. The stress components are σ 11 = 2, σ 22 = 4, σ 33 = 7, σ 23 = −1, σ 31 = 3, and σ 12 = 5. Compute the normal stress and the magnitude of the shearing stress on a plane whose 0)      normal makes...

.
The stress components are
σ11 = 2,
σ22 = 4,
σ33 = 7,
σ23 = −1,
σ31 = 3, and
σ12 = 5.

Compute the normal stress and the magnitude of the shearing stress on a plane whose

0)      normal makes equal angles with the (x1, x2, x3)
axes.

.
Consider
σx
= 4,
σy
= 2,
σz
= −2,
τyz
= 8,
τzx
= −2, and
τxy
= 3. Compute the stress

vectors on planes with unit normals ( 2

3
,
23

,
13

)
and
(1/

√

14,
3/

√

14,
2/

√

14,
3/

√

14).

Compute the normal stresses on these planes; then compute the shearing stresses.