The Stress Ellipsoid, II

  • W. D. Means


In Chapter 7 we took it on faith that the stress vectors at a point in two dimensions define an ellipse. In this chapter we calculate the stress vector on a plane from given boundary stresses on a block of rock. We do this first for a specific numerical example, and second for a more general case that demonstrates the reality of the stress ellipse.


Principal Stress Force Vector Triaxial Stress Direction Cosine Stress Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes and References

  1. Readers not previously familiar with direction cosines can read more about them in Nye (1964, p. 9), Jaeger and Cook (1969, p. 18) or in Malvern (1969, p. 13).Google Scholar
  2. The equation for the stress ellipsoid in three dimensions is derived by Nadai (1950, pp. 91–93).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1976

Authors and Affiliations

  • W. D. Means
    • 1
  1. 1.Department of Geological SciencesState University of New York at AlbanyAlbanyUSA

Personalised recommendations