Skip to main content

Traction, Stress, and Equilibrium

  • Chapter
  • First Online:
Introduction to Linear Elasticity

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 describing equilibrium between external and internal forces and stresses is derived from the principles of linear and angular momentum. The stresses are transformed into principal coordinates and several special stress states are defined.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company Inc., New York

    Google Scholar 

  2. Pearson CE (1959) Theoretical elasticity. Harvard monographs in applied science, vol 6. Harvard University Press, Cambridge, MA

    Google Scholar 

  3. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications Inc., New York

    Google Scholar 

  4. Davis HF (1961) Introduction to vector analysis. Allyn and Bacon Inc., Boston

    Google Scholar 

  5. Herrmann LR, Hamidi R, Shafigh-Nobari F, Lim CK (1988) Nonlinear behavior of elastomeric bearings. 1: theory. J Eng Mech ASCE 114(11):1811–1830

    Article  Google Scholar 

  6. Ugural AC, Fenster SK (1987) Advanced strength and applied elasticity, 2nd edn. Elsevier, New York

    Google Scholar 

  7. Chou PC, Pagano NJ (1992) ELASTICITY Tensor, dyadic and engineering approaches. Dover Publications, Inc., New York, NY

    Google Scholar 

  8. Timoshenko S, Goodier JN (1951) Theory of elasticity. McGraw-Hill Book Co., New York

    MATH  Google Scholar 

  9. Zubelwicz A, Bažant ZP (1987) Constitutive model with rotating active plane and true stress. J Eng Mech ASCE 113(3):398–416

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Gould, P.L. (2013). Traction, Stress, and Equilibrium. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4833-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-4833-4_2

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4832-7

  • Online ISBN: 978-1-4614-4833-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics