Deviation Angle 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

✖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 Curve [L_s]			+10% -10%

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

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Formula

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

Formula

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

Example

`"6.870195rad"=(2*"3.56m")-(2*"0.75m"+(2*"3.56m"*tan("2°")))/("7m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Length of Curve: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (2*S)-(2*h₁+(2*S*tan(α_angle)))/(L_s) --> (2*3.56)-(2*0.75+(2*3.56*tan(0.03490658503988)))/(7)

Evaluating ... ...

N = 6.87019487445983

STEP 3: Convert Result to Output's Unit

6.87019487445983 Radian --> No Conversion Required

FINAL ANSWER

6.87019487445983 ≈ 6.870195 Radian <-- Deviation Angle

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Vertical alignment » Length of Valley Curve » Length of Valley Curve Less than Stopping Sight Distance » Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance

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Dayanada Sagar college of Engineering (DSCE), banglore

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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

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

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

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

Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance calculator uses Deviation Angle = (2*Sight Distance)-(2*Driver Sight Height+(2*Sight Distance*tan(Inclination)))/(Length of Curve) to calculate the Deviation Angle, The Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance formula is defined as 2 times the sight distance, minus 2 times the driver's eye height, plus 2 times the sight distance multiplied by the tangent of the inclination angle, all divided by the length of the curve. Deviation Angle is denoted by N symbol.

How to calculate Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance using this online calculator? To use this online calculator for Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance, enter Sight Distance (S), Driver Sight Height (h₁), Inclination (α_angle) & Length of Curve (L_s) and hit the calculate button. Here is how the Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance calculation can be explained with given input values -> 6.870195 = (2*3.56)-(2*0.75+(2*3.56*tan(0.03490658503988)))/(7).

FAQ

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

The Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance formula is defined as 2 times the sight distance, minus 2 times the driver's eye height, plus 2 times the sight distance multiplied by the tangent of the inclination angle, all divided by the length of the curve and is represented as N = (2*S)-(2*h₁+(2*S*tan(α_angle)))/(L_s) or Deviation Angle = (2*Sight Distance)-(2*Driver Sight Height+(2*Sight Distance*tan(Inclination)))/(Length of Curve). 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 & Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

How to calculate Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance?

The Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance formula is defined as 2 times the sight distance, minus 2 times the driver's eye height, plus 2 times the sight distance multiplied by the tangent of the inclination angle, all divided by the length of the curve is calculated using Deviation Angle = (2*Sight Distance)-(2*Driver Sight Height+(2*Sight Distance*tan(Inclination)))/(Length of Curve). To calculate Deviation Angle Given Length of Valley Curve Less than Stopping Sight Distance, you need Sight Distance (S), Driver Sight Height (h₁), Inclination (α_angle) & Length of Curve (L_s). With our tool, you need to enter the respective value for Sight Distance, Driver Sight Height, Inclination & Length of Curve 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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