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Setback Distance where Ls is Smaller than Lc Formula

GoSetback Distance for Single Lane Road where Ls is greater than Lc Formula

GoSetback Distance for Multi Lane Road where Ls is greater than Lc Formula

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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. Check FAQs

m = R trans - R trans \cdot \cos (\frac{α 1}{2})

m - Setback Distance?R_trans - Radius for Transition Curve?α₁ - Angle subtended by Radius of Curve for Single Lane?

Setback Distance where Ls is Smaller than Lc Example

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Here is how the Setback Distance where Ls is Smaller than Lc equation looks like with Values.

Here is how the Setback Distance where Ls is Smaller than Lc equation looks like with Units.

Here is how the Setback Distance where Ls is Smaller than Lc equation looks like.

87.868 = 300 - 300 \cdot \cos (\frac{90}{2})

87.868m = 300m - 300m \cdot \cos (\frac{90°}{2})

87.868 = 300 - 300 \cdot \cos (\frac{90}{2})

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Setback Distance where Ls is Smaller than Lc Solution

Follow our step by step solution on how to calculate Setback Distance where Ls is Smaller than Lc?

FIRST Step Consider the formula

m = R trans - R trans \cdot \cos (\frac{α 1}{2})

Next Step Substitute values of Variables

∴

m = 300m - 300m \cdot \cos (\frac{90°}{2})

Next Step Convert Units

∴

m = 300m - 300m \cdot \cos (\frac{1.5708rad}{2})

Next Step Prepare to Evaluate

∴

m = 300 - 300 \cdot \cos (\frac{1.5708}{2})

Next Step Evaluate

∴

m = 87.8679656440043m

LAST Step Rounding Answer

∴

m = 87.868m

Setback Distance where Ls is Smaller than Lc Formula Elements

Variables

Functions

Setback Distance

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.

Symbol: m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Setback Distance

Radius for Transition Curve

Radius for Transition Curve is the radius at the point of transition curve of roadways.

Symbol: R_trans

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius for Transition Curve

Angle subtended by Radius of Curve for Single Lane

Angle subtended by Radius of Curve for Single Lane is the angle formed by radius of curve where Ls is less than Lc.

Symbol: α₁

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle subtended by Radius of Curve for Single Lane

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 Setback Distance

Go Setback Distance for Single Lane Road where Ls is greater than Lc

m = R trans - R trans \cdot \cos (\frac{α 1}{2}) + (\frac{S - L c}{2}) \cdot \sin (\frac{α 1}{2})

Go Setback Distance for Multi Lane Road where Ls is greater than Lc

m = R trans - (R trans - d) \cdot \cos (\frac{α 1}{2}) + (\frac{S - L c}{2}) \cdot \sin (\frac{α 1}{2})

Other formulas in Design of Transition Curves and Setback Distances category

Go Rate of Change of Centrifugal Acceleration

C = \frac{{v vehicle}^{3}}{L c \cdot R trans}

Go Length of Transition Curve given Centrifugal Acceleration

L c = \frac{{v vehicle}^{3}}{C \cdot R trans}

Go Rate of Change of Centrifugal Acceleration given Empirical Formula

C = \frac{80}{75 + 3.6 \cdot v vehicle}

Go Length of Transition Curve given Super-Elevation

L c = N \cdot e \cdot (W e + W)

How to Evaluate Setback Distance where Ls is Smaller than Lc?

Setback Distance where Ls is Smaller than Lc evaluator uses Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2) to evaluate the Setback Distance, Setback Distance where Ls is Smaller than Lc formula is defined as a method to determine the distance required for a transition curve to settle into a circular curve, ensuring a smooth and safe transition for vehicles, particularly in railway and highway design. Setback Distance is denoted by m symbol.

How to evaluate Setback Distance where Ls is Smaller than Lc using this online evaluator? To use this online evaluator 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.

FAQs on Setback Distance where Ls is Smaller than Lc

What is the formula to find Setback Distance where Ls is Smaller than Lc?

The formula of Setback Distance where Ls is Smaller than Lc is expressed as Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2). Here is an example- 10.22225 = 300-300*cos(1.5707963267946/2).

How to calculate Setback Distance where Ls is Smaller than Lc?

With Radius for Transition Curve (R_trans) & Angle subtended by Radius of Curve for Single Lane (α₁) we can find Setback Distance where Ls is Smaller than Lc using the formula - Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Setback Distance?

Here are the different ways to Calculate Setback Distance-

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)

Can the Setback Distance where Ls is Smaller than Lc be negative?

No, the Setback Distance where Ls is Smaller than Lc, measured in Length cannot be negative.

Which unit is used to measure Setback Distance where Ls is Smaller than Lc?

Setback Distance where Ls is Smaller than Lc is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Setback Distance where Ls is Smaller than Lc can be measured.

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Setback Distance where Ls is Smaller than Lc Formula

​GoSetback Distance for Single Lane Road where Ls is greater than Lc Formula

​GoSetback Distance for Multi Lane Road where Ls is greater than Lc Formula

Setback Distance where Ls is Smaller than Lc Example

Setback Distance where Ls is Smaller than Lc Solution

Setback Distance where Ls is Smaller than Lc Formula Elements

Other Formulas to find Setback Distance

Other formulas in Design of Transition Curves and Setback Distances category

How to Evaluate Setback Distance where Ls is Smaller than Lc?

FAQs on Setback Distance where Ls is Smaller than Lc

Variable Name

GoSetback Distance for Single Lane Road where Ls is greater than Lc Formula

GoSetback Distance for Multi Lane Road where Ls is greater than Lc Formula