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GD&T/Perpendicularity


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Andreas,

I will think more about your case after the holidays. Excellent visuals and a great example of an irregular FOS.
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To prevent this thread from running on, I'd like to point out that the initial question was related to a Perpendicularity/Position tolerance, for which we determine a derived median line per Y14.5. My question has been answered.

Andreas - You are correct with your "derived median point cloud" interpretation, though it is not defined as such, but only when referring to Concentricity and Symmetry per Y14.5-2009 and later. These two symbols have been eliminated from Y14.5 in 2018 due to difficulties in computation and the fact that they were largely misused. It is still used today when specified/required for high precision application, and in the same manner that you have laid out, but the general consensus is to avoid it.

I think that about wraps it up unless you are trying to bring this point cloud approach over to Position/Perpendicularity which would be wrong.
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From my point of view: it's not over

If we talk about perpendicularity,the tolerated element is an AXIS.
The axis is a "Center Line" that is derived from the
Maximum Inscribed Cylinder-algorithm. (UAME)
This axis is always perfect straight.
The derived median point line is not perfect straight,
and it is not a feature for perpendicularity!

It's a feature for Concentricity and Symmetry. (and Straightness?)
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Andreas,

I misspoke. In ASME, we use the axis for Perpendicularity and not the derived median line. That is why I always select the (P) option in Calypso, never the derived median line (as is used in ISO).
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Lets add to this question a little. I seem to remember asking this once, but am a little foggy on the true answer. When Calypso is calculating the perpendicularity, does it take into account the nominal length to the entire cylinder, or just the measured data?
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