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 in a body is given by the following components: σxx = 50 MPa, σyy = −30 MPa, σzz = 20 MPa, σxy = 5 MPa, σxz = −30 MPa, and σyz = 0. Find σPx, σPy, σPz, and σPS for point P on a cutting plane Q with normal vector .
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