Problem 2. Let 0 1 1 [T] = 1 02 MPa 1 2 0 be the...

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Problem 2. Let 0 1 1 [T] = 1 02 MPa 1 2 0 be the matrix representation of the Cauchy stress tensor at a material point P = x of a body B with respect to an orthonormal basis {1, 2, 3}. Please answer the following questions. (i) Determine the stress vector, the normal and shear tractions, and the direction of shear at the material point on a material boundary with unit outward normal n = (e2 3)/2. - (ii) Determine the principal stresses at x and the corresponding principal axes of stress, chosen such that they form a right-handed orthonormal basis. (iii) Determine the maximum shear traction at x and the unit outward normals to the material boundaries on which it acts. Problem 2. Let 0 1 1 [T] = 1 02 MPa 1 2 0 be the matrix representation of the Cauchy stress tensor at a material point P = x of a body B with respect to an orthonormal basis {1, 2, 3}. Please answer the following questions. (i) Determine the stress vector, the normal and shear tractions, and the direction of shear at the material point on a material boundary with unit outward normal n = (e2 3)/2. - (ii) Determine the principal stresses at x and the corresponding principal axes of stress, chosen such that they form a right-handed orthonormal basis. (iii) Determine the maximum shear traction at x and the unit outward normals to the material boundaries on which it acts.