the slope is approximately 1 on 100. However, a range of wave 

 periods ; 

 meters) . 



periods and deepwater wave heights are known; H' <. 16 feet (4.9 



FIND : Maximum runup for three different wave conditions: Tmax - 1 

 seconds; 'Yynax ~ 1^ seconds; and constant wave steepness, H'/gT^ = 

 0.0101, with T^^ = 7 seconds. 



SOL UTION : For any given dg/H^ value, the design curves show that 

 relative runup is highest for the longest wave period (or the 

 lowest wave steepness, H^/gT^). However, for constant toe depth, 

 dg, and for constant wave steepness, the largest wave height 

 (or lowest dg/H^ value) usually results in the largest absolute 

 runup, R. When a sloping bottom is present, and wave period 

 and toe depth (dg) are held constant, the maximum runup may occur 

 at other than the minimum dg/H^ value. Thus, runup for a range 

 of dcj/HJ, values should be investigated. 



In the following development, preliminary determinations 

 of runup are not corrected for scale effect. Only the final 

 runup, as determined for selected wave conditions and structure 

 slope, is corrected. 



(a) The maximum wave height given is W^ = 16 feet; for 

 this location, the resultant dg/H^ value is 



££=10= 0.63 

 Hi 16 



which is approximately the lowest value used in Figures 8 to 11. 

 The maximum runup may be determined by constructing a table for 

 varying conditions. Because the maximum wave period is less here 

 than in example problem 2, L is also less; thus, l/L > 0.5 and 

 Figures 8 to 11 may be used. Furthermore, Figure 12 indicates 

 that the results in Figures 8 to 11 are approximately correct, to 

 model scale. For dg = 10 feet, T = 7 seconds, and gT^ = 1,577.8 

 feet. Table 1 may be constructed with T held constant at 7 

 seconds because the maximum wave period results in the highest 

 relative runup for each value of dg/U^. The maximum runup of 

 23.5 feet (7.2 meters) in Table 1 does not occur for the largest 

 wave height because the largest waves break seaward of the 

 structure for the given wave period. 



30 



