Page 70 - Mechanics of Microelectromechanical Systems
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1. Stiffness basics                                                57







         Since the system of Fig.  1.31  is three-times indeterminate, the reactions
              and      need  to  be first determined,  by using  the  corresponding
         boundary conditions:










         which can be expressed as:

















          The bending moment is:








          The unknown reactions are:










          The horizontal  displacement at point 2 can now be found by means of Eqs.
          (1.219),  (1.221),  (1.222) and (1.223),  which give the  stiffness about the x-
          direction as:
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