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Mechanical Widening needed for Large Radius of Road Curve Formula

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Mechanical Widening on Horizontal Curves is the process of increasing the pavement width on horizontal curves to ensure safety and comfort of vehicles. Check FAQs

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

W_m - Mechanical Widening on Horizontal Curves?n - Number of Lanes?l_fr - Distance between Front and Rear Wheel?R_mean - Mean Radius of Curve?

Mechanical Widening needed for Large Radius of Road Curve Example

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Here is how the Mechanical Widening needed for Large Radius of Road Curve equation looks like with Values.

Here is how the Mechanical Widening needed for Large Radius of Road Curve equation looks like with Units.

Here is how the Mechanical Widening needed for Large Radius of Road Curve equation looks like.

7.34 = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340}

7.34m = \frac{9.0049 \cdot {23.5431m}^{2}}{2 \cdot 340m}

7.34 = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340}

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Mechanical Widening needed for Large Radius of Road Curve Solution

Follow our step by step solution on how to calculate Mechanical Widening needed for Large Radius of Road Curve?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W m = \frac{9.0049 \cdot {23.5431m}^{2}}{2 \cdot 340m}

Next Step Prepare to Evaluate

∴

W m = \frac{9.0049 \cdot {23.5431}^{2}}{2 \cdot 340}

Next Step Evaluate

∴

W m = 7.34000017879904m

LAST Step Rounding Answer

∴

W m = 7.34m

Mechanical Widening needed for Large Radius of Road Curve Formula Elements

Variables

Mechanical Widening on Horizontal Curves

Mechanical Widening on Horizontal Curves is the process of increasing the pavement width on horizontal curves to ensure safety and comfort of vehicles.

Symbol: W_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mechanical Widening on Horizontal Curves

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

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 Ruling Minimum Radius

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

Go Radius of Outer Track Line of Rear Wheel

R 1 = \sqrt{{R 2}^{2} - {l fr}^{2}}

How to Evaluate Mechanical Widening needed for Large Radius of Road Curve?

Mechanical Widening needed for Large Radius of Road Curve evaluator uses Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve) to evaluate the Mechanical Widening on Horizontal Curves, Mechanical Widening needed for Large Radius of Road Curve formula is defined as a method to determine the necessary widening of a road curve to ensure safe vehicle maneuvering at higher speeds, enhancing overall transportation safety and efficiency. Mechanical Widening on Horizontal Curves is denoted by W_m symbol.

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

FAQs on Mechanical Widening needed for Large Radius of Road Curve

What is the formula to find Mechanical Widening needed for Large Radius of Road Curve?

The formula of Mechanical Widening needed for Large Radius of Road Curve is expressed as Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve). Here is an example- 1.630228 = (9.004875*23.5431^2)/(2*340).

How to calculate Mechanical Widening needed for Large Radius of Road Curve?

With Number of Lanes (n), Distance between Front and Rear Wheel (l_fr) & Mean Radius of Curve (R_mean) we can find Mechanical Widening needed for Large Radius of Road Curve using the formula - Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve).

Can the Mechanical Widening needed for Large Radius of Road Curve be negative?

No, the Mechanical Widening needed for Large Radius of Road Curve, measured in Length cannot be negative.

Which unit is used to measure Mechanical Widening needed for Large Radius of Road Curve?

Mechanical Widening needed for Large Radius of Road Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mechanical Widening needed for Large Radius of Road Curve can be measured.

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Mechanical Widening needed for Large Radius of Road Curve Formula

Mechanical Widening needed for Large Radius of Road Curve Example

Mechanical Widening needed for Large Radius of Road Curve Solution

Mechanical Widening needed for Large Radius of Road Curve Formula Elements

Other formulas in Design of Superelevation category

How to Evaluate Mechanical Widening needed for Large Radius of Road Curve?

FAQs on Mechanical Widening needed for Large Radius of Road Curve

Variable Name