船舶原理1.2 Ship Axes Waterplanes and Section Areas

SHIP’SAXESWATERPLANES&SECTIONAREAS2240xyzTheship’sstructureisshownorientedaboutthethreeprincipleaxes,x,y,&zWhere:-Thex-axisisthelengthoftheship,fromwhichstationsaremeasured-They-axisisthewidthoftheship,fromwhichbuttocksaremeasured-Thez-axisistheheightoftheship,fromwhichthewaterplanesaremeasuredslugunitsxy•012345678910Stations•Stationsaremeasuredalongthex-axis•Theareadescribedbytheinscribedareaiscalledthewaterplanearea,orAwp•Adifferentwaterplaneiscreatedasyoumoveupordownthez-axis,orthedepthoftheship•Halfbreadths,distancesfromcenterlinetotheouterhull,aremeasuredfromthex-axisHalfBreadthdistanceM=?WATERPLANEAREASHalf-BreadthsfromCenterline(ft)WATERLINE012345678910TopofBulwark3.858.1410.1911.1511.4011.4011.2611.0710.8410.5310.0918'Waterline3.72-16'Waterline3.207.9210.1311.1514'Waterline2.417.369.9311.1011.3911.4011.2611.0710.8410.5310.0912'Waterline1.586.269.2010.7011.1911.3211.2111.0210.7610.4510.0210'Waterline0.975.198.3910.2110.9311.1711.0510.8410.5910.279.848'Waterline0.464.077.439.6310.6410.9810.8710.6610.4110.079.656'Waterline0.002.946.258.8110.1510.6510.5610.329.979.569.044'Waterline-1.804.607.238.889.659.679.258.507.273.082'Waterline-0.722.444.445.856.395.460.80USNAYARDPATROLCRAFTTABLEOFOFFSETSSTATIONHalfBreadthPlan0.002.004.006.008.0010.0012.00012345678910Stations(x-axis)Y-axis10ftwaterline8ftwaterline6ftwaterline4ftwaterline2ftwaterlineThehalfbreadthdistancescanbepresentedintabularform,asshownhere.ThisisfortheYP.Thegraphdepictsthewaterplaneareasfromthe2ndthru10thwaterplanes.1.99HalfBreadthPlan0.002.004.006.008.0010.0012.00012345678910Stations(x-axis)Y-axis2ftwaterlineHalf-BreadthsfromCenterline(ft)WATERLINE012345678910TopofBulwark18'Waterline16'Waterline14'Waterline12'Waterline10'Waterline8'Waterline6'Waterline4'Waterline2'Waterline-0.722.444.445.856.395.460.80USNAYARDPATROLCRAFTTABLEOFOFFSETSSTATIONAndthesearethey-valuesforthe2ftwaterplaneThestationsarethex-values...Thex-andy-valuescanbeplotted,thusdefiningthewaterplaneatthatparticularlevelrollHalfBreadthPlan0.002.004.006.008.0010.0012.00012345678910Stations(x-axis)Y-axis4ftwaterline2ftwaterlineHalf-BreadthsfromCenterline(ft)WATERLINE012345678910TopofBulwark18'Waterline16'Waterline14'Waterline12'Waterline10'Waterline8'Waterline6'Waterline4'Waterline-1.804.607.238.889.659.679.258.507.273.082'Waterline-0.722.444.445.856.395.460.80USNAYARDPATROLCRAFTTABLEOFOFFSETSSTATIONTheprocesscanberepeatedforthe4ftwaterplane,…..Half-BreadthsfromCenterline(ft)WATERLINE012345678910TopofBulwark18'Waterline16'Waterline14'Waterline12'Waterline10'Waterline8'Waterline6'Waterline0.002.946.258.8110.1510.6510.5610.329.979.569.044'Waterline-1.804.607.238.889.659.679.258.507.273.082'Waterline-0.722.444.445.856.395.460.80USNAYARDPATROLCRAFTTABLEOFOFFSETSSTATIONHalfBreadthPlan0.002.004.006.008.0010.0012.00012345678910Stations(x-axis)Y-axis6ftwaterline4ftwaterline2ftwaterline…Aswellasthe6ftwaterplane,…Half-BreadthsfromCenterline(ft)WATERLINE012345678910TopofBulwark18'Waterline16'Waterline14'Waterline12'Waterline10'Waterline0.975.198.3910.2110.9311.1711.0510.8410.5910.279.848'Waterline0.464.077.439.6310.6410.9810.8710.6610.4110.079.656'Waterline0.002.946.258.8110.1510.6510.5610.329.979.569.044'Waterline-1.804.607.238.889.659.679.258.507.273.082'Waterline-0.722.444.445.856.395.460.80USNAYARDPATROLCRAFTTABLEOFOFFSETSSTATIONHalfBreadthPlan0.002.004.006.008.0010.0012.00012345678910Stations(x-axis)Y-axis10ftwaterline8ftwaterline6ftwaterline4ftwaterline2ftwaterline…Andeveryotherwaterplanethereafter.yzAdifferentsectioniscreatedateachstationasyoumovealongthex-axis,theship’slength!108642keel246810Buttocks(ft)•Buttocksaremeasuredalongthey-axis•Theareadescribedbytheinscribedareaiscalledthesectionorsectionalarea,orAsection•Heights,distancesfromthebaselinetothehull’soutersurface,aremeasuredalongthez-axisHeight(ft)Baseline24681012SECTIONAREASUSNAYARDPATROLCRAFTTABLEOFOFFSETSButtocks(y-axis)012345678910TopofBulwark18.5017.6216.8516.1915.6515.2414.9714.7914.7114.7114.7010'Buttock14.209.245.634.484.495.116.087.5211.758'Buttock16.599.144.823.242.712.773.163.714.364.976'Buttock11.515.653.002.071.882.102.553.103.694.304'Buttock7.873.401.761.321.411.782.302.863.454.082'Buttock13.094.361.630.820.731.021.532.102.683.273.91Keel6.000.660.100.090.280.711.341.952.543.143.76STATIONHeightsAboveBaseline,ft(z-axis)SectionAreas0.002.004.006.008.0010.0012.0014.0016.0018.00-12-10-8-6-4-2024681012Buttocks(Y-axis)Z-AxisSta0Sta2Sta1Sta3Sta4Sta5Sta6Sta7Sta8Sta9Sta10ThisistheheighttablefortheYPalongwiththeconstructedsections•Notethatsectionsarepresentedinhalfsectionsduetosymmetry•Forwardsectionsareontheright•AftsectionsareontheleftSectionAreas0.002.004.006.008.0010.0012.0014.0016.0018.00-12-10-8-6-4-2024681012Buttocks(Y-axis)Z-AxisSta0USNAYARDPATROLCRAFTTABLEOFOFFSETSButtocks(y-axis)012345678910TopofBulwark18.5010'Buttock8'Buttock6'Buttock4'Buttock2'Buttock13.09Keel6.00STATIONHeightsAboveBaseline,ft(z-axis)Hereisthetabledataforstation“0”,attheforwardperpendicularoftheship(FP)•Notethatitisrelativelysmallasexpectedsinceiti