Hydrostatics Calculation

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A sample of hydrostatic calculation using Excel

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Sheet1Waterplane Area

WL - 1WL - 2WL - 3WL - 4WL - 5

ST NO.YSMY X SMST NO.YSMY X SMST NO.YSMY X SMST NO.YSMY X SMST NO.YSMY X SM000.50000.50000.50000.50000.500.50200.50200.50200.50200.57.609215.21819.32419.324111.339111.339112.047112.047112.638112.638113.092113.0921.510.774221.5481.512.104224.2081.512.664225.3281.513.057226.1141.513.327226.654211.9371.517.9055212.8091.519.2135213.1221.519.683213.391.520.085213.4571.520.1855312.915451.66313.35453.4313.427453.708313.482453.928313.5454413.5227413.5227413.5227413.5227413.5227513.5454513.5454513.5454513.5454513.5454613.5227613.5227613.5227613.5227613.5227712.135448.54 712.69450.76713.09452.36713.373453.492713.545488.0921.512.13889.0951.513.642589.8871.514.8305810.5691.515.8535811.1721.516.7588.54.14728.2948.55.414210.8288.56.281212.5628.57.087214.1748.57.859215.71892.23612.23693.50913.50994.40614.40695.10415.10495.65515.6559.50.91521.839.51.70423.4089.52.28724.5749.52.76125.5229.53.13526.271000.50100.1190.50.0595100.20.50.1100.2020.50.101100.1220.50.061281.4755298.3675307.5985315.0115335.6115

Area of WL - 12964.8752666667Area of WL - 23142.8043333333Area of WL - 33240.0375333333Area of WL - 43318.1211333333Area of WL - 53535.1078Volume upto different Waterlines

From0 to1

WLAreaSMArea X SMLeverProduct for Moment00500012964.8752666667823719.0021333333123719.002133333323142.8043333333-1-3142.80433333332-6285.608666666720576.197817433.3934666667WLDraftLength(from Drawing)11.7144.981Volumefrom0to12914.96135523.4146.17335.1147.195Momentfrom0to14198.542259888946.8148.4758.5151.274KB11.4403423403

From0 to2

WLAreaSMArea X SMLeverProduct for Moment00100012964.8752666667411859.5010666667111859.501066666723142.804333333313142.804333333326285.608666666715002.305418145.1097333333

Volumefrom0to28501.3063933333

Momentfrom0to217479.7890431111

KB22.0561297563

From0 to3

WLAreaSMArea X SMLeverProduct for Moment00100012964.875266666738894.625818894.625823142.804333333339428.413218856.82633240.037533333313240.037533333339720.112621563.076333333337471.5644

Volumefrom0to313746.4611625

Momentfrom0to340609.8079185

KB32.9542008986

From0 to4

WLAreaSMArea X SMLeverProduct for Moment00100012964.8752666667411859.5010666667111859.501066666723142.804333333326285.6086666667212571.217333333333240.0375333333412960.1501333333338880.450443318.121133333313318.1211333333413272.484533333334423.38176583.6533333333

Volumefrom0to419506.5825666667

Momentfrom0to473775.5860444444

KB43.7820866773

From0 to5

WLAreaSMArea X SMLeverProduct for Moment000.400012964.875266666712964.875266666712964.875266666723142.804333333313142.804333333326285.608666666733240.037533333313240.037533333339720.112643318.121133333313318.1211333333413272.484533333353535.10780.41414.0431257070.215614079.881386666739313.2966666667

Volumefrom0to524933.1232888889

Momentfrom0to5118349.403506944

KB54.7466738176

Transverse Metacenter

WL- 1

ST NO.YY^3SMProduct0000.500.5002019.324810.6003642241810.6003642241.510.7741250.63596482422501.271929648211.9371700.9266339531.52551.3899509295312.9152154.18616087548616.7446435413.52460.37524920.75513.52460.37549841.5613.52460.37524920.75712.1351786.97856037547147.914241588.092529.8679146881.5794.8018720328.54.14771.3184845232142.63696904692.23611.179320256111.1793202569.50.9150.76606087521.5321217510000.5042261.0714128855

Transverse moment of inertiaIT148383.317405242

Transverse metacenterBMT50.9040427417KMT52.344385082

WL- 2

ST NO.YY^3SMProduct0000.500.50020111.3391457.88835121911457.8883512191.512.1041773.31850086423546.637001728212.8092101.5787911291.53152.3681866935313.352379.27037549517.0815413.52460.37524920.75513.52460.37549841.5613.52460.37524920.75712.692043.54810948174.19243689.095752.3295323751.51128.49429856258.55.414158.6918979442317.38379588893.50943.206601229143.2066012299.51.7044.94776166429.895523328100.1190.0016851590.50.000842579547030.1485372275

Transverse moment of inertiaIT165128.077086265

Transverse metacenterBMT19.4238472825KMT21.4799770389

WL- 3

ST NO.YY^3SMProduct0000.500.50020112.0471748.38362782311748.3836278231.512.6642031.01301094424062.026021888213.1222259.4362918481.53389.154437772KMT313.4272420.67768548349682.71074193252.344385082413.52460.37524920.7521.4799770389513.52460.37549841.515.620909386613.52460.37524920.7513.1024817417713.092242.94662948971.78651612.377116213389.887966.4816271031.51449.72244065458.56.281247.7914860412495.58297208294.40685.532955416185.5329554169.52.28711.961853903223.923707806100.20.0080.50.00449591.8274213735

Transverse moment of inertiaIT174122.416279489

Transverse metacenterBMT12.6667084875KMT15.620909386

WL- 4LCB

ST NO.YY^3SMProductSTATION NO.WLWLWLWLWLWLAreaAreaAreaAreaAreaSMProductProductProductProductProductLeverP2P2P2P2P20000.500123450-10-20-30-40-50-10-20-30-40-50-10-20-30-40-50.500200 (F.P.)000000000000.500000500000112.6382018.52927807212018.5292780720.5000007.609000010.77941666672000021.55883333334.5000097.014751.513.0572226.02589619324452.051792386109.32411.33912.04712.63813.09217.921683333375.623933333394.3959136.9066666667179.1545117.921683333375.623933333394.3959136.9066666667179.1545471.6867333333302.4957333333377.5836547.6266666667716.618213.392400.7212191.53601.08182851.5010.77412.10412.66413.05713.32720.991681.4345333333103.65495148.4859333333191.001375241.9832162.8690666667207.3099296.9718666667382.002753.5146.9412570.0417333333725.584651039.40153333331337.009625313.4822450.54661616849802.1864646722011.93712.80913.12213.3913.45723.427983333386.4676666667111.384157.8098666667200.60283333331.535.141975129.7015167.076236.7148300.904253105.425925389.1045501.228710.1444902.71275413.52460.37524920.753012.91513.3513.42713.48213.525.491590.3742666667117.58305164.9566666667207.44958333334101.966361.4970666667470.3322659.8266666667829.79833333332203.932722.9941333333940.66441319.65333333331659.5966666667513.52460.37549841.54013.513.513.513.513.526.77591.8120.4875168.3210.375253.55183.6240.975336.6420.75153.55183.6240.975336.6420.75613.52460.37524920.755013.513.513.513.513.526.77591.8120.4875168.3210.3754107.1367.2481.95673.2841.5SUM581.53585833332168.23612786.035653953.42593333335133.7017916667713.3732391.58892611749566.3557044686013.513.513.513.513.526.77591.8120.4875168.3210.375253.55183.6240.975336.6420.75153.55183.6240.975336.6420.75810.5691180.5970500091.51770.89557501357012.13512.6913.0913.37313.523.910586.1163333333111.645375158.2734200.77495.642344.4653333333446.5815633.0936803.082191.284688.9306666667893.1631266.18721606.168.57.087355.9486075032711.897215006808.0929.0959.88710.56911.17215.7649561.606866666778.3462114.0983333333149.14595833331.523.64742592.4103117.5193171.1475223.7189375370.942275277.2309352.5579513.4425671.156812595.104132.9633648641132.9633648648.504.1475.4146.2817.0877.8597.865936.361866666744.579167.577266666792.3404583333215.731872.723733333389.1582135.1545333333184.68091666673.555.0613254.5330666667312.0537473.0408666667646.38320833339.52.76121.047437081242.094874162902.2363.5094.4065.1045.6554.0740523.435066666727.59227543.848666666762.03937514.0740523.435066666727.59227543.848666666762.039375416.296293.7402666667110.3691175.3946666667248.1575100.2020.0082424080.50.0041212049.500.9151.7042.2872.7613.1351.591211.353733333312.933621.507266666731.595208333323.182422.707466666725.867243.014533333363.19041666674.514.3208102.1836116.4024193.5654284.35687551781.060218347510 (A.P.)000.1190.20.2020.122-0.03371666670.76613333330.7101751.40533333332.01804166670.5-0.01685833330.38306666670.35508750.70266666671.00902083335-0.08429166671.91533333331.77543753.51333333335.0451041667553.4736752020.21653333332610.08756253703.78154734.1373333333SUM401.37028333331602.13383333332027.29653752961.74396666673882.0095Diff-180.165575-566.1022666667-758.7391125-991.6819666667-1251.6922916667Transverse moment of inertiaIT181809.055877753

Transverse metacenterBMT9.3203950644KMT13.1024817417LCB-2.6041430064-2.2417488713-2.3255591066-2.1419880555-2.11517698541.73.45.16.88.5WL- 5-2.6041430064-2.2417488713-2.3255591066-2.1419880555-2.1151769854ST NO.YY^3SMProduct0000.500.57.609440.5373675292881.074735058113.0922243.97487468812243.9748746881.513.3272366.99419678324733.988393566213.4572436.9395549931.53655.4093324895313.52460.37549841.5413.52460.37524920.750.50.50.50.50.555555513.52460.37549841.5222224.54.54.54.54.5613.52460.37524920.751111144444713.52460.37549841.5222223.53.53.53.53.5811.1721394.4173604481.52091.6260406721.51.51.51.51.533333DraftLCB8.57.859485.4023407792970.80468155844444222221.7-2.604143006495.655180.8413863751180.84138637522222111113.4-2.24174887139.53.13530.811485375261.6229707544444000005.1-2.3255591066100.1220.0018158480.50.00090792422222111116.8-2.141988055554185.343323080544444222228.5-2.11517698541.51.51.51.51.533333222223.53.53.53.53.5Transverse moment of inertiaIT190250.7610010381111144444222224.54.54.54.54.5Transverse metacenterBMT7.6304423957KMT12.37711621330.50.50.50.50.555555

Calculation of LCF, BML, KML, MCT 1M

WL -1WL -2WL -3WL -4WL -5

ST NO.PRODUCT of AreaLEVERPRODUCT OF MOMENTMULIFLIERS OF MIPRODUCT of MIST NO.PRODUCT of AreaLEVERPRODUCT OF MOMENTMULIFLIERS OF MIPRODUCT of MIST NO.PRODUCT of AreaLEVERPRODUCT OF MOMENTMULIFLIERS OF MIPRODUCT of MIST NO.PRODUCT of AreaLEVERPRODUCT OF MOMENTMULIFLIERS OF MIPRODUCT of MIST NO.PRODUCT of AreaLEVERPRODUCT OF MOMENTMULIFLIERS OF MIPRODUCT of MI0050500050500050500050500050500.504.504.500.504.504.500.504.504.500.504.504.500.515.2184.568.4814.5308.164519.324437.2964149.184111.339445.3564181.424112.047448.1884192.752112.638450.5524202.208113.092452.3684209.4721.521.5483.575.4183.5263.9631.524.2083.584.7283.5296.5481.525.3283.588.6483.5310.2681.526.1143.591.3993.5319.89651.526.6543.593.2893.5326.5115217.9055353.71653161.1495219.2135357.64053172.9215219.683359.0493177.147220.085360.2553180.765220.1855360.55653181.6695351.662103.322206.64353.42106.82213.6353.7082107.4162214.832353.9282107.8562215.7123542108221642712712742712712742712712742712712742712712755400005540000554000055400005540000SUM296.7505SUM321.5245SUM330.301SUM337.062SUM409.6945627127127627127127627127127627127127627127127748.54297.082194.16750.762101.522203.04752.362104.722209.44753.4922106.9842213.96875421082216812.138336.4143109.242813.6425340.92753122.7825814.8305344.49153133.4745815.8535347.56053142.6815816.758350.2743150.8228.58.2943.529.0293.5101.60158.510.8283.537.8983.5132.6438.512.5623.543.9673.5153.88458.514.1743.549.6093.5173.63158.515.7183.555.0133.5192.545592.23648.944435.77693.509414.036456.14494.406417.624470.49695.104420.416481.66495.655422.62490.489.51.834.58.2354.537.05759.53.4084.515.3364.569.0129.54.5744.520.5834.592.62359.55.5224.524.8494.5111.82059.56.274.528.2154.5126.96751005050100.059550.297551.4875100.150.552.5100.10150.50552.525100.06150.30551.525SUM206.702SUM1312.7735SUM237.015SUM1503.6025SUM258.8855SUM1611.4175SUM276.9235SUM1698.872SUM291.427SUM2074.1575Difference-90.0485Difference-84.5095Difference-71.4155Difference-60.1385Difference-118.2675

Momentaboutmiddle ordinate-14986.4716933333Momentaboutmiddle ordinate-14064.6343866667Momentaboutmiddle ordinate-11885.4436133333Momentaboutmiddle ordinate-10008.6500933333Momentaboutmiddle ordinate-19682.8658

CF(aft)about amidship-5.0546718986CF(aft)about amidship-4.4751861379CF(aft)about amidship-3.6683042993CF(aft)about amidship-3.0163606725CF(aft)about amidship-5.5678261919

Moment of Inertiaaboutmiddle ordinate3451992.17955467Moment of Inertiaaboutmiddle ordinate3953784.92265333Moment of Inertiaaboutmiddle ordinate4237288.92150667Moment of Inertiaaboutmiddle ordinate4467254.14404267Moment of Inertiaaboutmiddle ordinate5454082.87809333

Moment of InertiaaboutC.F3376240.48222691Moment of InertiaaboutC.F3890843.06581149Moment of InertiaaboutC.F4193689.49760111Moment of InertiaaboutC.F4437064.44551585Moment of InertiaaboutC.F5344492.10236061

BML1158.2453662501KMLMCT 1mLCFBML457.6759013018BML308.2458002403BML227.4649816467BML214.35309329031159.685708590420096.669537065-5.0546718986KML1159.6857085904459.732031058123159.7801536398-4.4751861379KML459.7320310581KML311.2000011389KML231.2470683239KML217.3530932903311.200001138924962.4374857209-3.6683042993MCT 1m20096.669537065231.247068323926411.0978899753-3.0163606725MCT 1m23159.7801536398MCT 1m24962.4374857209MCT 1m26411.0978899753MCT 1m31812.4529902417217.353093290331812.4529902417-5.5678261919

MIDSHIP SECTION AREA CALCULATIONS

From0 to1From0 to2From0 to3From0 to4From0 to5

WLYSMY x SMWLYSMY x SMWLYSMY x SMWLYSMY x SMWLYSMY x SM0050001000100010000.40113.58108113.5454113.5340.5113.5454113.5113.5213.5-1-13.5213.5113.5213.5340.5213.5227213.5113.5313.5113.5313.5454313.5113.5413.5113.5413.5113.5513.50.45.494.567.594.5148.559.4

Midship Section Area upto WL526.775Midship Section Area upto WL576.5Midship Section Area upto WL5120.4875Midship Section Area upto WL5168.3Midship Section Area upto WL5210.375

Calculation of CB , CM, CP

WLDraftVolumeBLAmCBCMCP11.72914.96135527144.98126.7750.44898609420.58333333330.769690447123.48501.306393333327146.17376.50.64938117190.83333333330.779257406335.113746.461162527147.195120.48750.69516480540.8750.794474063346.819506.582566666727148.47168.30.733489110.91666666670.800169938258.524933.123288888927151.274210.3750.73612839340.91666666670.8030491564

Summary

WL No.DraftWaterplane AreaDisplacementKBKMTMCT 1mKMLCBCMCPLCBLCF(m)(m^2)(tonnes)(m)(m)(Ton-m)(m)(m)(m)

11.72964.87526666672987.8353888751.440342340352.34438508220096.6695370651159.68570859040.44898609420.58333333330.7696904471-2.6041430064-5.054671898623.43142.80433333338713.83905316672.056129756321.479977038923159.7801536398459.73203105810.64938117190.83333333330.7792574063-2.2417488713-4.475186137935.13240.037533333314090.12269156252.954200898615.62090938624962.4374857209311.20000113890.69516480540.8750.7944740633-2.3255591066-3.668304299346.83318.121133333319994.24713083333.782086677313.102481741726411.0978899753231.24706832390.733489110.91666666670.8001699382-2.1419880555-3.016360672558.53535.107825556.45137111114.746673817612.377116213331812.4529902417217.35309329030.73612839340.91666666670.8030491564-2.1151769854-5.5678261919

Graphs

DisplacementDisplacementDraft(tonnes)(m)

2987.8353888751.78713.83905316673.414090.12269156255.119994.24713083336.825556.45137111118.5

Waterplane AreaWaterplane AreaDraft(m^2)(m)

2964.87526666671.73142.80433333333.43240.03753333335.13318.12113333336.83535.10788.5

KBKBDraft(m)(m)

1.44034234031.72.05612975633.42.95420089865.13.78208667736.84.74667381768.5

KMTKMTDraft(m)(m)

52.3443850821.721.47997703893.415.6209093865.113.10248174176.812.37711621338.5

MCT 1mMCT 1mDrafttonne-m(m)

20096.6695370651.723159.78015363983.424962.43748572095.126411.09788997536.831812.45299024178.5

KMLKMLDraft(m)(m)

1159.68570859041.7459.73203105813.4311.20000113895.1231.24706832396.8217.35309329038.5

LCFLCFDraft(m)(m)

-5.05467189861.7-4.47518613793.4-3.66830429935.1-3.01636067256.8-5.56782619198.5

LCB

LCBDraft(m)(m)-2.60414300641.7-2.24174887133.4-2.32555910665.1-2.14198805556.8-2.11517698548.5

CBDraft(m)CB

1.70.44898609423.40.64938117195.10.69516480546.80.733489118.50.7361283934

CMDraftCM(m)

1.70.58333333333.40.83333333335.10.8756.80.91666666678.50.9166666667

WLWL

Sheet2

Sheet3

Sheet4

Sheet5