✖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.ⓘ Radius of Curve [R_t]			+10% -10%
✖Stopping Sight Distance is defined as distance provided on the road before a sharp turn.ⓘ Stopping Sight Distance [SSD]			+10% -10%

✖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.ⓘ Set Back Distance by Rational Method (L is greater than S) Single Lane [m]

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Formula

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Set Back Distance by Rational Method (L is greater than S) Single Lane

Formula

`"m" = "R"_{"t"}-"R"_{"t"}*cos(("SSD")/(2*"R"_{"t"}))`

Example

`"10.60361m"="300m"-"300m"*cos(("160m")/(2*"300m"))`

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Set Back Distance by Rational Method (L is greater than S) Single Lane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve))
m = R_t-R_t*cos((SSD)/(2*R_t))
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

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.
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.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.

STEP 1: Convert Input(s) to Base Unit

Radius of Curve: 300 Meter --> 300 Meter No Conversion Required
Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = R_t-R_t*cos((SSD)/(2*R_t)) --> 300-300*cos((160)/(2*300))

Evaluating ... ...

m = 10.6036064308308

STEP 3: Convert Result to Output's Unit

10.6036064308308 Meter --> No Conversion Required

FINAL ANSWER

10.6036064308308 ≈ 10.60361 Meter <-- Set Back Distance

(Calculation completed in 00.004 seconds)

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R V College of Engineering (RVCE), Bangalore

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< 3 Set Back Distance and curve Resistance Calculators

Set Back Distance by Rational Method (L is greater than S) Single Lane

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)

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)

Go Set Back Distance = Stopping Sight Distance^2/(8*Radius of Curve)

Set Back Distance by Rational Method (L is greater than S) Single Lane Formula

Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve))
m = R_t-R_t*cos((SSD)/(2*R_t))

What is the 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 Rational Method (L is greater than S) Single Lane?

Set Back Distance by Rational Method (L is greater than S) Single Lane calculator uses Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)) to calculate the Set Back Distance, Set Back Distance by Rational Method (L is greater than S) Single Lane 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 length of the curve is more than sight distance. Set Back Distance is denoted by m symbol.

How to calculate Set Back Distance by Rational Method (L is greater than S) Single Lane using this online calculator? To use this online calculator for Set Back Distance by Rational Method (L is greater than S) Single Lane, enter Radius of Curve (R_t) & Stopping Sight Distance (SSD) and hit the calculate button. Here is how the Set Back Distance by Rational Method (L is greater than S) Single Lane calculation can be explained with given input values -> 10.60361 = 300-300*cos((160)/(2*300)).

FAQ

What is Set Back Distance by Rational Method (L is greater than S) Single Lane?

Set Back Distance by Rational Method (L is greater than S) Single Lane 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 length of the curve is more than sight distance and is represented as m = R_t-R_t*cos((SSD)/(2*R_t)) or Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)). 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 & Stopping Sight Distance is defined as distance provided on the road before a sharp turn.

How to calculate Set Back Distance by Rational Method (L is greater than S) Single Lane?

Set Back Distance by Rational Method (L is greater than S) Single Lane 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 length of the curve is more than sight distance is calculated using Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)). To calculate Set Back Distance by Rational Method (L is greater than S) Single Lane, you need Radius of Curve (R_t) & Stopping Sight Distance (SSD). With our tool, you need to enter the respective value for Radius of Curve & Stopping Sight Distance 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 Radius of Curve & Stopping Sight Distance. 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 = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve)

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