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5003 Lectures - Faculty of Engineering and Applied Science

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E<strong>5003</strong> - Ship Structures I 54<br />

© C.G. Daley<br />

1.1 L Wave<br />

L/20 waves have been found to be too conservative for large vessels, esp. for vessels<br />

>500 ft. A more modern version <strong>of</strong> the 1 . 1 L wave. In this case;<br />

as before, LW = LBP<br />

H w<br />

or<br />

= 1.<br />

1 L BP (in feet)<br />

H = 0.<br />

607 L (in meters)<br />

w<br />

BP<br />

For trochoidal waves this gives;<br />

L BP<br />

R = , r = . 55 L (feet) or BP<br />

r = . 303 L (meters)<br />

BP<br />

2π<br />

Calculating Wave Bending Moments<br />

We can now calculate the wave bending moments by placing the ship on the design<br />

wave. We can use the bonjean curves to determine the buoyancy forces due to the<br />

quasi-static effects <strong>of</strong> the wave;<br />

The steps to determine the wave bending moment are;<br />

1. Obtain bonjeans<br />

2. at each station determine the still water buoyancy forces, using the design<br />

draft. Fisw = Aisw li ρg<br />

3. at each station determine the total buoyancy forces, using the local draft in<br />

that portion <strong>of</strong> the wave. Fiwt = Aiwt li ρg<br />

4. The net wave buoyancy forces are the difference between wave <strong>and</strong> still<br />

water. Fiwave=Fiwt-Fisw

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