The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the
The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine 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 stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the normal stresses σn and σt and the shear stress τnt at this point if they act on the rotated stress element shown.
![|S,
Sy
Tnt
Sx
On
in
Answers:
MPа
i
On =
MPа
i
Of =
MPa
i
Tnt =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe12ca08f-ece6-4e1d-bc67-adde3cfa194b%2F78b18bf5-48e6-4f87-943c-41457df5fddc%2Fba2blag_processed.png&w=3840&q=75)
Transcribed Image Text:|S,
Sy
Tnt
Sx
On
in
Answers:
MPа
i
On =
MPа
i
Of =
MPa
i
Tnt =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given that,
The rotated stress element has been shown above,
Writing the formula for stress when the stress element is rotated through an angle of theta,
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