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Total Extra Widening required on Horizontal Curves Formula

GoTotal Extra Widening required on Horizontal Curves wrt Wm and Wps Formula

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Total Extra Widening Required on Horizontal Curves is defined as the sum of mechanical widening and psychological widening of roads on horizontal curves. Check FAQs

W e = (\frac{n \cdot (l^{2})}{2 \cdot R t}) + (\frac{v}{9.5 \cdot ({R t}^{0.5})})

W_e - Total Extra Widening Required on Horizontal Curves?n - Number of Traffic Lanes?l - Length of Wheel Base as per IRC?R_t - Radius of Curve?v - Speed of Vehicle?

Total Extra Widening required on Horizontal Curves Example

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Here is how the Total Extra Widening required on Horizontal Curves equation looks like with Values.

Here is how the Total Extra Widening required on Horizontal Curves equation looks like with Units.

Here is how the Total Extra Widening required on Horizontal Curves equation looks like.

0.8439 = (\frac{9 \cdot (6^{2})}{2 \cdot 300}) + (\frac{50}{9.5 \cdot (300^{0.5})})

0.8439m = (\frac{9 \cdot ({6m}^{2})}{2 \cdot 300m}) + (\frac{50km/h}{9.5 \cdot ({300m}^{0.5})})

0.8439 = (\frac{9 \cdot (6^{2})}{2 \cdot 300}) + (\frac{50}{9.5 \cdot (300^{0.5})})

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Total Extra Widening required on Horizontal Curves Solution

Follow our step by step solution on how to calculate Total Extra Widening required on Horizontal Curves?

FIRST Step Consider the formula

W e = (\frac{n \cdot (l^{2})}{2 \cdot R t}) + (\frac{v}{9.5 \cdot ({R t}^{0.5})})

Next Step Substitute values of Variables

∴

W e = (\frac{9 \cdot ({6m}^{2})}{2 \cdot 300m}) + (\frac{50km/h}{9.5 \cdot ({300m}^{0.5})})

Next Step Prepare to Evaluate

∴

W e = (\frac{9 \cdot (6^{2})}{2 \cdot 300}) + (\frac{50}{9.5 \cdot (300^{0.5})})

Next Step Evaluate

∴

W e = 0.843868562731382m

LAST Step Rounding Answer

∴

W e = 0.8439m

Total Extra Widening required on Horizontal Curves Formula Elements

Variables

Total Extra Widening Required on Horizontal Curves

Total Extra Widening Required on Horizontal Curves is defined as the sum of mechanical widening and psychological widening of roads on horizontal curves.

Symbol: W_e

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Extra Widening Required on Horizontal Curves

Number of Traffic Lanes

Number of Traffic Lanes is defined as the total number of traffic lanes present on the highways.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Traffic Lanes

Length of Wheel Base as per IRC

Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 2.

Formulas to find Length of Wheel Base as per IRC

Radius of Curve

The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.

Symbol: R_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curve

Speed of Vehicle

Speed of Vehicle is defined as the instantaneous speed of an individual vehicle as it passes a speed Measurement point or as measured in a speedometer.

Symbol: v

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Speed of Vehicle

Other Formulas to find Total Extra Widening Required on Horizontal Curves

Go Total Extra Widening required on Horizontal Curves wrt Wm and Wps

W e = (W ps + W m)

Other formulas in Extra Widening on Horizontal Curves category

Go Psychological Widening on Horizontal Curves

W ps = \frac{v}{9.5 \cdot {(R t)}^{0.5}}

How to Evaluate Total Extra Widening required on Horizontal Curves?

Total Extra Widening required on Horizontal Curves evaluator uses Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))) to evaluate the Total Extra Widening Required on Horizontal Curves, Total Extra Widening required on Horizontal Curves formula is defined as the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment. Total Extra Widening Required on Horizontal Curves is denoted by W_e symbol.

How to evaluate Total Extra Widening required on Horizontal Curves using this online evaluator? To use this online evaluator for Total Extra Widening required on Horizontal Curves, enter Number of Traffic Lanes (n), Length of Wheel Base as per IRC (l), Radius of Curve (R_t) & Speed of Vehicle (v) and hit the calculate button.

FAQs on Total Extra Widening required on Horizontal Curves

What is the formula to find Total Extra Widening required on Horizontal Curves?

The formula of Total Extra Widening required on Horizontal Curves is expressed as Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))). Here is an example- 0.423869 = ((9*(6^2))/(2*300))+(13.8888888888889/(9.5*(300^0.5))).

How to calculate Total Extra Widening required on Horizontal Curves?

With Number of Traffic Lanes (n), Length of Wheel Base as per IRC (l), Radius of Curve (R_t) & Speed of Vehicle (v) we can find Total Extra Widening required on Horizontal Curves using the formula - Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))).

What are the other ways to Calculate Total Extra Widening Required on Horizontal Curves?

Here are the different ways to Calculate Total Extra Widening Required on Horizontal Curves-

Total Extra Widening Required on Horizontal Curves=(Psychological Widening on Horizontal Curves+Mechanical Widening on Horizontal Curves)

Can the Total Extra Widening required on Horizontal Curves be negative?

Yes, the Total Extra Widening required on Horizontal Curves, measured in Length can be negative.

Which unit is used to measure Total Extra Widening required on Horizontal Curves?

Total Extra Widening required on Horizontal Curves is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Total Extra Widening required on Horizontal Curves can be measured.

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Total Extra Widening required on Horizontal Curves Formula

​GoTotal Extra Widening required on Horizontal Curves wrt Wm and Wps Formula

Total Extra Widening required on Horizontal Curves Example

Total Extra Widening required on Horizontal Curves Solution

Total Extra Widening required on Horizontal Curves Formula Elements

Other Formulas to find Total Extra Widening Required on Horizontal Curves

Other formulas in Extra Widening on Horizontal Curves category

How to Evaluate Total Extra Widening required on Horizontal Curves?

FAQs on Total Extra Widening required on Horizontal Curves

Variable Name

GoTotal Extra Widening required on Horizontal Curves wrt Wm and Wps Formula