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Angle Subtended by Radius of Curve for Single Lane Road Calculator

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✖Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.ⓘ Shift [s]			+10% -10%
✖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 Road [α₁]

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Angle Subtended by Radius of Curve for Single Lane Road Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)
α₁ = (180*s)/(pi*R_trans)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Shift - (Measured in Meter) - Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.
Radius for Transition Curve - (Measured in Meter) - Radius for Transition Curve is the radius at the point of transition curve of roadways.

STEP 1: Convert Input(s) to Base Unit

Shift: 3 Meter --> 3 Meter No Conversion Required
Radius for Transition Curve: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α₁ = (180*s)/(pi*R_trans) --> (180*3)/(pi*300)

Evaluating ... ...

α₁ = 0.572957795130823

STEP 3: Convert Result to Output's Unit

0.572957795130823 Radian -->32.8280635001236 Degree (Check conversion here)

FINAL ANSWER

32.8280635001236 ≈ 32.82806 Degree <-- Angle subtended by Radius of Curve for Single Lane

(Calculation completed in 00.004 seconds)

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< Design of Transition Curves and Setback Distances Calculators

Length of Transition Curve given Super-Elevation

LaTeX Go Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)

Length of Transition Curve given Centrifugal Acceleration

LaTeX Go Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)

Rate of Change of Centrifugal Acceleration

LaTeX Go Rate of Change of Centrifugal Acceleration = Velocity^3/(Length of Transition Curve*Radius for Transition Curve)

Rate of Change of Centrifugal Acceleration given Empirical Formula

LaTeX Go Rate of Change of Centrifugal Acceleration = 80/(75+3.6*Velocity)

Angle Subtended by Radius of Curve for Single Lane Road Formula

LaTeX Go

Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)
α₁ = (180*s)/(pi*R_trans)

What is Setback Distance?

Setback distance m or the clearance 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.

How to Calculate Angle Subtended by Radius of Curve for Single Lane Road?

Angle Subtended by Radius of Curve for Single Lane Road calculator uses Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve) to calculate the Angle subtended by Radius of Curve for Single Lane, Angle Subtended by Radius of Curve for Single Lane Road formula is defined as a measure of the angle formed by the radius of a curve on a single lane road, which is essential in designing transition curves and setback distances to ensure smooth and safe traffic flow. Angle subtended by Radius of Curve for Single Lane is denoted by α₁ symbol.

How to calculate Angle Subtended by Radius of Curve for Single Lane Road using this online calculator? To use this online calculator for Angle Subtended by Radius of Curve for Single Lane Road, enter Shift (s) & Radius for Transition Curve (R_trans) and hit the calculate button. Here is how the Angle Subtended by Radius of Curve for Single Lane Road calculation can be explained with given input values -> 1880.909 = (180*3)/(pi*300).

FAQ

What is Angle Subtended by Radius of Curve for Single Lane Road?

Angle Subtended by Radius of Curve for Single Lane Road formula is defined as a measure of the angle formed by the radius of a curve on a single lane road, which is essential in designing transition curves and setback distances to ensure smooth and safe traffic flow and is represented as α₁ = (180*s)/(pi*R_trans) or Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve). Shift is the distance by which the curve moves in order to accommodate the shape of transition curve & Radius for Transition Curve is the radius at the point of transition curve of roadways.

How to calculate Angle Subtended by Radius of Curve for Single Lane Road?

Angle Subtended by Radius of Curve for Single Lane Road formula is defined as a measure of the angle formed by the radius of a curve on a single lane road, which is essential in designing transition curves and setback distances to ensure smooth and safe traffic flow is calculated using Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve). To calculate Angle Subtended by Radius of Curve for Single Lane Road, you need Shift (s) & Radius for Transition Curve (R_trans). With our tool, you need to enter the respective value for Shift & Radius for Transition Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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