Note: I have answers to part (a). Guidance on part (b) would be much appreciated!Hi, I'm unsure how to approach this part of the problem with Mohr's Circle. I understand the concept but struggle to see how to apply it to all the questions asked in the attached image.Thank you in advance! Figure Q2 shows that state of stress at a point within a loaded body consists of acombination of two direct normal stresses: O = 65 MPa (tension) and oy =-40 MPa,complemented by a tangential shear stress Ty = 35 MPa.65 MPa35 MPa40 MRFigure Q2Construct a Mohr's circle to establish, with additional sketches in the physicalplane, answers to each of the following:(a)(0)the direct and shear stress state upon the plane inclined at 45° shown(ii)the magnitudes of the major and minor principal stressesthe orientations of the major and minor principal planes relative to the(ii)left vertical side of the element in Fig. Q2(iv)the magnitude of the maximum shear stress with its normal stressthe directions of the maximum shear planes relative to the principalplanes.(v)Confirm the principal stress magnitudes from the formulae. Find the safetyfactors which apply to the principal stress state based upon the Rankine, Trescaand von Mises yield criteria given that the tensile yield stress is 200 MPa.(b)

Answered: Image /qna-images/answer/ffe6da94-8732-482b-a1ef-a43fb785b5f7.jpg

Answered: Confirm the principal stress magnitudes…

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Mechanical Engineering

Confirm the principal stress magnitudes from the formulae.

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 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...

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Question

Note: I have answers to part (a). Guidance on part (b) would be much appreciated!

Hi, I'm unsure how to approach this part of the problem with Mohr's Circle. I understand the concept but struggle to see how to apply it to all the questions asked in the attached image.

Thank you in advance!

Figure Q2 shows that state of stress at a point within a loaded body consists of a
combination of two direct normal stresses: O = 65 MPa (tension) and oy =-40 MPa,
complemented by a tangential shear stress Ty = 35 MPa.
65 MPa
35 MPa
40 MR
Figure Q2
Construct a Mohr's circle to establish, with additional sketches in the physical
plane, answers to each of the following:
(a)
(0)
the direct and shear stress state upon the plane inclined at 45° shown
(ii)
the magnitudes of the major and minor principal stresses
the orientations of the major and minor principal planes relative to the
(ii)
left vertical side of the element in Fig. Q2
(iv)
the magnitude of the maximum shear stress with its normal stress
the directions of the maximum shear planes relative to the principal
planes.
(v)
Confirm the principal stress magnitudes from the formulae. Find the safety
factors which apply to the principal stress state based upon the Rankine, Tresca
and von Mises yield criteria given that the tensile yield stress is 200 MPa.
(b)

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