Consider the breakwater (shown below) that is being built to protect a harbour which will be dredged to a uniform depth

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Consider The Breakwater Shown Below That Is Being Built To Protect A Harbour Which Will Be Dredged To A Uniform Depth 1 (205.09 KiB) Viewed 9 times

Consider The Breakwater Shown Below That Is Being Built To Protect A Harbour Which Will Be Dredged To A Uniform Depth 2 (282.95 KiB) Viewed 9 times

Consider The Breakwater Shown Below That Is Being Built To Protect A Harbour Which Will Be Dredged To A Uniform Depth 3 (397.39 KiB) Viewed 9 times

Consider the breakwater (shown below) that is being built to protect a harbour which will be dredged to a uniform depth of 9 m. NORTH COASTLINE (X m, Ym) 45° (450m, 450m) A (380.57m, 380.57m) (Om, Om) BREAKWATER NOT TO SCALE For a 3 m wave height with a wave period of 11 s coming from the E (i.e. from 90° clockwise relative to North) determine the required X and Y coordinates at the end of breakwater arm to make sure the wave height at Point A is not greater than 0.39 m. Ensure that the most cost effective solution is given (i.e. smallest breakwater length). Ignore any reflection effects in the basin. (Note: Wiegel diffraction tables are provided at the end of this paper. Assume the breakwater acts as a semi-infinite breakwater)
incident wave direction Constant depth Hd Point of interest H Barrier Wave crest Fig 1: Semi-Infinite breakwater parameters (Sorensen, 2006) Table 1: Kd versus , B, r/L for Semi-Infinite Breakwater as reported by Wiegel 1962 (Sorensen, 2006) B (Degrees) r/L 0 15 30 45 60 75 90 105 120 135 150 165 180 O= 15° 1/2 0.49 0.79 0.83 0.90 0.97 1.01 1.03 1.02 1.01 0.99 0.99 1.00 1 0.38 0.73 0.83 0.95 1.04 1.04 0.99 0.98 1.01 1.01 1.00 .100 2 0.21 0.68 0.86 1.05 1.03 0.97 1.02 0.99 1.00 1.00 1.00 1.00 5 0.13 0.63 0.99 1.04 1.03 1.02 0.99 0.99 1.00 1.01 1.00 1.00 10 0.35 0.58 1.10 1.05 0.98 0.99 1.01 1.00 1.00 1.00 1.00 1.00 0 = 30° 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1/2 0.61 0.63 0.68 0.76 0.87 0.97 1.03 1.05 1.031.01 0.99 0.95 1 0.50 0.53 0.63 0.78 0.95 1.06 1.05 0.98 0.98 1.01 1.01 0.97 2 0.40 0.44 0.59 0.84 1.07 1.03 0.96 1.02 0.98 1.01 0.99 0.95 5 0.27 0.32 0.55 1.00 1.04 1.04 1.02 0.99 0.99 1.00 1.01 0.97 10 0.20 0.24 0.54 1.12 1.06 0.97 0.99 1.01 1.00 1.00 1.00 0.98 0 = 45° 1/2 0.49 0.50 0.55 0.63 0.73 0.85 0.96 1.04 1.06 1.04 1.00 0.99 1 0.38 0.40 0.47 0.59 0.76 0.95 1.07 1.06 0.98 0.97 1.01 1.01 2 0.29 0.31 0.39 0.56 0.83 1.08 1.04 0.96 1.03 0.98 1.01 1.00 5 0.18 0.20 0.29 0.54 1.01 1.04 1.05 1.03 1.00 0.99 1.01 1.00 10 0.13 0.15 0.22 0.53 1.13 1.07 0.96 0.98 1.02 0.99 1.00 1.00 1.00 1.00 1.00 1.00 1.00
Table 1 continued... B (Degrees) r/L 0 15 30 45 60 75 90 105 120 135 150 165 180 = 60° 1/2 0.40 0.41 0.45 0.52 0.60 0.72 0.85 1.13 1.04 1.06 1.03 1.01 1.00 1 0.31 0.32 0.36 0.44 0.57 0.75 0.96 1.08 1.06 0.98 0.98 1.01 1.00 2 0.22 0.23 0.28 0.37 0.55 0.83 1.08 1.04 0.96 1.03 0.98 1.01 1.00 5 0.14 0.15 0.18 0.28 0.53 1.01 1.04 1.05 1.03 0.99 0.99 1.00 1.00 10 0.10 0.11 0.13 0.21 0.52 1.14 1.07 0.96 0.98 1.01 1.00 1.00 1.00 0= 75° 1/2 0.34 0.35 0.38 0.42 0.50 0.59 0.71 0.85 0.97 1.04 1.05 1.02 1.00 1 0.25 0.26 0.29 0.34 0.43 0.56 0.75 0.95 1.02 1.06 0.98 0.98 1.00 2 0.18 0.19 0.22 0.26 0.36 0.54 0.83 1.09 1.04 0.96 1.03 0.99 1.00 5 0.12 0.12 0.13 0.17 0.27 0.52 1.01 1.04 1.05 1.03 0.99 0.99 1.00 10 0.08 0.08 0.10 0.13 0.20 0.52 1.14 1.07 0.96 0.98 1.01 1.00 1.00 0 = 90° 1/2 0.31 0.31 0.33 0.36 0.41 0.49 0.59 0.71 0.85 0.96 1.031.03 1.00 1 0.22 0.23 0.24 0.28 0.33 0.42 0.56 0.75 0.96 1.07 1.05 0.99 1.00 2 0.16 0.16 0.18 0.20 0.26 0.35 0.54 0.69 1.08 1.04 0.96 1.02 1.00 5 0.10 0.10 0.11 0.13 0.16 0.27 0.53 1.01 1.04 1.05 1.02 0.99 1.00 10 0.07 0.07 0.08 0.09 0.13 0.20 0.52 1.14 1.07 0.96 0.99 1.01 1.00 0= 105° 0.41 1/2 0.28 0.28 0.29 0.32 0.35 0.49 0.59 0.72 0.85 0.97 1.01 1.00 1 0.20 0.20 0.24 0.23 0.27 0.33 0.42 0.56 0.75 0.95 1.06 1.04 1.00 2 0.14 0.14 0.13 0.17 0.20 0.25 0.35 0.54 0.83 1.08 1.03 0.97 1.00 5 0.09 0.09 0.10 0.11 0.13 0.17 0.27 0.52 1.02 1.04 1.04 1.02 1.00 10 0.07 0.06 0.08 0.08 0.09 0.12 0.20 0.52 1.14 1.07 0.97 0.99 1.00 0 = 120° 1/2 0.25 0.26 0.27 0.28 0.31 0.35 0.41 0.50 0.60 0.73 0.87 0.97 1.00 1 0.18 0.19 0.19 0.21 0.23 0.27 0.33 0.43 0.57 0.76 0.95 1.04 1.00 2 0.13 0.13 0.14 0.14 0.17 0.20 0.26 0.16 0.55 0.83 1.07 1.03 1.00 5 0.08 0.08 0.08 0.09 0.11 0.13 0.16 0.27 0.53 1.01 1.04 1.03 1.00 10 0.06 0.06 0.06 0.07 0.07 0.09 0.13 0.20 0.52 1.13 1.06 0.98 1.00 0 = 135° 1/2 0.24 0.24 0.25 0.26 0.28 0.32 0.36 0.42 0.52 0.63 0.76 0.90 1.00 1 0.18 0.17 0.18 0.19 0.21 0.23 0.28 0.34 0.44 0.59 0.78 0.95 1.00 2 0.12 0.12 0.13 0.14 0.14 0.17 0.20 0.26 0.37 0.56 0.84 1.05 1.00 5 0.08 0.07 0.08 0.08 0.09 0.11 0.13 0.17 0.28 0.54 1.00 1.04 1.00 10 0.05 0.06 0.06 0.06 0.07 0.08 0.09 0.13 0.21 0.53 1.12 1.05 1.00