For any state of stress at a point p , at least one coordinate system xyz exists for which the state of stress is of the form where σ 1 , σ 2 , and σ 3 are the principal stresses (see Sect...

For any state of stress at a point
p, at least one coordinate system
xyz
exists for which the state of stress is of the form

where
σ
₁,
σ
₂, and
σ
₃
are the principal stresses (see Sect. 7.4). Use Eqs.(7.43), (7.45), and (7.46) to determine the normal stress and the magnitude of the shear stress on a plane through
p
that is perpendicular to the
 axis. (Your answers will be in terms of the principal stresses.)

Eqs.(7.43)

Eqs.(7.45)

Eqs.(7.46)