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

STEP 0: Pre-Calculation Summary
Formula Used
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)
m = Rtrans-(Rtrans-d)*cos(α1/2)+((S-Lc)/2)*sin(α1/2)
This formula uses 2 Functions, 6 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Setback Distance - (Measured in Meter) - Setback 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.
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.
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.
Sight Distance - (Measured in Meter) - Sight Distance is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
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.
STEP 1: Convert Input(s) to Base Unit
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
Angle subtended by Radius of Curve for Single Lane: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Sight Distance: 3.56 Meter --> 3.56 Meter No Conversion Required
Length of Transition Curve: 180 Meter --> 180 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = Rtrans-(Rtrans-d)*cos(α1/2)+((S-Lc)/2)*sin(α1/2) --> 300-(300-1.2)*cos(1.5707963267946/2)+((3.56-180)/2)*sin(1.5707963267946/2)
Evaluating ... ...
m = 26.3355335451603
STEP 3: Convert Result to Output's Unit
26.3355335451603 Meter --> No Conversion Required
26.3355335451603 26.33553 Meter <-- Setback Distance
(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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## < 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)

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

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)
m = Rtrans-(Rtrans-d)*cos(α1/2)+((S-Lc)/2)*sin(α1/2)

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

Setback Distance for Multi Lane Road where Ls is greater than Lc calculator uses 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) to calculate the Setback Distance, The Setback Distance for Multi Lane Road where Ls is greater than Lc formula is defined as 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. Setback Distance is denoted by m symbol.

How to calculate Setback Distance for Multi Lane Road where Ls is greater than Lc using this online calculator? To use this online calculator for Setback Distance for Multi Lane Road where Ls is greater than Lc, enter Radius for Transition Curve (Rtrans), Center Distance between Road and Inner Lane (d), Angle subtended by Radius of Curve for Single Lane 1), Sight Distance (S) & Length of Transition Curve (Lc) and hit the calculate button. Here is how the Setback Distance for Multi Lane Road where Ls is greater than Lc calculation can be explained with given input values -> 26.33553 = 300-(300-1.2)*cos(1.5707963267946/2)+((3.56-180)/2)*sin(1.5707963267946/2).

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