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Degree of Curve in Railways Formula

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Degree of curve for railways is the central angle subtended by the curve length of the railways. Check FAQs

D c = (\frac{1720}{R}) \cdot (\frac{π}{180})

D_c - Degree of Curve for Railways?R - Radius of Curve?π - Archimedes' constant?

Degree of Curve in Railways Example

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Here is how the Degree of Curve in Railways equation looks like with Values.

Here is how the Degree of Curve in Railways equation looks like with Units.

Here is how the Degree of Curve in Railways equation looks like.

5 = (\frac{1720}{344}) \cdot (\frac{3.1416}{180})

5° = (\frac{1720}{344m}) \cdot (\frac{3.1416}{180})

5 = (\frac{1720}{344}) \cdot (\frac{3.1416}{180})

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Degree of Curve in Railways Solution

Follow our step by step solution on how to calculate Degree of Curve in Railways?

FIRST Step Consider the formula

D c = (\frac{1720}{R}) \cdot (\frac{π}{180})

Next Step Substitute values of Variables

∴

D c = (\frac{1720}{344m}) \cdot (\frac{π}{180})

Next Step Substitute values of Constants

∴

D c = (\frac{1720}{344m}) \cdot (\frac{3.1416}{180})

Next Step Prepare to Evaluate

∴

D c = (\frac{1720}{344}) \cdot (\frac{3.1416}{180})

Next Step Evaluate

∴

D c = 0.0872664625997165rad

Next Step Convert to Output's Unit

∴

D c = 5.00000000000094°

LAST Step Rounding Answer

∴

D c = 5°

Degree of Curve in Railways Formula Elements

Variables

Constants

Degree of Curve for Railways

Degree of curve for railways is the central angle subtended by the curve length of the railways.

Symbol: D_c

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Degree of Curve for Railways

Radius of Curve

Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Geometric Design of Railway Track category

Go Radius for given Degree of Curve in Railways

R = (\frac{1720}{D c}) \cdot (\frac{π}{180})

Go Equilibrium Cant in Railways

e eq = G \cdot \frac{V^{2}}{127 \cdot R}

Go Equilibrium Cant for BG

e bg = 1.676 \cdot \frac{V^{2}}{127 \cdot R}

Go Equilibrium Cant for MG

e mg = 1.000 \cdot \frac{V^{2}}{127 \cdot R}

How to Evaluate Degree of Curve in Railways?

Degree of Curve in Railways evaluator uses Degree of Curve for Railways = (1720/Radius of Curve)*(pi/180) to evaluate the Degree of Curve for Railways, Degree of Curve in Railways is defined as the central angle subtended by the curve length of the railways. Degree of Curve for Railways is denoted by D_c symbol.

How to evaluate Degree of Curve in Railways using this online evaluator? To use this online evaluator for Degree of Curve in Railways, enter Radius of Curve (R) and hit the calculate button.

FAQs on Degree of Curve in Railways

What is the formula to find Degree of Curve in Railways?

The formula of Degree of Curve in Railways is expressed as Degree of Curve for Railways = (1720/Radius of Curve)*(pi/180). Here is an example- 286.4789 = (1720/344)*(pi/180).

How to calculate Degree of Curve in Railways?

With Radius of Curve (R) we can find Degree of Curve in Railways using the formula - Degree of Curve for Railways = (1720/Radius of Curve)*(pi/180). This formula also uses Archimedes' constant .

Can the Degree of Curve in Railways be negative?

No, the Degree of Curve in Railways, measured in Angle cannot be negative.

Which unit is used to measure Degree of Curve in Railways?

Degree of Curve in Railways is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Degree of Curve in Railways can be measured.

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