The discussion revolves around the Mohr's Circle formula, specifically addressing why the term σ_xl disappears in a certain equation. Participants are examining the mathematical manipulation involved and seeking clarification on the derivation of the equation.
Participants do not appear to reach a consensus on the correctness of the equation or the steps involved in its derivation, indicating that multiple views and uncertainties remain in the discussion.
There are unresolved aspects regarding the assumptions made in the derivation of the equation and the specific steps required to arrive at the conclusion. Participants have differing interpretations of the equation's formulation.
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:
