Length of Summit Curve Less than Sight Distance Calculator

⤿

Vertical alignment

Design of Transition Curves and Setback Distances

Design of Superelevation

Marshall Mix Design

Pavement Materials

Sight Distance

⤿

Length of Summit Curve Less than Sight Distance

Length of Summit Curve greater than Sight Distance

Length of Summit Curve with Grade Angles

Length of Valley Curve

✖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%
✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+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 Less than Sight Distance [L_s]

⎘ Copy

👎

Formula

✖

Length of Summit Curve Less than Sight Distance

Formula

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

Example

`"2.235385m"=2*"3.56m"-((sqrt(2*"0.75m")+sqrt(2*"0.36m"))^2)/"0.88rad"`

Calculator

LaTeX

Reset

👍

Download Vertical alignment Formula PDF PDF Image

Length of Summit Curve Less than Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

L_s = 2.23538526240608

STEP 3: Convert Result to Output's Unit

2.23538526240608 Meter --> No Conversion Required

FINAL ANSWER

2.23538526240608 ≈ 2.235385 Meter <-- Length of Curve

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Transportation System » Vertical alignment » Length of Summit Curve Less than Sight Distance » Length of Summit Curve Less than Sight Distance

Credits

Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

Rahul has created this Calculator and 50+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 3 Length of Summit Curve Less than Sight Distance Calculators

Deviation Angle given Length of Summit Curve Less than Sight Distance

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

Length of Summit Curve Less than Sight Distance

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

Sight Distance More than Length of Summit Curve

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

Length of Summit Curve Less than Sight Distance Formula

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

Length of Summit Curve Less than Sight Distance

Length of Summit Curve Less than Sight Distance refers to a situation where the length of a summit curve in road design is shorter than the required sight distance, potentially impacting driver visibility and safety

How to Calculate Length of Summit Curve Less than Sight Distance?

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

How to calculate Length of Summit Curve Less than Sight Distance using this online calculator? To use this online calculator for Length of Summit Curve Less than Sight Distance, enter Sight Distance (S), Driver Sight Height (h₁), The Height of The Obstruction (h₂) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Summit Curve Less than Sight Distance calculation can be explained with given input values -> -5.781784 = 2*3.56-((sqrt(2*0.75)+sqrt(2*0.36))^2)/0.88.

FAQ

What is Length of Summit Curve Less than Sight Distance?

The Length of Summit Curve Less than Sight Distance formula is defined as twice the sight distance minus the square of the sum of the square roots of two times the driver's eye height and two times the obstruction height, all divided by the deviation angle and is represented as L_s = 2*S-((sqrt(2*h₁)+sqrt(2*h₂))^2)/N or Length of Curve = 2*Sight Distance-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Deviation Angle. 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 & Deviation Angle is the angle between the reference direction and the observed direction.

How to calculate Length of Summit Curve Less than Sight Distance?

The Length of Summit Curve Less than Sight Distance formula is defined as twice the sight distance minus the square of the sum of the square roots of two times the driver's eye height and two times the obstruction height, all divided by the deviation angle is calculated using Length of Curve = 2*Sight Distance-((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/Deviation Angle. To calculate Length of Summit Curve Less than Sight Distance, you need Sight Distance (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 Sight Distance, 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.

Home

FREE PDFs

🔍 Search