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Mohr's circle

  1. Jul 29, 2016 #1
    1. The problem statement, all variables and given/known data
    http://www.efunda.com/formulae/solid_mechanics/mat_mechanics/plane_stress_principal.cfm
    in this notes , i couldn't understand that why there exists an angle (θp) where the shear stress (τx'y' ) becomes zero , (only normal stress acting )
    is there any proof on this ?

    for the second part , why when we find max shear stress , there's also average normal stress acting ?
    2. Relevant equations


    3. The attempt at a solution
    is the second diagram wrong ? when we find max shear stress , there should not be average normal stress acting ....
     
  2. jcsd
  3. Jul 29, 2016 #2
    Are you familiar with the Cauchy stress relationship?
     
  4. Jul 29, 2016 #3
    no , i have never heard of that
     
  5. Jul 29, 2016 #4
    Then how can you possibly determine the components of the stress (traction) vector on a surface of arbitrary orientation?

    The Cauchy stress relationship says that $$\tau=\sigma n$$
    where n is a unit column vector normal to a surface of interest, ##\sigma## is the matrix of stress tensor components, and ##\tau## is the stress (traction) vector acting on the surface. Have you ever heard of anything like this?
     
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