Angle Subtended by Radius of Curve for Single Lane Road Calculator

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Design of Transition Curves and Setback Distances

✖Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.ⓘ Shift [s]			+10% -10%
✖Radius for Transition Curve is the radius at the point of transition curve of roadways.ⓘ Radius for Transition Curve [R_trans]			+10% -10%

✖Angle subtended by Radius of Curve for Single Lane is the angle formed by radius of curve where Ls is less than Lc.ⓘ Angle Subtended by Radius of Curve for Single Lane Road [α₁]

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Formula

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Angle Subtended by Radius of Curve for Single Lane Road

Formula

`"α"_{"1"} = (180*"s")/(pi*"R"_{"trans"})`

Example

`"32.82806°"=(180*"3m")/(pi*"300m")`

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Angle Subtended by Radius of Curve for Single Lane Road Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)
α₁ = (180*s)/(pi*R_trans)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angle subtended by Radius of Curve for Single Lane - (Measured in Radian) - Angle subtended by Radius of Curve for Single Lane is the angle formed by radius of curve where Ls is less than Lc.
Shift - (Measured in Meter) - Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.
Radius for Transition Curve - (Measured in Meter) - Radius for Transition Curve is the radius at the point of transition curve of roadways.

STEP 1: Convert Input(s) to Base Unit

Shift: 3 Meter --> 3 Meter No Conversion Required
Radius for Transition Curve: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α₁ = (180*s)/(pi*R_trans) --> (180*3)/(pi*300)

Evaluating ... ...

α₁ = 0.572957795130823

STEP 3: Convert Result to Output's Unit

0.572957795130823 Radian -->32.8280635001236 Degree (Check conversion here)

FINAL ANSWER

32.8280635001236 ≈ 32.82806 Degree <-- Angle subtended by Radius of Curve for Single Lane

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Design of Transition Curves and Setback Distances » Angle Subtended by Radius of Curve for Single Lane Road

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University of Engineering and Management,Kolkata (UEMK), Kolkata

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< 13 Design of Transition Curves and Setback Distances Calculators

Setback Distance for Multi Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-(Radius for Transition Curve-Center Distance between Road and Inner Lane)*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Setback Distance for Single Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Angle Subtended by Radius of Curve for Multi Lane Road

Go Angle subtended by Radius of Curve for Multi Lane = (180*Length of Transition Curve)/(pi*(Radius for Transition Curve-Center Distance between Road and Inner Lane))

Length of Transition Curve given Super-Elevation

Go Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)

Setback Distance where Ls is Smaller than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)

Curve Resistance

Go Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane)

Length of Transition Curve given Centrifugal Acceleration

Go Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)

Rate of Change of Centrifugal Acceleration

Go Rate of Change of Centrifugal Acceleration = Velocity^3/(Length of Transition Curve*Radius for Transition Curve)

Angle Subtended by Radius of Curve for Single Lane Road

Go Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)

Length of Transition Curve for Steep and Hilly Terrains

Go Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve

Length of Transition for Curve Plain and Rolling Terrain

Go Length of Transition Curve = (35*Velocity^2)/Radius for Transition Curve

Shift given Length of Transition Curve

Go Shift = Length of Transition Curve^2/(24*Radius of Curve)

Rate of Change of Centrifugal Acceleration given Empirical Formula

Go Rate of Change of Centrifugal Acceleration = 80/(75+3.6*Velocity)

Angle Subtended by Radius of Curve for Single Lane Road Formula

Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)
α₁ = (180*s)/(pi*R_trans)

What is Setback Distance?

Setback distance m or the clearance distance is the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve.

How to Calculate Angle Subtended by Radius of Curve for Single Lane Road?

Angle Subtended by Radius of Curve for Single Lane Road calculator uses Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve) to calculate the Angle subtended by Radius of Curve for Single Lane, The Angle subtended by Radius of Curve for Single Lane Road formula is defined as the angle formed by radius of transition curve. Angle subtended by Radius of Curve for Single Lane is denoted by α₁ symbol.

How to calculate Angle Subtended by Radius of Curve for Single Lane Road using this online calculator? To use this online calculator for Angle Subtended by Radius of Curve for Single Lane Road, enter Shift (s) & Radius for Transition Curve (R_trans) and hit the calculate button. Here is how the Angle Subtended by Radius of Curve for Single Lane Road calculation can be explained with given input values -> 1880.909 = (180*3)/(pi*300).

FAQ

What is Angle Subtended by Radius of Curve for Single Lane Road?

The Angle subtended by Radius of Curve for Single Lane Road formula is defined as the angle formed by radius of transition curve and is represented as α₁ = (180*s)/(pi*R_trans) or Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve). Shift is the distance by which the curve moves in order to accommodate the shape of transition curve & Radius for Transition Curve is the radius at the point of transition curve of roadways.

How to calculate Angle Subtended by Radius of Curve for Single Lane Road?

The Angle subtended by Radius of Curve for Single Lane Road formula is defined as the angle formed by radius of transition curve is calculated using Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve). To calculate Angle Subtended by Radius of Curve for Single Lane Road, you need Shift (s) & Radius for Transition Curve (R_trans). With our tool, you need to enter the respective value for Shift & Radius for Transition 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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