Page 73 - Mechanics of Microelectromechanical Systems
P. 73
60 Chapter 1
Problems
Problem 1.1
In a plane stress problem, the non-zero stresses are located in the xy
plane, as shown in Fig. 1.8. Express the strain energy when the shear
modulus and Lamé’s constant are known.
Answer:
Problem 1.2
A fixed-free beam is acted upon by a force at its free end as shown in Fig.
1.9 (a). Determine the length of the beam 1 as well and its cross-sectional
thickness t in such a way that the maximum tip deformations are and
without exceeding a bending stress limit when Young’s modulus is E.
Answer:
Problem 1.3
Calculate the ratio of the tip deflection when shearing forces are
accounted for to the tip deflection when shearing effects are negligible for a
microcantilever acted upon by a tip force which is perpendicular to the
longitudinal axis. Known are Poisson’s ratio beam thickness t and length l.
Answer:
Problem 1.4
Find the stiffness of the pinned-guided microbeam shown in Fig. 1.32 at
its midspan about the z-direction (Hint: assume a force is applied at midspan
about the z-direction).
Figure 1.32 Simply supported – guided microbeam
