Inclination 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

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+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%
✖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%
✖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%

✖Inclination refers to the angle or slope of an object or surface concerning the horizontal plane.ⓘ Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance [α_angle]

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Formula

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

Formula

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

Example

`"10.96106°"=atan(("0.88rad"*("3.56m")^2-2*"0.75m")/(2*"3.56m"*"7m"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Inclination = atan((Deviation Angle*Sight Distance^2-2*Driver Sight Height)/(2*Sight Distance*Length of Curve))
α_angle = atan((N*S^2-2*h₁)/(2*S*L_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.
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.
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

Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Driver Sight Height: 0.75 Meter --> 0.75 Meter No Conversion Required
Length of Curve: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

α_angle = 0.191306613869968

STEP 3: Convert Result to Output's Unit

0.191306613869968 Radian -->10.9610615676901 Degree (Check conversion here)

FINAL ANSWER

10.9610615676901 ≈ 10.96106 Degree <-- Inclination

(Calculation completed in 00.005 seconds)

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

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

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

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

The "Inclination Angle given Length of valley curve greater than stopping sight distance" is the angle of slope or gradient required in a valley curve where the curve's length exceeds the stopping sight distance for safe visibility and stopping, typically calculated to address the visibility and safety concerns posed by this scenario.

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

Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance calculator uses Inclination = atan((Deviation Angle*Sight Distance^2-2*Driver Sight Height)/(2*Sight Distance*Length of Curve)) to calculate the Inclination, The Inclination Angle given Length of valley curve greater than stopping sight distance formula is defined asthe deviation angle multiplied by the square of the sight distance minus twice the product of the curve length and the driver's eye height, all divided by twice the sight distance multiplied by the curve length. Inclination is denoted by α_angle symbol.

How to calculate Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance using this online calculator? To use this online calculator for Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance, enter Deviation Angle (N), Sight Distance (S), Driver Sight Height (h₁) & Length of Curve (L_s) and hit the calculate button. Here is how the Inclination Angle given Length of Valley Curve Greater than Stopping Sight Distance calculation can be explained with given input values -> 628.0226 = atan((0.88*3.56^2-2*0.75)/(2*3.56*7)).

FAQ

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

The Inclination Angle given Length of valley curve greater than stopping sight distance formula is defined asthe deviation angle multiplied by the square of the sight distance minus twice the product of the curve length and the driver's eye height, all divided by twice the sight distance multiplied by the curve length and is represented as α_angle = atan((N*S^2-2*h₁)/(2*S*L_s)) or Inclination = atan((Deviation Angle*Sight Distance^2-2*Driver Sight Height)/(2*Sight Distance*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, 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 is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.

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

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