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

✖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%
✖Distance from PVC to lowest point on a sag curve can be described as the distance in between the beginning of the grade and lowest point on a sag curve.ⓘ Distance from PVC to lowest point on a sag curve [X_s]			+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 given Distance from PVC to Lowest Point on Sag Curve [R_g]

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Formula

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

Formula

`"R"_{"g"} = -("G"_{"I"}/"X"_{"s"})`

Example

`"50m⁻¹"=-("10"/"-0.2m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve)
R_g = -(G_I/X_s)
This formula uses 3 Variables

Variables Used

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.
Grade at beginning of Curve - Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve.
Distance from PVC to lowest point on a sag curve - (Measured in Meter) - Distance from PVC to lowest point on a sag curve can be described as the distance in between the beginning of the grade and lowest point on a sag curve.

STEP 1: Convert Input(s) to Base Unit

Grade at beginning of Curve: 10 --> No Conversion Required
Distance from PVC to lowest point on a sag curve: -0.2 Meter --> -0.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_g = -(G_I/X_s) --> -(10/(-0.2))

Evaluating ... ...

R_g = 50

STEP 3: Convert Result to Output's Unit

50 Per Meter --> No Conversion Required

FINAL ANSWER

50 Per Meter <-- Rate of Change of Grade

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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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)

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

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

What is meant by PVC?

PVC also known as the point of vertical curvature in which the straight line passing through the beginning of the parabolic curve.

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

Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve calculator uses Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve) to calculate the Rate of Change of Grade, Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve is defined as change in grade from one end of curve to another end of parabolic curve. Rate of Change of Grade is denoted by R_g symbol.

How to calculate Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve using this online calculator? To use this online calculator for Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve, enter Grade at beginning of Curve (G_I) & Distance from PVC to lowest point on a sag curve (X_s) and hit the calculate button. Here is how the Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve calculation can be explained with given input values -> 50 = -(10/(-0.2)).

FAQ

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

Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve is defined as change in grade from one end of curve to another end of parabolic curve and is represented as R_g = -(G_I/X_s) or Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve). Grade at beginning of Curve can be described as the grade at the beginning of the parabolic curve & Distance from PVC to lowest point on a sag curve can be described as the distance in between the beginning of the grade and lowest point on a sag curve.

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

Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve is defined as change in grade from one end of curve to another end of parabolic curve is calculated using Rate of Change of Grade = -(Grade at beginning of Curve/Distance from PVC to lowest point on a sag curve). To calculate Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve, you need Grade at beginning of Curve (G_I) & Distance from PVC to lowest point on a sag curve (X_s). With our tool, you need to enter the respective value for Grade at beginning of Curve & Distance from PVC to lowest point on a sag 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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