3 slope and 



-^=— = 0.00412, — = 2.1 



The runup, uncorrected for scale effects, is 



R = (2.1) (H^) 



= (2.1) (8.5) 

 R = 17.9 feet (5.5 meters) . 



The scale-correction factor, k, can be determined from 

 Figure 13, and, for cot 6=3, the correction factor is 

 k = 1.12. 



Thus, the corrected runup is 



R = (1.12) (17.9) = 20.0 feet (6.1 meters) . 



************* EXAMPLE PROBLEM 2************** 



GIVEN : An impermeable, smooth, 1 on 2 structure is fronted by a 1 on 

 10 bottom slope. Toe depth for the structure is dg = 10 feet (3 

 meters), but the bottom slope extends seaward to a depth of 50 feet 

 (15.2 meters), beyond which the slope is approximately 1 on 100. 

 The design wave approaches normal to the structure and has a height 

 of H = 9 feet (2.7 meters) and period of T = 9 seconds, measured at 

 a depth of 55 feet (16.8 meters). 



FIND: The height of wave runup using the appropriate set of curves. 



SOLUTION : The wave height given is not the deepwater wave height; it 

 is measured, however, above the gentle 1 on 100 bottom slope which 

 approximates a horizontal surface. To determine the shoaling coeffi- 

 for the location of measurement, calculate 



Lo gT2/2^ 



55 

 (5.12)(9)2 



0.1326 . 



27 



