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5003 Lectures - Faculty of Engineering and Applied Science

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E<strong>5003</strong> - Ship Structures I 43<br />

© C.G. Daley<br />

Topic 5: Longitudinal Strength: Murray’s Method<br />

Battleship TEXAS<br />

Introduction<br />

In this chapter we will<br />

Discuss Murray’s Method to estimate still water bending moments<br />

~~~~~~~~~~~~~~~~~~~~<br />

Murray’s Method<br />

Murray’s method is based on the idea that forces <strong>and</strong> moments in a ship are selfbalancing<br />

(no net force or moment is transferred to the world). Any set <strong>of</strong> weight<br />

<strong>and</strong> buoyancy forces are in balance.<br />

Also, for any cut at x, the moment at the cut can be determined in two ways;<br />

BM ( x)<br />

= y L − y L<br />

= y<br />

5<br />

1<br />

L<br />

5<br />

1<br />

− y<br />

3<br />

2<br />

L<br />

3<br />

2<br />

− y<br />

Murray applied this idea to a ship:<br />

4<br />

L<br />

4

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