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

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Design of Transition Curves and Setback Distances

✖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 [α₁]			+10% -10%
✖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.ⓘ Sight Distance [S]			+10% -10%
✖Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.ⓘ Length of Transition Curve [L_c]			+10% -10%

✖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.ⓘ Setback Distance for Single Lane Road where Ls is greater than Lc [m]

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Formula

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

Formula

`"m" = "R"_{"trans"}-"R"_{"trans"}*cos("α"_{"1"}/2)+(("S"-"L"_{"c"})/2)*sin("α"_{"1"}/2)`

Example

`"25.48701m"="300m"-"300m"*cos("90°"/2)+(("3.56m"-"180m")/2)*sin("90°"/2)`

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Setback Distance for Single 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*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 = R_trans-R_trans*cos(α₁/2)+((S-L_c)/2)*sin(α₁/2)
This formula uses 2 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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.
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
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 = R_trans-R_trans*cos(α₁/2)+((S-L_c)/2)*sin(α₁/2) --> 300-300*cos(1.5707963267946/2)+((3.56-180)/2)*sin(1.5707963267946/2)

Evaluating ... ...

m = 25.4870054077363

STEP 3: Convert Result to Output's Unit

25.4870054077363 Meter --> No Conversion Required

FINAL ANSWER

25.4870054077363 ≈ 25.48701 Meter <-- Setback Distance

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Design of Transition Curves and Setback Distances » Setback Distance for Single Lane Road where Ls is greater than Lc

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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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< 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)

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

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 Single Lane Road where Ls is greater than Lc?

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

How to calculate Setback Distance for Single Lane Road where Ls is greater than Lc using this online calculator? To use this online calculator for Setback Distance for Single Lane Road where Ls is greater than Lc, enter Radius for Transition Curve (R_trans), Angle subtended by Radius of Curve for Single Lane (α₁), Sight Distance (S) & Length of Transition Curve (L_c) and hit the calculate button. Here is how the Setback Distance for Single Lane Road where Ls is greater than Lc calculation can be explained with given input values -> 25.48701 = 300-300*cos(1.5707963267946/2)+((3.56-180)/2)*sin(1.5707963267946/2).

FAQ

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

The Setback Distance for Single Lane Road where Ls is greater than Lc formula is defined as 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 and is represented as m = R_trans-R_trans*cos(α₁/2)+((S-L_c)/2)*sin(α₁/2) or 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). Radius for Transition Curve is the radius at the point of transition curve of roadways, 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 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 is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.

How to calculate Setback Distance for Single Lane Road where Ls is greater than Lc?

The Setback Distance for Single Lane Road where Ls is greater than Lc formula is defined as 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 is calculated using 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). To calculate Setback Distance for Single Lane Road where Ls is greater than Lc, you need Radius for Transition Curve (R_trans), Angle subtended by Radius of Curve for Single Lane (α₁), Sight Distance (S) & Length of Transition Curve (L_c). With our tool, you need to enter the respective value for Radius for Transition Curve, Angle subtended by Radius of Curve for Single Lane, Sight Distance & Length of Transition Curve 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 Setback Distance?

In this formula, Setback Distance uses Radius for Transition Curve, Angle subtended by Radius of Curve for Single Lane, Sight Distance & Length of Transition Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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