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

✖The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.ⓘ Grade at Beginning of Curve [G_I]			+10% -10%
✖The Distance from PVC to Lowest Point on a Sag Curve is referred as 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%

✖The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.ⓘ Rate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve [R_g]

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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) - The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.
Grade at Beginning of Curve - The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.
Distance from PVC to Lowest Point on a Sag Curve - (Measured in Meter) - The Distance from PVC to Lowest Point on a Sag Curve is referred as 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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National Institute of Technology (NIT), Warangal

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< Parabolic Curves Calculators

Elevation of Point of Vertical Curvature

LaTeX Go Elevation of Point of Vertical Curve = Elevation of Point of Vertical Intersection-((1/2)*(Length of Curve*Grade at Beginning of Curve))

Elevation of Point of Vertical Intersection

LaTeX Go Elevation of Point of Vertical Intersection = Elevation of Point of Vertical Curve+(1/2)*(Length of Curve*Grade at Beginning of Curve)

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

LaTeX Go Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade

Distance from Point of Vertical Curve to Lowest Point on Sag Curve

LaTeX 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

LaTeX Go

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). The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve & The Distance from PVC to Lowest Point on a Sag Curve is referred as 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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