Page 195 - Introduction to Continuum Mechanics

180 Stress

and

find 7i2.

Solution, (a) The plane x+2y+2z—6 = 0 has a unit normal n given by

The stress vector is obtained from Eq. (4.2.7) as

or,

The magnitude of the normal stress is simply, with T n = T^ n^,

(b) To find the primed components of the stress, we have,

Therefore,

Example 4.4.3

The distribution of stress inside a body is given by the matrix