## 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))
αangle = atan((N*S^2-2*h1)/(2*S*Ls))
This formula uses 2 Functions, 5 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
atan - Inverse trigonometric tangent function, 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
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
αangle = atan((N*S^2-2*h1)/(2*S*Ls)) --> atan((0.88*3.56^2-2*0.75)/(2*3.56*7))
Evaluating ... ...
αangle = 0.191306613869968
STEP 3: Convert Result to Output's Unit
0.191306613869968 Radian -->10.9610615676901 Degree (Check conversion here)
10.9610615676901 10.96106 Degree <-- Inclination
(Calculation completed in 00.004 seconds)
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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
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
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
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
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))
αangle = atan((N*S^2-2*h1)/(2*S*Ls))

## 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 αangle 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 (Ls) 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 αangle = atan((N*S^2-2*h1)/(2*S*Ls)) 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 (Ls). 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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