Inclination 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

✖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%
✖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 Angle given Length of Valley Curve Less than Stopping Sight Distance [α_angle]

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Formula

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

Formula

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

Example

`"11.08072°"=atan((("7m"-2*"3.56m")*"0.88rad"+2*"0.75m")/(2*"3.56m"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance))
α_angle = atan(((L_s-2*S)*N+2*h₁)/(2*S))
This formula uses 2 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

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.
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.
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.

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
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_angle = atan(((L_s-2*S)*N+2*h₁)/(2*S)) --> atan(((7-2*3.56)*0.88+2*0.75)/(2*3.56))

Evaluating ... ...

α_angle = 0.19339497569565

STEP 3: Convert Result to Output's Unit

0.19339497569565 Radian -->11.080715886398 Degree (Check conversion here)

FINAL ANSWER

11.080715886398 ≈ 11.08072 Degree <-- Inclination

(Calculation completed in 00.020 seconds)

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

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

Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance))
α_angle = atan(((L_s-2*S)*N+2*h₁)/(2*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 Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance?

Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance calculator uses Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance)) to calculate the Inclination, The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance. Inclination is denoted by α_angle symbol.

How to calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance using this online calculator? To use this online calculator for Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance, enter Length of Curve (L_s), Sight Distance (S), Deviation Angle (N) & Driver Sight Height (h₁) and hit the calculate button. Here is how the Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance calculation can be explained with given input values -> 634.8783 = atan(((7-2*3.56)*0.88+2*0.75)/(2*3.56)).

FAQ

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

The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance and is represented as α_angle = atan(((L_s-2*S)*N+2*h₁)/(2*S)) or Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*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, 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 & Driver Sight Height refers to the vertical distance between the driver's eye level and the road surface while seated in a vehicle.

How to calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance?

The Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance formula is defined as an inverse tan of the result obtained by adding the product of the deviation angle and the length of the curve to twice the driver's eye height, all divided by twice the sight distance is calculated using Inclination = atan(((Length of Curve-2*Sight Distance)*Deviation Angle+2*Driver Sight Height)/(2*Sight Distance)). To calculate Inclination Angle given Length of Valley Curve Less than Stopping Sight Distance, you need Length of Curve (L_s), Sight Distance (S), Deviation Angle (N) & Driver Sight Height (h₁). With our tool, you need to enter the respective value for Length of Curve, Sight Distance, Deviation Angle & Driver Sight Height 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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