Page 76 - Mechanics of Microelectromechanical Systems
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1. Stiffness basics 63
Figure 1.35 Three beams in parallel
Problem 1.11
Compare the maximum deflection of a thin circular plate with that of a
thin square plate when the two structures are acted upon by the same uniform
pressure, and when they have identical mid-plane areas and thicknesses.
Consider that both members are clamped on their edges.
Answer:
The deflection ratio is:
Problem 1.12
Design a constant rectangular cross-section microcantilever which is
acted upon by a tip transverse force in such a manner that the allowable
bending stress is not exceeded, while producing a tip deflection and tip
slope The material’s Young’s modulus is E.
Answer:
Problem 1.13
Find the value of the force which needs to be applied at the midspan
of a fixed-fixed beam (microbridge) of length and cross-sectional
dimensions of and in order to generate a deflection of
at the midspan. The material Young’s modulus is E = 130 GPa.
Answer:
