Problem

Many of the problems for Sections 2.1-2.4 require the determination of principal stresses...

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.

The state of stress at a point is specified by the following stress components: σxx = σyy, = σzz, = 0, σxy = −75 MPa, σyz = 65 MPa, and σzx = −55 MPa. Determine the principal stresses, direction cosines for the three principal stress directions, and maximum shear stress.

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