Transcription of 7. STRESS ANALYSIS AND STRESS PATHS
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7. STRESS ANALYSIS AND STRESS PATHS
7-1 7. STRESS ANALYSIS AND STRESS PATHS THE MOHR CIRCLE The discussions in Chapters 2 and 5 were largely concerned with vertical stresses. A more detailed examination of soil behaviour requires a knowledge of stresses in other directions and two or three dimensional analyses become necessary. For the graphical representation of the state of STRESS on a soil element a very convenient and widely used method is by means of the Mohr circle. In the treatment that follows the stresses in two dimensions only will be considered. Fig. (a) shows the normal stresses y and x and shear stresses xy acting on an element of soil. The normal STRESS and shear STRESS acting on any plane inclined at to the plane on which y acts are shown in Fig. (b). The stresses and may be expressed in terms of the angle and the other stresses indicated in Fig.
7-6 7.4 in which the lower part of the diagram has been omitted for simplicity. The initial major and minor principal stresses are indicated by σli and σ3i respectively. Stress changes of ∆σ1 and ∆σ3 have been imposed to give the following final stresses
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