Problem 6. Consider the following stress state: [6 4 01 [a] 4 12 0 ksi Lo 0 6] Determine the corresponding strains if the Young's modulus and Poisson's ratio are equal to 10,000 ksi and 0.25, respectively. Determine the principal stresses. b. Determine the maximum shear stress. d. Determine the angle the axes need to be rotated around the z-axis to obtain the maximum shear Txy stress. e. Can this stress state be a result of a plane stress problem? f. Can this stress state be a result of a plane strain problem? ܤܤ

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 7.3.18P: -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a)...
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Problem 6. Consider the following stress state:
[6 4 01
12 0 ksi
0
a. Determine the corresponding strains if the Young's modulus and Poisson's ratio are
equal to 10,000 ksi and 0.25, respectively.
[0] = 4
Lo
b.
Determine the principal stresses.
c. Determine the maximum shear stress.
d. Determine the angle the axes need to be rotated around the z-axis to obtain the
maximum shear Txy stress.
e.
Can this stress state be a result of a plane stress problem?
f. Can this stress state be a result of a plane strain problem?
Transcribed Image Text:Problem 6. Consider the following stress state: [6 4 01 12 0 ksi 0 a. Determine the corresponding strains if the Young's modulus and Poisson's ratio are equal to 10,000 ksi and 0.25, respectively. [0] = 4 Lo b. Determine the principal stresses. c. Determine the maximum shear stress. d. Determine the angle the axes need to be rotated around the z-axis to obtain the maximum shear Txy stress. e. Can this stress state be a result of a plane stress problem? f. Can this stress state be a result of a plane strain problem?
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