Sheet1VERTICAL TANK BOTTOM TORISPHERICAL HEAD VOLUME CALCULATIONTank Internal Diameter(3)D2,134mm =84.02inches1372Crown RadiusRi2,134mm =84.02inches1372% Knuckle Radius6.55%Knuckle Radiusri139.8mm =5.50inches130b =D/2 - ri927.2mma =b Ri / (Ri - ri)992.2mmc =((Ri - ri)2 - b2)1,765.6mm =Sin-1 (a / Ri)0.484radians27.7x =Ri Cos - c123.7mm =4.87inchesz =Ri - c - x244.7mm =9.63inchesh =x + z368.4mm =14.51inchesApprox. Head Volume =p / 6 * z (3a2 + z2)+ p / 3 * x ((D/2)2 + (D/2)a + a2)approximate calculation for knuckle section=386.1+412.3=798.4litres =210.91US galsVolume of partially filled Torispherical head:Level in End dish:Liquid Height "h" (mm)Sector AreaKnuckle AreaTotal Head Volume"z""r"Volume (1)"x""r"Volume (2)litres%0%00000992000%10%373739590992091%20%74745563609920365%30%11111167880099208010%40%1471477791420992014218%50%1841848672210992022128%60%2212219463160992031640%70%258245992386131,0004142754%80%295245992386501,02216054668%90%332245992386871,04528366984%100%368.452459923861241,067412798.4100%Notes:(1)Sector volume =PI / 6 * "z" (3 * "r"2 + "z"2)(2)Knuckle volume =PI / 3 * "x" ("r"2 + "r" * a + a2)(3)Torispherical (also called ASME F&D) heads are designed and fabricated in the USA on the basis of using theoutside diameter as their nominal diameter.

&C&A&CPage &PabxRirichz

Sheet100.0113336460.04507216580.10082193230.17818931840.27678069670.39620244030.53517871880.68346969960.83836220511

Column JLevel of FillVolume of FillVertical Torispherical Tank Head Volume

Sheet2VERTICAL TANK BOTTOM TORISPHERICAL HEAD VOLUME CALCULATION1000 ltrs2000 ltrs63 ltrsTank Internal Diameter(3)D484mm =19.06inchest14id1172t14id1372t13.513id480.974Crown RadiusRi484mm =19.06inchesod1200sfod1400sfod508sf% Knuckle Radius10.00%length84250892length1198501248length18150231Knuckle Radiusri48.4mm =1.91inchesflange height65957flange height751323flange height62293volumepi/4(d2)xlength962.2988329779volumepi/4(d2)xlength1845.0693286381volumepi/4(d2)xlength41.970588806452.8267321706b =D/2 - ri193.6mmvolume with flange1032.4215057846volume with flange1955.9508988688volume with flange53.2354221657a =b Ri / (Ri - ri)215.1mmCover flange height65Cover flange height75Cover flange height62c =((Ri - ri)2 - b2)390.2mmcover sf27cover sf48cover sf20 =Sin-1 (a / Ri)0.461radians921238226.4cover flange+sf volume99.2505522802cover flange+sf volume181.8457751783cover flange+sf volume14.898650572x =Ri Cos - c43.4mm =1.71inchesz =Ri - c - x50.4mm =1.99inchestotal volume1153.3843447932total volume2159.5089607754total volume89.8463594661h =x + z93.8mm =3.69inchesanchor volume2.7387.1163594661Approx. Head Volume =p / 6 * z (3a2 + z2)+ p / 3 * x ((D/2)2 + (D/2)a + a2)approximate calculation for knuckle section=3.7+7.1=10.9litres =2.87US galsVolume of partially filled Torispherical head:Level in End dish:Liquid Height "h" (mm)Sector AreaKnuckle AreaTotal Head Volume"z""r"Volume (1)"x""r"Volume (2)litres%0%00000215000%10%999500215001%20%191913310215015%30%2828163102150111%40%3838187202150219%50%4747208302150330%60%5650215462191542%70%66502154152252656%80%75502154252304870%90%84502154342365984%100%93.7950215443242710.9100%Notes:(1)Sector volume =PI / 6 * "z" (3 * "r"2 + "z"2)(2)Knuckle volume =PI / 3 * "x" ("r"2 + "r" * a + a2)(3)Torispherical (also called ASME F&D) heads are designed and fabricated in the USA on the basis of using theoutside diameter as their nominal diameter.2000 ltrs1vessel shell platevessel shell plateod1400mm1.4mthickness14mm0.014mid1372mm1.372mperimeter4354.2474178754mm4.3542474179mlength1198mm1.198mvolume73029437.6926071mm30.0730294377m3density7850kg/m3weight573.281085887kg2torispherical dishBlank sizeod+L/42+2/3r+2*50+2todod1404mm1.404mid1372mm1.372mthicknesst16mm0.016mcrown radiusL1372mm1.372mknuckle radiusr130mm0.13mBlank size1655.3333333333mm1.6553333333mvolume34433469.5638364mm30.0344334696m3weight270.3027360761kg3main flangeouter diaod11485mm1.485minner diaid1372mm1.372mthicknesst156.5mm0.0565mperimeterp14487.765105653mm4.4877651057mlengthl140mm0.04mvolumev110142349.1387758mm30.0101423491m3weightw179.6174407394outer diaod21425mm1.425minner diaid1400mm1.4mthicknesst226.5mm0.0265mlengthl235mm0.035mvolumev254846153.6208349mm30.0548461536m3weightw2430.5423059236inner diaid1372mm1.372mlengthl235mm0.035mvolumev351744732.774306mm30.0517447328m3weightw3406.1961522783weightw4=w2-w324.3461536453total weightw=w1+w4103.9635943846kg4Jacket sealerod1500mm1.5mid1400mm1.4mthickness10mm0.01mperimeter78.5398163397mm0.0785398163mlength50mm0.05mtotal length128.5398163397mm0.1285398163mperimeter4680.9730538488mm4.6809730538mvolume6016914.16633018mm30.0060169142m3weight47.2327762057kg5Handling Hookod170mm0.17mwidth35mm0.035mid100mm0.1mperimeter212.0575041173mm0.2120575041mlength150mm0.15mtotal length362.0575041173mm0.3620575041mthickness18mm0.018mvolume228096.227593906mm30.0002280962m3weight1.7905553866qty5weight8.95277693316Diaphragm ringod350mm0.35mid334mm0.334mthickness8mm0.008mperimeter1074.4246875277mm1.0744246875mlength60mm0.06mvolume515723.8500133mm30.0005157239m3weight4.04843222267Jacket shell plateJacket shell plateod1500mm1.5mthickness10mm0.01mid1480mm1.48mperimeter4680.9730538488mm4.6809730538mlength1089mm1.089mvolume50975796.5564133mm30.0509757966m3density7850kg/m3weight400.1600029678kg8torispherical dish jacketBlank sizeod+L/42+2/3r+2*50+2todod1500mm1.5mid1480mm1.48mthicknesst10mm0.01mcrown radiusL1480mm1.48mknuckle radiusr130mm0.13mBlank size1741.9047619048mm1.7419047619mvolume23830803.9684521mm30.023830804m3weight187.0718111523kgBacking stripodjacket id1480mm1.48midid1468mm1.468mthicknesst6mm0.006mperimeter4630.7075713914mm4.6307075714mlength25mm0.025mvolume694606.135708703mm30.0006946061m3weight5.4526581653Support bracketEarthing bossod40mm0.04mheight25mm0.025mvolume31415.9265358979mm30.0000314159m3weight0.2466150233qty2weight0.493230046631Lifting Hookwidth115mm0.115mlength150mm0.15mthickness18mm0.018mvolume310500mm30.0003105m3weight2.437425kgwidth75.53mbreadth22.24mlength18mvolume15118.0848mm30.0000151181m3weight0.1186769657kg2.2000710686kgqty3weight6.6002132059Bottom standbottom flangeod490mm0.49mid305mm0.305mthickness20mm0.02mvolume2310248.69763359mm30.0023102487m3weight18.1354522764platelength384mm0.384mbreadth408mm0.408mwidth12mm0.012mvolume1880064mm30.001880064m3weight14.7585024qty2weight29.5170048Top flangeod490mm0.49mid140mm0.14mthickness25mm0.025mvolume4329507.37572843mm30.0043295074m3weight33.9866328995

&C&A&CPage &PabxRirichz

Sheet200.0113336460.04507216580.10082193230.17818931840.27678069670.39620244030.53517871880.68346969960.83836220511

Column JLevel of FillVolume of FillVertical Torispherical Tank Head Volume

Sheet3The density of some common metals and alloys are indicated in the table below:Metal or AlloyDensity(kg/m3)Actinium10070Admiralty Brass8525Aluminum2712Aluminum - melted2560 - 2640Aluminum - 11002720Aluminum - 60612720Aluminum - 70502800Aluminum - 71782830Aluminum bronze (3-10% Al)7700 - 8700Aluminum foil2700 -2750Antifriction metal9130 -10600Antimony6690Babbitt7272Barium3594Beryllium1840Beryllium copper8100 - 8250Bismuth9750Brass - casting8400 - 8700Brass - rolled and drawn8430 - 8730Brass 60/408520Bronze - lead7700 - 8700Bronze - phosphorous8780 - 8920Bronze (8-14% Sn)7400 - 8900Brushed metal7860Cadmium8640Caesium1873Calcium1540Cast iron6800 - 7800Cerium6770Chemical Lead11340Chromium7190Cobalt8746Constantan8920Columbium8600Constantan8880Copper8940Cupronickel8908 - 8940Delta metal8600Duralumin2790Electrum8400 - 8900Eroded metal7860Europium5243Gallium5907Germanium5323Gold19320Hafnium13310Hatelloy9245Indium7310Inconel8497Incoloy8027Iridium22650Iron7850Lanthanum6145Lead11340Light alloy based on Al2560 - 2800Light alloy based on Mg1760 - 1870Lithium534Magnesium1738Manganese7440Manganese Bronze8359Manganin8500Mercury13593Molybdenum10188Monel8360 - 8840Neodymium7007Nichrome8400Nickel8908Nickel 208090Nickel 2008890Nickel silver8400 - 8900Nickeline8770Nimonic8100Niobium8570Osmium22610Palladium12160Phosphor bronze8900Platinum21400Plutonium19816Red Brass8746Silver10490Sodium971Solder 50/50 Pb Sn8885Stainless Steel7480 - 8000Steel7850Tin7280Titanium4500Tungsten19600Uranium18900Vanadium5494White metal7100Wrought Iron7750Zinc7135Zirconium6570Yellow Brass84701 kg/m3= 0.0624 lb/ft3= 0.000036127 lb/in3Unit ConverterZSymElementOrigin of name[1]GroupPeriodWeightu()Densityg/cm3MeltKBoilKHeatJ/gKNeg10Abundancemg/kg1HHydrogentheGreek'hydro' and 'genes' meaningwater-formingN/A11.00794(7)23490.0000898814.17520.2814.3042.214002HeHeliumthe Greek, 'helios' meaningsun1814.002602(2)240.00017850.9564.225.1930.0083LiLithiumthe Greek 'lithos' meaningstone126.941(2)234590.534453.8516153.5820.98204BeBerylliumthe Greek name for beryl, 'beryllo'229.012182(3)1.851560.1527421.8251.572.85BBorontheArabic'buraq', which was the name for borax13210.811(7)23492.342573.1542001.0262.04106CCarbontheLatincarbo, meaningcharcoal14212.0107(8)2492.2673915 (sublimates)3915 (sublimates)0.7092.552007NNitrogenthe Greek 'nitron' and 'genes' meaningnitre-forming15214.0067(2)2490.001250663.2977.361.043.04198OOxygenthe Greek 'oxy' and 'genes' meaningacid-forming16215.9994(3)2490.00142950.590.20.9183.444610009FFluorinethe Latin 'fluere', meaningto flow17218.9984032(5)0.00169653.6385.030.8243.9858510NeNeonthe Greek 'neos', meaningnew18220.1797(6)230.000899924.70327.071.030.00511NaSodiumtheEnglishwordsoda(natriumin Latin)[2]1322.98976928(2)0.971371.1511561.2280.932360012MgMagnesiumMagnesia, a district of EasternThessalyinGreece2324.3050(6)1.738923.1513631.0231.312330013AlAluminiumthe Latin name for alum, 'alumen' meaningbitter salt13326.9815386(8)2.698933.427920.8971.618230014SiSiliconthe Latin 'silex' or 'silicis', meaningflint14328.0855(3)492.32961683.1535380.7051.928200015PPhosphorusthe Greek 'phosphoros', meaningbringer of light15330.973762(2)1.82317.255530.7692.19105016SSulfurEither from theSanskrit'sulvere', or the Latin 'sulfurium', both names for sulfur[2]16332.065(5)2492.067388.51717.80.712.5835017ClChlorinethe Greek 'chloros', meaninggreenish yellow17335.453(2)23490.003214172.31239.110.4793.1614518ArArgonthe Greek, 'argos', meaningidle18339.948(1)240.001783783.9687.30.523.519KPotassiumthe English wordpotash(kaliumin Latin)[2]1439.0983(1)0.862336.510320.7570.822090020CaCalciumthe Latin 'calx' meaninglime2440.078(4)21.541112.1517570.64714150021ScScandiumScandinavia(with the Latin nameScandia)3444.955912(6)2.9891812.1531090.5681.362222TiTitaniumTitans, the sons of the Earth goddess of Greek mythology4447.867(1)4.541933.1535600.5231.54565023VVanadiumVanadis, the oldNorsename for the Scandinavian goddessFreyja5450.9415(1)6.112175.1536800.4891.6312024CrChromiumthe Greek 'chroma', meaningcolour6451.9961(6)7.152130.1529440.4491.6610225MnManganeseEither the Latin 'magnes', meaningmagnetor from theblack magnesium oxide, 'magnesia nigra'7454.938045(5)7.441519.1523340.4791.5595026FeIrontheAnglo-Saxonnameiren(ferrumin Latin)8455.845(2)7.8741808.1531340.4491.835630027CoCobalttheGermanword 'kobald', meaninggoblin9458.933195(5)8.861768.1532000.4211.882528NiNickelthe shortened of the German 'kupfernickel' meaning eitherdevil's copperorSt. Nicholas's copper10458.6934(4)8.9121726.1531860.4441.918429CuCopperthe Old English namecoperin turn derived from the Latin 'Cyprium aes', meaninga metal fromCyprus11463.546(3)48.961357.7528350.3851.96030ZnZincthe German, 'zinc', which may in turn be derived from thePersianword 'sing', meaningstone12465.38(2)7.134692.8811800.3881.657031GaGalliumFrance(with the Latin nameGallia)13469.723(1)5.907302.9124770.3711.811932GeGermaniumGermany(with the Latin nameGermania)14472.63(1)5.3231211.4531060.322.011.533AsArsenicthe Greek name 'arsenikon' forthe yellow pigmentorpiment15474.92160(2)5.7761090.1578870.3292.181.834SeSeleniumMoon(with the Greek nameselene)16478.96(3)44.809494.159580.3212.550.0535BrBrominethe Greek 'bromos' meaningstench17479.904(1)3.122266.053320.4742.962.436KrKryptonthe Greek 'kryptos', meaninghidden18483.798(2)230.003733115.93119.930.2483