Say Hello to Mr. Abbé, Mr. Hooke, and Mr. Hertz

Say Hello to Mr. Abbé, Mr. Hooke, and Mr. Hertz
(Although you probably have met them before)
George Schuetz, Mahr Federal, Inc.

  Whenever you use a hand tool or precision gage, you should be aware of typical pitfalls that prevent good gage performance.  These include measurement errors resulting from environmental conditions (dirt & temperature), loose and/or worn gage parts, along with operator misuse.  There are other gaging pitfalls lying in wait which must be considered, both as part of good gage design and good measuring procedure.  These issues become particularly important as the need for gage performance increases.  They are typified by our three friends:  Mr. Abbé, Mr. Hooke, and Mr. Hertz, and most likely sit with you while you are performing your gaging process.  Let me introduce you.

  Meet Mr. Abbé, a noted optical designer.  His principle states: maximum accuracy may be obtained when the reference scale and the work piece being measured are aligned in the same measurement.  This is the case when using a standard set of micrometers: the measuring scale, (i.e., the micrometer barrel or digital scale) is in line with the part and the reference contact. However, in the case of a caliper gage, this is not true. 

Fig. 1

  With this type of gage, the measuring scale is below the contacts.  If there is any angular moment to the jaws during measurement, Mr. Abbé says hello (fig. 1). 

  Another type of gage where the measurement scale has often not been in line with the part is the horizontal length machine.  Notice that on many of today's newly designed horizontal length measuring machines, great effort has been made to place the scale either in line or as close to the measuring line as possible.

  Also, say hello to Mr. Hooke, a physicist who determined that the amount a spring stretches varies directly with the amount of force applied to it.  Now, you may say there are no springs in my micrometer, but in reality, the frame of the gage actually acts like a spring.  Since springs are sometimes made of steel, steel gaging frames can act like springs.  Whenever you turn the barrel of a micrometer down onto the part (fig. 2), you are applying force to the part and the reference contact.  There is some "spring" action taking place in the frame.  This is one of the reasons, as we noted previously, for the friction or ratchet drive used in the micrometer barrel.  By employing a constant measuring force, we always incorporate the same "spring" of the frame into our measurement and improve repeatability.  This ratchet in the micrometer is a reminder that Mr. Hooke is still around.


 Fig. 2

  Finally, we welcome Mr. Hertz, another physicist who developed a formula that determines the amount of surface deformation within a material's elastic limit (remember the springy steel) when two surfaces are pressed against each other under a certain force.

  There are formulas for cylindrical, spherical, and planar surfaces.  These formulas are important for determining the deformation of a work piece caused by the measuring force.  The results determined by these formulas are typically small when working with steel, but these small umbers turn out to be important in gage block measurement.  They also need to be considered when dealing with compressible materials.

  For example, let’s say we have a 0.125" radius diamond contact applying a gaging pressure of 6.4 ounces on a gage block.  With a steel gage block, penetration would be approximately 10µ".  However with a carbide gage block, it would be about 6.6µ".  Pretty small stuff—but in the gage block world, the difference can be a major portion of the block's tolerance.  If you know about it, you can deal with it.

  In short, when all three of these guys get together and put their forces to work, it's party time!  Understanding their principles and planning for their presence, keeps them under control.