Psychological Widening at Horizontal Curves Calculator

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Design of Transition Curves and Setback Distances

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity [v_vehicle]			+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%

✖Psychological Widening at Horizontal Curves is used when some extra space is to be provided for more clearance for the crossing and overtaking operations on curves.ⓘ Psychological Widening at Horizontal Curves [W_ps]

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Formula

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Psychological Widening at Horizontal Curves

Formula

`"W"_{"ps"} = "v"_{"vehicle"}/(2.64*sqrt("R"_{"mean"}))`

Example

`"0.579919m"="28.23m/s"/(2.64*sqrt("340m"))`

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Psychological Widening at Horizontal Curves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))
W_ps = v_vehicle/(2.64*sqrt(R_mean))
This formula uses 1 Functions, 3 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

Psychological Widening at Horizontal Curves - (Measured in Meter) - Psychological Widening at Horizontal Curves is used when some extra space is to be provided for more clearance for the crossing and overtaking operations on curves.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
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

Velocity: 28.23 Meter per Second --> 28.23 Meter per Second No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_ps = v_vehicle/(2.64*sqrt(R_mean)) --> 28.23/(2.64*sqrt(340))

Evaluating ... ...

W_ps = 0.579919206839078

STEP 3: Convert Result to Output's Unit

0.579919206839078 Meter --> No Conversion Required

FINAL ANSWER

0.579919206839078 ≈ 0.579919 Meter <-- Psychological Widening at Horizontal Curves

(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 Kartikay Pandit

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)

Psychological Widening at Horizontal Curves Formula

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

What is Psychological Effect?

Psychological effect occurs when vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path.

How to Calculate Psychological Widening at Horizontal Curves?

Psychological Widening at Horizontal Curves calculator uses Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)) to calculate the Psychological Widening at Horizontal Curves, Psychological Widening at Horizontal Curves is needed where vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path. Psychological Widening at Horizontal Curves is denoted by W_ps symbol.

How to calculate Psychological Widening at Horizontal Curves using this online calculator? To use this online calculator for Psychological Widening at Horizontal Curves, enter Velocity (v_vehicle) & Mean Radius of Curve (R_mean) and hit the calculate button. Here is how the Psychological Widening at Horizontal Curves calculation can be explained with given input values -> 0.312865 = 28.23/(2.64*sqrt(340)).

FAQ

What is Psychological Widening at Horizontal Curves?

Psychological Widening at Horizontal Curves is needed where vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path and is represented as W_ps = v_vehicle/(2.64*sqrt(R_mean)) or Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)). Velocity is the rate of change of distance of the vehicle with respect to time & Mean Radius of Curve is the mean radius of the horizontal curve of the road.

How to calculate Psychological Widening at Horizontal Curves?

Psychological Widening at Horizontal Curves is needed where vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path is calculated using Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve)). To calculate Psychological Widening at Horizontal Curves, you need Velocity (v_vehicle) & Mean Radius of Curve (R_mean). With our tool, you need to enter the respective value for Velocity & 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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