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5003 Lectures - Faculty of Engineering and Applied Science

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E<strong>5003</strong> - Ship Structures I 202<br />

© C.G. Daley<br />

Thin Walled Torsion<br />

Torsion in thin walled sections differs greatly<br />

between ‘open’ <strong>and</strong> ‘closed’ sections.<br />

To examine the difference between open <strong>and</strong><br />

closed sections we first make some simplifying<br />

assumptions;<br />

• sections are prismatic<br />

• no in-plane deformation (cross sections only<br />

rotate)<br />

• small out <strong>of</strong> plane deformations (warping)<br />

Thin Walled Torsion – Open Sections<br />

Consider an open section, built-in at its base <strong>and</strong><br />

subject to a torsion at the free end.<br />

The section rotates about a point called the shear<br />

center. Point ‘p’ moves in the y <strong>and</strong> z direction due<br />

to rotation <strong>and</strong> in the x direction due to ‘warpage’.<br />

The displacements <strong>of</strong> point ‘p’

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