Length of Curve given Radius of Curve and Deviation Angle Calculator

✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve [R]			+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 Curve given Radius of Curve and Deviation Angle [L_s]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Vertical alignment Formula PDF PDF Image

Length of Curve given Radius of Curve and Deviation Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = Radius of Curve*Deviation Angle
L_s = R*N
This formula uses 3 Variables

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.
Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.
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

Radius of Curve: 455.7619 Meter --> 455.7619 Meter No Conversion Required
Deviation Angle: 0.88 Degree --> 0.0153588974175472 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = R*N --> 455.7619*0.0153588974175472

Evaluating ... ...

L_s = 7.00000026892641

STEP 3: Convert Result to Output's Unit

7.00000026892641 Meter --> No Conversion Required

FINAL ANSWER

7.00000026892641 ≈ 7 Meter <-- Length of Curve

(Calculation completed in 00.136 seconds)

You are here -

Home » Physics » Transportation System » Vertical alignment » Mechanical » Length of Summit Curve greater than Sight Distance » Length of Curve given Radius of Curve and Deviation Angle

Credits

Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

Rahul has created this Calculator and 50+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Length of Summit Curve greater than Sight Distance Calculators

Sight Distance given Length of Summit Curve

LaTeX 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

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

Radius of Curve given Length of Curve and Deviation Angle

LaTeX Go Radius of Curve = Length of Curve/Deviation Angle

Deviation Angle given Length of Curve and Radius of Curve

LaTeX Go Deviation Angle = Length of Curve/Radius of Curve

Length of Curve given Radius of Curve and Deviation Angle Formula

LaTeX Go

Length of Curve = Radius of Curve*Deviation Angle
L_s = R*N

Cubic Parabola and Radius Calculation

The radius in this context helps in understanding the curvature of the parabolic segment, with a shorter radius indicating a tighter curve and a larger radius signifying a more gradual curve. This relationship simplifies the task of determining the radius of a cubic parabola for a specific segment length, making it a valuable tool in fields like mathematics, engineering, and geometry.

How to Calculate Length of Curve given Radius of Curve and Deviation Angle?

Length of Curve given Radius of Curve and Deviation Angle calculator uses Length of Curve = Radius of Curve*Deviation Angle to calculate the Length of Curve, The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle. Length of Curve is denoted by L_s symbol.

How to calculate Length of Curve given Radius of Curve and Deviation Angle using this online calculator? To use this online calculator for Length of Curve given Radius of Curve and Deviation Angle, enter Radius of Curve (R) & Deviation Angle (N) and hit the calculate button. Here is how the Length of Curve given Radius of Curve and Deviation Angle calculation can be explained with given input values -> 0.03594 = 455.7619*0.0153588974175472.

FAQ

What is Length of Curve given Radius of Curve and Deviation Angle?

The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle and is represented as L_s = R*N or Length of Curve = Radius of Curve*Deviation Angle. Radius of Curve typically represents the minimum radius of the curve & Deviation Angle is the angle between the reference direction and the observed direction.

How to calculate Length of Curve given Radius of Curve and Deviation Angle?

The Length of Curve given Radius of Curve and Deviation Angle formula is defined as the product of the radius of the curve and the deviation angle is calculated using Length of Curve = Radius of Curve*Deviation Angle. To calculate Length of Curve given Radius of Curve and Deviation Angle, you need Radius of Curve (R) & Deviation Angle (N). With our tool, you need to enter the respective value for Radius of Curve & Deviation Angle 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 Radius of Curve & Deviation Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search