Deviation Angle given Length of Summit Curve Less than Sight Distance Calculator

✖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%
✖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%

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle given Length of Summit Curve Less than Sight Distance [N]

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Deviation Angle given Length of Summit Curve Less than Sight Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Driver Sight Height: 32.5 Meter --> 32.5 Meter No Conversion Required
The Height of The Obstruction: 55 Meter --> 55 Meter No Conversion Required
Sight Distance: 186.3277 Meter --> 186.3277 Meter No Conversion Required
Length of Curve: 94.72078 Meter --> 94.72078 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = ((sqrt(2*h₁)+sqrt(2*h₂))^2)/(2*S-L_s) --> ((sqrt(2*32.5)+sqrt(2*55))^2)/(2*186.3277-94.72078)

Evaluating ... ...

N = 1.23811616290507

STEP 3: Convert Result to Output's Unit

1.23811616290507 Radian -->70.9388306814055 Degree (Check conversion here)

FINAL ANSWER

70.9388306814055 ≈ 70.93883 Degree <-- Deviation Angle

(Calculation completed in 00.020 seconds)

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< Length of Summit Curve Less than Sight Distance Calculators

Sight Distance More than Length of Summit Curve

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

Deviation Angle given Length of Summit Curve Less than Sight Distance

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

Length of Summit Curve Less than Sight Distance

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

Deviation Angle given Length of Summit Curve Less than Sight Distance Formula

LaTeX Go

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

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 Deviation Angle given Length of Summit Curve Less than Sight Distance?

Deviation Angle given Length of Summit Curve Less than Sight Distance calculator uses Deviation Angle = ((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/(2*Sight Distance-Length of Curve) to calculate the Deviation Angle, The Deviation Angle given Length of Summit Curve Less than Sight Distance formula is defined as 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 length of summit curve. Deviation Angle is denoted by N symbol.

How to calculate Deviation Angle given Length of Summit Curve Less than Sight Distance using this online calculator? To use this online calculator for Deviation Angle given Length of Summit Curve Less than Sight Distance, enter Driver Sight Height (h₁), The Height of The Obstruction (h₂), Sight Distance (S) & Length of Curve (L_s) and hit the calculate button. Here is how the Deviation Angle given Length of Summit Curve Less than Sight Distance calculation can be explained with given input values -> 3089.423 = ((sqrt(2*32.5)+sqrt(2*55))^2)/(2*186.3277-94.72078).

FAQ

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

The Deviation Angle given Length of Summit Curve Less than Sight Distance formula is defined as 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 length of summit curve and is represented as N = ((sqrt(2*h₁)+sqrt(2*h₂))^2)/(2*S-L_s) or Deviation Angle = ((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/(2*Sight Distance-Length of Curve). 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 & 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 Deviation Angle given Length of Summit Curve Less than Sight Distance?

The Deviation Angle given Length of Summit Curve Less than Sight Distance formula is defined as 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 length of summit curve is calculated using Deviation Angle = ((sqrt(2*Driver Sight Height)+sqrt(2*The Height of The Obstruction))^2)/(2*Sight Distance-Length of Curve). To calculate Deviation Angle given Length of Summit Curve Less than Sight Distance, you need Driver Sight Height (h₁), The Height of The Obstruction (h₂), Sight Distance (S) & Length of Curve (L_s). With our tool, you need to enter the respective value for Driver Sight Height, The Height of The Obstruction, Sight Distance & 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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