Length of Curve using Rate of change of Grade in Parabolic Curves Calculator

✖Grade at end of curve can be described as the grade at one end of the parabolic curve.ⓘ Grade at end of curve [G₂]			+10% -10%
✖Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.ⓘ Grade at beginning of Curve [G_I]			+10% -10%
✖Rate of Change of Grade is a rate that describes how one grade changes in relation to another.ⓘ Rate of Change of Grade [R_g]			+10% -10%

✖Length of Parabolic Curves is defined as the arc length in a parabolic curves.ⓘ Length of Curve using Rate of change of Grade in Parabolic Curves [L_Pc]

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Formula

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Length of Curve using Rate of change of Grade in Parabolic Curves

Formula

`"L"_{"Pc"} = ("G"_{"2"}-(-"G"_{"I"}))/"R"_{"g"}`

Example

`"0.356436m"= ("8"-(-"10"))/"50.5m⁻¹"`

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Length of Curve using Rate of change of Grade in Parabolic Curves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade
L_Pc = (G₂-(-G_I))/R_g
This formula uses 4 Variables

Variables Used

Length of Parabolic Curves - (Measured in Meter) - Length of Parabolic Curves is defined as the arc length in a parabolic curves.
Grade at end of curve - Grade at end of curve can be described as the grade at one end of the parabolic curve.
Grade at beginning of Curve - Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.
Rate of Change of Grade - (Measured in Per Meter) - Rate of Change of Grade is a rate that describes how one grade changes in relation to another.

STEP 1: Convert Input(s) to Base Unit

Grade at end of curve: 8 --> No Conversion Required
Grade at beginning of Curve: 10 --> No Conversion Required
Rate of Change of Grade: 50.5 Per Meter --> 50.5 Per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Pc = (G₂-(-G_I))/R_g --> (8-(-10))/50.5

Evaluating ... ...

L_Pc = 0.356435643564356

STEP 3: Convert Result to Output's Unit

0.356435643564356 Meter --> No Conversion Required

FINAL ANSWER

0.356435643564356 ≈ 0.356436 Meter <-- Length of Parabolic Curves

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< 7 Parabolic Curves Calculators

Elevation of PVC given Elevation of Lowest Point on Sag Curve

Go Elevation of PVC = Elevation of Lowest Point on a Sag Curve+((Grade at beginning of Curve^2)/(2*Rate of Change of Grade))

Elevation of Lowest Point on Sag Curve

Go Elevation of Lowest Point on a Sag Curve = Elevation of PVC-((Grade at beginning of Curve^2)/(2*Rate of Change of Grade))

Length of Curve using Rate of change of Grade in Parabolic Curves

Go Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade

Elevation of Point of Vertical Curvature

Go Elevation of PVC = Elevation of PVI-(1/2)*(Length of Parabolic Curves*(-Grade at beginning of Curve))

Elevation of Point of Vertical Intersection

Go Elevation of PVI = Elevation of PVC+(1/2)*(Length of Curve*Grade at beginning of Curve)

Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve

Go Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve)

Distance from PVC to Lowest Point on Sag Curve

Go Distance from PVC to lowest point on a sag curve = -(Grade at beginning of Curve/Rate of Change of Grade)

Length of Curve using Rate of change of Grade in Parabolic Curves Formula

Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade
L_Pc = (G₂-(-G_I))/R_g

What is Rate of Change of Grade ?

Rate of change of grade can be denoted as the rate at which change in grade of one end of the curve to another end of the curve

How to Calculate Length of Curve using Rate of change of Grade in Parabolic Curves?

Length of Curve using Rate of change of Grade in Parabolic Curves calculator uses Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade to calculate the Length of Parabolic Curves, The Length of curve using rate of change of grade in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads. Length of Parabolic Curves is denoted by L_Pc symbol.

How to calculate Length of Curve using Rate of change of Grade in Parabolic Curves using this online calculator? To use this online calculator for Length of Curve using Rate of change of Grade in Parabolic Curves, enter Grade at end of curve (G₂), Grade at beginning of Curve (G_I) & Rate of Change of Grade (R_g) and hit the calculate button. Here is how the Length of Curve using Rate of change of Grade in Parabolic Curves calculation can be explained with given input values -> 0.356436 = (8-(-10))/50.5.

FAQ

What is Length of Curve using Rate of change of Grade in Parabolic Curves?

The Length of curve using rate of change of grade in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads and is represented as L_Pc = (G₂-(-G_I))/R_g or Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade. Grade at end of curve can be described as the grade at one end of the parabolic curve, Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve & Rate of Change of Grade is a rate that describes how one grade changes in relation to another.

How to calculate Length of Curve using Rate of change of Grade in Parabolic Curves?

The Length of curve using rate of change of grade in parabolic curves formula is defined as the length of arc obtained in a parabolic curve in roads is calculated using Length of Parabolic Curves = (Grade at end of curve-(-Grade at beginning of Curve))/Rate of Change of Grade. To calculate Length of Curve using Rate of change of Grade in Parabolic Curves, you need Grade at end of curve (G₂), Grade at beginning of Curve (G_I) & Rate of Change of Grade (R_g). With our tool, you need to enter the respective value for Grade at end of curve, Grade at beginning of Curve & Rate of Change of Grade 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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