FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

Fx Copy

LaTeX Copy

The Length of Parabolic Curves is referred as horizontal distance between specific points on the curve. Check FAQs

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

L_Pc - Length of Parabolic Curves?G₂ - Grade at End of Curve?G_I - Grade at Beginning of Curve?R_g - Rate of Change of Grade?

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

With values

With units

Only example

Here is how the Length of Curve using Rate of change of Grade in Parabolic Curves equation looks like with Values.

Here is how the Length of Curve using Rate of change of Grade in Parabolic Curves equation looks like with Units.

Here is how the Length of Curve using Rate of change of Grade in Parabolic Curves equation looks like.

0.3564 = \frac{8 - (- 10)}{50.5}

0.3564m = \frac{8 - (- 10)}{50.5m⁻¹}

0.3564 = \frac{8 - (- 10)}{50.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Transportation Engineering » fx Length of Curve using Rate of change of Grade in Parabolic Curves

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

Follow our step by step solution on how to calculate Length of Curve using Rate of change of Grade in Parabolic Curves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L Pc = \frac{8 - (- 10)}{50.5m⁻¹}

Next Step Prepare to Evaluate

∴

L Pc = \frac{8 - (- 10)}{50.5}

Next Step Evaluate

∴

L Pc = 0.356435643564356m

LAST Step Rounding Answer

∴

L Pc = 0.3564m

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

Variables

Length of Parabolic Curves

The Length of Parabolic Curves is referred as horizontal distance between specific points on the curve.

Symbol: L_Pc

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Parabolic Curves

Grade at End of Curve

The Grade at End of Curve referred as the grade at one end of the parabolic curve.

Symbol: G₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Grade at End of 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 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 Distance from Point of Vertical Curve to Lowest Point on Sag Curve

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

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

Length of Curve using Rate of change of Grade in Parabolic Curves evaluator uses Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade to evaluate the Length of Parabolic Curves, The Length of Curve using Rate of change of Grade in Parabolic Curves formula is defined as the length of arc obtained in a parabolic curve in roads. Length of Parabolic Curves is denoted by L_Pc symbol.

How to evaluate Length of Curve using Rate of change of Grade in Parabolic Curves using this online evaluator? To use this online evaluator for Length of Curve using Rate of change of Grade in Parabolic Curves, enter Grade at End of Curve (G₂), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) and hit the calculate button.

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

What is the formula to find Length of Curve using Rate of change of Grade in Parabolic Curves?

The formula of Length of Curve using Rate of change of Grade in Parabolic Curves is expressed as Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade. Here is an example- 0.356436 = (8-(-10))/50.5.

How to calculate Length of Curve using Rate of change of Grade in Parabolic Curves?

With Grade at End of Curve (G₂), Grade at Beginning of Curve (G_I) & Rate of Change of Grade (R_g) we can find Length of Curve using Rate of change of Grade in Parabolic Curves using the formula - Length of Parabolic Curves = (Grade at End of Curve-(-Grade at Beginning of Curve))/Rate of Change of Grade.

Can the Length of Curve using Rate of change of Grade in Parabolic Curves be negative?

Yes, the Length of Curve using Rate of change of Grade in Parabolic Curves, measured in Length can be negative.

Which unit is used to measure Length of Curve using Rate of change of Grade in Parabolic Curves?

Length of Curve using Rate of change of Grade in Parabolic Curves is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Curve using Rate of change of Grade in Parabolic Curves can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

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

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

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

Other formulas in Parabolic Curves category

How to Evaluate Length of Curve using Rate of change of Grade in Parabolic Curves?

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

Variable Name