The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the

The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The state of stress shown to the left was produced
by a combination of loadings on a body that is
not shown. Determine the following via Mohr's
circle:
A) Draw Mohr's Circle for the x-y plane.
B) Determine the principal stresses - All 3.
C) Sketch a properly oriented differential element
showing the principal stresses in the x-y plane.
D) Determine the magnitude of the maximum
shear stress in the x-y plane.
E) Sketch a properly oriented differential element
showing the maximum shear stress state in the
x-y plane.
F) Determine the magnitude of the absolute
maximum shear stress (and include the two out
of plane circles on your original figure).
Use the following values for the magnitudes of the stresses: x =
0₂
Txy
Ox
X
X
10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi

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Step 1: Write the given data with suitable variables.

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Step 2: Find the center and radius of the mohr's circle.

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Step 3: (A)- Draw the mohr circle.

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Step 4: (B)- Determine the principal stresses.

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Step 5: (C)- Draw the diagram.

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