The discussion focuses on the disappearance of σ_xl in the Mohr's Circle formula, specifically addressing the equation [σ_xl - (σx - σy)/2]^2 = [(σx - σy)/2]^2. It is clarified that the left-hand side should include σx + σy instead of σx - σy, indicating a misquote. The participants emphasize that the equation results from a sequence of steps rather than simple manipulation. A reference to the Wikipedia page on Mohr's Circle is provided for further understanding.
PREREQUISITESStudents and professionals in mechanical engineering, civil engineering, and materials science who are studying stress analysis and the application of Mohr's Circle in solving engineering problems.
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 σx+σy, not minus.foo9008 said:
can you show me the proof ? the link doesn't provide the proofharuspex said:
It has what looks to me as a claimed proof. At "Equation of the Mohr Circle" it obtains expressions for σn and τn as functions of θ. Then it eliminates θ between these two equations to obtain a relationship between σn and τn. This produces the equation you queried.foo9008 said:
