Total Length of Valley Curve Calculator

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle [N]			+10% -10%
✖Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.ⓘ Design Speed [v]			+10% -10%
✖Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.ⓘ Rate of Change of Acceleration [C_a]			+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.ⓘ Total Length of Valley Curve [L_s]

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Total Length of Valley Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration)
L_s = 2*sqrt((N*v^3)/C_a)
This formula uses 1 Functions, 4 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.
Design Speed - (Measured in Meter per Second) - Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.
Rate of Change of Acceleration - (Measured in Meter per Second) - Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

STEP 1: Convert Input(s) to Base Unit

Deviation Angle: 77.85589 Degree --> 1.35884162257027 Radian (Check conversion here)
Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Rate of Change of Acceleration: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = 2*sqrt((N*v^3)/C_a) --> 2*sqrt((1.35884162257027*5^3)/4.2)

Evaluating ... ...

L_s = 12.71876015301

STEP 3: Convert Result to Output's Unit

12.71876015301 Meter --> No Conversion Required

FINAL ANSWER

12.71876015301 ≈ 12.71876 Meter <-- Length of Curve

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Vertical alignment » Length of Valley Curve » Mechanical » Design of Valley Curve » Total Length of Valley Curve

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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National Institute Of Technology (NIT), Hamirpur

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< Design of Valley Curve Calculators

Design Speed given Length of Valley Curve

LaTeX Go Design Speed = (Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3)

Radius of Curve given Length of Valley Curve

LaTeX Go Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration)

Rate of Change of Acceleration

LaTeX Go Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve)

Length of Valley Curve given Time and Design Speed

LaTeX Go Length of Curve = Design Speed*Time

Total Length of Valley Curve Formula

LaTeX Go

Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration)
L_s = 2*sqrt((N*v^3)/C_a)

Difference Between Length of Valley Curve and Total Length of Valley Curve

"Length of Valley Curve" refers to the curve segment itself, while "Total Length of Valley Curve" includes the approach and departure sections, providing a comprehensive view of the entire transition.

How to Calculate Total Length of Valley Curve?

Total Length of Valley Curve calculator uses Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration) to calculate the Length of Curve, The Total Length of Valley Curve formula is defined as twice the square root of the product of deviation angle, design speed cubed, and the inverse of the rate of change of acceleration. Length of Curve is denoted by L_s symbol.

How to calculate Total Length of Valley Curve using this online calculator? To use this online calculator for Total Length of Valley Curve, enter Deviation Angle (N), Design Speed (v) & Rate of Change of Acceleration (C_a) and hit the calculate button. Here is how the Total Length of Valley Curve calculation can be explained with given input values -> 1.352198 = 2*sqrt((1.35884162257027*5^3)/4.2).

FAQ

What is Total Length of Valley Curve?

The Total Length of Valley Curve formula is defined as twice the square root of the product of deviation angle, design speed cubed, and the inverse of the rate of change of acceleration and is represented as L_s = 2*sqrt((N*v^3)/C_a) or Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration). Deviation Angle is the angle between the reference direction and the observed direction, Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway & Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

How to calculate Total Length of Valley Curve?

The Total Length of Valley Curve formula is defined as twice the square root of the product of deviation angle, design speed cubed, and the inverse of the rate of change of acceleration is calculated using Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration). To calculate Total Length of Valley Curve, you need Deviation Angle (N), Design Speed (v) & Rate of Change of Acceleration (C_a). With our tool, you need to enter the respective value for Deviation Angle, Design Speed & Rate of Change of Acceleration 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, Design Speed & Rate of Change of Acceleration. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Curve = Design Speed*Time
Length of Curve = (Design Speed^3)/(Radius of Curve*Rate of Change of Acceleration)

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