By repeating this procedure for various choices of it is possible to determine the maximum horizontal force and moment around the mud line for the pile group.
is an even function, and
is an odd funtion; hence
and
and calculations need only be done for radians. Equations (48) and (49) are true for any wave that is symmetric about its crest, and are therefore applicable if the wave tables of Skjelbreia et al. (1960) and Dean (1974) are used. When these tables are used, the wavelength computed from the appropriate finite amplitude theory should be used to transform
into distance from the wave crest, X.
The procedure is illustrated by the following examples. For simplicity, Airy theory is used and only maximum horizontal force is considered. The same computation procedure is used for calculating maximum moment.