Stress Transformations

Stress Transformations - Principal Stresses: Mohr's Circle...

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AME 238: Mechanics of Solids (R.K. Roeder) Principal Stresses: Mohr's Circle 2D: σ τ xx xy ) 1 ,0 ) yy ,−τ xy ) 2 ,0 ) avg ,0 ) avg max ) tan(2 θ) = ––––– 2 τ xy σ xx - σ yy σ 1 , σ 2 = –––––– ± ––––– 2 + τ xy 2 σ xx + σ yy 2 σ xx - σ yy 2 σ avg = –––––– 2 σ xx + σ yy τ max = ––––– = ––––– 2 + τ xy 2 σ 1 - σ 2 2 σ xx - σ yy 2 3D: σ τ 1 ,0 ) 2 ,0 ) τ max 3 ,0 ) attainable stress states
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AME 238: Mechanics of Solids (R.K. Roeder)
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Stress Transformations - Principal Stresses: Mohr's Circle...

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