Consider a point in a loaded body subjected to the stress field represented in Fig. 3. Determine the principal stresses and orientation (with respect to the original system) of the maximum principal stress (0₁) in terms of direction cosines (1, m, n) and angle, 0. Use both formulas and Mohr's circles to solve.

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 7.4.21P: -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see...
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3. Consider a point in a loaded body subjected to the stress field represented in Fig. 3.
Determine the principal stresses and orientation (with respect to the original system)
of the maximum principal stress (01) in terms of direction cosines (1, m, n) and angle,
0. Use both formulas and Mohr's circles to solve.
60MPa
50MPa
Fig. 3
20MPa
100MPa
>X
Transcribed Image Text:3. Consider a point in a loaded body subjected to the stress field represented in Fig. 3. Determine the principal stresses and orientation (with respect to the original system) of the maximum principal stress (01) in terms of direction cosines (1, m, n) and angle, 0. Use both formulas and Mohr's circles to solve. 60MPa 50MPa Fig. 3 20MPa 100MPa >X
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