Number of Lanes in Horizontal Curve Calculator

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Design of Transition Curves and Setback Distances

✖Mechanical Widening on Horizontal Curves is the widening required to account for the off-tracking due to the rigidity of wheel based.ⓘ Mechanical Widening on Horizontal Curves [W_m]			+10% -10%
✖Mean Radius of Curve is the mean radius of the horizontal curve of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%
✖Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.ⓘ Distance between Front and Rear Wheel [l_fr]			+10% -10%

✖Number of Lanes is the total no. of lanes a road is consisting.ⓘ Number of Lanes in Horizontal Curve [n]

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Formula

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Number of Lanes in Horizontal Curve

Formula

`"n" = (2*"W"_{"m"}*"R"_{"mean"})/"l"_{"fr"}^2`

Example

`"3.106173"=(2*"0.37m"*"340m")/("9m")^2`

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Number of Lanes in Horizontal Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2
n = (2*W_m*R_mean)/l_fr^2
This formula uses 4 Variables

Variables Used

Number of Lanes - Number of Lanes is the total no. of lanes a road is consisting.
Mechanical Widening on Horizontal Curves - (Measured in Meter) - Mechanical Widening on Horizontal Curves is the widening required to account for the off-tracking due to the rigidity of wheel based.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the mean radius of the horizontal curve of the road.
Distance between Front and Rear Wheel - (Measured in Meter) - Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.

STEP 1: Convert Input(s) to Base Unit

Mechanical Widening on Horizontal Curves: 0.37 Meter --> 0.37 Meter No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required
Distance between Front and Rear Wheel: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (2*W_m*R_mean)/l_fr^2 --> (2*0.37*340)/9^2

Evaluating ... ...

n = 3.10617283950617

STEP 3: Convert Result to Output's Unit

3.10617283950617 --> No Conversion Required

FINAL ANSWER

3.10617283950617 ≈ 3.106173 <-- Number of Lanes

(Calculation completed in 00.020 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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National Institute Of Technology (NIT), Hamirpur

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< 12 Design of Superelevation Calculators

Total Widening needed at Horizontal Curve

Go 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))

Distance between Front and Rear Wheel

Go Distance between Front and Rear Wheel = 2*Radius of Outer Track Line of Front Wheel*Mechanical Widening on Horizontal Curves-Mechanical Widening on Horizontal Curves^2

Velocity of Vehicle for Ruling Minimum Radius

Go Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Radius of Outer Track Line of Front Wheel

Go Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)

Radius of Outer Track Line of Rear Wheel

Go Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2)

Ruling Minimum Radius

Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Mechanical Widening needed for Large Radius of Road Curve

Go Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)

Number of Lanes in Horizontal Curve

Go Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2

Psychological Widening at Horizontal Curves

Go Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))

Velocity of Vehicle for Psychological Widening

Go Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve)

Rate of Super Elevation

Go Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve)

Allowable Speed of Vehicle in Horizontal Curve

Go Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)

Number of Lanes in Horizontal Curve Formula

Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2
n = (2*W_m*R_mean)/l_fr^2

What is a lane in road?

It can be narrow and only one way, wider and two way or even wider and carry more than two vehicles across its with. If it is more than one way, then it will be broken into lanes, usually with a painted or other road marking or construction to separate different directions of traffic.

How to Calculate Number of Lanes in Horizontal Curve?

Number of Lanes in Horizontal Curve calculator uses Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2 to calculate the Number of Lanes, The Number of Lanes in Horizontal Curve formula is defined as the total no. of lanes needed considering factors like mechanical widening, mean radius and distance between front and rear wheel of vehicle. Number of Lanes is denoted by n symbol.

How to calculate Number of Lanes in Horizontal Curve using this online calculator? To use this online calculator for Number of Lanes in Horizontal Curve, enter Mechanical Widening on Horizontal Curves (W_m), Mean Radius of Curve (R_mean) & Distance between Front and Rear Wheel (l_fr) and hit the calculate button. Here is how the Number of Lanes in Horizontal Curve calculation can be explained with given input values -> 3.106173 = (2*0.37*340)/9^2.

FAQ

What is Number of Lanes in Horizontal Curve?

The Number of Lanes in Horizontal Curve formula is defined as the total no. of lanes needed considering factors like mechanical widening, mean radius and distance between front and rear wheel of vehicle and is represented as n = (2*W_m*R_mean)/l_fr^2 or Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2. Mechanical Widening on Horizontal Curves is the widening required to account for the off-tracking due to the rigidity of wheel based, Mean Radius of Curve is the mean radius of the horizontal curve of the road & Distance between Front and Rear Wheel is the distance between the centers of the front and rear tires on a vehicle.

How to calculate Number of Lanes in Horizontal Curve?

The Number of Lanes in Horizontal Curve formula is defined as the total no. of lanes needed considering factors like mechanical widening, mean radius and distance between front and rear wheel of vehicle is calculated using Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2. To calculate Number of Lanes in Horizontal Curve, you need Mechanical Widening on Horizontal Curves (W_m), Mean Radius of Curve (R_mean) & Distance between Front and Rear Wheel (l_fr). With our tool, you need to enter the respective value for Mechanical Widening on Horizontal Curves, Mean Radius of Curve & Distance between Front and Rear Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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