If the radius of a simple circular curve is r then the length of the c...
Calculation of Offset using Method of Chords
Introduction
The method of chords is a widely used method for calculating offsets on a simple circular curve. It involves using the chord produced by two points on the curve to calculate the offset at a specific point on the curve.
Formula for Length of Code
The length of the code for calculating the offset using the method of chords should not exceed
R/20, where R is the radius of the curve.
Explanation
The method of chords involves dividing the curve into a number of equal chord lengths. The offset at any point on the curve is then calculated by using the chord produced by two points on the curve that are on either side of the point. The length of the chord is proportional to the radius of the curve, and the length of the offset is proportional to the square of the chord length.
Therefore, to ensure accurate calculations, the chord length should not be too long. A maximum chord length of R/20 ensures that the error in the calculation of the offset is less than 1% of the radius of the curve.
Conclusion
In conclusion, the length of the code for calculating the offset using the method of chords should not exceed R/20. This ensures accurate calculations and minimizes errors in the offset calculation.