Many of the problems for Sections 2.1-2.4 require the determination of principal stresses and maximum shear stress, as well as the location of the planes on which they act. These quantities are required input in design and failure criteria for structural and mechanical systems.
Solve Problem 2.15 using the transformation equations for plane stress (Eq. 2.30 or 2.31).
Problem 2.15
The state of stress at a point is specified by the following stress components: σxx = 110 MPa, σyy = −86 MPa, σzz = 55 MPa, σxy = 60 MPa, and σyz = σzx = 0. Determine the principal stresses, direction cosines of the principal stress directions, and maximum shear stress.
(2.30)
(2.31)
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