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foo9008
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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 ?
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_{x}+σ_{y}, not minus.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
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.
It has what looks to me as a claimed proof. At "Equation of the Mohr Circle" it obtains expressions for σ_{n} and τ_{n} as functions of θ. Then it eliminates θ between these two equations to obtain a relationship between σ_{n} and τ_{n}. This produces the equation you queried.can you show me the proof ? the link doesn't provide the proof