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

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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. Check FAQs

X s = - (\frac{G I}{R g})

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

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

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Here is how the Distance from Point of Vertical Curve to Lowest Point on Sag Curve equation looks like with Values.

Here is how the Distance from Point of Vertical Curve to Lowest Point on Sag Curve equation looks like with Units.

Here is how the Distance from Point of Vertical Curve to Lowest Point on Sag Curve equation looks like.

-0.198 = - (\frac{10}{50.5})

-0.198m = - (\frac{10}{50.5m⁻¹})

-0.198 = - (\frac{10}{50.5})

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

Follow our step by step solution on how to calculate Distance from Point of Vertical Curve to Lowest Point on Sag Curve?

FIRST Step Consider the formula

X s = - (\frac{G I}{R g})

Next Step Substitute values of Variables

∴

X s = - (\frac{10}{50.5m⁻¹})

Next Step Prepare to Evaluate

∴

X s = - (\frac{10}{50.5})

Next Step Evaluate

∴

X s = -0.198019801980198m

LAST Step Rounding Answer

∴

X s = -0.198m

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

Variables

Distance from PVC to Lowest Point on a Sag 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.

Symbol: X_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from PVC to 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.

Symbol: G_I

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Grade at Beginning of Curve

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.

Symbol: R_g

Measurement: Linear Atomic DensityUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Rate of Change of Grade

Other formulas in Parabolic Curves category

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

L Pc = \frac{G 2 - (- G I)}{R g}

Go Elevation of Point of Vertical Curvature

E 0 = V - ((\frac{1}{2}) \cdot (L c \cdot G I))

Go Elevation of Point of Vertical Intersection

V = E 0 + (\frac{1}{2}) \cdot (L c \cdot G I)

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

R g = - (\frac{G I}{X s})

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

Distance from Point of Vertical Curve to Lowest Point on Sag Curve evaluator uses Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade) to evaluate 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 evaluate Distance from Point of Vertical Curve to Lowest Point on Sag Curve using this online evaluator? To use this online evaluator 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.

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

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

The formula of Distance from Point of Vertical Curve to Lowest Point on Sag Curve is expressed as Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade). Here is an example- -0.19802 = -(10/50.5).

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

With Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) we can find Distance from Point of Vertical Curve to Lowest Point on Sag Curve using the formula - Distance from PVC to Lowest Point on a Sag Curve = -(Grade at Beginning of Curve/Rate of Change of Grade).

Can the Distance from Point of Vertical Curve to Lowest Point on Sag Curve be negative?

Yes, the Distance from Point of Vertical Curve to Lowest Point on Sag Curve, measured in Length can be negative.

Which unit is used to measure Distance from Point of Vertical Curve to Lowest Point on Sag Curve?

Distance from Point of Vertical Curve to Lowest Point on Sag Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance from Point of Vertical Curve to Lowest Point on Sag Curve can be measured.

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