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*Wm*Rmean)/lfr^2
This formula uses 4 Variables
Variables Used
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.
Mechanical Widening on Horizontal Curves - (Measured in Meter) - Mechanical Widening on Horizontal Curves is the process of increasing the pavement width on horizontal curves to ensure safety and comfort of vehicles.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.
Distance between Front and Rear Wheel - (Measured in Meter) - Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.
STEP 1: Convert Input(s) to Base Unit
Mechanical Widening on Horizontal Curves: 7.34 Meter --> 7.34 Meter No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required
Distance between Front and Rear Wheel: 23.5431 Meter --> 23.5431 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = (2*Wm*Rmean)/lfr^2 --> (2*7.34*340)/23.5431^2
Evaluating ... ...
n = 9.00487478064537
STEP 3: Convert Result to Output's Unit
9.00487478064537 --> No Conversion Required
FINAL ANSWER
9.00487478064537 9.004875 <-- 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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Design of Superelevation Calculators

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

Number of Lanes in Horizontal Curve Formula

​Go
Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2
n = (2*Wm*Rmean)/lfr^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, Number of Lanes in Horizontal Curve formula is defined as a method to determine the optimal number of lanes required for a horizontal curve in transportation design, ensuring safety and efficiency in vehicle movement on curved roadways. 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 (Wm), Mean Radius of Curve (Rmean) & Distance between Front and Rear Wheel (lfr) and hit the calculate button. Here is how the Number of Lanes in Horizontal Curve calculation can be explained with given input values -> 9.004875 = (2*7.34*340)/23.5431^2.

FAQ

What is Number of Lanes in Horizontal Curve?
Number of Lanes in Horizontal Curve formula is defined as a method to determine the optimal number of lanes required for a horizontal curve in transportation design, ensuring safety and efficiency in vehicle movement on curved roadways and is represented as n = (2*Wm*Rmean)/lfr^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 process of increasing the pavement width on horizontal curves to ensure safety and comfort of vehicles, Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road & Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.
How to calculate Number of Lanes in Horizontal Curve?
Number of Lanes in Horizontal Curve formula is defined as a method to determine the optimal number of lanes required for a horizontal curve in transportation design, ensuring safety and efficiency in vehicle movement on curved roadways 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 (Wm), Mean Radius of Curve (Rmean) & Distance between Front and Rear Wheel (lfr). 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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