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Introduction à la théorie des poutres - mms2 - MINES ParisTech

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Théorie de Timoshenko, application du principe <strong>des</strong> travaux virtuels<br />

Principe <strong>des</strong> travaux virtuels pour <strong>la</strong> théorie de Timoshenko :<br />

On en déduit les conditions d’équilibre suivantes :<br />

W ∗<br />

int + W ∗ ext = 0 ∀ (U ∗ , V ∗ , θ ∗ ) (11)<br />

N ,1 + t = 0 T ,1 + p = 0 M ,1 − T = 0 (12)<br />

N(0) = −F 0 N(L) = F L T (0) = −P 0 T (L) = P L (13)<br />

M(0) = −M 0 M(L) = M L (14)<br />

MMS 2012, Théorie de Timoshenko <strong>Introduction</strong> à <strong>la</strong> théorie <strong>des</strong> <strong>poutres</strong> 11/28

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