## Setback Distance where Ls is Smaller 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)
m = Rtrans-Rtrans*cos(α1/2)
This formula uses 1 Functions, 3 Variables
Functions Used
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.
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.
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = Rtrans-Rtrans*cos(α1/2) --> 300-300*cos(1.5707963267946/2)
Evaluating ... ...
m = 87.8679656440043
STEP 3: Convert Result to Output's Unit
87.8679656440043 Meter --> No Conversion Required
87.8679656440043 87.86797 Meter <-- Setback Distance
(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)

## Setback Distance where Ls is Smaller than Lc Formula

Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)
m = Rtrans-Rtrans*cos(α1/2)

## What is the setback distance of the NH181 road and the building?

The setback distance requirements for buildings along the NH181 road are determined by the National Highways Authority of India (NHAI), which is responsible for the construction and maintenance of the roadway. According to the NHAI guidelines, the setback distance for buildings located along the NH181 road is 50 meters from the center of the roadway.

## How to Calculate Setback Distance where Ls is Smaller than Lc?

Setback Distance where Ls is Smaller 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) to calculate the Setback Distance, The Setback Distance where Ls is Smaller than Lc formula is defined as 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 where Ls is Smaller than Lc using this online calculator? To use this online calculator for Setback Distance where Ls is Smaller than Lc, enter Radius for Transition Curve (Rtrans) & Angle subtended by Radius of Curve for Single Lane 1) and hit the calculate button. Here is how the Setback Distance where Ls is Smaller than Lc calculation can be explained with given input values -> 10.22225 = 300-300*cos(1.5707963267946/2).

### FAQ

What is Setback Distance where Ls is Smaller than Lc?
The Setback Distance where Ls is Smaller than Lc formula is defined as 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 = Rtrans-Rtrans*cos(α1/2) or Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(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.
How to calculate Setback Distance where Ls is Smaller than Lc?
The Setback Distance where Ls is Smaller than Lc formula is defined as 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). To calculate Setback Distance where Ls is Smaller than Lc, you need Radius for Transition Curve (Rtrans) & Angle subtended by Radius of Curve for Single Lane 1). With our tool, you need to enter the respective value for Radius for Transition Curve & Angle subtended by Radius of Curve for Single Lane 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. 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)+((Sight Distance-Length of Transition Curve)/2)*sin(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) Let Others Know