Sight Distance given Length of Summit Curve Calculator

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Vertical alignment

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Design of Superelevation

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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%
✖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 given Length of Summit Curve [S]

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Formula

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Sight Distance given Length of Summit Curve

Formula

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

Example

`"5.847419m"=sqrt((2*"7m"*(sqrt("0.75m")+sqrt("0.36m"))^2)/"0.88rad")`

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Sight Distance given Length of Summit Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Deviation Angle - (Measured in Radian) - Deviation Angle is the angle between the reference direction and the observed direction.

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
Deviation Angle: 0.88 Radian --> 0.88 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = sqrt((2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/N) --> sqrt((2*7*(sqrt(0.75)+sqrt(0.36))^2)/0.88)

Evaluating ... ...

S = 5.84741850419118

STEP 3: Convert Result to Output's Unit

5.84741850419118 Meter --> No Conversion Required

FINAL ANSWER

5.84741850419118 ≈ 5.847419 Meter <-- Sight Distance

(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

Sight Distance given Length of Summit Curve Formula

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

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 Sight Distance given Length of Summit Curve?

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

How to calculate Sight Distance given Length of Summit Curve using this online calculator? To use this online calculator for Sight Distance given Length of Summit Curve, enter Length of Curve (L_s), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Deviation Angle (N) and hit the calculate button. Here is how the Sight Distance given Length of Summit Curve calculation can be explained with given input values -> 9.503288 = sqrt((2*7*(sqrt(0.75)+sqrt(0.36))^2)/0.88).

FAQ

What is Sight Distance given Length of Summit Curve?

The Sight Distance given Length of Summit Curve formula is defined as the square root of 2 times the product of the curve length and the square of the sum of driver's eye height and obstruction height, divided by the deviation angle and is represented as S = sqrt((2*L_s*(sqrt(h₁)+sqrt(h₂))^2)/N) or Sight Distance = sqrt((2*Length of Curve*(sqrt(Driver Sight Height)+sqrt(The Height of The Obstruction))^2)/Deviation Angle). 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 & Deviation Angle is the angle between the reference direction and the observed direction.

How to calculate Sight Distance given Length of Summit Curve?

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