Allowable Speed of Vehicle in Horizontal Curve Calculator

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Design of Superelevation

Design of Transition Curves and Setback Distances

Marshall Mix Design

Pavement Materials

Sight Distance

Vertical alignment

✖Mean Radius of Curve is the mean radius of the horizontal curve of the road.ⓘ Mean Radius of Curve [R_mean]

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✖Allowable Speed is the speed of the vehicle in unit time.ⓘ Allowable Speed of Vehicle in Horizontal Curve [v_a]

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Formula

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Allowable Speed of Vehicle in Horizontal Curve

Formula

`"v"_{"a"} = sqrt(0.22*"[g]"*"R"_{"mean"})`

Example

`"27.0839m/s"=sqrt(0.22*"[g]"*"340m")`

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Allowable Speed of Vehicle in Horizontal Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)
v_a = sqrt(0.22*[g]*R_mean)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Allowable Speed - (Measured in Meter per Second) - Allowable Speed is the speed of the vehicle in unit 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

Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_a = sqrt(0.22*[g]*R_mean) --> sqrt(0.22*[g]*340)

Evaluating ... ...

v_a = 27.0838959531305

STEP 3: Convert Result to Output's Unit

27.0838959531305 Meter per Second --> No Conversion Required

FINAL ANSWER

27.0838959531305 ≈ 27.0839 Meter per Second <-- Allowable Speed

(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)

Allowable Speed of Vehicle in Horizontal Curve Formula

Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)
v_a = sqrt(0.22*[g]*R_mean)

What is Horizontal Curve?

Horizontal curves are those that change the alignment or direction of the road (as opposed to vertical curves, which change the slope).

How to Calculate Allowable Speed of Vehicle in Horizontal Curve?

Allowable Speed of Vehicle in Horizontal Curve calculator uses Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve) to calculate the Allowable Speed, The Allowable Speed of Vehicle in Horizontal Curve formula is defined as the speed allowable in unit time of vehicle. Allowable Speed is denoted by v_a symbol.

How to calculate Allowable Speed of Vehicle in Horizontal Curve using this online calculator? To use this online calculator for Allowable Speed of Vehicle in Horizontal Curve, enter Mean Radius of Curve (R_mean) and hit the calculate button. Here is how the Allowable Speed of Vehicle in Horizontal Curve calculation can be explained with given input values -> 8.045116 = sqrt(0.22*[g]*340).

FAQ

What is Allowable Speed of Vehicle in Horizontal Curve?

The Allowable Speed of Vehicle in Horizontal Curve formula is defined as the speed allowable in unit time of vehicle and is represented as v_a = sqrt(0.22*[g]*R_mean) or Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve). Mean Radius of Curve is the mean radius of the horizontal curve of the road.

How to calculate Allowable Speed of Vehicle in Horizontal Curve?

The Allowable Speed of Vehicle in Horizontal Curve formula is defined as the speed allowable in unit time of vehicle is calculated using Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve). To calculate Allowable Speed of Vehicle in Horizontal Curve, you need Mean Radius of Curve (R_mean). With our tool, you need to enter the respective value for 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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