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PIANC E-Magazine - PIANC AIPCN welcome

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hf<br />

Fh<br />

Crown wall height in metres.<br />

Maximum horizontal force in N/m.<br />

The application range for the variables is shown<br />

in Figure 10.<br />

Fv<br />

Maximum up-lift force associated with<br />

the wave that has generated the maximum<br />

horizontal force in N/m.<br />

ρ Water density in kg/m 3 .<br />

g Gravity acceleration in m/s 2 .<br />

Figure 10. Application range of the equations<br />

Figure 11. Comparison between dimensionless forces estimated by the formulae<br />

and the forces observed in the laboratory tests. In red, 95 % bands of confidence.<br />

RMSE (1) associated with the square root fitting<br />

(Figure 11) is 0.16 for Fh (r 2 = 0.84) and 0.14 for<br />

Fv (r 2 = 0.86).<br />

Relative mean square errors for each of the nondimensionless<br />

formulae are given in Figure 12 below:<br />

Figure 12. Relative mean square error for each one of the formulae<br />

<strong>PIANC</strong> E-<strong>Magazine</strong> n° 144, November/novembre 2011 38

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