Mechanical Widening needed for Large Radius of Road Curve Calculator

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Design of Transition Curves and Setback Distances

✖Number of Lanes is the total no. of lanes a road is consisting.ⓘ Number of Lanes [n]			+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%
✖Mean Radius of Curve is the mean radius of the horizontal curve of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%

✖Mechanical Widening on Horizontal Curves is the widening required to account for the off-tracking due to the rigidity of wheel based.ⓘ Mechanical Widening needed for Large Radius of Road Curve [W_m]

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Formula

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Mechanical Widening needed for Large Radius of Road Curve

Formula

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

Example

`"0.238235m"=("2"*("9m")^2)/(2*"340m")`

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Mechanical Widening needed for Large Radius of Road Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Number of Lanes - Number of Lanes is the total no. of lanes a road is consisting.
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.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the mean radius of the horizontal curve of the road.

STEP 1: Convert Input(s) to Base Unit

Number of Lanes: 2 --> No Conversion Required
Distance between Front and Rear Wheel: 9 Meter --> 9 Meter No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

W_m = 0.238235294117647

STEP 3: Convert Result to Output's Unit

0.238235294117647 Meter --> No Conversion Required

FINAL ANSWER

0.238235294117647 ≈ 0.238235 Meter <-- Mechanical Widening on Horizontal Curves

(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)

Mechanical Widening needed for Large Radius of Road Curve Formula

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

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 Mechanical Widening needed for Large Radius of Road Curve?

Mechanical Widening needed for Large Radius of Road Curve calculator uses Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve) to calculate the Mechanical Widening on Horizontal Curves, The Mechanical Widening needed for Large Radius of Road Curve formula is defined as the widening required to account for the off-tracking due to rigidity of wheelbase is known as Mechanical widening. Mechanical Widening on Horizontal Curves is denoted by W_m symbol.

How to calculate Mechanical Widening needed for Large Radius of Road Curve using this online calculator? To use this online calculator 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. Here is how the Mechanical Widening needed for Large Radius of Road Curve calculation can be explained with given input values -> 0.238235 = (2*9^2)/(2*340).

FAQ

What is Mechanical Widening needed for Large Radius of Road Curve?

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

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

The Mechanical Widening needed for Large Radius of Road Curve formula is defined as the widening required to account for the off-tracking due to rigidity of wheelbase is known as Mechanical widening is calculated using Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve). To calculate Mechanical Widening needed for Large Radius of Road Curve, you need Number of Lanes (n), Distance between Front and Rear Wheel (l_fr) & Mean Radius of Curve (R_mean). With our tool, you need to enter the respective value for Number of Lanes, Distance between Front and Rear Wheel & Mean Radius of Curve 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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