Page 77 - Mechanics of Microelectromechanical Systems

64 Chapter 1
Problem 1.14
Compare the bending rigidity of the two sandwiched-beam cross-sections
shown in Fig. 1.36. The top layer’s material has a Young’s modulus of
whereas the Young’s modulus of the bottom layer is Also

Figure 1.36 Cross-sections of two composite bending members

Answer:

Problem 1.15
Compare the torsional stiffnesses of the two microcomponents pictured
in Fig. 1.28. The shearing modulus is G and the cross-section is very thin (t
<<w).

Answer:

References

1. A.P. Boresi, R.J. Schmidt, O.M. Sidebottom, Advanced Mechanics of Materials, Fifth
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3. R.D. Cook, W.C. Young, Advanced Mechanics of Materials, MacMillan Publishing
Company, New York, 1985.
4. W.C. Young, R.G. Budynas, Roark’s Formulas for Stress and Strain, Seventh Edition,
McGraw Hill, New York, 2002.
5. J.N. Reddy, Energy Principles and Variational Methods in Applied Mechanics, Second
Edition, John Wiley & Sons, New York, 2002.
6. W.D. Pilkey, Analysis and Design of Elastic Beams. Computational Methods, John Wiley &
Sons, New York, 2002.
7. J.P. Den Hartog, Advanced Strength of Materials, Dover Publications, New York, 1987.
8. N. Lobontiu, Compliant Mechanisms: Design of Flexure Hinges, CRC Press, Boca Raton,
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9. J.P. Den Hartog, Strength of Materials, Dover Publications, New York, 1977.