Setback Distance where Ls is Smaller than Lc Calculator

⤿

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%

✖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 where Ls is Smaller than Lc [m]

⎘ Copy

👎

Formula

✖

Setback Distance where Ls is Smaller than Lc

Formula

`"m" = "R"_{"trans"}-"R"_{"trans"}*cos("α"_{"1"}/2)`

Example

`"87.86797m"="300m"-"300m"*cos("90°"/2)`

Calculator

LaTeX

Reset

👍

Download Transportation System Formula PDF PDF Image

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 = R_trans-R_trans*cos(α₁/2)
This formula uses 1 Functions, 3 Variables

Functions Used

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.

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 = R_trans-R_trans*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

FINAL ANSWER

87.8679656440043 ≈ 87.86797 Meter <-- Setback Distance

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Transportation System » Design of Transition Curves and Setback Distances » Setback Distance where Ls is Smaller than Lc

Credits

Created by Avayjit Das

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

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 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 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 = R_trans-R_trans*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 (R_trans) & Angle subtended by Radius of Curve for Single Lane (α₁) 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 = R_trans-R_trans*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 (R_trans) & Angle subtended by Radius of Curve for Single Lane (α₁). 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)

Home

FREE PDFs

🔍 Search