The 3-dimensional state of stress at a material point in x, y, z coordinates is given...

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The 3-dimensional state of stress at a material point in x, y, z coordinates is given by: σa [o]-o, 32 0, Oxy O 39 je on 120 0 0 0 300 400 MPa 400 240 0 a) Calculate the characteristic equation and determine the principal stresses for the three-dimensional state of stress. b) Calculate the absolute maximum shear stress at the point. c) Calculate the hydrostatic stress and the deviatoric stress invariants d) Calculate the principal strains at the point. e) Calculate the characteristic equation for the three-dimensional state of f) strain. g) Calculate the volumetric strain and the deviatoric strain invariants h) Calculate the strain tensor in the original x, y, z coordinate system. The material is linear elastic (E=200GPa, v=0.3). The 3-dimensional state of stress at a material point in x, y, z coordinates is given by: σa [o]-o, 32 0, Oxy O 39 je on 120 0 0 0 300 400 MPa 400 240 0 a) Calculate the characteristic equation and determine the principal stresses for the three-dimensional state of stress. b) Calculate the absolute maximum shear stress at the point. c) Calculate the hydrostatic stress and the deviatoric stress invariants d) Calculate the principal strains at the point. e) Calculate the characteristic equation for the three-dimensional state of f) strain. g) Calculate the volumetric strain and the deviatoric strain invariants h) Calculate the strain tensor in the original x, y, z coordinate system. The material is linear elastic (E=200GPa, v=0.3).