Design wave: A coastal infrastructure project includes a pier which has a dockin

Design wave: A coastal infrastructure project includes a pier which has a docking site at the end. The operation needs to be out of the breaking zone and where sediments move. The pier deck will host high tech equipment which cannot be flooded by sea water. Some of the characteristics of the sea climate is shown in the following table:
Beach slope
0.1 (V:H)
Annual average of significant wave height, ��¯
6.1 m
Annual standard deviation of significant wave height, ��
0.4 m
Offshore (deep) storm wave height Weibull parameter, �
1.24
Offshore (deep) storm wave height Weibull parameter, A
1.22 m
Offshore (deep) storm wave height Weibull parameter, B
1.17 m
Number of storms with Offshore (deep) Hs>1.5 m during 20 years
1546
The waves for design are expected to have a period of 15 s and coming with an angle of 30 degrees with respect to the vector perpendicular to the shoreline.
As a first step, determine the deep water wave whose wave height has a return period of 80 years. Use the Weibull distribution parameters and storm occurrence rate from the table.
The pier includes a docking site at the end. As a safety measure, the dock (end of pier) must be 80 m away from the breaking zone and the sediment closure depth. Determine the length of the pier and the depth at the docking site.
Hint 1: For the breaking criterion use k=0.78=H/h. You can use the approximation of lecture notes (i.e. the wave angle is approximately 0 at the breaking zone). Use the wave height of (a) to get the deep water wave.
Hint 2: For the closure depth use the “deeper seaward closure depth” and the formula of Hallermeier and Birkemeier. Compute He with �� and ��¯ from the table.
3. Determine the actual wave propagation angle of the design wave at the end of the pier and the wave height. Determine the minimum height of the pier so it only gets flooded with a return period of 80 years.
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