Distance between Front and Rear Wheel Calculator

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Design of Transition Curves and Setback Distances

✖Radius of Outer Track Line of Front Wheel is the radius of the outer horizontal curve.ⓘ Radius of Outer Track Line of Front Wheel [R₂]			+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 on Horizontal Curves [W_m]			+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]

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Formula

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Distance between Front and Rear Wheel

Formula

`"l"_{"fr"} = 2*"R"_{"2"}*"W"_{"m"}-"W"_{"m"}^2`

Example

`"23.5431m"=2*"32m"*"0.37m"-("0.37m")^2`

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Distance between Front and Rear Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
l_fr = 2*R₂*W_m-W_m^2
This formula uses 3 Variables

Variables Used

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.
Radius of Outer Track Line of Front Wheel - (Measured in Meter) - Radius of Outer Track Line of Front Wheel is the radius of the outer horizontal curve.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Track Line of Front Wheel: 32 Meter --> 32 Meter No Conversion Required
Mechanical Widening on Horizontal Curves: 0.37 Meter --> 0.37 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_fr = 2*R₂*W_m-W_m^2 --> 2*32*0.37-0.37^2

Evaluating ... ...

l_fr = 23.5431

STEP 3: Convert Result to Output's Unit

23.5431 Meter --> No Conversion Required

FINAL ANSWER

23.5431 Meter <-- Distance between Front and Rear Wheel

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

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

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

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)

Distance between Front and Rear Wheel Formula

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
l_fr = 2*R₂*W_m-W_m^2

What is Wheelbase for vehicles with more than two Axles?

For vehicles with more than two axles, the wheelbase is the distance between the steering axle and the center of the driving axle group.

How to Calculate Distance between Front and Rear Wheel?

Distance between Front and Rear Wheel calculator uses 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 to calculate the Distance between Front and Rear Wheel, The Distance between Front and Rear Wheel formula is defined as distance between the centers of the front and rear tires on a vehicle. It's not equal to the overall length, which is the total measurement from front to rear. Distance between Front and Rear Wheel is denoted by l_fr symbol.

How to calculate Distance between Front and Rear Wheel using this online calculator? To use this online calculator for Distance between Front and Rear Wheel, enter Radius of Outer Track Line of Front Wheel (R₂) & Mechanical Widening on Horizontal Curves (W_m) and hit the calculate button. Here is how the Distance between Front and Rear Wheel calculation can be explained with given input values -> 23.5431 = 2*32*0.37-0.37^2.

FAQ

What is Distance between Front and Rear Wheel?

The Distance between Front and Rear Wheel formula is defined as distance between the centers of the front and rear tires on a vehicle. It's not equal to the overall length, which is the total measurement from front to rear and is represented as l_fr = 2*R₂*W_m-W_m^2 or 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. Radius of Outer Track Line of Front Wheel is the radius of the outer horizontal curve & Mechanical Widening on Horizontal Curves is the widening required to account for the off-tracking due to the rigidity of wheel based.

How to calculate Distance between Front and Rear Wheel?

The Distance between Front and Rear Wheel formula is defined as distance between the centers of the front and rear tires on a vehicle. It's not equal to the overall length, which is the total measurement from front to rear is calculated using 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. To calculate Distance between Front and Rear Wheel, you need Radius of Outer Track Line of Front Wheel (R₂) & Mechanical Widening on Horizontal Curves (W_m). With our tool, you need to enter the respective value for Radius of Outer Track Line of Front Wheel & Mechanical Widening on Horizontal Curves 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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