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Pavement Width given Cant Formula

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Pavement width is the breadth of the highway pavement. Check FAQs

B = h \cdot \frac{R \cdot g}{V^{2}}

B - Pavement Width?h - Cant?R - Radius of Curve?g - Acceleration due to Gravity?V - Vehicle Velocity?

Pavement Width given Cant Example

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Here is how the Pavement Width given Cant equation looks like with Values.

Here is how the Pavement Width given Cant equation looks like with Units.

Here is how the Pavement Width given Cant equation looks like.

6.9993 = 91.42 \cdot \frac{50 \cdot 9.8}{80^{2}}

6.9993m = 91.42cm \cdot \frac{50m \cdot 9.8m/s²}{{80km/h}^{2}}

6.9993 = 91.42 \cdot \frac{50 \cdot 9.8}{80^{2}}

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Pavement Width given Cant Solution

Follow our step by step solution on how to calculate Pavement Width given Cant?

FIRST Step Consider the formula

B = h \cdot \frac{R \cdot g}{V^{2}}

Next Step Substitute values of Variables

∴

B = 91.42cm \cdot \frac{50m \cdot 9.8m/s²}{{80km/h}^{2}}

Next Step Convert Units

∴

B = 91.42cm \cdot \frac{5000cm \cdot 9.8m/s²}{{80km/h}^{2}}

Next Step Prepare to Evaluate

∴

B = 91.42 \cdot \frac{5000 \cdot 9.8}{80^{2}}

Next Step Evaluate

∴

B = 6.99934375m

LAST Step Rounding Answer

∴

B = 6.9993m

Pavement Width given Cant Formula Elements

Variables

Pavement Width

Pavement width is the breadth of the highway pavement.

Symbol: B

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Pavement Width

Cant

Cant of a railway track or camber of a road (also referred to as super elevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges.

Symbol: h

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Cant

Radius of Curve

Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration due to Gravity

Vehicle Velocity

Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.

Symbol: V

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Vehicle Velocity

Other formulas in Superelevation category

Go Railway Cant

h = G \cdot \frac{V^{2}}{1.27 \cdot R}

Go Gauge Width of Track given Cant

G = \frac{h \cdot 1.27 \cdot R}{V^{2}}

Go Cant given Width of Pavement

h = B \cdot \frac{V^{2}}{R \cdot g}

Go Radius of Curve given Cant for Road

R = B \cdot \frac{V^{2}}{h \cdot g}

How to Evaluate Pavement Width given Cant?

Pavement Width given Cant evaluator uses Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2 to evaluate the Pavement Width, Pavement Width given Cant is width of road pavement if super elevation of road is already decided. Pavement Width is denoted by B symbol.

How to evaluate Pavement Width given Cant using this online evaluator? To use this online evaluator for Pavement Width given Cant, enter Cant (h), Radius of Curve (R), Acceleration due to Gravity (g) & Vehicle Velocity (V) and hit the calculate button.

FAQs on Pavement Width given Cant

What is the formula to find Pavement Width given Cant?

The formula of Pavement Width given Cant is expressed as Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2. Here is an example- 6.999344 = 0.9142*(50*9.8)/22.2222222222222^2.

How to calculate Pavement Width given Cant?

With Cant (h), Radius of Curve (R), Acceleration due to Gravity (g) & Vehicle Velocity (V) we can find Pavement Width given Cant using the formula - Pavement Width = Cant*(Radius of Curve*Acceleration due to Gravity)/Vehicle Velocity^2.

Can the Pavement Width given Cant be negative?

Yes, the Pavement Width given Cant, measured in Length can be negative.

Which unit is used to measure Pavement Width given Cant?

Pavement Width given Cant is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pavement Width given Cant can be measured.

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Pavement Width given Cant Formula

Pavement Width given Cant Example

Pavement Width given Cant Solution

Pavement Width given Cant Formula Elements

Other formulas in Superelevation category

How to Evaluate Pavement Width given Cant?

FAQs on Pavement Width given Cant

Variable Name