A structural member is subjected to a plane stress loading condition. The state of stress at a point of the member is shown in the figure. (1) Draw the Mohr's circle for this 2D state of stress; (2) Determine the principal stresses, and the maximum in- plane shear stresses and associated normal stresses developed at this point; (3) Represent the obtained critical stresses in (2) on new 2D stress elements, and indicate the principal stress wientetion (0 end the ond in u

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 7.4.18P: -18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see...
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A structural member is subjected to a plane stress loading
condition. The state of stress at a point of the member is
shown in the figure.
45 MPa
(1) Draw the Mohr's circle for this 2D state of stress;
(2) Determine the principal stresses, and the maximum in-
plane shear stresses and associated normal stresses
developed at this point;
(3) Represent the obtained critical stresses in (2) on new
2D stress elements, and indicate the principal stress
orientation (6p) and the maximum in-plane shear
orientation (0s) on the new stress elements with
respect to the original stress elements.
25 MPa
Transcribed Image Text:A structural member is subjected to a plane stress loading condition. The state of stress at a point of the member is shown in the figure. 45 MPa (1) Draw the Mohr's circle for this 2D state of stress; (2) Determine the principal stresses, and the maximum in- plane shear stresses and associated normal stresses developed at this point; (3) Represent the obtained critical stresses in (2) on new 2D stress elements, and indicate the principal stress orientation (6p) and the maximum in-plane shear orientation (0s) on the new stress elements with respect to the original stress elements. 25 MPa
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