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How get degree of curvature?

Updated: 7/10/2023
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Wiki User

14y ago

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The degree of curvature measures how much a curve deviates from a straight line. It is commonly used in mathematics, engineering, and surveying. Two common methods are the circular curve method and differential geometry. The circular curve method determines the degree of curvature by measuring the central angle subtended by a 100-foot arc along the curve. The differential geometry approach calculates the curvature at each point on the curve and integrates these values to find the total degree of curvature. The specific method used depends on the field and context. Consult relevant resources or experts for detailed instructions.

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sumitearya0011

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9mo ago
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Wiki User

14y ago

First, divide 180 by pi (3.14159).
Multiply that answer by 100.
You should have approximately 5729.5779514.
This result we will refer to as the Circular Ratio.

Divide the Circular Ratio by the Radius of the curve.
The answer is The Degree Of Curvature for that curve.

Graphically: measure the angle it takes to make a curve 100 feet long.
That angle is The Degree Of Curvature for that curve.

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Tman King

Lvl 4
1y ago

The degree of curvature is a measure used in surveying and civil engineering to describe the amount of curve in a roadway or other infrastructure. Here's how to calculate the degree of curvature:

First, measure the radius of the curve in feet. The radius is the distance from the center of the curve to the center of the roadway.

Calculate the chord length of the curve. The chord length is the distance between the endpoints of the curve.

Use the formula D = 2 x R x tan(C/2), where D is the degree of curvature, R is the radius in feet, and C is the central angle of the curve in degrees. To calculate C, divide the chord length by the radius and then take the inverse tangent of the result (i.e., C = 2 x atan(chord length / 2 x radius)).

Convert the result to the desired units. The degree of curvature is usually expressed in degrees per 100 feet of roadway. To convert from radians to degrees, multiply the result by 57.296.
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