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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...
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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.
Transcribed Image Text: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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