"WEIGHTS" Program

Doc"WEIGHTS" --- PIPE AND TANK WEIGHT CALCULATION PROGRAMProgram Description:"WEIGHTS" is a spreadsheet program written in MS-Excel for the purpose of calculating the weights of pipes and tanksor vessels. Specifically, the weight of pipes either empty or full of contents, with/without insulation, and with/without icebuildup is determined. The volume and weight of tanks or vessels of various top/bottom or end configuations isdetermined.This program is a workbook consisting of five (5) worksheets, described as follows:Worksheet NameDescriptionDocThis documentation sheetPipe WeightsCalculate weights of standard weight steel pipesPipe Rack WeightCalculate weight of rack of standard weight steel pipesVert. Tank Volume & WeightCalculate volume and weight of a vertical cylindrical tankHoriz. Tank Volume & WeightCalculate volume and weight of a horizontal cylindrical tankProgram Assumptions and Limitations:1. Worksheets for Pipe Weights and Pipe Rack Weight assume use of standard weight (STD) steel pipe fordiameters from 1/2" up through 36".2. Worksheet for Vert. Tank Volume & Weight assumes vertical cylindrical tank, and permits use of various top andbottom configuations. Tops may be either flat, spherical, or elliptical. Bottoms may be either flat, elliptical,spherical, or conical.3. Worksheet for Horiz. Tank Volume & Weight assumes vertical horizontal tank, and permits use of various endconfiguations. Left and right ends may be either flat, elliptical, or spherical.4. Worksheet for Vert. Tank Volume & Weight assumes wall thickness of center, cylindrical section is same as for topand bottom. Where top and/or bottom thickness are not the same as center, cylindrical section, the user mayaccount for the difference by including an estimated correction weight (+/-) in the Misc. Weight input.5. Worksheet for Horiz. Tank Volume & Weight assumes wall thickness of center, cylindrical section is same as for bothends. Where end thicknesses are not the same as center, cylindrical section, the user may account for thedifference by including an estimated correction weight (+/-) in the Misc. Weight input.6. This program contains several comment boxes which contain a wide variety of information includingexplanations of input or output items, equations used, data tables, etc. (Note: presence of a comment boxis denoted by a red triangle in the upper right-hand corner of a cell. Merely move the mouse pointer to thedesired cell to view the contents of that particular "comment box".)

Pipe WeightsCALCULATION OF INDIVIDUAL PIPE WEIGHTSVersion 1.5For Standard Weight (STD) Steel Pipeand Empty or Full of Contents, with/without Insulation, and with/without Ice BuildupJob Name:Subject:Job Number:Originator:Checker:Input Data:Specific Gravity of Contents =1.05Insulation Thickness, t(insul) =2.00in.Insulation Density =9.00pcfIce Thickness, t(ice) =1.00in.Results:Combination Weights (plf)NominalOutsideInsidePipeContentsInsulationIcePipe +Pipe +Pipe +Pipe +Pipe +Pipe +PipeDiameterDiameterWeightWeightWeightWeightContentsContents +Contents +Contents +InsulationInsulation +Dia.(in.)(in.)(plf)(plf)(plf)(plf)InsulationInsul. + IceIceIce1/20.8400.6220.850.141.127.130.992.109.248.121.979.103/41.0500.8241.130.241.207.391.372.579.968.762.339.7211.3151.0491.680.391.307.722.073.3811.099.792.9810.701-1/41.6601.3802.270.681.448.142.954.3912.5211.093.7111.841-1/21.9001.6102.720.931.538.433.655.1813.6112.084.2512.6822.3752.0673.651.531.729.015.186.8915.9114.195.3714.382-1/22.8752.4695.792.181.919.627.979.8819.5017.597.7017.3333.5003.0687.583.362.1610.3810.9413.1023.4921.339.7420.123-1/24.0003.5489.114.502.3611.0013.6115.9626.9624.6011.4722.4644.5004.02610.795.792.5511.6116.5819.1330.7428.1913.3424.9555.5635.04714.629.102.9712.9023.7226.6939.6036.6317.5930.4966.6256.06518.9713.153.3914.2032.1235.5049.7046.3222.3636.5688.6257.98128.5522.764.1716.6551.3155.4872.1367.9632.7249.371010.75010.02040.4835.885.0119.2476.3681.37100.6195.6045.4964.731212.75012.00049.5651.465.7921.69101.02106.81128.50122.7155.3577.041414.00013.25054.6062.746.2823.21117.34123.62146.83140.5560.8884.101616.00015.25062.6083.117.0725.66145.71152.78178.43171.3669.6795.321818.00017.25070.60106.347.8528.10176.94184.79212.89205.0478.45106.552020.00019.25078.60132.428.6430.54211.02219.66250.21241.5787.24117.782222.00021.25087.00161.379.4232.99248.37257.79290.78281.3696.42129.412424.00023.25094.60193.1710.2135.43287.77297.98333.41323.20104.81140.242626.00025.250102.60227.8411.0037.87330.44341.43379.31368.31113.60151.472828.00027.250110.60265.3611.7840.32375.96387.74428.06416.28122.38162.703030.00029.250118.70305.7412.5742.76424.44437.01479.77467.20131.27174.033232.00031.250126.70348.9813.3545.20475.68489.03534.24520.88140.05185.263434.00033.250134.70395.0814.1447.65529.78543.92591.56577.43148.84196.483636.00035.250142.70444.0414.9250.09586.74601.66651.75636.83157.62207.71Formulas Used:Pipe Weight =(p*(OD^2-ID^2)/4)*(490/144)(Note: plain standard steel pipe weights shown in table are taken from references below.)Contents Weight =(SG*w(contents))*(p*ID^2/4)/144(Note: densitiy of water is assumed = 62.4 pcf.)Insulation Weight =w(insul)*(t(insul)/12)*(p*(OD+t(insul))/12)Ice Weight =w(ice)*(t(ice)/12)*(p*(OD+2*t(insul)+t(ice))/12)(Note: density of ice is assumed = 56.0 pcf.)References:1. AISC Manual of Steel Construction, 9th Edition (for pipes from 1/2" diameter through 12" diameter)2. ITT Grinnell Pipe Hanger and Engineering Manual (for pipes from 14 " diameter through 36" diameter)

&R"WEIGHTS.xls" ProgramVersion 1.5&C&P of &N&R&D &T"WEIGHTS.xls"written by: Alex Tomanovich, P.E.Properties for Standard weight (STD) pipe are taken from AISC Manual of Steel Construction, 9th Edition and the ITT Grinnell Pipe Hanger and Engineering Manual.Properties for Standard weight (STD) pipe are taken from AISC Manual of Steel Construction, 9th Edition and the ITT Grinnell Pipe Hanger and Engineering Manual.Properties for Standard weight (STD) pipe are taken from AISC Manual of Steel Construction, 9th Edition and the ITT Grinnell Pipe Hanger and Engineering Manual.O.D.t(insul)t(ice)I.D.Pipe Nomenclature

Pipe Rack WeightCALCULATION OF PIPE RACK WEIGHTCALCULATIONS:Version 1.5For Pipe Rack Using Standard Weight (STD) Steel Pipeand Empty or Full of Contents, with/without Insulation, and with/without Ice BuildupSTD Pipe SizeO.D.I.D.twt./ft.Job Name:Subject:1/21/20.8400.6220.1090.85Job Number:Originator:Checker:3/43/41.0500.8240.1131.13111.3151.0490.1331.681-1/41-1/41.6601.3800.1402.271-1/21-1/21.9001.6100.1452.72222.3752.0670.1543.652-1/22-1/22.8752.4690.2035.79333.5003.0680.2167.583-1/23-1/24.0003.5480.2269.11444.5004.0260.23710.79555.5635.0470.25814.62666.6256.0650.28018.97888.6257.9810.32228.55101010.75010.0200.36540.48121212.75012.0000.37549.56141414.00013.2500.37554.60Input and Calculation Table:161616.00015.2500.37562.60Each PipeTotal Wt./ft.181818.00017.2500.37570.60NominalNo. ofContentsInsulationInsulationIcePipe +(Pipe +202020.00019.2500.37578.60Note: for no pipe to be selected, the userPipeDuplicatedSpecificTypeThicknessThicknessContents +Contents +222222.00021.2500.37587.00may select a "blank" from pick box options.Dia.Pipes (Np)GravityUsed(in.)(in.)Insul. + IceInsul. + Ice)*Np242424.00023.2500.37594.60Otherwise, the user should clear contents240.00Calcium Silicate2.000.006.0424.14262626.00025.2500.375102.60of any unused input cells by highlighting241.05Foamglass2.000.006.8927.58282828.00027.2500.375110.60the cells to be cleared, right-clicking on PC321.00Fiberglass3.000.0013.7627.52303030.00029.2500.375118.70mouse, and selecting "Clear Contents".321.05Fiberglass3.000.0013.9227.84323232.00031.2500.375126.70DO NOT clear contents of any unused431.05Polyurethane3.000.0017.6652.99343434.00033.2500.375134.70input cells by using the spacebar.431.05Polyurethane3.000.0017.6652.99363636.00035.2500.375142.70611.00None0.000.0031.4931.49Calcium Silicate611.00None0.000.0031.4931.49Foamglass611.05Foamglass2.000.0035.5035.50FiberglassInsulation TypeDensity (pcf)611.05Foamglass2.000.0035.5035.50PolyurethaneCalcium Silicate12.500.000.00NoneFoamglass9.000.000.00Fiberglass7.000.000.00Polyurethane2.200.000.000.000.00Each PipeTotal Wt./ft.0.000.00OutsideInsideWallNo. ofPipeContentsInsulationInsulationIcePipe +(Pipe +0.000.00DiameterDiameterThicknessDuplicatedWeightWeightDensityWeightWeightContents +Contents +0.000.00(in.)(in.)(in.)Pipes (Np)(plf)(plf)(pcf)(plf)(plf)Insul. + IceInsul. + Ice)*Np0.000.002.3752.0670.15443.650.0012.502.390.006.0424.140.000.002.3752.0670.15443.651.539.001.720.006.8927.583.5003.0680.21627.583.207.002.980.0013.7627.52Total Pipe Rack Weight =347.05 plf3.5003.0680.21627.583.367.002.980.0013.9227.844.5004.0260.237310.795.792.201.080.0017.6652.99Formulas Used (per pipe):4.5004.0260.237310.795.792.201.080.0017.6652.99Pipe Weight =(p*(OD^2-ID^2)/4)*(490/144)6.6256.0650.280118.9712.520.000.000.0031.4931.49Contents Weight =(SG*w(contents))*(p*ID^2/4)/1446.6256.0650.280118.9712.520.000.000.0031.4931.49Insulation Weight =w(insul)*(t(insul)/12)*(p*(OD+t(insul))/12)6.6256.0650.280118.9713.159.003.390.0035.5035.50Ice Weight =w(ice)*(t(ice)/12)*(p*(OD+2*t(insul)+t(ice))/12)6.6256.0650.280118.9713.159.003.390.0035.5035.500.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.000.0000.0000.00000.000.000.000.000.000.000.00Total Pipe Load for Rack =347.05

&R"WEIGHTS.xls" ProgramVersion 1.5&C&P of &N&R&D &T"WEIGHTS.xls"written by: Alex Tomanovich, P.E.Typical insulation densities are: calcium silicate = 12.5 pcf foamglass = 9.0 pcf fiberglass = 7.0 pcf polyurethane = 2.2 pcfFor reference, unit weight of water = 62.4 pcf, having a specific gravity = 1.0.For air or steam lines, input specific gravity = 0.For pipes with exterior (outside) exposure subjected to freezing rain, an ice buildup should be considered.For reference, density of ice = 56.0 pcf, having a specific gravity = 0.90.Select pipe diameter from pick boxes below. For no pipe to be selected, the user may select a "blank" from the pick box options. Otherwise, the user should clear contents of any unused input cells by highlighting the cells to be cleared, right-clicking on PC mouse, and selecting "Clear Contents". DO NOT clear the contents of any unused input cells with a "blank space" (spacebar).Input total number of duplicated pipes with same given diameter, specific gravity, insulation and ice criteria.O.D.t(insul)t(ice)I.D.Pipe Nomenclature

Vert. Tank Volume & WeightCALCULATION OF VERTICAL TANK VOLUME AND WEIGHTCALCULATIONS:Version 1.5For Cylindrical Thin-Walled Tank with either Flat, Spherical, or Elliptical Topand either Flat, Spherical, Elliptical, or Conical BottomOutside Dimensions:Job Name:Subject:FlatO.D. =8.6875ft.OD=ID+2*t/12Job Number:Originator:Checker:EllipticalTotal H =16.5833ft.H = ht+hc+hbSphericalConicalSurface Area:Input Data:Flat Top =N.A.ft.^2A(top) = pi*OD^2/4Spherical Top =N.A.ft.^2A(top) = pi*(OD^2+4*ht^2)/4Tank Diameter, I.D. =8.6250ft.Elliptical Top =69.10ft.^2A(top) = (pi*(2*(OD/2)^2+ht^2/e*LN((1+e)/(1-e))))/2Tank Wall Thk., t =0.3750in.Vert. Cylinder =272.93ft.^2A(cylinder) = pi*OD*hcTop Configuration =EllipticalFlat Bottom =N.A.ft.^2A(bottom) = pi*OD^2/4Top Height, ht =1.2500ft.Spherical Bottom =N.A.ft.^2A(bottom) = pi*(OD^2+4*hc^2)/4Cylinder Height, hc =10.0000ft.Elliptical Bottom =N.A.ft.^2A(bottom) = (pi*(2*(OD/2)^2+hb^2/e*LN((1+e)/(1-e))))/2Bottom Configuration =ConicalConical Bottom =101.97ft.^2A(bottom) = pi/4*(OD+do)*SQRT(4*hb^2+(OD-do)^2)Bottom Height, hb =5.3333ft.Total Surface Area =444.00ft.^2A(total) = A(top)+A(cylinder)+A(bottom)Outlet Diameter, do =1.3333ft.where: e = SQRT((OD/2)^2-h^2)/(OD/2), and h =ht or hbShell Density, ws =490.00pcfEmpty Weight:Contents Density, wc =62.43pcfFlat Top =N.A.lbs.We(top) = A(top)*((t/12)*ws+wi*ti/12)Insulation Density, wi =12.00pcfSpherical Top =N.A.lbs.We(top) = A(top)*((t/12)*ws+wi*ti/12)Insulation Thk., ti =2.000in.Elliptical Top =1196.36lbs.We(top) = A(top)*((t/12)*ws+wi*ti/12)Calculate Skirt Weight for Skirt-Supported Tank:Misc. Weight, Wm =1000.00lbs.Vert. Cylinder =4725.03lbs.We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)Skirt Dia., O.D. =8.6875ft.Flat Bottom =N.A.lbs.We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12)Skirt Wall Thk., ts =0.5000in.0Spherical Bottom =N.A.lbs.We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12)Skirt Height, hs =10.0000ft.0Elliptical Bottom =N.A.lbs.We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12)Skirt Weight =5572.2lbs.Skirt Weight = (pi*OD*hs)*((ts/12)*wsConical Bottom =1765.33lbs.We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12)Vertical Tank NomenclatureMisc. =1000.00lbs.Wm = Misc. Wt. given as inputNote:Skirt weight calculated above may be input(assumed full of contents)Total Empty Weight =8686.72lbs.We(total) = We(top)+We(cylinder)+We(bottom)+Wmas Misc.Weight, Wm, in input data (cell C22).Results:Volume:Outside Dimensions:Flat Top =N.A.ft.^3V(top) = 0Outside Dia., O.D. =8.6875ft.OD=ID+2*t/12Spherical Top =N.A.ft.^3V(top) = pi*(ht-t/12)*(3*OD^2+4*(ht-t/12)^2)/24Total Height, H =16.5833ft.H = ht+hc+hbElliptical Top =47.47ft.^3V(top) = (4/3*pi*(ID/2)^2*(ht-t/12))/2Vert. Cylinder =584.26ft.^3V(cylinder) = pi*ID^2/4*hcSurface Area:Flat Bottom =N.A.ft.^3V(bottom) = 0A(top) =69.10ft.^2A(top) = (pi*(2*(OD/2)^2+ht^2/e*LN((1+e)/(1-e))))/2Spherical Bottom =N.A.ft.^3V(bottom) = pi*(hb-t/12)*(3*ID^2+4*(hb-t/12)^2)/24A(cylinder) =272.93ft.^2A(cylinder) = pi*OD*hcElliptical Bottom =N.A.ft.^3V(bottom) = (4/3*pi*(ID/2)^2*(hb-t/12))/2A(bottom) =101.97ft.^2A(bottom) = pi/4*(OD+do)*SQRT(4*hb^2+(OD-do)^2)Conical Bottom =121.69ft.^3V(bottom) = pi*(hb-t/12)/12*(ID^2+ID*do+do^2)A(total) =444.00ft.^2A(total) = A(top)+A(cylinder)+A(bottom)Total Volume =753.42ft.^3V(total) = V(top)+V(cylinder)+V(bottom)where: e = SQRT((OD/2)^2-h^2)/(OD/2), and h =ht or hb=5635.99gal.V(total) = (V(top)+V(cylinder)+V(bottom))*7.4805Empty Weight:Full Contents Weights:We(top) =1196.4lbs.We(top) = A(top)*((t/12)*ws+wi*ti/12)Flat Top =N.A.lbs.Wc(top) = V(top)*(t/12)*wcWe(cylinder) =4725.0lbs.We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)Spherical Top =N.A.lbs.Wc(top) = V(top)*(t/12)*wcWe(bottom) =1765.3lbs.We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12)Elliptical Top =2963.64lbs.Wc(top) = V(top)*(t/12)*wcWm =1000.0lbs.Wm = Misc. Wt. given as inputVert. Cylinder =36475.51lbs.Wc(cylinder) = V(cylinder)*wcWe(total) =8686.7lbs.We(total) = We(top)+We(cylinder)+We(bottom)+WmFlat Bottom =N.A.lbs.Wc(bottom) = V(bottom)*wcSpherical Bottom =N.A.lbs.Wc(bottom) = V(bottom)*wcElliptical Bottom =N.A.lbs.Wc(bottom) = V(bottom)*wcConical Bottom =7597.09lbs.Wc(bottom) = V(bottom)*wcTotal Contents Weight =47036.24lbs.Wc(total) = Wc(top)+Wc(cylinder)+Wc(bottom)Volume:Total Weight of Tank + Full Contents:V(top) =47.47ft.^3V(top) = (4/3*pi*(ID/2)^2*(ht-t/12))/2Total Wt =55722.95lbs.Wt(total) = We(total)+Wc(total)V(cylinder) =584.26ft.^3V(cylinder) = pi*ID^2/4*hcV(bottom) =121.69ft.^3V(bottom) = pi*(hb-t/12)/12*(ID^2+ID*do+do^2)V(total) =753.42ft.^3V(total) = V(top)+V(cylinder)+V(bottom)=5635.99gal.V(total) = (V(top)+V(cylinder)+V(bottom))*7.4805Full Contents Weight:Wc(top) =2963.6lbs.Wc(top) = V(top)*(t/12)*wcWc(cylinder) =36475.5lbs.Wc(cylinder) = V(cylinder)*wcWc(bottom) =7597.1lbs.Wc(bottom) = V(bottom)*wcWc(total) =47036.2lbs.Wc(total) = Wc(top)+Wc(cylinder)+Wc(bottom)Weight of Tank + Full Contents:Wt(total) =55723.0lbs.Wt(total) = We(total)+Wc(total)Comments:

&R"WEIGHTS.xls" ProgramVersion 1.5&C&P of &N&R&D &T"WEIGHTS.xls"written by: Alex Tomanovich, P.E.Note:For open-top tanks, the user can take the weight of the program assumed top, "We(top)", calculated in Cell C43 and then input that value as a "negative" (-) Misc. Weight, "Wm", in Cell C22 for it to be deducted from the total weight, "We(total)".O.D.dohchtchbHI.D.tt

Horiz. Tank Volume & WeightCALCULATION OF HORIZONTAL TANK VOLUME AND WEIGHTCALCULATIONS:Version 1.5For Cylindrical Thin-Walled Tank with either Flat, Elliptical, or Spherical EndsOutside Dimensions:Job Name:Subject:FlatO.D. =12.0696666667ft.OD=ID+2*t/12Job Number:Originator:Checker:EllipticalTotal L =24.2840ft.L = Ll+Lc+LrSphericalSurface Area:Input Data:Flat Left End =N.A.ft.^2A(left end) = pi*OD^2/4Spherical Left End =N.A.ft.^2A(left end) = pi*(OD^2+4*Ll^2)/4Tank Diameter, I.D. =12.0280ft.Elliptical Left End =157.69ft.^2A(leftend) = (pi*(2*(OD/2)^2+Ll^2/e*LN((1+e)/(1-e))))/2Tank Wall Thk., t =0.2500in.Horiz. Cylinder =692.76ft.^2A(cylinder) = pi*OD*LcLeft End Configuration =EllipticalFlat Right End =N.A.ft.^2A(right end) = pi*OD^2/4Left End Length, Ll =3.0070ft.Spherical Right End =N.A.ft.^2A(right end) = pi*(OD^2+4*Lr^2)/4Cylinder Length, Lc =18.2700ft.Elliptical Right End =157.69ft.^2A(right end) = (pi*(2*(OD/2)^2+Lr^2/e*LN((1+e)/(1-e))))/2Rt. End Configuration =EllipticalRight End Length, Lr =3.0070ft.Total Surface Area =1008.15ft.^2A(total) = A(left end)+A(cylinder)+A(right end)Shell Density, ws =490.00pcfwhere: e = SQRT((OD/2)^2-Le^2)/(OD/2), and Le = Ll or LrContents Density, wc =62.43pcfEmpty Weight:Insulation Density, wi =0.00pcfFlat Left End =N.A.lbs.We(left end) = A(left end)*((t/12)*ws+wi*ti/12)Insulation Thk., ti =0.000in.Spherical Left End =N.A.lbs.We(left end) = A(left end)*((t/12)*ws+wi*ti/12)Misc. Weight, Wm =0.00lbs.Horizontal Tank NomenclatureElliptical Left End =1609.78lbs.We(left end) = A(left end)*((t/12)*ws+wi*ti/12)0(assumed full of contents)Horiz. Cylinder =7071.94lbs.We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)0Flat Right End =N.A.lbs.We(right end) = A(right end)*((t/12)*ws+wi*ti/12)Results:Spherical Right End =N.A.lbs.We(right end) = A(right end)*((t/12)*ws+wi*ti/12)Elliptical Right End =1609.78lbs.We(right end) = A(right end)*((t/12)*ws+wi*ti/12)Outside Dimensions:Outside Dia., O.D. =12.0697ft.OD=ID+2*t/12Misc. =0.00lbs.Wm = Misc. Wt. given as inputTotal Length, L =24.2840ft.L = Ll+Lc+LrTotal Empty Weight =10291.50lbs.We(total) = We(left end)+We(cylinder)+We(right end)+WmSurface Area:Volume:A(left end) =157.69ft.^2A(leftend) = (pi*(2*(OD/2)^2+Ll^2/e*LN((1+e)/(1-e))))/2Flat Left End =N.A.ft.^3V(left end) = 0A(cylinder) =692.76ft.^2A(cylinder) = pi*OD*LcSpherical Left End =N.A.ft.^3V(left end) = pi*(Ll-t/12)*(3*OD^2+4*(Ll-t/12)^2)/24A(right end) =157.69ft.^2A(right end) = (pi*(2*(OD/2)^2+Lr^2/e*LN((1+e)/(1-e))))/2Elliptical Left End =226.20ft.^3V(left end) = (4/3*pi*(ID/2)^2*(Ll-t/12))/2A(total) =1008.15ft.^2A(total) = A(left end)+A(cylinder)+A(right end)Horiz. Cylinder =2075.94ft.^3V(cylinder) = pi*ID^2/4*Lcwhere: e = SQRT((OD/2)^2-Le^2)/(OD/2), and Le = Ll or LrFlat Right End =N.A.ft.^3V(right end) = 0Spherical Right End =N.A.ft.^3V(right end) = pi*(Lr-t/12)*(3*ID^2+4*(Lr-t/12)^2)/24Empty Weight:Elliptical Right End =226.20ft.^3V(right end) = (4/3*pi*(ID/2)^2*(Lr-t/12))/2We(left end) =1609.8lbs.We(left end) = A(left end)*((t/12)*ws+wi*ti/12)We(cylinder) =7071.9lbs.We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)Total Volume =2528.35ft.^3V(total) = V(left end)+V(cylinder)+V(right end)We(right end) =1609.8lbs.We(right end) = A(right end)*((t/12)*ws+wi*ti/12)=18913.32gal.V(total) = (V(left end)+V(cylinder)+V(right end))*7.4805Wm =0.0lbs.Wm = Misc. Wt. given as inputWe(total) =10291.5lbs.We(total) = We(left end)+We(cylinder)+We(right end)+WmFull Contents Weights:Flat Left End =N.A.lbs.Wc(left end) = V(left end)*(t/12)*wcVolume:Spherical Left End =N.A.lbs.Wc(left end) = V(left end)*(t/12)*wcV(left end) =226.20ft.^3V(left end) = (4/3*pi*(ID/2)^2*(Ll-t/12))/2Elliptical Left End =14121.89lbs.Wc(left end) = V(left end)*(t/12)*wcV(cylinder) =2075.94ft.^3V(cylinder) = pi*ID^2/4*LcHoriz. Cylinder =129601.07lbs.Wc(cylinder) = V(cylinder)*wcV(right end) =226.20ft.^3V(right end) = (4/3*pi*(ID/2)^2*(Lr-t/12))/2Flat Right End =N.A.lbs.Wc(right end) = V(right end)*wcV(total) =2528.35ft.^3V(total) = V(left end)+V(cylinder)+V(right end)Spherical Right End =N.A.lbs.Wc(right end) = V(right end)*wc=18913.32gal.V(total) = (V(left end)+V(cylinder)+V(right end))*7.4805Elliptical Right End =14121.89lbs.Wc(right end) = V(right end)*wcTotal Contents Weight =157844.86lbs.Wc(total) = Wc(left end)+Wc(cylinder)+Wc(right end)Full Contents Weight:Total Weight of Tank + Full Contents:Wc(left end) =14121.9lbs.Wc(left end) = V(left end)*(t/12)*wcTotal Wt =168136.36lbs.Wt(total) = We(total)+Wc(total)Wc(cylinder) =129601.1lbs.Wc(cylinder) = V(cylinder)*wcWc(right end) =14121.9lbs.Wc(right end) = V(right end)*wcWc(total) =157844.9lbs.Wc(total) = Wc(left end)+Wc(cylinder)+Wc(right end)Weight of Tank + Full Contents:Wt(total) =168136.4lbs.Wt(total) = We(total)+Wc(total)Comments:

&R"WEIGHTS.xls" ProgramVersion 1.5&C&P of &N&R&D &T"WEIGHTS.xls"written by: Alex Tomanovich, P.E.LLcttO.D.LlLrI.D.