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Nota de aula 9 - Estado Plano de Tensões - Resistência dos ...

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<strong>Estado</strong> <strong>Plano</strong> <strong>de</strong> Tensões<br />

Círculo <strong>de</strong> Mohr<br />

Decomposição do tensor <strong>de</strong> tensão<br />

Concluindo, po<strong>de</strong>mos afirmar que, se = ⎣ σ˜<br />

então:<br />

σ h = σ xx + σ yy + σ zz<br />

3<br />

˜<br />

⎡<br />

⎣<br />

⎡<br />

1 0 0<br />

0 1 0<br />

0 0 1<br />

⎤<br />

σ xx τ xy τ xz<br />

τ yx σ yy τ yz<br />

⎦,<br />

τ zx τ zy σ zz<br />

⎤<br />

⎦ (19)<br />

e:<br />

σ D˜<br />

⎡<br />

= ⎣<br />

σ xx − p τ xy τ xz<br />

τ yx σ yy − p τ yz<br />

τ zx τ zy σ zz − p<br />

⎤<br />

⎦ com p =<br />

σ xx + σ yy + σ zz<br />

3<br />

(20)<br />

Flávia Bastos RESMAT II 16/16

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