QQuestionEngineering
QuestionEngineering
. In a 2 -D stress system compressive stresses of magnitudes 100 MPa and 150 MPa act
in two perpendicular directions. Shear stresses on these planes have magnitude of 80
MPa. Use Mohr's circle to find,
(i) Principal stresses and their planes
(ii) Maximum shears stress and their planes and
(iii) Normal and shear stresses on a plane inclined at 450 to 150 MPa stress.
Given, fx = –150 MPa
fy = –100 MPa
q = 80 MPa
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Answer
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Step 1: Determine the center of Mohr's circle
C = \frac{1}{2}(f_x + f_y) = \frac{1}{2}(-150~\text{MPa} + -100~\text{MPa}) = -125~\text{MPa}
The center of Mohr's circle can be found using the following formula:
Step 2: Calculate the radius of Mohr's circle
Final Answer
: Calculate the radius of Mohr's circle
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