How to Calculate the Wire Harness Bundle Size

When calculating the size of a bundle of wires, you are looking to calculate the diameter of the bundle more than anything else. This calculation will help you decide where the cable can fit or what kind of hole needs to be drilled to accommodate the wires. Once assembled, calculating the diameter might be as easy as measuring it; however, if you need an estimate diameter before the wires are assembled, then you have to use a more involved technique.

Calculate the diameter of a bundle of wires.

Step 1

Measure or reference the diameter of one of the wires. This measurement will probably be in millimeters.

Step 2

Calculate the cross-section area of that one wire using the area formula for a circle, i.e., area equals the square of the diameter multiplied by 3.14 (pi) divided by four. As an example, a 2 mm wire would have an area of 3.14 square mm because 2 x 2 x 3.14 divided by 4 = 3.14.

Step 3

Count the number of wires in the bundle.

Step 4

Multiply the number of wires by the area of one wire. This will give you the total area. To continue the example, suppose you had 30 same-size wires. The total area would be 94.2 square mm. Note that this procedure assumes all wires are of equal size. If they are not, you would simply follow the area calculations for each size of wire, i.e., calculate one wire's area and multiply it by the number of equal-sized wires. Finally, you would add all the areas together to compute the total area.

Step 5

Calculate the diameter of the bundle by using the same area formula, modified to solve for diameter: Diameter = square root (4 area / 3.14) In the example: Diameter = square root (4 94.2 / 3.14) Diameter = square root (120) Diameter = 10.95 mm

C. Taylor

C. Taylor embarked on a professional writing career in 2009 and frequently writes about technology, science, business, finance, martial arts and the great outdoors. He writes for both online and offline publications, including the Journal of Asian Martial Arts, Samsung, Radio Shack, Motley Fool, Chron, Synonym and more. He received a Master of Science degree in wildlife biology from Clemson University and a Bachelor of Arts in biological sciences at College of Charleston. He also holds minors in statistics, physics and visual arts.