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Total Widening needed at Horizontal Curve Formula

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Total Widening Needed at Horizontal Curve is the total amount of widening required at a horizontal curve to ensure smooth and safe traffic flow. Check FAQs

W e = \frac{n \cdot {l fr}^{2}}{2 \cdot R mean} + \frac{v vehicle}{2.64 \cdot \sqrt{R mean}}

W_e - Total Widening Needed at Horizontal Curve?n - Number of Lanes?l_fr - Distance between Front and Rear Wheel?R_mean - Mean Radius of Curve?v_vehicle - Velocity?

Total Widening needed at Horizontal Curve Example

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Here is how the Total Widening needed at Horizontal Curve equation looks like with Values.

Here is how the Total Widening needed at Horizontal Curve equation looks like with Units.

Here is how the Total Widening needed at Horizontal Curve equation looks like.

7.9199 = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340} + \frac{28.23}{2.64 \cdot \sqrt{340}}

7.9199m = \frac{9.0049 \cdot {23.5431m}^{2}}{2 \cdot 340m} + \frac{28.23m/s}{2.64 \cdot \sqrt{340m}}

7.9199 = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340} + \frac{28.23}{2.64 \cdot \sqrt{340}}

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Total Widening needed at Horizontal Curve Solution

Follow our step by step solution on how to calculate Total Widening needed at Horizontal Curve?

FIRST Step Consider the formula

W e = \frac{n \cdot {l fr}^{2}}{2 \cdot R mean} + \frac{v vehicle}{2.64 \cdot \sqrt{R mean}}

Next Step Substitute values of Variables

∴

W e = \frac{9.0049 \cdot {23.5431m}^{2}}{2 \cdot 340m} + \frac{28.23m/s}{2.64 \cdot \sqrt{340m}}

Next Step Prepare to Evaluate

∴

W e = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340} + \frac{28.23}{2.64 \cdot \sqrt{340}}

Next Step Evaluate

∴

W e = 7.91991938563812m

LAST Step Rounding Answer

∴

W e = 7.9199m

Total Widening needed at Horizontal Curve Formula Elements

Variables

Functions

Total Widening Needed at Horizontal Curve

Total Widening Needed at Horizontal Curve is the total amount of widening required at a horizontal curve to ensure smooth and safe traffic flow.

Symbol: W_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Widening Needed at Horizontal Curve

Number of Lanes

Number of Lanes is the total number of lanes on a road or highway, including both directions of travel, considered in superelevation design.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Lanes

Distance between Front and Rear Wheel

Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.

Symbol: l_fr

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between Front and Rear Wheel

Mean Radius of Curve

Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.

Symbol: R_mean

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Radius of Curve

Velocity

Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.

Symbol: v_vehicle

Measurement: SpeedUnit: m/s

Note: Value should be between 0 to 500.

Formulas to find Velocity

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Design of Superelevation category

Go Distance between Front and Rear Wheel

l fr = 2 \cdot R 2 \cdot W m - {W m}^{2}

Go Psychological Widening at Horizontal Curves

W ps = \frac{v vehicle}{2.64 \cdot \sqrt{R mean}}

Go Mechanical Widening needed for Large Radius of Road Curve

W m = \frac{n \cdot {l fr}^{2}}{2 \cdot R mean}

Go Ruling Minimum Radius

R ruling = \frac{{v vehicle}^{2}}{[g] \cdot (e + f lateral)}

How to Evaluate Total Widening needed at Horizontal Curve?

Total Widening needed at Horizontal Curve evaluator uses Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve)) to evaluate the Total Widening Needed at Horizontal Curve, Total Widening needed at Horizontal Curve formula is defined as a measure to determine the necessary lateral space required for vehicles to safely navigate a horizontal curve, ensuring stability and comfort during transportation. Total Widening Needed at Horizontal Curve is denoted by W_e symbol.

How to evaluate Total Widening needed at Horizontal Curve using this online evaluator? To use this online evaluator for Total Widening needed at Horizontal Curve, enter Number of Lanes (n), Distance between Front and Rear Wheel (l_fr), Mean Radius of Curve (R_mean) & Velocity (v_vehicle) and hit the calculate button.

FAQs on Total Widening needed at Horizontal Curve

What is the formula to find Total Widening needed at Horizontal Curve?

The formula of Total Widening needed at Horizontal Curve is expressed as Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve)). Here is an example- 7.919919 = (9.004875*23.5431^2)/(2*340)+28.23/(2.64*sqrt(340)).

How to calculate Total Widening needed at Horizontal Curve?

With Number of Lanes (n), Distance between Front and Rear Wheel (l_fr), Mean Radius of Curve (R_mean) & Velocity (v_vehicle) we can find Total Widening needed at Horizontal Curve using the formula - Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve)). This formula also uses Square Root (sqrt) function(s).

Can the Total Widening needed at Horizontal Curve be negative?

No, the Total Widening needed at Horizontal Curve, measured in Length cannot be negative.

Which unit is used to measure Total Widening needed at Horizontal Curve?

Total Widening needed at Horizontal Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Total Widening needed at Horizontal Curve can be measured.

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Total Widening needed at Horizontal Curve Formula

Total Widening needed at Horizontal Curve Example

Total Widening needed at Horizontal Curve Solution

Total Widening needed at Horizontal Curve Formula Elements

Other formulas in Design of Superelevation category

How to Evaluate Total Widening needed at Horizontal Curve?

FAQs on Total Widening needed at Horizontal Curve

Variable Name