Deviation Angle given 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

✖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%
✖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%
✖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%
✖Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.ⓘ Inclination [α_angle]			+10% -10%

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

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Formula

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

Formula

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

Example

`"0.965823rad"=("7m"*(2*"0.75m"+2*"3.56m"*tan("2°")))/("3.56m")^2`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.
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.
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.
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.
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
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Inclination: 2 Degree --> 0.03490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

N = 0.965822745823474

STEP 3: Convert Result to Output's Unit

0.965822745823474 Radian --> No Conversion Required

FINAL ANSWER

0.965822745823474 ≈ 0.965823 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 greater than Stopping Sight Distance » Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance

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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))

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

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

Deviation Angle given Length of valley curve greater than stopping sight distance

The "Deviation Angle given Length of valley curve greater than stopping sight distance" refers to the angular disparity between the line of sight and the horizontal plane. It is calculated in response to a scenario where the curve's length in a valley exceeds the distance required for a vehicle to stop within the driver's line of sight, often computed to address safety and visibility concerns.

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

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

How to calculate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance using this online calculator? To use this online calculator for Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance, enter Length of Curve (L_s), Driver Sight Height (h₁), Sight Distance (S) & Inclination (α_angle) and hit the calculate button. Here is how the Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance calculation can be explained with given input values -> 0.965823 = (7*(2*0.75+2*3.56*tan(0.03490658503988)))/3.56^2.

FAQ

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

The Deviation Angle given Length of valley curve greater than stopping sight distance formula is defined as the product of the curve length multiplied by the sum of two times the driver's eye height and two times the sight distance, all divided by the square of the sight distance and is represented as N = (L_s*(2*h₁+2*S*tan(α_angle)))/S^2 or Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2. Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle, 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 & Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.

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

The Deviation Angle given Length of valley curve greater than stopping sight distance formula is defined as the product of the curve length multiplied by the sum of two times the driver's eye height and two times the sight distance, all divided by the square of the sight distance is calculated using Deviation Angle = (Length of Curve*(2*Driver Sight Height+2*Sight Distance*tan(Inclination)))/Sight Distance^2. To calculate Deviation Angle given Length of Valley Curve Greater than Stopping Sight Distance, you need Length of Curve (L_s), Driver Sight Height (h₁), Sight Distance (S) & Inclination (α_angle). With our tool, you need to enter the respective value for Length of Curve, Driver Sight Height, Sight Distance & 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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