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

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Timoshenko Beam<br />

<strong>The</strong> Shear locking Phenomenon<br />

This occurs when significant bending is present. It is owed to <strong>the</strong> use<br />

<strong>of</strong> linear shape functions that cannot accurately model <strong>the</strong> curvature<br />

that is present in <strong>the</strong> actual material under bending condition.<br />

Instead, a shear stress is introduced which causes <strong>the</strong> element to<br />

reach equilibrium conditions <strong>for</strong> smaller displacements that <strong>the</strong> real<br />

ones.<br />

<strong>The</strong> element <strong>the</strong>re<strong>for</strong>e appears stiffer.<br />

Institute <strong>of</strong> Structural Engineering <strong>Method</strong> <strong>of</strong> <strong>Finite</strong> <strong>Element</strong>s II 36

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