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STAVEBNÍ MECHANIKA 3 - SM 3 - Jenin

STAVEBNÍ MECHANIKA 3 - SM 3 - Jenin

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Energie a virtuální práce [J]<br />

• Virtuální práce vnitřních sil<br />

δEi =<br />

δE ∗ i<br />

• Energie vnitřních sil<br />

=<br />

Ei =<br />

E ∗ i<br />

=<br />

<br />

<br />

<br />

<br />

Ω<br />

Ω<br />

Ω<br />

Ω<br />

<br />

δW dΩ = E(ε − ε0)δε dΩ (35)<br />

Ω<br />

δW ∗ <br />

dΩ =<br />

<br />

σ<br />

<br />

+ ε0 δσ dΩ<br />

E<br />

(36)<br />

W dΩ = 1<br />

<br />

2<br />

W ∗ <br />

dΩ =<br />

Počáteční deformace - vliv teploty: ε0 = αT<br />

Nerovnoměrné ohřátí/ochlazení: T = T (z) → T (z) = T0 + ∆T z<br />

h<br />

Ω<br />

Ω<br />

Ω<br />

E(ε − ε0) 2 dΩ (37)<br />

<br />

1 σ<br />

2<br />

2 <br />

+ σε0 dΩ<br />

E<br />

(38)

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