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

$0\mathrm{.}07(V$:$H)$

Annual average of significant wave height $\frac{?}{\text{b}\text{a}\text{r}}(H)s$

$2\mathrm{.}6m$

Annual standard deviation of significant wave height $s$

$0\mathrm{.}4m$

Offshore $($deep$)$ storm wave height Weibull parameter $$

$1\mathrm{.}24$

Offshore $($deep$)$ storm wave height Weibull parameter A

$1\mathrm{.}22m$

Offshore $($deep$)$ storm wave height Weibull parameter B

$1\mathrm{.}17m$

Number of storms with Offshore $($deep$)$ Hs$>1\mathrm{.}5$ m during $20$ years $1746$

The waves for design are expected to have a period of $15s$ and coming with an angle of $45$ degrees with respect to the vector perpendicular to the shoreline.

Ton view

Problem $1.$ Offshore design wave $(1$ Points$).$ As a first step, determine the deep water wave whose wave height has a return period of $100$ years. Use the Weibull distribution parameters and storm occurrence rate from the table to calculate the design wave.