2. Example Problems . 



************* EXAMPLE PROBLEM i************** 



GIVEN : An impermeable structure has a smooth slope of 1 on 0.5 



C63.4° or 1.107 radians) and is fronted by a horizontal bottom. 

 The design depth at the structure toe is d g = 10.0 meters (33 

 feet); design wave height is H = 1.25 meters (4.1 feet); and 

 design wave period is T = 3.2 seconds. 



FIND : Using the flow chart in Figure 6, determine the expected relative 

 runup of a wave approaching the structure at perpendicular incidence. 



SOLUTION: In following the flow chart note that d^, the depth where 

 the wave height is measured, is the same as the toe depth, d^; 



-£_ = — T = 0.0996 > 0.08 . 



gT 2 (9.8) (3. 2) 2 



Therefore, 



H « H^ = 1.25 meters 



H' 1 ,,. 

 o = ±^£5 = _ 01246 



gT 2 (9.8) (3. 2) 2 



sinfe JW = (0.894^ CTTOgTr, 0>034> 



2tt 2 V it 2tt 2 \ 7T 



sin 2 6 126 



Thus , 



gT z 2i\< 



and from Miche (1951) (eq. 4), this is a nonbreaking wave. 



cot 6 = 0.5 < 5 ; 



Then (from eq. 6) 



R _ /tP_ / Tf 



% ~ \26 \2(1.107) 



= 1.19 



Alternatively, the relative runup can be determined using the runup 

 curves given in Section V,l. 



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