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The stress tensor at a point in the xi system is given by 17 0 0 -23 28 0 28 10 ij = 0
The stress tensor at a point in the xi system is given by 17 0 0 -23 28 0 28 10 ij = 0 i. Find the principal stresses 01, 02 and 03 ii. Find the maximum shearing stress at the point by drawing the three associated Mohr's circles. iii. By defining an appropriate transformation tensor relating the principal axes to the axes associated with the maximum shear, verify results of (ii) analytically by using []=[A] JA] iv. Obtain the transformation tensor relating the principal axes x;* to the coordinate axes xi. v. Locate in Mohr's space the locus of (ON, Os) for normals in directed in x direction, X2 direction and x3 direction. Locate in Mohr's space the locus of (ON, OS) for normal n = (e - 2e2+ e3) / 6, where e; are the unit vectors in the direction of x.
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SOLUTION i The principal stresses are the eigenvalues of the stress tensor and they represent the maximum and minimum stresses in the material To find the principal stresses we need to diagonalize the ...Get Instant Access to Expert-Tailored Solutions
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