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1. Stiffness basics                                               53


































         Figure 1.29  Hybrid microcantilever: (a) geometry of real design; (b) equivalent serial model

         6.3    Beams in Parallel

             The situation  will be  analyzed here  where  two beams  are  connected in
         parallel by  means of a  rigid link,  and the  direct-bending  stiffness  will be
         evaluated. However,  in  order to  solve  this particular  problem an additional
         example is discussed that highlights the influence of boundary conditions on
         the stiffness of a beam in bending.

         Example 1.15
             Find the spring constant corresponding to the elastic interaction between
         the force   and the resulting deflection  for the  beams shown in Fig.  1.30
         by using Castigliano’s displacement theorem. Compare the two results.














          Figure 1.30  Boundary conditions in bending: (a) fixed-free beam; (b) fixed-guided beam
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