Verify the validity of the transformation relations given in Table 7.1 by:

(a) Transforming the plane strain equations (7.1.5) and (7.1.7) into the corresponding plane stress results.

(b) Transforming the plane stress equations (7.2.5) and (7.2.7) into the corresponding plane strain results.

Table 7.1

Equation 7.1 .5

Equation 7.1 .7

Equation 7.2 .5

Equation 7.2 .7

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Table 7.1 Elastic moduli transformation relations for conversion between plane stress and plane strain problems. E Plane stress to plane strain Plane strain to plane stress E 1- E(1 + 2v) (1+x) V 1-v V 1 + v