Total Widening needed at Horizontal 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%
✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+10% -10%

✖Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening.ⓘ Total Widening needed at Horizontal Curve [W_e]

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Formula

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Total Widening needed at Horizontal Curve

Formula

`"W"_{"e"} = ("n"*"l"_{"fr"}^2)/(2*"R"_{"mean"})+"v"_{"vehicle"}/(2.64*sqrt("R"_{"mean"}))`

Example

`"0.818155m"=("2"*("9m")^2)/(2*"340m")+"28.23m/s"/(2.64*sqrt("340m"))`

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Total Widening needed at Horizontal Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W_e = (n*l_fr^2)/(2*R_mean)+v_vehicle/(2.64*sqrt(R_mean))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Widening Needed at Horizontal Curve - (Measured in Meter) - Total Widening Needed at Horizontal Curve is the sum of total mechanical widening and total psychological widening.
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.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.

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
Velocity: 28.23 Meter per Second --> 28.23 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_e = (n*l_fr^2)/(2*R_mean)+v_vehicle/(2.64*sqrt(R_mean)) --> (2*9^2)/(2*340)+28.23/(2.64*sqrt(340))

Evaluating ... ...

W_e = 0.818154500956725

STEP 3: Convert Result to Output's Unit

0.818154500956725 Meter --> No Conversion Required

FINAL ANSWER

0.818154500956725 ≈ 0.818155 Meter <-- Total Widening Needed at Horizontal Curve

(Calculation completed in 00.004 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)

Total Widening needed at Horizontal Curve Formula

How much percentage of design dpeed is cosidered for super elevation?

The design of super-elevation follows IRC guidelines wherein the initial design is done by considering 75% of design speed and the safety of design is assessed. Pavement is to be given extra width at curves
to account for mechanical and psychological aspects.

How to Calculate Total Widening needed at Horizontal Curve?

Total Widening needed at Horizontal Curve calculator uses 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)) to calculate the Total Widening Needed at Horizontal Curve, The Total Widening needed at Horizontal Curve formula is defined as the sum of mechanical widening and psychological widening at horizontal curve. Total Widening Needed at Horizontal Curve is denoted by W_e symbol.

How to calculate Total Widening needed at Horizontal Curve using this online calculator? To use this online calculator for Total Widening needed at Horizontal Curve, enter Number of Lanes (n), Distance between Front and Rear Wheel (l_fr), Mean Radius of Curve (R_mean) & Velocity (v_vehicle) and hit the calculate button. Here is how the Total Widening needed at Horizontal Curve calculation can be explained with given input values -> 0.5511 = (2*9^2)/(2*340)+28.23/(2.64*sqrt(340)).

FAQ

What is Total Widening needed at Horizontal Curve?

The Total Widening needed at Horizontal Curve formula is defined as the sum of mechanical widening and psychological widening at horizontal curve and is represented as W_e = (n*l_fr^2)/(2*R_mean)+v_vehicle/(2.64*sqrt(R_mean)) or 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)). 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 & Velocity is the rate of change of distance of the vehicle with respect to time.

How to calculate Total Widening needed at Horizontal Curve?

The Total Widening needed at Horizontal Curve formula is defined as the sum of mechanical widening and psychological widening at horizontal curve is calculated using 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)). To calculate Total Widening needed at Horizontal Curve, you need Number of Lanes (n), Distance between Front and Rear Wheel (l_fr), Mean Radius of Curve (R_mean) & Velocity (v_vehicle). With our tool, you need to enter the respective value for Number of Lanes, Distance between Front and Rear Wheel, Mean Radius of Curve & Velocity 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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