The stress tensor in MPa for a three-dimensional system for some x, y z axis system is 20 40 -30 40 30 25 -30 25 -10] (a) Confirm that one of the principal stresses is 65.333 MPa, hence find the other princinal stresses and the direction cosines of the planes on which they act. (b) Determine the maximum shear stress.

The stress tensor in MPa for a three-dimensional system for some x, y z axis system is 20 40 -30 40 30 25 -30 25 -10] (a) Confirm that one of the principal stresses is 65.333 MPa, hence find the other princinal stresses and the direction cosines of the planes on which they act. (b) Determine the maximum shear stress.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The stress tensor in MPa for a three-dimensional system for some x, y z axis system is
20
40
-301
40
30
25
-30
25
-10.
(a) Confirm that one of the principal stresses is 65.333 MPa, hence find the other princinal
stresses and the direction cosines of the planes on which they act.
(b) Determine the maximum shear stress.

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