1-17 through 11-20. For the following data, using the stress-transformation cquations, (a) find the principal stresses and show their sense on properly oriented elements: (b) find the maximum (principal) shear stresses with the associated nor- mal stresses and show the results on properly oriented elements; and (c) check the invariance of the normal stresses for solutions in (a) and (b).

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 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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Please give detailed explanation. see photo for expected answer.

For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements;

(b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and

(c) check the
invariance of the normal stresses for solutions in (a) and (b).

Please give detailed explanation. See photo for expected answer.

11-20
20
25
-10
(a) 0, = 5+ (is+20)=30 MPa
O2 = 5-25 - -20 MPa
(b; Tmax = 25MPA , 6 = 5 MPa
(c) G, + 6z = 10 = Ox+ bg
Transcribed Image Text:11-20 20 25 -10 (a) 0, = 5+ (is+20)=30 MPa O2 = 5-25 - -20 MPa (b; Tmax = 25MPA , 6 = 5 MPa (c) G, + 6z = 10 = Ox+ bg
1-17 through 11-20. For the following data, using the stress-transformation
cquations, (a) find the principal stresses and show their sense on properly oriented
clements: (b) find the maximum (principal) shear stresses with the associated nor-
mal stresses and show the results on properly oriented elements:; and (e) check the
invariance of the normal stresses for solutions in (a) and (b).
20 -20)
11-20.
MPa
-20 -10,
Transcribed Image Text:1-17 through 11-20. For the following data, using the stress-transformation cquations, (a) find the principal stresses and show their sense on properly oriented clements: (b) find the maximum (principal) shear stresses with the associated nor- mal stresses and show the results on properly oriented elements:; and (e) check the invariance of the normal stresses for solutions in (a) and (b). 20 -20) 11-20. MPa -20 -10,
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