defined as subtracting the quantity of the length of the curve minus two times the sight distance multiplied by the deviation angle and two times the sight distance multiplied by the tangent of the inclination, then dividing the result by 2. Driver Sight Height is denoted by h₁ symbol.

How to calculate Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance using this online calculator? To use this online calculator for Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance, enter Length of Curve (L_s), Sight Distance (S), Deviation Angle (N) & Inclination (α_angle) and hit the calculate button. Here is how the Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance calculation can be explained with given input values -> 0.071518 = ((7-2*3.56)*0.88+2*3.56*tan(0.03490658503988))/2.

FAQ

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

The Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance formula is defined as subtracting the quantity of the length of the curve minus two times the sight distance multiplied by the deviation angle and two times the sight distance multiplied by the tangent of the inclination, then dividing the result by 2 and is represented as h₁ = ((L_s-2*S)*N+2*S*tan(α_angle))/2 or Driver Sight Height = ((Length of Curve-2*Sight Distance)*Deviation Angle+2*Sight Distance*tan(Inclination))/2. Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, 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, Deviation Angle is the angle between the reference direction and the observed direction & Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

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

The Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance formula is defined as subtracting the quantity of the length of the curve minus two times the sight distance multiplied by the deviation angle and two times the sight distance multiplied by the tangent of the inclination, then dividing the result by 2 is calculated using Driver Sight Height = ((Length of Curve-2*Sight Distance)*Deviation Angle+2*Sight Distance*tan(Inclination))/2. To calculate Driver Sight Height given Length of Valley Curve Less than Stopping Sight Distance, you need Length of Curve (L_s), Sight Distance (S), Deviation Angle (N) & Inclination (α_angle). With our tool, you need to enter the respective value for Length of Curve, Sight Distance, Deviation Angle & 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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