✖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 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 [R_g]			+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 Point of Vertical Curve to Lowest Point on Sag Curve [X_s]

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Formula

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

Formula

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

Example

`"-0.19802m"=-("10"/"50.5m⁻¹")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade)
X_s = -(G_I/R_g)
This formula uses 3 Variables

Variables Used

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.
Grade at Beginning of Curve - The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve.
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.

STEP 1: Convert Input(s) to Base Unit

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

X_s = -(G_I/R_g) --> -(10/50.5)

Evaluating ... ...

X_s = -0.198019801980198

STEP 3: Convert Result to Output's Unit

-0.198019801980198 Meter --> No Conversion Required

FINAL ANSWER

-0.198019801980198 ≈ -0.19802 Meter <-- Distance from PVC to Lowest Point on a Sag Curve

(Calculation completed in 00.004 seconds)

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< 7 Parabolic Curves Calculators

Elevation of PVC given Elevation of Lowest Point on Sag Curve

Go Elevation of Point of Vertical Curve = 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 Point of Vertical Curve-((Grade at Beginning of Curve^2)/(2*Rate of Change of Grade))

Elevation of Point of Vertical Curvature

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

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

Go Length of Parabolic Curves = (Grade at End of 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

Go Rate of Change of Grade = -(Grade at Beginning of Curve/Distance from PVC to Lowest Point on a Sag Curve)

Distance from Point of Vertical Curve 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)

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

Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade)
X_s = -(G_I/R_g)

What is Lowest Point on a Sag Curve?

The Lowest Point on a Sag Curve is the point at which the maximum sag (bending) on a parabolic curve.

What is the Point of Curvature?

Point of Curvature can be defined as the point at which the vertical line intersects at the beginning point of the parabolic curve.

How to Calculate Distance from Point of Vertical Curve to Lowest Point on Sag Curve?

Distance from Point of Vertical Curve to Lowest Point on Sag Curve calculator uses Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade) to calculate the Distance from PVC to Lowest Point on a Sag Curve, The Distance from Point of Vertical Curve to Lowest Point on Sag Curve formula is defined as the distance between beginning of the curve and lowest point on a sag curve. Distance from PVC to Lowest Point on a Sag Curve is denoted by X_s symbol.

How to calculate Distance from Point of Vertical Curve to Lowest Point on Sag Curve using this online calculator? To use this online calculator for Distance from Point of Vertical Curve to Lowest Point on Sag Curve, enter Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) and hit the calculate button. Here is how the Distance from Point of Vertical Curve to Lowest Point on Sag Curve calculation can be explained with given input values -> -0.19802 = -(10/50.5).

FAQ

What is Distance from Point of Vertical Curve to Lowest Point on Sag Curve?

The Distance from Point of Vertical Curve to Lowest Point on Sag Curve formula is defined as the distance between beginning of the curve and lowest point on a sag curve and is represented as X_s = -(G_I/R_g) or Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade). The Grade at Beginning of Curve referred as the grade at the beginning of the parabolic curve & The Rate of Change of Grade is referred as how quickly the grade (slope) of a roadway change over a specific distance.

How to calculate Distance from Point of Vertical Curve to Lowest Point on Sag Curve?

The Distance from Point of Vertical Curve to Lowest Point on Sag Curve formula is defined as the distance between beginning of the curve and lowest point on a sag curve is calculated using Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade). To calculate Distance from Point of Vertical Curve to Lowest Point on Sag Curve, you need 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 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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