Hidrostatik Bonjean

8/13/2019 Hidrostatik Bonjean

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Ukuran Utama Kapal :Lpp 76 mB 13.6 mH 6.8 mT 5.5 mVs 12 knot

Jarak stationa 3.8 mg 1.025 ton/m3


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A1HYDROSTATIC CALCULATION OF MAIN PART

Ord Lver Simp 0 mwl 0.5 mwl 1 mwl Function Cubes of Function Function for

of mult S'= 1 S'=4 S'= 1 of area (YS')S Moment ordinates of cubes CG of

number n S YS' YS Y YS' YS YS' YS YS' (YS')Sn Y^3 Y^3 S

AP -10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001 -9 4 0.000 0.000 0.000 0.000 0.000 0.320 1.280 0.320 1.280 -11.520 0.033 0.1312 -8 2 0.10 0.208 0.94 3.764 1.882 1.18 2.360 5.048 10.096 -80.768 1.643 3.2863 -7 4 1.04 4.140 1.89 7.552 7.552 2.15 8.608 10.739 42.956 -300.692 9.966 39.865 -

4 -6 2 1.93 3.850 3.45 13.796 6.898 3.86 7.716 19.579 39.158 -234.948 57.423 114.846 -45 -5 4 3.24 12.960 4.78 19.100 19.100 5.24 20.968 27.582 110.328 -551.640 144.043 576.171 -1046 -4 2 4.33 8.662 5.64 22.564 11.282 6.09 12.170 32.980 65.960 -263.840 225.311 450.621 -47 -3 4 5.03 20.104 6.16 24.636 24.636 6.53 26.100 36.187 144.748 -434.244 277.806 1111.224 -788 -2 2 5.39 10.780 6.47 25.868 12.934 6.74 13.478 37.997 75.994 -151.988 306.046 612.092 -29 -1 4 5.39 21.560 6.47 25.868 25.868 6.74 26.956 37.997 151.988 -151.988 306.046 1224.183 -26

10 0 2 5.39 10.780 6.47 25.868 12.934 6.74 13.478 37.997 75.994 0.000 306.046 612.09211 1 4 5.39 21.560 6.47 25.868 25.868 6.74 26.956 37.997 151.988 151.988 306.046 1224.183 2

12 2 2 5.39 10.780 6.47 25.868 12.934 6.74 13.478 37.997 75.994 151.988 306.046 612.092 213 3 4 5.17 20.680 6.23 24.912 24.912 6.59 26.372 36.675 146.700 440.100 286.582 1146.329 7914 4 2 4.62 9.248 6.06 24.256 12.128 6.44 12.880 35.320 70.640 282.560 267.090 534.180 515 5 4 3.86 15.428 5.66 22.644 22.644 6.14 24.540 32.636 130.544 652.720 230.911 923.642 1216 6 2 2.50 5.006 4.68 18.712 9.356 5.12 10.238 26.334 52.668 316.008 134.139 268.278 617 7 4 1.51 6.020 3.47 13.892 13.892 3.86 15.444 19.258 77.032 539.224 57.557 230.229 1018 8 2 0.48 0.962 1.78 7.104 3.552 2.11 4.228 9.699 19.398 155.184 9.447 18.89519 9 4 0.000 0.000 0.000 0.000 0.000 0.460 1.840 0.460 1.840 16.560 0.097 0.389

FP 10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000Function of WL 1445.31 (1) 9702.73 (5)

S YS 182.73 248.37 269.09 (4) 524.70 (3)

Simpson Multiplier 1 4 1

S'

S (YS) S' 182.73 993.5 269.09 1445.31 (1)Multipler for lever

n' -1 0 1


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A2HYDROSTATIC CALCULATION OF MAIN PART

1 mwl 1.5 mwl 2 mwl Function Cubes of Function Function fo

S'= 1 S'=4 S'= 1 of area (YS')S Moment ordinates of cubes CG of

ORD N S YS' YS Y YS' YS YS' YS YS' (YS')Sn Y^3 Y^3 S

AP -10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001 -9 4 0.320 1.280 0.358 1.432 1.432 0.360 1.440 2.112 8.448 -76.032 0.047 0.1872 -8 2 1.18 2.360 1.345 5.380 2.690 1.50 2.992 8.056 16.112 -128.896 3.348 6.6963 -7 4 2.15 8.608 2.427 9.708 9.708 2.77 11.092 14.633 58.532 -409.724 21.323 85.292 -4 -6 2 3.86 7.716 4.179 16.716 8.358 4.45 8.902 25.025 50.050 -300.300 88.181 176.361 -5 -5 4 5.24 20.968 5.599 22.396 22.396 5.91 23.620 33.543 134.172 -670.860 205.902 823.606 -116 -4 2 6.09 12.170 6.367 25.468 12.734 6.55 13.104 38.105 76.210 -304.840 281.269 562.538 -57 -3 4 6.53 26.100 6.709 26.836 26.836 6.78 27.128 40.143 160.572 -481.716 311.942 1247.767 -88 -2 2 6.74 13.478 6.800 27.200 13.600 6.80 13.600 40.739 81.478 -162.956 314.432 628.864 -29 -1 4 6.74 26.956 6.800 27.200 27.200 6.80 27.200 40.739 162.956 -162.956 314.432 1257.728 -2

10 0 2 6.74 13.4786.800

27.200 13.600 6.80 13.600 40.739 81.478 0.000 314.432 628.86411 1 4 6.74 26.956 6.800 27.200 27.200 6.80 27.200 40.739 162.956 162.956 314.432 1257.728 212 2 2 6.74 13.478 6.800 27.200 13.600 6.80 13.600 40.739 81.478 162.956 314.432 628.864 213 3 4 6.59 26.372 6.760 27.040 27.040 6.80 27.200 40.433 161.732 485.196 314.432 1257.728 814 4 2 6.44 12.880 6.635 26.540 13.270 6.71 13.424 39.692 79.384 317.536 302.382 604.764 5

15 5 4 6.14 24.540 6.341 25.364 25.364 6.43 25.720 37.929 151.716 758.580 265.848 1063.391 12

16 6 2 5.12 10.238 5.358 21.432 10.716 5.49 10.970 32.036 64.072 384.432 165.017 330.035 617 7 4 3.86 15.444 3.992 15.968 15.968 4.06 16.220 23.884 95.536 668.752 66.676 266.706 1118 8 2 2.11 4.228 2.261 9.044 4.522 2.34 4.670 13.493 26.986 215.888 12.731 25.46219 9 4 0.460 1.840 0.801 3.204 3.204 0.900 3.600 4.564 18.256 164.304 0.729 2.916FP 10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Function of WL 1672.12 (1) 10855.50 (5)S YS 269.09 279.44 285.28 (4) 622.32 (3) 93


S'S (YS) S' 269.09 1118 285.28 1672.12 (1)

Multipler for lever

n' -1 0 1


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HYDROSTATIC CALCULATION OF MAIN PART2 mwl 2.5 mwl 3 mwl Function Cubes of Function Function for

S'= 1 S'=4 S'= 1 of area (YS')S Moment ordinates of cubes CG of W


AP -10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001 -9 4 0.360 1.440 0.379 1.516 1.516 0.426 1.704 2.302 9.208 -82.872 0.077 0.309 -2 -8 2 1.50 2.992 1.684 6.736 3.368 1.95 3.896 10.180 20.360 -162.880 7.392 14.784 -33 -7 4 2.77 11.092 3.260 13.040 13.040 3.98 15.924 19.794 79.176 -554.232 63.092 252.369 -1114 -6 2 4.45 8.902 5.043 20.172 10.086 5.81 11.622 30.434 60.868 -365.208 196.224 392.448 -695 -5 4 5.91 23.620 6.161 24.644 24.644 6.38 25.536 36.933 147.732 -738.660 260.183 1040.731 -127.6 -4 2 6.55 13.104 6.669 26.676 13.338 6.74 13.472 39.964 79.928 -319.712 305.637 611.274 -537 -3 4 6.78 27.128 6.800 27.200 27.200 6.80 27.200 40.782 163.128 -489.384 314.432 1257.728 -818 -2 2 6.80 13.600 6.800 27.200 13.600 6.80 13.600 40.800 81.600 -163.200 314.432 628.864 -279 -1 4 6.80 27.200 6.800 27.200 27.200 6.80 27.200 40.800 163.200 -163.200 314.432 1257.728 -27

10 0 2 6.80 13.600 6.800 27.200 13.600 6.80 13.600 40.800 81.600 0.000 314.432 628.86411 1 4 6.80 27.200 6.800 27.200 27.200 6.80 27.200 40.800 163.200 163.200 314.432 1257.728 2712 2 2 6.80 13.600 6.800 27.200 13.600 6.80 13.600 40.800 81.600 163.200 314.432 628.864 2713 3 4 6.80 27.200 6.800 27.200 27.200 6.80 27.200 40.800 163.200 489.600 314.432 1257.728 8114 4 2 6.71 13.424 6.784 27.136 13.568 6.80 13.600 40.648 81.296 325.184 314.432 628.864 5415 5 4 6.43 25.720 6.474 25.896 25.896 6.49 25.960 38.816 155.264 776.320 273.359 1093.438 129.16 6 2 5.49 10.970 5.549 22.196 11.098 5.58 11.160 33.261 66.522 399.132 173.741 347.482 6617 7 4 4.06 16.220 4.101 16.404 16.404 4.13 16.532 24.592 98.368 688.576 70.599 282.394 11518 8 2 2.34 4.670 2.395 9.580 4.790 2.45 4.894 14.362 28.724 229.792 14.652 29.304 319 9 4 0.900 3.600 0.961 3.844 3.844 1.014 4.056 5.758 23.032 207.288 1.043 4.170 3FP 10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Function of WL 1748.01 (1) 11615.07 (5)S YS

285.28 291.19 297.96 (4) 402.94 (3)Simpson Multiplier 1 4 1

S'S (YS) S' 285.28 1,164.8 297.96 1748.01 (1)

Multipler for lever

n' -1 0 1S (YS) S' n' -285.28 0.00 297.96 12.67 (2)


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3 mwl 3.5 mwl 4 mwl Function Cubes of Function Function

S'= 1 S'=4 S'= 1 of area (YS')S Moment ordinates of cubes CGORD N S YS' YS Y YS' YS YS' YS YS' (YS')Sn Y^3 Y^3 S

AP -10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001 -9 4 0.426 1.704 0.536 2.144 2.144 0.791 3.164 3.361 13.444 -120.996 0.495 1.9802 -8 2 1.95 3.896 2.347 9.388 4.694 3.134 6.268 14.470 28.940 -231.520 30.782 61.5643 -7 4 3.98 15.924 4.959 19.836 19.836 5.685 22.740 29.502 118.008 -826.056 183.735 734.9394 -6 2 5.81 11.622 6.073 24.292 12.146 6.399 12.798 36.502 73.004 -438.024 262.021 524.0425 -5 4 6.38 25.536 6.522 26.088 26.088 6.640 26.560 39.112 156.448 -782.240 292.755 1171.020 -6 -4 2 6.74 13.472 6.770 27.080 13.540 6.783 13.566 40.599 81.198 -324.792 312.080 624.1597 -3 4 6.80 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 -489.600 314.432 1257.7288 -2 2 6.80 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 -163.200 314.432 628.8649 -1 4 6.80 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 -163.200 314.432 1257.728

10 0 2 6.80 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 0.000 314.432 628.86411 1 4 6.80 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 163.200 314.432 1257.72812 2 2 6.80 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 163.200 314.432 628.86413 3 4 6.80 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 489.600 314.432 1257.72814 4 2 6.80 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 326.400 314.432 628.864

15 5 4 6.49 25.960 6.502 26.008 26.008 6.507 26.028 39.005 156.020 780.100 275.513 1102.05316 6 2 5.58 11.160 5.609 22.436 11.218 5.624 11.248 33.640 67.280 403.680 177.884 355.76717 7 4 4.13 16.532 4.155 16.620 16.620 4.171 16.684 24.924 99.696 697.872 72.564 290.25618 8 2 2.45 4.894 2.492 9.968 4.984 2.529 5.058 14.944 29.888 239.104 16.175 32.35019 9 4 1.014 4.056 1.062 4.248 4.248 1.108 4.432 6.370 25.480 229.320 1.360 5.441FP 10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Function of WL 1828.61 (1) 12449.94 (5S YS 297.96 304.73 311.75 (4) -47.15 (3)


S'S(YS) S' 297.96 1,218.9 311.75 1828.61 (1)

Multipler for lever

n' -1 0 1S (YS) S' n' -297.96 0.00 311.75 13.79 (2)


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AP -10 1 0.000 0.000 0.000 0.000 0.000 2.900 2.900 2.900 2.900 -29.000 24.389 24.389

1 -9 4 0.791 3.164 3.028 12.112 12.112 4.820 19.280 17.723 70.892 -638.028 111.980 447.9212 -8 2 3.134 6.268 5.148 20.592 10.296 5.983 11.966 29.709 59.418 -475.344 214.169 428.3383 -7 4 5.685 22.740 6.268 25.072 25.072 6.557 26.228 37.314 149.256 -1044.792 281.913 1127.6534 -6 2 6.399 12.798 6.696 26.784 13.392 6.800 13.600 39.983 79.966 -479.796 314.432 628.8645 -5 4 6.640 26.560 6.752 27.008 27.008 6.800 27.200 40.448 161.792 -808.960 314.432 1257.7286 -4 2 6.783 13.566 6.789 27.156 13.578 6.800 13.600 40.739 81.478 -325.912 314.432 628.8647 -3 4 6.800 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 -489.600 314.432 1257.7288 -2 2 6.800 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 -163.200 314.432 628.8649 -1 4 6.800 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 -163.200 314.432 1257.728

10 0 2 6.800 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 0.000 314.432 628.86411 1 4 6.800 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 163.200 314.432 1257.72812 2 2 6.800 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 163.200 314.432 628.86413 3 4 6.800 27.200 6.800 27.200 27.200 6.800 27.200 40.800 163.200 489.600 314.432 1257.72814 4 2 6.800 13.600 6.800 27.200 13.600 6.800 13.600 40.800 81.600 326.400 314.432 628.86415 5 4 6.507 26.028 6.514 26.056 26.056 6.800 27.200 39.363 157.452 787.260 314.432 1257.72816 6 2 5.624 11.248 5.647 22.588 11.294 6.800 13.600 35.012 70.024 420.144 314.432 628.86417 7 4 4.171 16.684 4.188 16.752 16.752 6.800 27.200 27.723 110.892 776.244 314.432 1257.72818 8 2 2.529 5.058 2.576 10.304 5.152 2.630 5.260 15.463 30.926 247.408 18.191 36.38319 9 4 1.108 4.432 1.173 4.692 4.692 1.240 4.960 7.040 28.160 253.440 1.907 7.626FP 10 1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Function of WL 1982.36 (1) 15278.45 (S YS 311.75 328.60 356.19 (4) -990.94 (3)


S'S (YS) S' 311.75 1,314.4 356.19 1982.36 (1)

Multipler for lever

n' -1 0 1S (YS) S' n' -311.7 0.00 356.19 76.84 (2)


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Product

gS stat list bwh smping gird0.000 0 0 0 0 01.873 1 0.4682 0 0 0.46823.394 2 1.593 0.104 0 1.697

10.592 3 1.613 1.035 0 2.6488.420 4 2.285 1.925 0 4.21

22.268 5 2.327 3.24 0 5.56712.864 6

2.101 4.331 0 6.43227.680 7 1.894 5.026 0 6.9214.378 8 1.7988 5.39 0 7.188828.755 9 1.7988 5.39 0 7.188814.378 10 1.7988 5.39 0 7.188828.755 11 1.7988 5.39 0 7.188814.378 12 1.7988 5.39 0 7.188827.928 13 1.812 5.17 0 6.98213.611 14 2.1817 4.624 0 6.805725.824 15 2.599 3.857 0 6.45610.882 16 2.938 2.503 0 5.44114.844 17 2.206 1.505 0 3.711

5.028 18 2.033 0.481 0 2.5144.854 19 1.2136 0 0 1.21360.000 20 0 0 0 0

290.71


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Product


15.308 3 2.792 1.035 0 3.827

10.932 4 3.541 1.925 0 5.46627.072 5 3.528 3.24 0 6.76815.083 6 3.2105 4.331 0 7.541531.840 7 2.934 5.026 0 7.9616.390 8 2.215 5.39 0.59 8.19532.780 9 2.215 5.39 0.59 8.19516.390 10 2.215 5.39 0.59 8.19532.780 11 2.215 5.39 0.59 8.19516.390 12 2.215 5.39 0.59 8.19532.056 13 2.7469 5.17 0.097 8.0139

15.706 14 3.229 4.624 0 7.85330.030 15 3.6505 3.857 0 7.507513.028 16 4.011 2.503 0 6.51416.936 17 2.729 1.505 0 4.234

7.084 18 3.061 0.481 0 3.5428.968 19 2.242 0 0 2.2420.000 20 0 0 0 0

350.15


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Product


21.624 3 4.371 1.035 0 5.40613.780 4 4.965 1.925 0 6.8931.480 5 4.63 3.24 0 7.8717.118 6 4.228 4.331 0 8.559

35.843 7 3.3517 5.026 0.583 8.960718.392 8 2.214 5.39 1.59 9.19436.784 9 2.214 5.39 1.59 9.19418.392 10 2.214 5.39 1.59 9.19436.784 11 2.214 5.39 1.59 9.19418.392 12 2.214 5.39 1.59 9.19435.992 13 2.731 5.17 1.097 8.99817.712 14 4.125 4.624 0.107 8.85634.036 15 4.652 3.857 0 8.50915.039 16 5.0163 2.503 0 7.5193

24.948 17 4.732 1.505 0 6.2379.096 18 4.067 0.481 0 4.548

12.996 19 3.249 0 0 3.2490.000 20 0 0 0 0

416.00


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Product

gS stat list bwh smping gird0.000 0 0 0 0 0

14.204 1 3.551 0 0 3.55110.852 2 5.322 0.104 0 5.42629.552 3 6.353 1.035 0 7.38816.338 4 6.244 1.925 0 8.16935.632 5 5.668 3.24 0 8.90819.122 6 5.23 4.331 0 9.56139.844 7 3.351 5.026 1.583 9.9620.392 8 2.214 5.39 2.59 10.194

40.784 9 2.214 5.39 2.59 10.19420.392 10 2.214 5.39 2.59 10.19440.784 11 2.214 5.39 2.59 10.19420.392 12 2.214 5.39 2.59 10.19439.992 13 2.731 5.17 2.097 9.99819.712 14 4.125 4.624 1.107 9.85638.160 15 5.683 3.857 0 9.5417.040 16 6.017 2.503 0 8.5228.952 17 5.733 1.505 0 7.23811.102 18 5.07 0.481 0 5.551

17.012 19 4.253 0 0 4.2530.000 20 0 0 0 0

480.26


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gS stat list bwh smping gird3.016 0 3.016 0 0 3.016

31.676 1 7.919 0 0 7.91917.412 2 8.602 0.104 0 8.70636.608 3 8.117 1.035 0 9.15219.470 4 7.81 1.925 0 9.73541.672 5 7.178 3.24 0 10.41822.122 6 6.73 4.331 0 11.06145.840 7 3.351 5.026 3.083 11.4623.394 8 2.214 5.39 4.09 11.69446.788 9 2.214 5.39 4.09 11.69423.394 10 2.214 5.39 4.09 11.69446.788 11 2.214 5.39 4.09 11.69423.394 12 2.214 5.39 4.09 11.69446.028 13 2.74 5.17 3.597 11.50722.838 14 4.125 4.624 2.67 11.41944.040 15 7.153 3.857 0 11.0119.958 16 7.476 2.503 0 9.97934.952 17 7.233 1.505 0 8.73814.110 18 6.574 0.481 0 7.05523.036 19 5.759 0 0 5.759

0.000 20 0 0 0 0586.54


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B1

1 mWl

Lwl = 71.041 m B = 13.48 m d = 1 m

a = 3.8 m b = 0.5 m t = 0.011 m

Vol = 2 x 1/3 x 1/3 x a x b x (1) .....(m 3) Cb = Vol ex / Lwl x B x d= 610.240 m3 = 0.637

Displ = g x Vol .....(ton) IT = 2 x 1/3 x 1/3 x a x (5) = .....(m 4)= 625.496 ton = 8193.413 m 4

KB = (d- b ) + ((2) x b / (1)) .....( m) TBM = IT / Vol ex .....(m)= 0.530 m = 13.427 m

FB = (3) x a / (1) ..... (m) F F = (6) x a / (4) .....(m)= 1.380 m = 1.475 m

WPA = 2 x 1/3 x a x (4) .....(m 2) (6) 2 / (4) = 40.570= 681.695 m2

IL = {(7) - [(6) 2 / (4)]} x 2/3 x a 3 .....(m 4)Cw = WPA / (Lwl x B) = 169413.945 m 4

= 0.712LBM = IL / Vol ex .....(m)

MSA (Midship Section Area) = 2 x1/3 x b x (9) .....(m 2) = 277.618 m= 12.666 m 2

WSA = 2 x 1/3 x a x (8) = 736.455MSA 0 ~ 1 mWL = 12.666 m DIFFERENCE OF WSA = 0

CF = MSA / (B x d) 0 1 mWL = 736.455= 0.940 SHELL DISPL = g / 1,000 x t x ... = 8.304

DIFFERENT OF SHELL DISPL = 0Vol ex = Displ 0 ~ 1 mWL = 0 1

= 610.240 m 3 TOTAL SHELL DISPL = 8.304.....(m 3)Vol ~ Vol

~WSA

HYDROSTATIC AND BONJEAN PPNS - ITS


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PERHITUNGAN PADA ~ 0 mWL

NO ST YS N YSN AP 0.00 -10 0.00 Lwl = 83.006 m B = 10.78

1 0.00 -9 0.002 0.21 -8 -1.66 a = 3.8 m3 4.14 -7 -28.984 3.85 -6 -23.10 F F = S2 x a / S1 .. ...(m)5 12.96 -5 -64.80 = 0.88 m6 8.66 -4 -34.657 20.10 -3 -60.31 WPA = 2 x 1/3 x a x S1 .....(m2)8 10.78 -2 -21.56 = 462.911 m 2

9 21.56 -1 -21.5610 10.78 0 0.0011 21.56 1 21.5612 10.78 2 21.56 WSA = WPA13 20.68 3 62.04

14 9.25 4 36.99 = 462.911 m2

15 15.43 5 77.1416 5.01 6 30.0417 6.02 7 42.14 Cw = WPA / (Lwl x B)18 0.96 8 7.70 = 0.51719 0.00 9 0.00FP 0.00 10 0.00 FB = S2 x a / S1 .. ...(m)

S1 = 182.73 S2 = 42.54 = 0.88 m

E2



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mm -

m 2

TONTON +

TON



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m



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B2

2MWL

Lwl = 71.751 m B = 13.60 m d = 2 m

a = 3.8 m b = 0.5 m t = 0.011 m


Displ = g x Vol .....(ton) IT = 2 x 1/3 x 1/3 x a x (5) = .....(m 4)= 723.658 ton = 9166.863 m4

KB = (d-b ) + ((2) x b / (1)) .....( m) TBM = IT / Vol ex .....(m)= 1.505 m = 6.964 m

FB = (3) x a / (1) ..... (m) F F = (6) x a / (4) .....(m)= 1.414 m = 1.241 m

WPA = 2 x 1/3 x a x (4) .....(m 2) (6) 2 / (4) = 30.424= 722.714 m2

IL = {(7) - [(6) 2 / (4)]} x 2/3 x a 3 .....(m 4)Cw = WPA / (Lwl x B) = 191392.205 m4

= 0.741LBM = IL / Vol ex .....(m)

MSA (Midship Section Area) = 2 x1/3 x b x (9) .....(m 2) = 145.407 m= 13.580 m2

WSA = 2 x 1/3 x a x (8) =MSA 0 ~ 2 mWL = 26.245 m DIFFERENCE OF WSA =

CF = MSA / (B x d) 1 2 mWL == 0.965 SHELL DISPL = g / 1,000 x t x ...

DIFFERENT OF SHELL DISPL =Vol ex = Displ 0 ~ 2 mWL = 1 2 .....(m 3)Vol ~ Vol

~WSA



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= 1316.248 m 3 TOTAL SHELL DISPL =



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887.043 m2

736.455 m -

150.588 m2

1.698 TON8.304 TON +


65/84

10.001 TON

B3


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3 MWL

Lwl = 71.487 m B = 13.60 m d = 3 m

a = 3.8 m b = 0.5 m t = 0.01 m

Vol = 2 x 1/3 x 1/3 x a x b x (1) .....(m 3) Cb = Vol ex / Lwl x B x d= 738.047 m 3 = 0.704

Displ = g x Vol .....(ton) IT = 2 x 1/3 x 1/3 x a x (5) = .....(m 4)= 756.498 ton = 9808.285 m 4

KB = TBM = IT / Vol ex .....(m)= 2.504 m = 4.775 m

FB = (3) x a / (1) ..... (m) F F = (6) x a / (4) .....(m)= 0.876 m = 0.424 m

WPA = 2 x 1/3 x a x (4) .....(m 2) (6) 2 / (4) = 3.715= 754.822 m 2

IL = {(7) - [(6) 2 / (4)]} x 2/3 x a 3 .....(m 4)Cw = WPA / (Lwl x B) = 212510.238 m 4

= 0.776 LBM = IL / Vol ex .....(m)MSA (Midship Section Area) = 2 x1/3 x b x (9) .....(m 2) = 103.447 m

= 13.600 m 2

WSA = 2 x 1/3 x a x (8) = 1053.855 mMSA 0 ~ 3 mWL = 39.845 m DIFFERENCE OF WSA = 887.043 m

C F = MSA / (B x d) 2 3 mWL = 166.812 m= 0.977 SHELL DISPL = g / 1,000 x t x ... = 1.710 T

DIFFERENT OF SHELL DISPL = 10.001 TON

Vol ex = Displ 0 ~ 3 mWL = 2 3= 2054.295 m3 TOTAL SHELL DISPL = 11.711 TON

(d- b ) + ((2) x b / (1)) .....(m)

.....(m3

)Vol ~ Vol

~WSA


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B4

4 MWL

Lwl = 73.035 m B = 13.60 m d = 4 m

a = 3.8 m b = 0.5 m t = 0.01 m




FB = (3) x a / (1) ..... (m) F F = (6) x a / (4) .....(m)= -0.098 m = -0.640 m

WPA = 2 x 1/3 x a x (4) .....(m 2) (6) 2 / (4) = 8.836

= 789.757 m2

IL = {(7) - [(6) 2 / (4)]} x 2/3 x a 3 .....(mCw = WPA / (Lwl x B) = 238908.739 m4

= 0.795LBM = IL / Vol ex .....(m)


WSA = 2 x 1/3 x a x (8) =MSA 0 ~ 4 mWL = 53.445 m DIFFERENCE OF WSA =

C F = MSA / (B x d) 3 4 mWL == 0.982 SHELL DISPL = g / 1,000 x t x ... =

DIFFERENT OF SHELL DISPL =Vol ex = Displ 0 ~ 4 mWL = 3 4

= 2826.373 m3 TOTAL SHELL DISPL =

(d-b ) + ((2) x b / (1)) .....(m)

.....(m 3)Vol ~ Vol

~WSA



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69/84

)

1216.653 m 2

1053.855 m

-

162.798 m 2

1.669 TON11.711 TON +

13.380 TON


B5


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5,5 MWL

Lwl = 76 m B = 13.60 m d = 5.5 m

a = 3.8 m b = 0.75 m t = 0.01 m




FB = (3) x a / (1) ..... (m) F F = (6) x a / (4) .....(m)= -1.900 m = -2.184 m

WPA = 2 x 1/3 x a x (4) .....(m 2) (6) 2 / (4) 117.666= 902.358 m2

IL = {(7) - [(6) 2 / (4)]} x 2/3 x a 3 .....(m 4)Cw = WPA / (Lwl x B) = 339599.516 m4

= 0.873LBM = IL / Vol ex .....(m)


WSA = 2 x 1/3 x a x (8) =MSA 0 ~ 5.5 mWL = 73.845 m DIFFERENCE OF WSA =

C F = MSA / (B x d) 4 5.5 mWL == 0.987 =

DIFFERENT OF SHELL DISPL =SHELL DISPL = g / 1,000 x t x ...

(d-b ) + ((2) x b / (1)) .....(m)

~WSA


Vol ex = Displ 0 ~ 5.5 mWL = 4 5.5= 4081 865 m 3 TOTAL SHELL DISPL =

.....(m 3)Vol ~ Vol


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4081.865 m TOTAL SHELL DISPL



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1485.891 m 2

1216.653 m -

269.239 m 2

2.760 TON13.380 TON +


16.140 TON


73/84



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C

SECTIONAL AREA AND V.C.B. AT STATION AP

HALF SIMSON'S PRODUCT Y2BREADTH MULTIPLIER

2.90 1 2.901.02 4 4.070.00 1 0.00 Y1

Z1 = 6.97

h = 0.750 m

AREA = 2 x 1/3 x h/2 x Z1 .....(m 2)= 1.743 m 2

V.C.B. BELOW 5.5 2/5 x h .....(m)= 0.3 m

SECTIONAL AREA AND V.C.B. AT STATION C

HALF SIMSON'S PRODUCT Y2BREADTH MULTIPLIER

1.50 1 1.50

0.28 4 1.13 Y10.00 1 0.00Z2 = 2.63

h = 0.380 m

AREA = 2 x 1/3 x h/2 x Z2 .....(m 2)= 0.333 m 2

h

h

WL =


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SECTIONAL AREA AND V.C.B. AT STATION AFTER ENDBETWEEN DRAUGHT ~ UPPER DECK

Y2HALF SIMSON'S PRODUCT

BREADTH MULTIPLIER2.20 1 2.201.80 4 7.20 Y1

0.00 1 0.00Z1 = 9.40

h = H - T (m) Y0= 0.400 m

AREA = 2 x 1/3 x h/2 x Z3 .....(m 2) B = 1.253

TOTAL AREA = AREA A + AREA B

= 1.253 m 2

V.C.B. BELOW UPPER DECK = 2/5 x h .....(m)= 0.16 m

h

E


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5.5NUMBER HALF SIMP'S PRODUCT

OF GIRTH MULTPORDINATES (g) (S) (g x S) k = Length of Cant Part

= 0 m AP 3.016 1 3.016F C 1.586 4 6.344

After End 0.000 1 0.000 t = Plate thicnessz = 9.360 of Cant Part

= 1,25 x t2 x 1/3 x k/2 = 0.000 = 13.75 mm

9.360 x 0.01375 mWETTED SURFACE AREA = 0.000 m2

1,025/1,000 x t = 0.01409

SHELL DISPLACEMENT = 0.000 TON

TOTAL VALUE FOR MAIN PART AND CANT PART

A. WETTED SURFACE AREA AND SHELL DISPLACEMENT

WETTED SURFACE AREA SHELL DISPLACEMENTMAIN PART CANT PART TOTAL MAIN PART CANT PART TOTAL

(m ) (TON)

5.5 1485.891 0.000 1485.891 16.140 0.000 16.140

B. CENTRE OF FLOTATION AND WATER PLANE AREA

5.5F F WATER PLANE AREA PRODUCT

TO mWL

TO mWL

AT mWL

D


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D

DISPLACEMENT LCB VCBNUMBER SECTIONAL SIMP'S PRODUCT LEVER FUNCTION VCB FUNCTION

OF AREA MULTP FROM OF BELOW OF k = LengthORDINATES AP LONGITU- WL VERTICAL of Cant Part

DINAL MOMENT = 0 m AP 1.743 1 1.743 0 0.000 0.3 0.523F C 0.333 4 1.332 -1 -1.332 0.152 0.202 Lpp = Length between

After End 0.000 1 0.000 -2 0.000 0 0.000 Perpendicularsz1 = 3.075 z2 = -1.332 z3 = 0.725 = 76 m

1/3 x k/2 x g = 0.000 z2/z1 = -0.4333.075 x

DISPL.c = 0.000 Ton k/2 = 0.000 V.C.B.BELOW 5.5x -0.433

VOL. c = DISPL. c / g 0.000 KBc = 5.5= 0.000 m 3 = 5.264 m

Lpp/2 = -38.0000.000 +

-38.000

F Bc = -38.000 m

WATER PLANE AREA F Fc ILc ITc

NUMBER HALF SIMP'S PRODUCT LEVER Mci = Oci = bi3

SIMP'S bi3

x SOF BREADTH MULTP (Nci = FROM Nci x Lci Mci x Lci MULTPORDINATES OF WL (S) bi x S) AP (S)

(bi) (Lci) AP 2.900 1 2.900 0 0.000 0 24.389 1 24.389F C 1.500 4 6.000 -1 -6.000 6 3.375 4 13.500

After End 0.000 1 0.000 -2 0.000 0 0.000 1 0.000z1 = 8.900 z2 = -6.000 6.000 =z3 z4 = 37.889

mWL

- z3/z1


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F


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C. LONGITUDINAL METACENTRE ABOVE CENTRE OF BUOYANCY

LONGITUDINAL MOMENT OF INERTIA =IL = ILP (1) + ILC (2) + AWP ( F F - F FP) 2 (3) + AWC ( F FC - F F) 2 (4)L.B.M. = IL / VOL

LONGITUDINAL MOMENT OF INERTIA OF MAIN PART = ILP (1) 339599.516LONGITUDINAL MOMENT OF INERTIA OF CANT PART = ILC (2) 0.000

CORRECTED F F -2.184F FP -2.184

(F F - F FP) 0.000(F F - F FP) 0.000

WATER PLANE AREA OF MAIN PART (AWP) 902.358 AWP (F F - F FP) (3) 0.000

F FC -38.000CORRECTED F F -2.184

(F FC - F F) -35.816(F FC - F F) 1282.781

WATER PLANE AREA OF CANT PART (AWC) 0.000 AWC (F FC - F F) (4) 0.000

CORRECTED LONGITUDINAL MOMENT OF INERTIA =IL = (1) + (2) + (3) + (4) = 339599.516 m

L.B.M. = IL / VOL = IL / (VOL. P + VOL. C) .....(m)= 83.197 m

D. LONGITUDINAL METACENTRE ABOVE CENTRE OF BUOYANCY

TRANSVERSE MOMENT OF INERTIA =IT = ITP + ITC

T. B.M. = IT / VOL

G


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E. MOULDED DISPLACEMENT AND CENTRE OF BUOYANCY

MOULDED VERTICAL HORISONTALDISPLACEMENT K.B MOMENT F B MOMENT

(TON) (m) (m)0 TO 1 WL

0 1 (1) 625.496 (a) 0.530 (2) 331.436 (b) 1.380 (3) 862.905

a. K.B = 2 / 1 = 0.530 m

b. F B = 3 / 1 = 1.380 m

0 TO 2 WL0 1 (1) 625.496 (a) 0.530 (2) 331.436 (b) 1.380 (3) 862.9051 2 723.658 1.505 1088.991 1.414 1023.440

(4) 1349.154 (5) 1420.427 (6) 1886.345

c. K.B = 5 / 4 = 1.053 m

d. F B = 6 / 4 = 1.398 m

0 TO 3 WL0 2 (4) 1349.154 (c) 1.053 (5) 1420.427 (d) 1.398 (6) 1886.3452 3 756.498 2.504 1893.988 0.876 662.664

(7) 2105.653 (8) 3314.415 (9) 2549.008

e. K.B = 8 / 7 = 1.574 m

f. F B = 9 / 7 = 1.211 m

0 TO 4 WL0 3 (7) 2105.653 (e) 1.574 (8) 3314.415 (f) 1.211 (9) 2549.0083 4 791.380 3.504 2772.814 -0.098 -77.544

(10) 2897.033 (11) 6087.229 (12) 2471.464

TOTAL

TOTAL

TOTAL

WL WL

WL WLWL WL

WL WLWL WL

WL WLWL WL

RESULT OF HIDROSTATIC CALCULATION (H)WATER PLANE

MULTIPLIER = 2/3 x a = 2.533Water Lines Function of Water plane Water Plane TPC = Midship Section Midship Water Lines

MIDSHIP SECTION


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Wate es u ct o o Wate p a e Wate a e C ds p Sect o ds p Wate esWater Lines Area Coefficien WPA.1.025/100 Area Coefficient

(W.P.A) Cw = WPA/LwlxB (M.S.A) CF = AF/B xd0 0.000 462.9109333 0.5173 4.744837067 0.000 0.000 01 269.09 681.695 0.712 6.987 12.666 0.940 12 285.28 722.714 0.741 7.408 26.245 0.965 23 297.96 754.822 0.776 7.737 39.845 0.977 34 311.75 789.757 0.795 8.095 53.445 0.982 4

5.5 356.19 902.358 0.873 9.249 73.845 0.987 5.5

Water Lines K B T B M T K M F B F F L B M L K M

(m) (m) ( KB + TBM ) (m) (m) (m) (LBM + KB)(m) (m)

0 0.000 0.000 0.000 0.88 0.88 0.000 0.0001 0.53 13.427 13.956 1.380 1.48 277.618 278.1482 1.05 6.964 8.017 1.398 1.241 145.407 146.4603 1.57 4.775 6.349 1.211 0.424 103.447 105.0214 2.10 3.720 5.821 0.853 -0.640 84.528 86.630

5.5 2.92 3.161 6.086 0.006 -2.184 83.197 86.122

Water Lines Displacement Block Coeff. Cp = Cb / C F W S A Shell Displacement Water LinesMoulded Cb = (m2) Displacement (TON)(TON) Displ/1,025xLwlxBxd (TON)

0 0.000 0.000 0.000 462.9109333 5.219320773 5.219 01 625.496 0.637 0.678 736.455 8.304 633.800 12 1349.154 0.674 0.699 887.043 10.001 1359.156 23 2105.653 0.704 0.721 1053.855 11.711 2117.364 34 2897.033 0.711 0.724 1216.653 13.380 2910.413 4

5.5 4183.912 0.718 0.727 1485.891 16.140 4200.052 5.5

Water Lines Moment to Change Trim One Centimeter Displacement Due to Trim One Centimeter Water LinesMTC = LBMxDispl / Lwlx100 DDT = - F F x TPC/Lwl

0 0.000 -0.0505694 01 24.444 -0.145 12 27.341 -0.128 2

I


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Number 0 1 1 2 2 3 3 4 4 5.5of g = 2/3x b= 0.333 g = 2/3x b= 0.333 g = 2/3x b= 0.333 g = 2/3x b= 0.333 g = 2/3x b= 0.500

Ordinates Function Area Function Area Total Area Function Area Total Area Function Area Total Area Function Area Total Areaof Area (Fxg) of Area (Fx g) 0~2mW L of Area (Fx g) 0~3mW L of Area (Fx g) 0~4mW L of Area (Fx g) 0~6mWL

(F) (F) (F) (F) (F) AP 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 2.900 1.450 1.450

1 0.320 0.107 2.112 0.704 0.811 2.302 0.767 1.578 3.361 1.120 2.698 17.723 8.862 11.5602 5.048 1.683 8.056 2.685 4.368 10.180 3.393 7.761 14.470 4.823 12.585 29.709 14.855 27.4393 10.739 3.580 14.633 4.878 8.457 19.794 6.598 15.055 29.502 9.834 24.889 37.314 18.657 43.546

4 19.579 6.526 25.025 8.342 14.868 30.434 10.145 25.013 36.502 12.167 37.180 39.983 19.992 57.1725 27.582 9.194 33.543 11.181 20.375 36.933 12.311 32.686 39.112 13.037 45.723 40.448 20.224 65.9476 32.980 10.993 38.105 12.702 23.695 39.964 13.321 37.016 40.599 13.533 50.549 40.739 20.370 70.9197 36.187 12.062 40.143 13.381 25.443 40.782 13.594 39.037 40.800 13.600 52.637 40.800 20.400 73.0378 37.997 12.666 40.739 13.580 26.245 40.800 13.600 39.845 40.800 13.600 53.445 40.800 20.400 73.8459 37.997 12.666 40.739 13.580 26.245 40.800 13.600 39.845 40.800 13.600 53.445 40.800 20.400 73.845

10 37.997 12.666 40.739 13.580 26.245 40.800 13.600 39.845 40.800 13.600 53.445 40.800 20.400 73.84511 37.997 12.666 40.739 13.580 26.245 40.800 13.600 39.845 40.800 13.600 53.445 40.800 20.400 73.84512 37.997 12.666 40.739 13.580 26.245 40.800 13.600 39.845 40.800 13.600 53.445 40.800 20.400 73.84513 36.675 12.225 40.433 13.478 25.703 40.800 13.600 39.303 40.800 13.600 52.903 40.800 20.400 73.303

14 35.320 11.773 39.692 13.231 25.004 40.648 13.549 38.553 40.800 13.600 52.153 40.800 20.400 72.55315 32.636 10.879 37.929 12.643 23.522 38.816 12.939 36.460 39.005 13.002 49.462 39.363 19.682 69.14416 26.334 8.778 32.036 10.679 19.457 33.261 11.087 30.544 33.640 11.213 41.757 35.012 17.506 59.26317 19.258 6.419 23.884 7.961 14.381 24.592 8.197 22.578 24.924 8.308 30.886 27.723 13.862 44.74818 9.699 3.233 13.493 4.498 7.731 14.362 4.787 12.518 14.944 4.981 17.499 15.463 7.732 25.23119 0.460 0.153 4.564 1.521 1.675 5.758 1.919 3.594 6.370 2.123 5.717 7.040 3.520 9.237FP 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

b = 0.5 b = 0.5 b = 0.5 b = 0.5 b = 0.75

BONJEAN CALCULATION

mWL ~ mWL mWL ~ mWL mWL ~ mWL mWL ~ mWL mWL ~ mWL


J


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BONJEAN CALCULATIONNumber 5.5 mWL ~ UPPER DECK H = 6.8 m AREA

of S =1 S = 4 S = 1 SYxS h 2/3 x h/2 AREA 0 ~ 6 mWLOrdinates Y1=Y1xS Y2 Y2xS Y3=Y3xS (H - 6m) (2/3xh/2x SYS)

AP 2.900 6.620 26.480 7.342 36.722 1.300 0.433 15.913 1.4501 4.820 7.494 29.976 7.861 42.657 1.300 0.433 18.485 11.5602 5.983 7.991 31.964 8.120 46.067 1.300 0.433 19.962 27.4393 6.557 8.188 32.752 8.225 47.534 1.300 0.433 20.598 43.5464 6.800 8.244 32.976 8.250 48.026 1.300 0.433 20.811 57.1725 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 65.9476 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 70.919

7 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.0378 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.8459 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.845

10 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.84511 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.84512 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.84513 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 73.30314 6.800 8.250 33.000 8.250 48.050 1.300 0.433 20.822 72.55315 6.800 7.805 31.220 8.178 44.963 1.300 0.433 19.484 69.14416 6.800 6.311 25.244 6.943 37.302 1.300 0.433 16.164 59.263

17 6.800 4.539 18.156 5.258 28.680 1.300 0.433 12.428 44.74818 2.630 3.099 12.396 3.724 17.335 1.300 0.433 7.512 25.23119 1.240 1.739 6.956 2.309 9.232 1.300 0.433 4.001 9.237FP 0.000 0.433 1.732 1.036 1.732 1.300 0.433 0.751 0.000

SCAL E OF A R EA 1cm = 20m 2

568.04

Number AREA AREA AREA AREA AREA AREAof 0 ~ 1 mWL 0 ~ 2 mWL 0 ~ 3 mWL 0 ~ 4 mWL 0 ~ 5,5 mWL 0 mWL ~ Upper Deck

Ordinates


Hidrostatik Bonjean

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