"WEIGHTS" --- PIPE AND TANK WEIGHT CALCULATION PROGRAM

Program Description:

"WEIGHTS" is a spreadsheet program written in MS-Excel for the purpose of calculating the weights of pipes and tanks

or vessels. Specifically, the weight of pipes either empty or full of contents, with/without insulation, and with/without ice

buildup is determined. The volume and weight of tanks or vessels of various top/bottom or end configuations is

determined.

This program is a workbook consisting of five (5) worksheets, described as follows:

Worksheet Name DescriptionDoc This documentation sheet

Pipe Weights Calculate weights of standard weight steel pipes

Pipe Rack Weight Calculate weight of rack of standard weight steel pipes

Vert. Tank Volume & Weight Calculate volume and weight of a vertical cylindrical tank

Horiz. Tank Volume & Weight Calculate volume and weight of a horizontal cylindrical tank

Program Assumptions and Limitations:

1. Worksheets for Pipe Weights and Pipe Rack Weight assume use of standard weight (STD) steel pipe for

diameters from 1/2" up through 36".

2. Worksheet for Vert. Tank Volume & Weight assumes vertical cylindrical tank, and permits use of various top and

bottom 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 end

configuations. 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 top

and bottom. Where top and/or bottom thickness are not the same as center, cylindrical section, the user may

account 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 both

ends. Where end thicknesses are not the same as center, cylindrical section, the user may account for the

difference 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 including

explanations of input or output items, equations used, data tables, etc. (Note: presence of a “comment box”

is denoted by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the

desired cell to view the contents of that particular "comment box".)

"WEIGHTS.xls" ProgramVersion 1.5

2 of 8 04/08/2023 06:19:54

CALCULATION OF INDIVIDUAL PIPE WEIGHTSFor Standard Weight (STD) Steel Pipe

and 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 = 1.052.00 in.

Insulation Density = 9.00 pcf

1.00 in.

Results:

Nominal Outside Inside Pipe Contents Insulation Ice Pipe + Pipe + Pipe + Pipe + Pipe + Pipe +Pipe Diameter Diameter Weight Weight Weight Weight Contents Contents + Contents + Contents + Insulation Insulation +Dia. (in.) (in.) (plf) (plf) (plf) (plf) Insulation Insul. + Ice Ice Ice1/2 0.840 0.622 0.85 0.14 1.12 7.13 0.99 2.10 9.24 8.12 1.97 9.103/4 1.050 0.824 1.13 0.24 1.20 7.39 1.37 2.57 9.96 8.76 2.33 9.721 1.315 1.049 1.68 0.39 1.30 7.72 2.07 3.38 11.09 9.79 2.98 10.70

1-1/4 1.660 1.380 2.27 0.68 1.44 8.14 2.95 4.39 12.52 11.09 3.71 11.841-1/2 1.900 1.610 2.72 0.93 1.53 8.43 3.65 5.18 13.61 12.08 4.25 12.68

2 2.375 2.067 3.65 1.53 1.72 9.01 5.18 6.89 15.91 14.19 5.37 14.382-1/2 2.875 2.469 5.79 2.18 1.91 9.62 7.97 9.88 19.50 17.59 7.70 17.33

3 3.500 3.068 7.58 3.36 2.16 10.38 10.94 13.10 23.49 21.33 9.74 20.123-1/2 4.000 3.548 9.11 4.50 2.36 11.00 13.61 15.96 26.96 24.60 11.47 22.46

4 4.500 4.026 10.79 5.79 2.55 11.61 16.58 19.13 30.74 28.19 13.34 24.955 5.563 5.047 14.62 9.10 2.97 12.90 23.72 26.69 39.60 36.63 17.59 30.496 6.625 6.065 18.97 13.15 3.39 14.20 32.12 35.50 49.70 46.32 22.36 36.568 8.625 7.981 28.55 22.76 4.17 16.65 51.31 55.48 72.13 67.96 32.72 49.37

10 10.750 10.020 40.48 35.88 5.01 19.24 76.36 81.37 100.61 95.60 45.49 64.7312 12.750 12.000 49.56 51.46 5.79 21.69 101.02 106.81 128.50 122.71 55.35 77.0414 14.000 13.250 54.60 62.74 6.28 23.21 117.34 123.62 146.83 140.55 60.88 84.1016 16.000 15.250 62.60 83.11 7.07 25.66 145.71 152.78 178.43 171.36 69.67 95.3218 18.000 17.250 70.60 106.34 7.85 28.10 176.94 184.79 212.89 205.04 78.45 106.5520 20.000 19.250 78.60 132.42 8.64 30.54 211.02 219.66 250.21 241.57 87.24 117.7822 22.000 21.250 87.00 161.37 9.42 32.99 248.37 257.79 290.78 281.36 96.42 129.4124 24.000 23.250 94.60 193.17 10.21 35.43 287.77 297.98 333.41 323.20 104.81 140.2426 26.000 25.250 102.60 227.84 11.00 37.87 330.44 341.43 379.31 368.31 113.60 151.4728 28.000 27.250 110.60 265.36 11.78 40.32 375.96 387.74 428.06 416.28 122.38 162.7030 30.000 29.250 118.70 305.74 12.57 42.76 424.44 437.01 479.77 467.20 131.27 174.0332 32.000 31.250 126.70 348.98 13.35 45.20 475.68 489.03 534.24 520.88 140.05 185.2634 34.000 33.250 134.70 395.08 14.14 47.65 529.78 543.92 591.56 577.43 148.84 196.4836 36.000 35.250 142.70 444.04 14.92 50.09 586.74 601.66 651.75 636.83 157.62 207.71

Formulas Used: (Note: plain standard steel pipe weights shown in table are taken from references below.)Contents Weight = (Note: densitiy of water is assumed = 62.4 pcf.)

Insulation Weight =Ice Weight = (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)

Insulation Thickness, t(insul) =

Ice Thickness, t(ice) =

Combination Weights (plf)

Pipe Weight = (p*(OD^2-ID^2)/4)*(490/144)(SG*w(contents))*(p*ID^2/4)/144w(insul)*(t(insul)/12)*(p*(OD+t(insul))/12)w(ice)*(t(ice)/12)*(p*(OD+2*t(insul)+t(ice))/12)

O.D.

t(insul)

t(ice)I.D.

Pipe Nomenclature

"WEIGHTS.xls" ProgramVersion 1.5

3 of 8 04/08/2023 06:19:54

CALCULATION OF PIPE RACK WEIGHTFor Pipe Rack Using Standard Weight (STD) Steel Pipe

and Empty or Full of Contents, with/without Insulation, and with/without Ice BuildupJob Name: Subject: 1/2

Job Number: Originator: Checker: 3/4###

1-1/41-1/2###

2-1/2###

3-1/2##################14

Input and Calculation Table: 16Each Pipe Total Wt./ft.

Nominal No. of Contents Insulation Insulation Ice Pipe + (Pipe +Pipe Duplicated Specific Type Thickness Thickness Contents + Contents +Dia. Pipes (Np) Gravity Used (in.) (in.) Insul. + Ice Insul. + Ice)*Np

2 4 0.00 Calcium Silicate 2.00 0.00 6.04 24.142 4 1.05 Foamglass 2.00 0.00 6.89 27.583 2 1.00 Fiberglass 3.00 0.00 13.76 27.523 2 1.05 Fiberglass 3.00 0.00 13.92 27.844 3 1.05 Polyurethane 3.00 0.00 17.66 52.994 3 1.05 Polyurethane 3.00 0.00 17.66 52.996 1 1.00 None 0.00 0.00 31.49 31.496 1 1.00 None 0.00 0.00 31.49 31.496 1 1.05 Foamglass 2.00 0.00 35.50 35.506 1 1.05 Foamglass 2.00 0.00 35.50 35.50

###Total Pipe Rack Weight = 347.05 plf

###Formulas Used (per pipe): ###

###Contents Weight = ###

Insulation Weight = ###

Pipe Weight = (p*(OD^2-ID^2)/4)*(490/144)(SG*w(contents))*(p*ID^2/4)/144w(insul)*(t(insul)/12)*(p*(OD+t(insul))/12)

O.D.

t(insul)

t(ice)I.D.

Pipe Nomenclature

"WEIGHTS.xls" ProgramVersion 1.5

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Ice Weight = ###w(ice)*(t(ice)/12)*(p*(OD+2*t(insul)+t(ice))/12)

"WEIGHTS.xls" ProgramVersion 1.5

5 of 8 04/08/2023 06:19:54

CALCULATION OF VERTICAL TANK VOLUME AND WEIGHTFor Cylindrical Thin-Walled Tank with either Flat, Spherical, or Elliptical Top

and either Flat, Spherical, Elliptical, or Conical BottomJob Name: Subject: Flat

Job Number: Originator: Checker: EllipticalSphericalConical

Input Data: Flat Top =Spherical Top =

Tank Diameter, I.D. = 8.6250 ft. Elliptical Top =Tank Wall Thk., t = 0.3750 in. Vert. Cylinder =

Top Configuration = Elliptical Flat Bottom =1.2500 ft. Spherical Bottom =

10.0000 ft. Elliptical Bottom =Bottom Configuration = Conical Conical Bottom =

5.3333 ft. Total Surface Area =1.3333 ft.

490.00 pcf

62.43 pcf Flat Top =12.00 pcf Spherical Top =2.000 in. Elliptical Top =

1000.00 lbs. Vert. Cylinder =Flat Bottom =

Spherical Bottom =Elliptical Bottom =Conical Bottom =

Vertical Tank Nomenclature Misc. =(assumed full of contents) mpty Weight =

Results:

Outside Dimensions: Flat Top =Outside Dia., O.D. = 8.6875 ft. OD=ID+2*t/12 Spherical Top =

Total Height, H = 16.5833 ft. H = ht+hc+hb Elliptical Top =Vert. Cylinder =

Surface Area: Flat Bottom =A(top) = 69.10 ft.^2 A(top) = (pi*(2*(OD/2)^2+ht^2/e*LN((1+e)/(1-e))))/2Spherical Bottom =

A(cylinder) = 272.93 ft.^2 A(cylinder) = pi*OD*hc Elliptical Bottom =A(bottom) = 101.97 ft.^2 A(bottom) = pi/4*(OD+do)*SQRT(4*hb^2+(OD-do)^2)Conical Bottom =

A(total) = 444.00 ft.^2 A(total) = A(top)+A(cylinder)+A(bottom) Total Volume =where: e = SQRT((OD/2)^2-h^2)/(OD/2), and h =ht or hb =

Empty Weight:We(top) = 1196.4 lbs. We(top) = A(top)*((t/12)*ws+wi*ti/12) Flat Top =

We(cylinder) = 4725.0 lbs. We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)Spherical Top =We(bottom) = 1765.3 lbs. We(bottom) = A(bottom)*((t/12)*ws+wi*ti/12) Elliptical Top =

Wm = 1000.0 lbs. Wm = Misc. Wt. given as input Vert. Cylinder =We(total) = 8686.7 lbs. We(total) = We(top)+We(cylinder)+We(bottom)+WmFlat Bottom =

Spherical Bottom =Elliptical Bottom =Conical Bottom =

Top Height, ht =Cylinder Height, hc =

Bottom Height, hb =Outlet Diameter, do =

Shell Density, ws =Contents Density, wc =Insulation Density, wi =

Insulation Thk., ti =Misc. Weight, Wm =

O.D.

do

hc

htc

hb

H

I.D.t t

"WEIGHTS.xls" ProgramVersion 1.5

6 of 8 04/08/2023 06:19:54

Total Contents Weight =

Volume:V(top) = 47.47 ft.^3 V(top) = (4/3*pi*(ID/2)^2*(ht-t/12))/2 Total Wt =

V(cylinder) = 584.26 ft.^3 V(cylinder) = pi*ID^2/4*hcV(bottom) = 121.69 ft.^3 V(bottom) = pi*(hb-t/12)/12*(ID^2+ID*do+do^2)

V(total) = 753.42 ft.^3 V(total) = V(top)+V(cylinder)+V(bottom)= 5635.99 gal. V(total) = (V(top)+V(cylinder)+V(bottom))*7.4805

Full Contents Weight:Wc(top) = 2963.6 lbs. Wc(top) = V(top)*(t/12)*wc

Wc(cylinder) = 36475.5 lbs. Wc(cylinder) = V(cylinder)*wcWc(bottom) = 7597.1 lbs. Wc(bottom) = V(bottom)*wc

Wc(total) = 47036.2 lbs. Wc(total) = Wc(top)+Wc(cylinder)+Wc(bottom)

Weight of Tank + Full Contents:Wt(total) = 55723.0 lbs. Wt(total) = We(total)+Wc(total)

Comments:

"WEIGHTS.xls" ProgramVersion 1.5

7 of 8 04/08/2023 06:19:54

CALCULATION OF HORIZONTAL TANK VOLUME AND WEIGHTFor Cylindrical Thin-Walled Tank with either Flat, Elliptical, or Spherical Ends

Job Name: Subject: FlatJob Number: Originator: Checker: Elliptical

Spherical

Input Data: Flat Left End =Spherical Left End =

Tank Diameter, I.D. = 8.6250 ft. Elliptical Left End =Tank Wall Thk., t = 0.3750 in. Horiz. Cylinder =

Left End Configuration = Spherical Flat Right End =2.3333 ft. Spherical Right End =7.6667 ft. Elliptical Right End =

Rt. End Configuration = Spherical2.3333 ft. Total Surface Area =490.00 pcf

62.43 pcf

12.00 pcf Flat Left End =2.000 in. Spherical Left End =

1000.00 lbs. Horizontal Tank Nomenclature(assumed full of contents)

Flat Right End =Results: Spherical Right End =

Elliptical Right End =Outside Dimensions:

Outside Dia., O.D. = 8.6875 ft. OD=ID+2*t/12 Misc. =Total Length, L = 12.3333 ft. L = Ll+Lc+Lr Total Empty Weight =

Surface Area:A(left end) = 76.38 ft.^2 A(left end) = pi*(OD^2+4*Ll^2)/4 Flat Left End =A(cylinder) = 209.24 ft.^2 A(cylinder) = pi*OD*Lc Spherical Left End =

A(right end) = 76.38 ft.^2 A(right end) = pi*(OD^2+4*Lr^2)/4 Elliptical Left End =A(total) = 362.00 ft.^2 A(total) = A(left end)+A(cylinder)+A(right end)Horiz. Cylinder =

Flat Right End =Spherical Right End =

Empty Weight: Elliptical Right End =We(left end) = 1322.3 lbs. We(left end) = A(left end)*((t/12)*ws+wi*ti/12)We(cylinder) = 3622.5 lbs. We(cylinder) = A(cylinder)*((t/12)*ws+wi*ti/12)Total Volume =

We(right end) = 1322.3 lbs. We(right end) = A(right end)*((t/12)*ws+wi*ti/12) =Wm = 1000.0 lbs. Wm = Misc. Wt. given as input

We(total) = 7267.2 lbs. We(total) = We(left end)+We(cylinder)+We(right end)+WmFlat Left End =

Volume: Spherical Left End =V(left end) = 73.64 ft.^3 V(left end) = pi*(Ll-t/12)*(3*OD^2+4*(Ll-t/12)^2)/24Elliptical Left End =V(cylinder) = 447.94 ft.^3 V(cylinder) = pi*ID^2/4*Lc Horiz. Cylinder =

V(right end) = 73.64 ft.^3 V(right end) = pi*(Lr-t/12)*(3*ID^2+4*(Lr-t/12)^2)/24Flat Right End =V(total) = 595.21 ft.^3 V(total) = V(left end)+V(cylinder)+V(right end)Spherical Right End =

= 4452.48 gal. V(total) = (V(left end)+V(cylinder)+V(right end))*7.4805Elliptical Right End =

Left End Length, Ll =Cylinder Length, Lc =

Right End Length, Lr =Shell Density, ws =

Contents Density, wc =Insulation Density, wi =

Insulation Thk., ti =Misc. Weight, Wm =

L

Lc

t

t

O.D.

Ll Lr

I.D.

"WEIGHTS.xls" ProgramVersion 1.5

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Total Contents Weight =

Full Contents Weight:Wc(left end) = 4597.2 lbs. Wc(left end) = V(left end)*(t/12)*wc Total Wt = Wc(cylinder) = 27964.7 lbs. Wc(cylinder) = V(cylinder)*wc

Wc(right end) = 4597.2 lbs. Wc(right end) = V(right end)*wcWc(total) = 37159.1 lbs. Wc(total) = Wc(left end)+Wc(cylinder)+Wc(right end)

Weight of Tank + Full Contents:Wt(total) = 44426.3 lbs. Wt(total) = We(total)+Wc(total)

Comments: