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The Finite Element Method for the Analysis of Non-Linear and ...

The Finite Element Method for the Analysis of Non-Linear and ...

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<strong>The</strong> Beam <strong>Element</strong> in Large Displacements<br />

Example:<br />

<strong>The</strong>n, <strong>the</strong> incremental displacements are given by<br />

<strong>and</strong> u i =<br />

N∑<br />

N k u k i + t 2<br />

k=1<br />

N∑<br />

k=1<br />

a k N k V k<br />

ti + s 2<br />

N∑<br />

k=1<br />

b k N k V k<br />

si, i = 1, 2<br />

hence:<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 46

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