Exercise 2-5

某船L=60m，其水线以下横剖面为半圆形(其形心距水面高 为4r/3π)，从尾向首其半宽为0.3, 1.6, 4.3, 5.0, 4.6, 3.3m，试求水线面漂心xF，排水体积▽，浮心xb, zb，方形系数Cb。用梯形法解：δL=60/5=12 m y 0.300 1.600 4.300 5.000 4.600 3.300 19.100 x -30.000 -18.000 -6.000 6.000 18.000 30.000 yx -9.000 -28.800 -25.800 30.000 82.800 99.000 148.200 A 0.141 4.021 29.044 39.270 33.238 17.106 122.820 z 0.127 0.679 1.825 2.122 1.952 1.401 Az 0.018 2.731 53.005 83.333 64.891 23.958 227.935 Ax -4.241 -72.382 -174.264 235.619 598.284 513.179 1096.195

Aw=2*12*(∑-ε)=2*12*(19.1-2

(0.3+3.3)/2)=415.2 mxF=12*(148.2-(-9+99)/2)/207.6=5.965

3

m ▽=12*(122.82-(0.141+17.106)/2)=1270.362 m

Zb?=12*(227.935-(0.018+23.958)/2)/1270.362=1.891 m xb=12*(1096.195-(-4.241+513.179)/2)/1270.362=7.371 m

Exercise 2-6

某船L=60m，其水线以下横剖面为等边三角形，从尾向首其半宽为0.3, 1.6, 4.3, 5.0, 4.6, 3.3m，试求水线面漂心xF，排水体积▽，浮心xb, zb，方形系数Cb。用梯形法解：δL=60/5=12 m y 0.300 1.600 4.300 5.000 4.600 3.300 19.100 x -30.000 -18.000 -6.000 6.000 18.000 30.000

yx A z Az Ax -9.000 -28.800 -25.800 30.000 82.800 99.000 148.200 0.156 0.173 0.027 4.429 0.925 4.096 31.988 43.250 36.607 18.840 135.269 2.486 2.890 2.659 1.908 79.507 125.000 97.336 35.937 341.903 -4.671 -79.718 -191.926 259.500 658.922 565.191 1207.298 Aw=2*12*(∑-ε)=2*12*(19.1-(0.3+3.3)/2)=415.2 m2

xF=12*(424.8-(18+0)/2)/207.6=24.035 m ▽=12*(135.269-(0.156+18.84)/2)=810.678 m3 Zb?=12*(341.903-(0.027+35.937)/2)/810.678 =4.795 m xb=12*(1207.298-(-4.671+565.191)/2)/810.678 =13.722 m