- #1

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## Homework Statement

https://web.iit.edu/sites/web/files...Academic Resource Center/pdfs/Mohr_Circle.pdf[/B]

why will σ_xl disappear in the equation ? [ [σ_xl - (σx -σy)/ 2 ] ^2 ] = ( [ (σx -σy)/ 2] ^2 ) is it wrong ?

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- Thread starter foo9008
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- #1

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https://web.iit.edu/sites/web/files...Academic Resource Center/pdfs/Mohr_Circle.pdf[/B]

why will σ_xl disappear in the equation ? [ [σ_xl - (σx -σy)/ 2 ] ^2 ] = ( [ (σx -σy)/ 2] ^2 ) is it wrong ?

- #2

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I don't think the above equation is supposed to follow from a simple manipulation of one side to produce the other. Rather, this equation is the result of some sequence of steps. Note that you have misquoted it: on the left hand side it should be σ## Homework Statement

https://web.iit.edu/sites/web/files/departments/academic-affairs/Academic Resource Center/pdfs/Mohr_Circle.pdf[/B]

why will σ_xl disappear in the equation ? [ [σ_xl - (σx -σy)/ 2 ] ^2 ] = ( [ (σx -σy)/ 2] ^2 ) is it wrong ?

## Homework Equations

## The Attempt at a Solution

See if https://en.m.wikipedia.org/wiki/Mohr's_circle helps.

- #3

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can you show me the proof ? the link doesn't provide the proofI don't think the above equation is supposed to follow from a simple manipulation of one side to produce the other. Rather, this equation is the result of some sequence of steps. Note that you have misquoted it: on the left hand side it should be σ_{x}+σ_{y}, not minus.

See if https://en.m.wikipedia.org/wiki/Mohr's_circle helps.

- #4

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It has what looks to me as a claimed proof. At "Equation of the Mohr Circle" it obtains expressions for σcan you show me the proof ? the link doesn't provide the proof

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