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Total Widening needed at Horizontal Curve Calculator

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✖Number of Lanes is the total number of lanes on a road or highway, including both directions of travel, considered in superelevation design.ⓘ Number of Lanes [n]			+10% -10%
✖Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section.ⓘ Distance between Front and Rear Wheel [l_fr]			+10% -10%
✖Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%
✖Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.ⓘ Velocity [v_vehicle]			+10% -10%

✖Total Widening Needed at Horizontal Curve is the total amount of widening required at a horizontal curve to ensure smooth and safe traffic flow.ⓘ Total Widening needed at Horizontal Curve [W_e]

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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 total amount of widening required at a horizontal curve to ensure smooth and safe traffic flow.
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.
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.
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.
Velocity - (Measured in Meter per Second) - Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.

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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< Design of Superelevation Calculators

Distance between Front and Rear Wheel

LaTeX 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

LaTeX Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Mechanical Widening needed for Large Radius of Road Curve

LaTeX 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

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

Total Widening needed at Horizontal Curve Formula

LaTeX Go

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 -> 0.818155 = (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 number of lanes on a road or highway, including both directions of travel, considered in superelevation design, Distance between Front and Rear Wheel is the horizontal distance between the front and rear wheels of a vehicle on a curved road section, Mean Radius of Curve is the average radius of a curve section in road design, used to calculate superelevation and widening of the road & Velocity is the rate of change of an object's position with respect to time, used in superelevation design to ensure safe and efficient traffic flow.

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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