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Radius of Curve given Tangent offset for Chord of Length Formula

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GoRadius of Curve Formula

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

R c = \frac{{L c}^{2}}{2 \cdot a}

R_c - Radius of Circular Curve?L_c - Length of Curve?a - Tangent Offset?

Radius of Curve given Tangent offset for Chord of Length Example

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Here is how the Radius of Curve given Tangent offset for Chord of Length equation looks like with Values.

Here is how the Radius of Curve given Tangent offset for Chord of Length equation looks like with Units.

Here is how the Radius of Curve given Tangent offset for Chord of Length equation looks like.

130.6667 = \frac{140^{2}}{2 \cdot 75}

130.6667m = \frac{{140m}^{2}}{2 \cdot 75m}

130.6667 = \frac{140^{2}}{2 \cdot 75}

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Radius of Curve given Tangent offset for Chord of Length Solution

Follow our step by step solution on how to calculate Radius of Curve given Tangent offset for Chord of Length?

FIRST Step Consider the formula

R c = \frac{{L c}^{2}}{2 \cdot a}

Next Step Substitute values of Variables

∴

R c = \frac{{140m}^{2}}{2 \cdot 75m}

Next Step Prepare to Evaluate

∴

R c = \frac{140^{2}}{2 \cdot 75}

Next Step Evaluate

∴

R c = 130.666666666667m

LAST Step Rounding Answer

∴

R c = 130.6667m

Radius of Curve given Tangent offset for Chord of Length Formula Elements

Variables

Radius of Circular Curve

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

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Curve

Length of Curve

Length of curve is defined as the arc length in a parabolic curves.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Curve

Tangent Offset

Tangent offset can be described as the offsets to circular curve.

Symbol: a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tangent Offset

Other Formulas to find Radius of Circular Curve

Go Radius of Curve using Degree of Curve

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve

R c = \frac{5729.578}{D \cdot (\frac{180}{π})}

Go Radius of Curve Exact for Chord

R c = \frac{50}{\sin (\frac{1}{2}) \cdot (D)}

Go Radius of Curve using Tangent Distance

R c = \frac{T}{\sin (\frac{1}{2}) \cdot (I)}

Other formulas in Circular Curves on Highways and Roads category

Go Exact Tangent Distance

T = R c \cdot \tan (\frac{1}{2}) \cdot I

Go Degree of Curve for given Radius of Curve

D = (\frac{5729.578}{R c}) \cdot (\frac{π}{180})

Go Central Angle of Curve for given Tangent Distance

I = (\frac{T}{\sin (\frac{1}{2}) \cdot R c})

Go External Distance

E = R c \cdot ((\sec (\frac{1}{2}) \cdot I \cdot (\frac{180}{π})) - 1)

How to Evaluate Radius of Curve given Tangent offset for Chord of Length?

Radius of Curve given Tangent offset for Chord of Length evaluator uses Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset) to evaluate the Radius of Circular Curve, The Radius of Curve given Tangent offset for Chord of Length can be defined as the the absolute value of the reciprocal of the curvature at a point on a curve. Radius of Circular Curve is denoted by R_c symbol.

How to evaluate Radius of Curve given Tangent offset for Chord of Length using this online evaluator? To use this online evaluator for Radius of Curve given Tangent offset for Chord of Length, enter Length of Curve (L_c) & Tangent Offset (a) and hit the calculate button.

FAQs on Radius of Curve given Tangent offset for Chord of Length

What is the formula to find Radius of Curve given Tangent offset for Chord of Length?

The formula of Radius of Curve given Tangent offset for Chord of Length is expressed as Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset). Here is an example- 130.6667 = 140^2/(2*75).

How to calculate Radius of Curve given Tangent offset for Chord of Length?

With Length of Curve (L_c) & Tangent Offset (a) we can find Radius of Curve given Tangent offset for Chord of Length using the formula - Radius of Circular Curve = Length of Curve^2/(2*Tangent Offset).

What are the other ways to Calculate Radius of Circular Curve?

Here are the different ways to Calculate Radius of Circular Curve-

Radius of Circular Curve=50/(sin(1/2)*(Degree of Curve))
Radius of Circular Curve=5729.578/(Degree of Curve*(180/pi))
Radius of Circular Curve=50/(sin(1/2)*(Degree of Curve))

Can the Radius of Curve given Tangent offset for Chord of Length be negative?

No, the Radius of Curve given Tangent offset for Chord of Length, measured in Length cannot be negative.

Which unit is used to measure Radius of Curve given Tangent offset for Chord of Length?

Radius of Curve given Tangent offset for Chord of Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Curve given Tangent offset for Chord of Length can be measured.

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Radius of Curve given Tangent offset for Chord of Length Formula

​GoRadius of Curve using Degree of Curve Formula

​GoRadius of Curve Formula

Radius of Curve given Tangent offset for Chord of Length Example

Radius of Curve given Tangent offset for Chord of Length Solution

Radius of Curve given Tangent offset for Chord of Length Formula Elements

Other Formulas to find Radius of Circular Curve

Other formulas in Circular Curves on Highways and Roads category

How to Evaluate Radius of Curve given Tangent offset for Chord of Length?

FAQs on Radius of Curve given Tangent offset for Chord of Length

Variable Name

GoRadius of Curve using Degree of Curve Formula

GoRadius of Curve Formula