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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. Check FAQs
m=Rt-Rtcos(SSD2Rt)
m - Set Back Distance?Rt - Radius of Curve?SSD - Stopping Sight Distance?

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

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Here is how the Set Back Distance by Rational Method (L is greater than S) Single Lane equation looks like with Values.

Here is how the Set Back Distance by Rational Method (L is greater than S) Single Lane equation looks like with Units.

Here is how the Set Back Distance by Rational Method (L is greater than S) Single Lane equation looks like.

10.6036Edit=300Edit-300Editcos(160Edit2300Edit)
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Set Back Distance by Rational Method (L is greater than S) Single Lane Solution

Follow our step by step solution on how to calculate Set Back Distance by Rational Method (L is greater than S) Single Lane?

FIRST Step Consider the formula
m=Rt-Rtcos(SSD2Rt)
Next Step Substitute values of Variables
m=300m-300mcos(160m2300m)
Next Step Prepare to Evaluate
m=300-300cos(1602300)
Next Step Evaluate
m=10.6036064308308m
LAST Step Rounding Answer
m=10.6036m

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

Variables
Functions
Set Back Distance
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.
Symbol: m
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Symbol: Rt
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Stopping Sight Distance
Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Symbol: SSD
Measurement: LengthUnit: m
Note: Value should be greater than 0.
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Set Back Distance

​Go Set Back Distance by Approx Method (L is greater than S)
m=SSD28Rt
​Go Set Back Distance by Approx Method (L is less than S)
m=Lc(2SSD-Lc)8Rt

How to Evaluate 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 evaluator uses Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)) to evaluate 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 evaluate Set Back Distance by Rational Method (L is greater than S) Single Lane using this online evaluator? To use this online evaluator for Set Back Distance by Rational Method (L is greater than S) Single Lane, enter Radius of Curve (Rt) & Stopping Sight Distance (SSD) and hit the calculate button.

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

What is the formula to find Set Back Distance by Rational Method (L is greater than S) Single Lane?
The formula of Set Back Distance by Rational Method (L is greater than S) Single Lane is expressed as Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)). Here is an example- 10.60361 = 300-300*cos((160)/(2*300)).
How to calculate Set Back Distance by Rational Method (L is greater than S) Single Lane?
With Radius of Curve (Rt) & Stopping Sight Distance (SSD) we can find Set Back Distance by Rational Method (L is greater than S) Single Lane using the formula - Set Back Distance = Radius of Curve-Radius of Curve*cos((Stopping Sight Distance)/(2*Radius of Curve)). This formula also uses Cosine (cos) function(s).
What are the other ways to Calculate Set Back Distance?
Here are the different ways to Calculate Set Back Distance-
  • Set Back Distance=Stopping Sight Distance^2/(8*Radius of Curve)OpenImg
  • Set Back Distance=(Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve)OpenImg
Can the Set Back Distance by Rational Method (L is greater than S) Single Lane be negative?
No, the Set Back Distance by Rational Method (L is greater than S) Single Lane, measured in Length cannot be negative.
Which unit is used to measure 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 usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Set Back Distance by Rational Method (L is greater than S) Single Lane can be measured.
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