Question

cratonic region. The shear and normal stress components associated with these directions are shown in the diagram.

Assume that the stress field is homogeneous over the field of view.

Assume that the intermediate principal stress ( ) is vertical.

Using the information provided above and a Mohr diagram or diagrams (with a scale of 2 cm = 100 bars):

(a) determine the magnitudes and orientations of the principal stresses ( and );

b) plot and label the orientations of the principal stresses and as they pass through point P in Figure 1;

(c) determine the shear and normal stress components associated with a pair of orthogonal coordinate axes when one of the axes is orientated north-south, and the other is orientated east-west.

X3 +325 bars + 90 bars 625 bars X1 Point P -90 bars Figure 1

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