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Traction, Stress and Equilibrium

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Introduction to Linear Elasticity
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Abstract

An approach to the solution of problems in solid mechanics is to establish relationships first between applied loads and internal stresses and, subsequently, to consider deformations. Another approach is to examine deformations initially, and then proceed to the stresses and applied loads. Regardless of the eventual solution path selected, it is necessary to derive the component relationships individually. In this chapter, the first set of equations, which describe equilibrium between external and internal forces and stresses, are derived.

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References

  1. Tauchert, T. R., Energy Principles in Structural Mechanics (McGraw-Hill Book Company, Inc., New York, 1974).

    Google Scholar 

  2. Pearson, C. E., Theoretical Elasticity (Harvard Monographs in Applied Science, No 6. Harvard Univ. Press, Cambridge. MA, 1959).

    Google Scholar 

  3. Westergaard, H. M., Theory of Elasticity and Plasticity (Dover Publications, Inc., New York. 1964).

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  4. Davis. H. F., Introduction to Vector Analysis (Allyn and Bacon. Inc., Boston, 1961).

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  5. Herrmann, L. R., Hamidi. R., Shafigh-Nobari, F., and Lim, C. K., “Nonlinear Behavior of Elastomeric Bearings. 1: Theory,” Journal of Engineering Mechanics, ASCE, Vol. 114, No. 11, Nov. 1988, pp. 1811–1830.

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  6. Ugural, A. C, and Fenster, S. K., Advanced Strength and Applied Elasticity (Elsevier-North Holland, New York, 1975).

    Google Scholar 

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© 1994 Springer-Verlag New York, Inc.

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Gould, P.L. (1994). Traction, Stress and Equilibrium. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4296-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-4296-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8728-5

  • Online ISBN: 978-1-4612-4296-3

  • eBook Packages: Springer Book Archive

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