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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