Page 75 - Mechanics of Microelectromechanical Systems
P. 75
62 Chapter 1
Problem 1.8
Compare the compliance of a fixed-free straight beam with the
same compliance of a fixed-free curved beam that subtends an arc of
The two beams have identical lengths and rectangular cross-sections.
Consider both the case where torsion is and is not taken into account.
Answer:
When torsion is ignored, the compliance ratio is:
When the torsion is taken into account, the compliance ratio becomes:
Problem 1.9
Compare the bending rigidity of the sandwich beam in Fig. 1.34 for the
particular case where to the bending
rigidity of the homogeneous microcantilever of length and thickness
Figure 1.34 Sandwich beam
Answer:
Problem 1.10
Calculate the stiffness about the x-direction (horizontal) at point 2 for the
parallel beam structure of Fig. 1.35. The two side beams are identical and
parallel to the center beam whose length is twice the length of the side beams.
Consider that the three beams have identical cross-sections and are built of
the same material.
Answer: