Length of Summit Curve given Deviation Angle and Sight Distance Calculator

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Vertical alignment

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Length of Summit Curve greater than Sight Distance

Length of Summit Curve Less than Sight Distance

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Length of Valley Curve

✖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%
✖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%

✖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 Summit Curve given Deviation Angle and Sight Distance [L_s]

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Formula

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Length of Summit Curve given Deviation Angle and Sight Distance

Formula

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

Example

`"2.594596m"=("0.88rad"*("3.56m")^2)/(2*(sqrt("0.75m")+sqrt("0.36m"))^2)`

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Length of Summit Curve given Deviation Angle and Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = (N*S^2)/(2*(sqrt(h₁)+sqrt(h₂))^2) --> (0.88*3.56^2)/(2*(sqrt(0.75)+sqrt(0.36))^2)

Evaluating ... ...

L_s = 2.59459561927351

STEP 3: Convert Result to Output's Unit

2.59459561927351 Meter --> No Conversion Required

FINAL ANSWER

2.59459561927351 ≈ 2.594596 Meter <-- Length of Curve

(Calculation completed in 00.020 seconds)

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Dayanada Sagar college of Engineering (DSCE), banglore

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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

Length of Summit Curve given Deviation Angle and Sight Distance Formula

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

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

How to calculate Length of Summit Curve given Deviation Angle and Sight Distance using this online calculator? To use this online calculator for Length of Summit Curve given Deviation Angle and Sight Distance, enter Deviation Angle (N), Sight Distance (S), Driver Sight Height (h₁) & The Height of The Obstruction (h₂) and hit the calculate button. Here is how the Length of Summit Curve given Deviation Angle and Sight Distance calculation can be explained with given input values -> 0.982314 = (0.88*3.56^2)/(2*(sqrt(0.75)+sqrt(0.36))^2).

FAQ

What is Length of Summit Curve given Deviation Angle and Sight Distance?

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

How to calculate Length of Summit Curve given Deviation Angle and Sight Distance?

Length of Summit Curve given Deviation Angle and Sight Distance is defined as the deviation angle times the square of the sight distance, divided by twice the square of the sum of the square roots of the driver's eye height and the obstruction height is calculated using Length of Curve = (Deviation Angle*Sight Distance^2)/(2*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2). To calculate Length of Summit Curve given Deviation Angle and Sight Distance, you need Deviation Angle (N), Sight Distance (S), Driver Sight Height (h₁) & The Height of The Obstruction (h₂). With our tool, you need to enter the respective value for Deviation Angle, Sight Distance, Driver Sight Height & The Height of The Obstruction 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 Length of Curve?

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

Length of Curve = Radius of Curve*Deviation Angle

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