## Angle Subtended by Radius of Curve for Multi Lane Road Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
α2 = (180*Lc)/(pi*(Rtrans-d))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle subtended by Radius of Curve for Multi Lane - (Measured in Radian) - Angle subtended by Radius of Curve for Multi Lane is the angle formed by radius of curve where Lc is less than Ls.
Length of Transition Curve - (Measured in Meter) - Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.
Radius for Transition Curve - (Measured in Meter) - Radius for Transition Curve is the radius at the point of transition curve of roadways.
Center Distance between Road and Inner Lane - (Measured in Meter) - Center Distance between Road and Inner Lane is the e distance between centerline of the road and the centerline of the inner lane.It is denoted by d.
STEP 1: Convert Input(s) to Base Unit
Length of Transition Curve: 180 Meter --> 180 Meter No Conversion Required
Radius for Transition Curve: 300 Meter --> 300 Meter No Conversion Required
Center Distance between Road and Inner Lane: 1.2 Meter --> 1.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α2 = (180*Lc)/(pi*(Rtrans-d)) --> (180*180)/(pi*(300-1.2))
Evaluating ... ...
α2 = 34.515529827158
STEP 3: Convert Result to Output's Unit
34.515529827158 Radian -->1977.59418675443 Degree (Check conversion here)
1977.59418675443 1977.594 Degree <-- Angle subtended by Radius of Curve for Multi Lane
(Calculation completed in 00.004 seconds)
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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
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
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 = (180*Length of Transition Curve)/(pi*(Radius for Transition Curve-Center Distance between Road and Inner Lane))
Length of Transition Curve given Super-Elevation
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
Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)
Curve Resistance
Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane)
Length of Transition Curve given Centrifugal Acceleration
Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)
Rate of Change of Centrifugal Acceleration
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 = (180*Shift)/(pi*Radius for Transition Curve)
Length of Transition Curve for Steep and Hilly Terrains
Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve
Length of Transition for Curve Plain and Rolling Terrain
Length of Transition Curve = (35*Velocity^2)/Radius for Transition Curve
Shift given Length of Transition Curve
Shift = Length of Transition Curve^2/(24*Radius of Curve)
Rate of Change of Centrifugal Acceleration given Empirical Formula
Rate of Change of Centrifugal Acceleration = 80/(75+3.6*Velocity)

## Angle Subtended by Radius of Curve for Multi Lane Road Formula

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))
α2 = (180*Lc)/(pi*(Rtrans-d))

## What is the theorem for Angle Subtended by an Arc of a Circle?

The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

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

Angle Subtended by Radius of Curve for Multi Lane Road calculator uses 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)) to calculate the Angle subtended by Radius of Curve for Multi Lane, The Angle subtended by Radius of Curve for Multi Lane Road where formula is defined as the angle formed by radius of transition curve. Angle subtended by Radius of Curve for Multi Lane is denoted by α2 symbol.

How to calculate Angle Subtended by Radius of Curve for Multi Lane Road using this online calculator? To use this online calculator for Angle Subtended by Radius of Curve for Multi Lane Road, enter Length of Transition Curve (Lc), Radius for Transition Curve (Rtrans) & Center Distance between Road and Inner Lane (d) and hit the calculate button. Here is how the Angle Subtended by Radius of Curve for Multi Lane Road calculation can be explained with given input values -> 14478.22 = (180*180)/(pi*(300-1.2)).

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