The state of strain in a plane element is ex = -200 x 10-6 , Ey = 100 × 10-6 , and Yxy = 75 x 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Eydy Yxy 2 dy Yxy FExdx 2 dx

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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The state of strain in a plane element is €x = -200 x 10-6 , Ey = 100 × 10-6 , and
Yxy = 75 x 10-6 , as shown below. Determine the equivalent state of strain
which represents
(a) the principal strains
(b) the maximum in-plane shear strain and the associated average normal
strain. Specify the orientation of the corresponding elements for these states
of strain with respect to the original element.
y
Eydy
Yxy
2
dy
Yxy
FExdx
2
dx
Transcribed Image Text:The state of strain in a plane element is €x = -200 x 10-6 , Ey = 100 × 10-6 , and Yxy = 75 x 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Eydy Yxy 2 dy Yxy FExdx 2 dx
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