P(o D ) = -¥- exp 



(17) 



The mean of the maximum pulsating stress, which is linearly related to the 

 average of the highest one- tenth (H 1/10 ) of the waves in a 30-min time series, 

 can be expressed as 



pmax 



= ViAo (18) 



where 



k n =1.547 psi/ft (19) 



-ps 



where wave height is in feet. H 1/10 is computed using the zero-downcrossing 

 method of analysis. 



58. For dolosse at Crescent City, the pulsating response is very well 

 defined. Because the mean of the maximum stresses for each 30-min time series 

 is linearly related to H 1/10 , the designer is able to choose a mean stress 

 given the design wave height. This mean stress can then be used to generate a 

 Rayleigh EPF. Other extremal probability distributions that can be used to 

 model the pulsating response have been investigated, but the Rayleigh distri- 

 bution has proved to fit the Crescent City data well at stress levels for 

 which the designer is interested. The wave stress constant can be non- 

 dimensionalized with dolos size and concrete density but is most likely 

 site-dependent. As more pulsating response data become available from ongoing 

 parametric physical model tests, the range of this constant will become better 

 defined. 



59. The random pulsating stress variable given in Equation 18 can be 

 nondimensionalized as was done for static stress. 



-/ . k P s H i/io (20) 



"pmax £ 



60. Some variables that may affect this pulsating distribution but 

 that are not explicitly included in this design procedure include: 



a. Effect of depth -dependent breaker shape on structural 

 response . 



b. Shape of the wave spectrum. 



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