Therefore, determine if H^/gT 2 is greater than the appropriate 

 value in Figure 4. First, from Figure 4, for cot 0=3 and 



dg/gT z = 0.006, 



-) « 0.0017 



Fig. 



gT< 



Thus, 



-^- = 0.002 > \-—\ « 0.0017 , 



gT 2 \g T2 /Fig. 4 



and the wave is breaking. Also, cot 9 = 3 > 2, so equation (8) may 

 be used. From Figure 5, for cot 9 = 3, q = 0.555. 



q - 1 = -0.445 



vq-1 



/H 1 V 

 = (cot G)" 1 - 04 (4.23) (lO) 2 ^- 1 ) I -2- J 



= (3)- l - 0k (4.23) (10)" - 89 (0.002) "°- 41+5 

 = (0.319)(4.23)(0.1288)(15.887) 



= 2 . 76 . 



Again, as in example problem 2, the answer should be increased 

 by the appropriate scale-effect correction factor (discussed in 

 Sec. VI). This example problem can also be derived using the 

 smooth-slope runup curves given in Section V, 1. 



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



IV. QUALITATIVE ANALYSIS 

 1. General . 



Laboratory studies of runup generally have indicated relative runup 

 in terms of wave steepness (e.g., R/H^ versus H^/gT 2 or R/H versus H/L) , 

 but have not always been specific about relative depth effects. Some 

 studies have presented data for only limited wave conditions. It is 

 important that all variables be investigated. Valid simplifications 

 have been made, but it is necessary to know the limiting conditions for 

 such simplifications. 



29 



