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Rate of Change of Grade in Parabolic and Transition Curves Formulas

The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance. And is denoted by Rg. Rate of Change of Grade is usually measured using the Per Meter for Linear Atomic Density. Note that the value of Rate of Change of Grade is always positive.

Formulas to find Rate of Change of Grade in Parabolic and Transition Curves

fxRate of Change of Grade given Distance from PVC to Lowest Point on Sag Curve​Go

Parabolic and Transition Curves formulas that make use of Rate of Change of Grade

fxLength of Curve using Rate of change of Grade in Parabolic Curves​Go
fxDistance from Point of Vertical Curve to Lowest Point on Sag Curve​Go
fxElevation of Lowest Point on Sag Curve​Go
fxElevation of PVC given Elevation of Lowest Point on Sag Curve​Go

List of variables in Parabolic and Transition Curves formulas

fx Grade at Beginning of Curve ​Go
fx Distance from PVC to Lowest Point on a Sag Curve ​Go

FAQ

What is the Rate of Change of Grade?
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 is usually measured using the Per Meter for Linear Atomic Density. Note that the value of Rate of Change of Grade is always positive.
Can the Rate of Change of Grade be negative?
No, the Rate of Change of Grade, measured in Linear Atomic Density cannot be negative.
What unit is used to measure Rate of Change of Grade?
Rate of Change of Grade is usually measured using the Per Meter[m⁻¹] for Linear Atomic Density. are the few other units in which Rate of Change of Grade can be measured.
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