Deviation Angle given Total Length of Valley Curve Calculator

✖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%
✖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%
✖Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.ⓘ Design Speed [v]			+10% -10%

✖Deviation Angle is the angle between the reference direction and the observed direction.ⓘ Deviation Angle given Total Length of Valley Curve [N]

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Deviation Angle given Total Length of Valley Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3
N = (L_s/2)^2*C_a/v^3
This formula uses 4 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 12.71876 Meter --> 12.71876 Meter No Conversion Required
Rate of Change of Acceleration: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required
Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (L_s/2)^2*C_a/v^3 --> (12.71876/2)^2*4.2/5^3

Evaluating ... ...

N = 1.35884158987584

STEP 3: Convert Result to Output's Unit

1.35884158987584 Radian -->77.855888126747 Degree (Check conversion here)

FINAL ANSWER

77.855888126747 ≈ 77.85589 Degree <-- Deviation Angle

(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 » Deviation Angle given Total Length of Valley Curve

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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

Deviation Angle given Total Length of Valley Curve Formula

LaTeX Go

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

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 Deviation Angle given Total Length of Valley Curve?

Deviation Angle given Total Length of Valley Curve calculator uses Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3 to calculate the Deviation Angle, The Deviation Angle given Total Length of Valley Curve formula is defined as one-fourth of the square of the length of the curve divided by the rate of change of acceleration, all divided by the cube of the design speed. Deviation Angle is denoted by N symbol.

How to calculate Deviation Angle given Total Length of Valley Curve using this online calculator? To use this online calculator for Deviation Angle given Total Length of Valley Curve, enter Length of Curve (L_s), Rate of Change of Acceleration (C_a) & Design Speed (v) and hit the calculate button. Here is how the Deviation Angle given Total Length of Valley Curve calculation can be explained with given input values -> 4460.814 = (12.71876/2)^2*4.2/5^3.

FAQ

What is Deviation Angle given Total Length of Valley Curve?

The Deviation Angle given Total Length of Valley Curve formula is defined as one-fourth of the square of the length of the curve divided by the rate of change of acceleration, all divided by the cube of the design speed and is represented as N = (L_s/2)^2*C_a/v^3 or Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3. Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave, Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time & Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.

How to calculate Deviation Angle given Total Length of Valley Curve?

The Deviation Angle given Total Length of Valley Curve formula is defined as one-fourth of the square of the length of the curve divided by the rate of change of acceleration, all divided by the cube of the design speed is calculated using Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3. To calculate Deviation Angle given Total Length of Valley Curve, you need Length of Curve (L_s), Rate of Change of Acceleration (C_a) & Design Speed (v). With our tool, you need to enter the respective value for Length of Curve, Rate of Change of Acceleration & Design Speed 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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