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. 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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Step 1
: Determine the center of Mohr's circle

C=12(fx+fy)=12(−150 MPa+−100 MPa)=−125 MPaC = \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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