Learn how to calculate Helix Circumference, Length, Unit Rise, and Handrail Radius – Tutorial

How to calculate Helix Circumference, Length, Unit Rise, and Handrail Radius - Definition, Formula and Example

Definition:

Helix is a type of curve in three-dimensional space formed by a straight line drawn on a plane. The curve can become a straight line if the surface were unrolled into a plane, with the distance to the apex is an exponential function of the angle indicating direction from the axis. Helix is also called as 'Helices', 'helixes'.

helix
Formula:
Circumference = 2πr h = (height of helix x 360) / angle Length = √h2 + circumference2 Unit Rise = h / circumference Handrail Radius = (4π2r2 + h2) / 4π2r
where,

π = 3.1415926 r = Radius h = Height required for Helix to complete one revolution

Example :

For example, consider that an antenna is constructed in XF7 using the helix script. It will expand along the Z-axis and will have a radius of 50 cm. In addition, height of the helix curve is 2 cm and the angle made by the curve is 360.Calculate the circumference, length, handrail radius of the curve.

Given,

Radius = 50, Height = 2, Angle = 360

To Find,

Circumference Height (h) Length Unit Rise Handrail Radius

Solution:

Let us calculate the circumference, length, handrail radius of the helix curve.

Step 1:

Let us first calculate the value of circumference.

Circumference = 2πr
= (2 x 3.1415926 x 50)
= 314.15926
Step 2:

Calculate the value of height by substituting the values in the formula,

h = (height of helix x 360) / angle
= (2 x 360) / 360
= 2
Step 3:

Calculate the length of helix by substituting the values in the formula,

Length = √h2 + circumference2
= √22 + 314.159262
= √4 + 98696.04064
= 314.1656
Step 4:

Find the value of Unit Rise.

Unit Rise = h / circumference
= 2 / 314.15926
= 0.00637
Step 5:

Finally, let us calculate the handrail radius of the helix curve,

Handrail Radius = (4π2r2 + h2) / 4π2r
= ((4 x 3.14159262 x 502) + 22) / (4 x 3.14159262 x 50))
= (98696.040643748 + 4) / 1973.920812875)
= 50.00203

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