The 3-dimensional state of strain at a material point in x, y, z Q3 coordinates is given by: [8] xx Vt. vy E EV XZ E E = 0 0 0 0-1 -3 10 0 -3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain (b) Calculate the volumetric strain and the deviatoric strain invariants

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 7.7.25P: On the surface of a structural component in a space vehicle, the strains arc monitored by means of...
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Q3
coordinates is given by:
The 3-dimensional state of strain at a material point in x, y, z
xx
[ε] = &₁
Ex
Exy
Evy
zy
E
XZ
E
0
0 0
= 0 -1 -3 *10*
0 -3 5
(a) Calculate the characteristic equation and determine the principal strains for the
three-dimensional state of strain
(b) Calculate the volumetric strain and the deviatoric strain invariants
Transcribed Image Text:Q3 coordinates is given by: The 3-dimensional state of strain at a material point in x, y, z xx [ε] = &₁ Ex Exy Evy zy E XZ E 0 0 0 = 0 -1 -3 *10* 0 -3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain (b) Calculate the volumetric strain and the deviatoric strain invariants
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