1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Princiap Stress and Strains

  1. Oct 12, 2012 #1
    1. The problem statement, all variables and given/known data

    For a plane stress state, show that the principal stresses and strains occur in the same direction?

    2. Relevant equations

    Hookes Law for PLane Stress States
    Principal Stress is tan(2θ)=2δ/([itex]\sigma[/itex]x-[itex]\sigma[/itex]y)
    Principal Strain is tan(2θ)=[itex]\gamma[/itex]xy/([itex]\epsilon[/itex]x-[itex]\epsilon[/itex]y)
    \gamma=\tau/G
    G=E/(2(1+v))


    3. The attempt at a solution

    tan(2θ)*([itex]\epsilon[/itex]x-[itex]\epsilon[/itex]y)=tan(2θ)*([itex]\sigma[/itex]x-[itex]\sigma[/itex]y)2(1+v)/2E

    I cannot see how to get rid of (1+v)/E, can anyone help me out please.
     
  2. jcsd
  3. Oct 12, 2012 #2
    What do the Hooke's law equations for each of the stresses explicitly in terms of the strains reduce to when σz is set equal to zero?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Princiap Stress and Strains
  1. Stress strain (Replies: 2)

  2. Stress / strain (Replies: 1)

  3. Stresses and Strains (Replies: 1)

Loading...