✖Number of Traffic Lanes is defined as the total number of traffic lanes present on the highways.ⓘ Number of Traffic Lanes [n]			+10% -10%
✖Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels.ⓘ Length of Wheel Base as per IRC [l]			+10% -10%
✖The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.ⓘ Radius of Curve [R_t]			+10% -10%
✖Speed of Vehicle is defined as the instantaneous speed of an individual vehicle as it passes a speed Measurement point or as measured in a speedometer.ⓘ Speed of Vehicle [v]			+10% -10%

✖Total Extra Widening Required on Horizontal Curves is defined as the sum of mechanical widening and psychological widening of roads on horizontal curves.ⓘ Total Extra Widening required on Horizontal Curves [W_e]

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Total Extra Widening required on Horizontal Curves

Formula

`"W"_{"e"} = (("n"*("l"^2))/(2*"R"_{"t"}))+("v"/(9.5*("R"_{"t"}^0.5)))`

Example

`"0.843869m"=(("9"*(("6m")^2))/(2*"300m"))+("50km/h"/(9.5*(("300m")^0.5)))`

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Total Extra Widening required on Horizontal Curves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5)))
W_e = ((n*(l^2))/(2*R_t))+(v/(9.5*(R_t^0.5)))
This formula uses 5 Variables

Variables Used

Total Extra Widening Required on Horizontal Curves - (Measured in Meter) - Total Extra Widening Required on Horizontal Curves is defined as the sum of mechanical widening and psychological widening of roads on horizontal curves.
Number of Traffic Lanes - Number of Traffic Lanes is defined as the total number of traffic lanes present on the highways.
Length of Wheel Base as per IRC - (Measured in Meter) - Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels.
Radius of Curve - (Measured in Meter) - The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.
Speed of Vehicle - (Measured in Kilometer per Hour) - Speed of Vehicle is defined as the instantaneous speed of an individual vehicle as it passes a speed Measurement point or as measured in a speedometer.

STEP 1: Convert Input(s) to Base Unit

Number of Traffic Lanes: 9 --> No Conversion Required
Length of Wheel Base as per IRC: 6 Meter --> 6 Meter No Conversion Required
Radius of Curve: 300 Meter --> 300 Meter No Conversion Required
Speed of Vehicle: 50 Kilometer per Hour --> 50 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_e = ((n*(l^2))/(2*R_t))+(v/(9.5*(R_t^0.5))) --> ((9*(6^2))/(2*300))+(50/(9.5*(300^0.5)))

Evaluating ... ...

W_e = 0.843868562731382

STEP 3: Convert Result to Output's Unit

0.843868562731382 Meter --> No Conversion Required

FINAL ANSWER

0.843868562731382 ≈ 0.843869 Meter <-- Total Extra Widening Required on Horizontal Curves

(Calculation completed in 00.004 seconds)

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< 3 Extra Widening on Horizontal Curves Calculators

Total Extra Widening required on Horizontal Curves

Go Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5)))

Total Extra Widening required on Horizontal Curves wrt Wm and Wps

Go Total Extra Widening Required on Horizontal Curves = (Psychological Widening on Horizontal Curves+Mechanical Widening on Horizontal Curves)

Psychological Widening on Horizontal Curves

Go Psychological Widening on Horizontal Curves = Speed of Vehicle/(9.5*(Radius of Curve)^0.5)

Total Extra Widening required on Horizontal Curves Formula

Why Extra Widening of Road is required at Horizontal Curve?

When a vehicle travels on horizontal curves, it occupies more width than that it occupies on straight road. This reduces the capacity of the road in respect of accommodating number of vehicles on horizontal curve. To compensate for this effect the width of the road on horizontal curve is increased.

How to Calculate Total Extra Widening required on Horizontal Curves?

Total Extra Widening required on Horizontal Curves calculator uses Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))) to calculate the Total Extra Widening Required on Horizontal Curves, Total Extra Widening required on Horizontal Curves formula is defined as the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment. Total Extra Widening Required on Horizontal Curves is denoted by W_e symbol.

How to calculate Total Extra Widening required on Horizontal Curves using this online calculator? To use this online calculator for Total Extra Widening required on Horizontal Curves, enter Number of Traffic Lanes (n), Length of Wheel Base as per IRC (l), Radius of Curve (R_t) & Speed of Vehicle (v) and hit the calculate button. Here is how the Total Extra Widening required on Horizontal Curves calculation can be explained with given input values -> 0.423869 = ((9*(6^2))/(2*300))+(13.8888888888889/(9.5*(300^0.5))).

FAQ

What is Total Extra Widening required on Horizontal Curves?

Total Extra Widening required on Horizontal Curves formula is defined as the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment and is represented as W_e = ((n*(l^2))/(2*R_t))+(v/(9.5*(R_t^0.5))) or Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))). Number of Traffic Lanes is defined as the total number of traffic lanes present on the highways, Length of Wheel Base as per IRC is the distance between the center of the front wheels and the center of the rear wheels, The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve & Speed of Vehicle is defined as the instantaneous speed of an individual vehicle as it passes a speed Measurement point or as measured in a speedometer.

How to calculate Total Extra Widening required on Horizontal Curves?

Total Extra Widening required on Horizontal Curves formula is defined as the extra width of carriageway that is required on a curved section of a road over and above that is required on a straight alignment is calculated using Total Extra Widening Required on Horizontal Curves = ((Number of Traffic Lanes*(Length of Wheel Base as per IRC^2))/(2*Radius of Curve))+(Speed of Vehicle/(9.5*(Radius of Curve^0.5))). To calculate Total Extra Widening required on Horizontal Curves, you need Number of Traffic Lanes (n), Length of Wheel Base as per IRC (l), Radius of Curve (R_t) & Speed of Vehicle (v). With our tool, you need to enter the respective value for Number of Traffic Lanes, Length of Wheel Base as per IRC, Radius of Curve & Speed of Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Extra Widening Required on Horizontal Curves?

In this formula, Total Extra Widening Required on Horizontal Curves uses Number of Traffic Lanes, Length of Wheel Base as per IRC, Radius of Curve & Speed of Vehicle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Extra Widening Required on Horizontal Curves = (Psychological Widening on Horizontal Curves+Mechanical Widening on Horizontal Curves)

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