Stress transform - Mohr's circle

  • Thread starter yecko
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yecko
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Homework Statement




For the beam and loading shown below,

(a) find the state of stress at point A in the Cartesian coordinate system indicated in the figure.

(b) use Mohr’s circle to determine (i) the principal stress and principal plane; (ii) the normal and shearing stresses acting on a plane oriented at 45 deg indicated in the figure.
upload_2018-5-15_18-8-53.png



Homework Equations


Solution:
upload_2018-5-15_18-9-4.png


The Attempt at a Solution


for part b, let me define the mohr's circle be like this:

upload_2018-5-15_18-9-35.png

Why not transform to point D but point B in the solution?
hMZ4jL4qGywdkFRhDxR80d5CMHh0d8l9DpejR09GzYahu3s5v5Abmj3swZ4O0fFzKBE1Md0EBdx9A&owa=outlook.office.jpg

hMZ4jL4qGywdkFRhDxR80d5CMHh0d8l9DpejR09GzYahu3s5v5Abmj3swZ4O0fFzKBE1Md0EBdx9A&owa=outlook.office.jpg

I think as the plane rotate 45 deg clockwise, so the point would follow point x then rotate 90 deg clockwise to point D i written.

So may I know if the answer is right for point B as the destination point, or should point D i written be right?
thanks.
 

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  • upload_2018-5-15_18-8-53.png
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  • upload_2018-5-15_18-9-4.png
    upload_2018-5-15_18-9-4.png
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  • upload_2018-5-15_18-9-35.png
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  • hMZ4jL4qGywdkFRhDxR80d5CMHh0d8l9DpejR09GzYahu3s5v5Abmj3swZ4O0fFzKBE1Md0EBdx9A&owa=outlook.office.jpg
    hMZ4jL4qGywdkFRhDxR80d5CMHh0d8l9DpejR09GzYahu3s5v5Abmj3swZ4O0fFzKBE1Md0EBdx9A&owa=outlook.office.jpg
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    hMZ4jL4qGywdkFRhDxR80d5CMHh0d8l9DpejR09GzYahu3s5v5Abmj3swZ4O0fFzKBE1Md0EBdx9A&owa=outlook.office.jpg
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