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Gauge characteristics 73
                                                      4.2.5  Residual stress measurement
                                                      The state of the surface at the time when a strain
                                                      gauge is bonded to it has, of course, to be taken
                                                      as  the  strain  zero  relative  to  which  subsequent
                                                      changes are measured. The gauge essentially meas-
                                                      ures  increments  of  strain  with  increments  of
                                                      load.  For many  purposes  of  calculating stresses
                                                      and predicting life, this is the most important thing
             Figure 4.5  Examples of semiconductorgauges.   to do.
             Courtesy, Kulite Semiconductor Products Inc.
                                                        However,  during  fabrication,  and  before  a
                                                      gauge  can  be  attached,  some  stresses  can  be
                                                      locked up in  certain parts  and it  may  be  desir-
            4.2.4  Rosettes                           able  to  know  these.  This  cannot be  done  with
                                                      any  accuracy  non-destructively  but  if  we  delib-
            We  pointed  out  earlier  that  a  full  analysis  of   erately  remove  some  materia!  the  observed
             strain  involves measurements  in  more  than  one
            direction.  In  fact,  three  measurements  are   strain  changes  in  neighboring  material  can  tell
             required on a surface because strain can be repre-   us  what  forces were previously applied  through
            sented as an ellipse. for which the magnitudes and   the  now  absent  material.  One  technique  is  to
            directions  of  the  axes must  be  established.  The   strain-gauge  a  small area  of  interest,  noting the
            directions  chosen  for  strain  measurements  are   changes  in  the  gauge  readings  as  that  area  is
            commonly either at 120" or at 45" and 90" to each   freed  by  trepanning.  An  alternative  procedure
            other.                                    is to drill a simple hole inside an array of strain
              If we  are dealing with large structures, it may   gauges that remain attached to the main surface;
            be expected that  strain will  only vary  gradually   changes in the  strain they show can again  indi-
                                                      cate what  the residual  stress was. An  array  for
            across a surface, and three closely spaced indivi-
            dual gauges can be thought of as referring to the   this purpose is  shown in Figure 4.7.
            same point. When there is little room to spare, it
            is desirable to have the three gauges constructed
            integrally,  which  anyhow  simplifies installation.
             Such a unit is called a rosette. The three units may
            be either close together  in one plane  or actually
            stacked on top of each other (Figure 4.6).


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                                                      Figure 4.7  Array of gaugesfor measuring residual stress.
                                                      Courtesy, Micro-Measurements Division, Measurements
                                                      Group Inc.


                                                      4.3  Gauge characteristics
                                                      We  have  discussed  the  gauge  factor  at  some
                                                      length; that is what enables resistance to be used
                                                      at all to measure  strain. Other features  of  strain
                                                      gauges  are  important  for  successful  instru-
                                                      mentation. Information  about the characteristics
             Figure 4.6  Rosette of gauges. Courtesy, Micro-   of  particular  gauges  is  available  from  manu-
             Measurements Division, Measurements Group Inc.   facturers.
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