(50) The stress matrix [0] shown below is given in the original x y z coordinate system. A new coordinate system x' y' z' is obtained by rotating the original axes as shown in the matrix of direction cosines (N] Obtain the new stress matrix [o'] in the x' y' z' coordinate system. Verify that the new stress matrix you calculated is equivalent to the original one. Using the new stress tensor [o'] calculate the hydrostatic and deviatoric stress tensors. i- ii- ii- 0 0.8] (50 [o] = 30 -25 -50 MPa 25 30 0.6 [N]= 1 0 -50 -0.8 0 0.6]

(50) The stress matrix [0] shown below is given in the original x y z coordinate system. A new coordinate system x' y' z' is obtained by rotating the original axes as shown in the matrix of direction cosines (N] Obtain the new stress matrix [o'] in the x' y' z' coordinate system. Verify that the new stress matrix you calculated is equivalent to the original one. Using the new stress tensor [o'] calculate the hydrostatic and deviatoric stress tensors. i- ii- ii- 0 0.8] (50 [o] = 30 -25 -50 MPa 25 30 0.6 [N]= 1 0 -50 -0.8 0 0.6]

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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