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EM 319 - 6th Quiz

# EM 319 - 6th Quiz - 1 A(σ 0 B(3σ 0 τ x1y1 2 σx =σ σy...

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Unformatted text preview: 1. A(σ, 0) B(3σ, 0) τ x1y1 2. σx =σ , σy =σz = 0 1 σ σ x − ν (σ y + σ z ) = E E 1 σ ε y = σ y − ν (σ z + σ x ) = −ν E E 1 σ ε z = σ z − ν (σ x + σ y ) = −ν E E [ [ [ εx = Change in length in x direction: aε x = σ E Change in length in y direction: aε y = − Change in length in z direction: tε z = − a νσ E νσ E t a σ x1 1. B(0, -τ ) σ x1 A(σ, τ ) τ x1y1 2. εx = εa , ε y = εc εx +εy εx −εy γ xy ε θ = 45 = + cos(2 × 45 o ) + sin (2 × 45 o ) = ε b o εa + εc 2 γ xy 2 2 + = ε b ⇒ γ xy = 2ε b − ε a − ε c 2 2 At an angle θ (2ε b − ε a − ε c ) ε + εc εa −εc ε x1 = a + cos 2θ + sin 2θ 2 2 2 (2ε b − ε a − ε c ) ε + εc εa −εc ε y1 = a − cos 2θ − sin 2θ 2 2 2 γ x1 y1 (2ε b − ε a − ε c ) ε −εc sin 2θ + cos 2θ =− a 2 2 2 ...
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EM 319 - 6th Quiz - 1 A(σ 0 B(3σ 0 τ x1y1 2 σx =σ σy...

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