************** EXAMPLE PROBLEM *************** 



GIVEN: A design wave H = 10 ft. with a period T = 8 sec. in a depth 

 d~^ 40 £t. 



FIND: The ratio of wave height to breaking height. 



SOLUTION : Calculate, 



d 40 



gT^ (32.2) (8)2 



= 0.0194. 



Enter Figure 7-47 with d/gT^ = 0.0194 to the curve marked Breaking 

 Limit and read, 



—, = 0.015. 



Therefore, 



H^ = 0.015 gT^ = 0.015 (32.2) (8)2 = 30.1 ft. 



The ratio of the design wave height to the breaking height is 



H 10 



= = 0.33. 



H^ 30.1 



************************************* 



By using Equations 7-30 through 7-33 with Figures 7-43 through 7-46, 

 the maximum values of the force and moment components can be found. To 

 estimate the maximum total force F^ Figures 7-48 through 7-51 by Dean 

 (1965a) may be used. The figure to be used is determined by calculating, 



W = (7-34) 



and the maximum force is calculated by 



Fm = <^m wC^H^D, (7-35) 



where (J);?? is the coefficient read from the figures. Similarly, the 

 maximum moment J^ can be determined from Figures 7-52 through 7-55 

 which are also based on Dean's stream-function theory. (Dean, 1965a.) 

 The figure to be used is again determined by calculating W by Equation 

 7-34 and the maximum moment about the mud line (z = -d) is found from 



Mm " "m wC^H^Dd, (7-36) 



where a^ is the coefficient read from the figures. 



Calculation of the maximum force and moment on a vertical cylindrical 

 pile is illustrated by the following example. 



7-80 



