Deviation Angle given Length of Summit Curve Calculator

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Vertical alignment

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Sight Distance

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Length of Summit Curve greater than Sight Distance

Length of Summit Curve Less than Sight Distance

Length of Summit Curve with Grade Angles

Length of Valley Curve

✖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%
✖The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.ⓘ The Height of The Obstruction [h₂]			+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 given Length of Summit Curve [N]

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Formula

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Deviation Angle given Length of Summit Curve

Formula

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

Example

`"2.374166rad"=(2*"7m"*(sqrt("0.75m")+sqrt("0.36m"))^2)/("3.56m")^2`

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Deviation Angle given Length of Summit Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2
N = (2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/S^2
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
The Height of The Obstruction - (Measured in Meter) - The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety.
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.

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
The Height of The Obstruction: 0.36 Meter --> 0.36 Meter No Conversion Required
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/S^2 --> (2*7*(sqrt(0.75)+sqrt(0.36))^2)/3.56^2

Evaluating ... ...

N = 2.37416572904136

STEP 3: Convert Result to Output's Unit

2.37416572904136 Radian --> No Conversion Required

FINAL ANSWER

2.37416572904136 ≈ 2.374166 Radian <-- Deviation Angle

(Calculation completed in 00.004 seconds)

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< 6 Length of Summit Curve greater than Sight Distance Calculators

Sight Distance given Length of Summit Curve

Go Sight Distance = sqrt((2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Deviation Angle)

Length of Summit Curve given Deviation Angle and Sight Distance

Go Length of Curve = (Deviation Angle*Sight Distance^2)/(2*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)

Deviation Angle given Length of Summit Curve

Go Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2

Radius of Curve given Length of Curve and Deviation Angle

Go Radius of Curve = Length of Curve/Deviation Angle

Deviation Angle given Length of Curve and Radius of Curve

Go Deviation Angle = Length of Curve/Radius of Curve

Length of Curve given Radius of Curve and Deviation Angle

Go Length of Curve = Radius of Curve*Deviation Angle

Deviation Angle given Length of Summit Curve Formula

Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2
N = (2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/S^2

Length of Summit Curve

The length of a summit curve, in the context of transportation or road design, is the distance required to smoothly transition from an uphill segment of a road to a downhill segment while ensuring safe visibility and navigation for vehicles.

How to Calculate Deviation Angle given Length of Summit Curve?

Deviation Angle given Length of Summit Curve calculator uses Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2 to calculate the Deviation Angle, Deviation Angle given Length of Summit Curve formula is defined as twice the curve length by the sum of the square roots of driver's eye height and obstruction height, all divided by the square of the sight distance. Deviation Angle is denoted by N symbol.

How to calculate Deviation Angle given Length of Summit Curve using this online calculator? To use this online calculator for Deviation Angle given Length of Summit Curve, enter Length of Curve (L_s), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Sight Distance (S) and hit the calculate button. Here is how the Deviation Angle given Length of Summit Curve calculation can be explained with given input values -> 6.270909 = (2*7*(sqrt(0.75)+sqrt(0.36))^2)/3.56^2.

FAQ

What is Deviation Angle given Length of Summit Curve?

Deviation Angle given Length of Summit Curve formula is defined as twice the curve length by the sum of the square roots of driver's eye height and obstruction height, all divided by the square of the sight distance and is represented as N = (2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/S^2 or Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/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, The Height of The Obstruction refers to its vertical dimension, blocking a line of sight or path, often in transportation, construction or safety & 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.

How to calculate Deviation Angle given Length of Summit Curve?

Deviation Angle given Length of Summit Curve formula is defined as twice the curve length by the sum of the square roots of driver's eye height and obstruction height, all divided by the square of the sight distance is calculated using Deviation Angle = (2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Sight Distance^2. To calculate Deviation Angle given Length of Summit Curve, you need Length of Curve (L_s), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Sight Distance (S). With our tool, you need to enter the respective value for Length of Curve, Driver Sight Height, The Height of The Obstruction & Sight Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Deviation Angle?

In this formula, Deviation Angle uses Length of Curve, Driver Sight Height, The Height of The Obstruction & Sight Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Deviation Angle = Length of Curve/Radius of Curve

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