How to calculate concentricity

Written by paul dohrman
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How to calculate concentricity
Concentric Circles Have the Same Center; Left Circles Are Concentric (Author)

In geometry, concentricity is the quality of embedded circles having the same centre. In industry, concentricity is a measure of constancy of tube or pipe wall thickness. Such constancy is desirable for different reasons in different situations. Evenness of wall thickness is desirable for integrity if pressure will be applied to the tubing. If the tubing needs to be spun, variation in wall thickness can cause shimmy.

The formula for calculating concentricity is simple. The difficult part is making sure the survey of the varying thickness of the piping wall is comprehensive enough.

How to calculate concentricity
Dotted Lines Mark Thickest and Thinnest Wall Cross-sections

Find the thickest and thinnest points of wall tubing thickness.

For example, in the diagram, the dotted lines mark the cross sections of thinnest and thickest wall. If need be, these points can done by trial and error, using a micrometer. If you know how to use one, try doing so with an optical comparator.

Measure the thickness at these points. The measurement can be taken with a micrometer.

How to calculate concentricity
Formula For Calculating Concentricity

Use the following formula in the diagram to calculate the concentricity: C = Wmin/Wmax --- 100%.

Wmin is the minimum width. Wmax is the maximum width. C is a per cent. 100% means the tubing is fully concentric.

Compare C from Step 3 with any quality control tolerance that was predetermined. Do this to decide if the level of concentricity is sufficient.

For example, suppose that the tolerance is 70%. Concentricity is not allowed to go below this tolerance. Suppose that Wmin is 0.25mm and Wmax is 0.30mm. Then C = 83%, the tolerance is met, and the tube is deemed sufficiently concentric.

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