Set Back Distance by Approx Method (L is less than S) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve)
m = (Lc*(2*SSD-Lc))/(8*Rt)
This formula uses 4 Variables
Variables Used
Set Back Distance - (Measured in Meter) - Set back 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.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Radius of Curve - (Measured in Meter) - The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.
STEP 1: Convert Input(s) to Base Unit
Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required
Radius of Curve: 300 Meter --> 300 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = (Lc*(2*SSD-Lc))/(8*Rt) --> (140*(2*160-140))/(8*300)
Evaluating ... ...
m = 10.5
STEP 3: Convert Result to Output's Unit
10.5 Meter --> No Conversion Required
FINAL ANSWER
10.5 Meter <-- Set Back Distance
(Calculation completed in 00.020 seconds)

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R V College of Engineering (RVCE), Bangalore
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Set Back Distance and curve Resistance Calculators

Set Back Distance by Rational Method (L is greater than S) Single Lane
​ LaTeX ​ Go Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve))
Set Back Distance by Approx Method (L is less than S)
​ LaTeX ​ Go Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve)
Set Back Distance by Approx Method (L is greater than S)
​ LaTeX ​ Go Set Back Distance = Stopping Sight Distance^2/(8*Radius of Curve)

Set Back Distance by Approx Method (L is less than S) Formula

​LaTeX ​Go
Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve)
m = (Lc*(2*SSD-Lc))/(8*Rt)

What is setback distance?

The setback distance is the distance required from the center line of horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve.

What are the factors affecting setback distance?

Factors affecting setback distance are as follows
1. Sight distance desired
2. Length of Curve
3. Radius of horizontal curve

How to Calculate Set Back Distance by Approx Method (L is less than S)?

Set Back Distance by Approx Method (L is less than S) calculator uses Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve) to calculate the Set Back Distance, Set Back Distance by Approx Method (L is less than S) 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 when the length of the curve is less than sight distance. Set Back Distance is denoted by m symbol.

How to calculate Set Back Distance by Approx Method (L is less than S) using this online calculator? To use this online calculator for Set Back Distance by Approx Method (L is less than S), enter Length of Curve (Lc), Stopping Sight Distance (SSD) & Radius of Curve (Rt) and hit the calculate button. Here is how the Set Back Distance by Approx Method (L is less than S) calculation can be explained with given input values -> 10.5 = (140*(2*160-140))/(8*300).

FAQ

What is Set Back Distance by Approx Method (L is less than S)?
Set Back Distance by Approx Method (L is less than S) 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 when the length of the curve is less than sight distance and is represented as m = (Lc*(2*SSD-Lc))/(8*Rt) or Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve). Length of curve is defined as the arc length in a parabolic curves, Stopping Sight Distance is defined as distance provided on the road before a sharp turn & The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.
How to calculate Set Back Distance by Approx Method (L is less than S)?
Set Back Distance by Approx Method (L is less than S) 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 when the length of the curve is less than sight distance is calculated using Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve). To calculate Set Back Distance by Approx Method (L is less than S), you need Length of Curve (Lc), Stopping Sight Distance (SSD) & Radius of Curve (Rt). With our tool, you need to enter the respective value for Length of Curve, Stopping Sight Distance & Radius of 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 Set Back Distance?
In this formula, Set Back Distance uses Length of Curve, Stopping Sight Distance & Radius of Curve. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Set Back Distance = Stopping Sight Distance^2/(8*Radius of Curve)
  • Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve))
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