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Tank Shell Design: API 650 12th Edition Eqpt: TK-02 One Foot Method

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This document analyzes the design of an API 650 above ground storage tank including calculations for shell and roof thickness.

The tank design is for a vertical cylindrical shell tank with a conical roof supported by rafters and columns.

The shell thickness calculation considers parameters like internal pressure, specific gravity, maximum liquid level, corrosion allowance and material properties like yield strength.

Tank Shell Design Page 1 of 1

API 650 12th Edition


Eqpt: TK-02 One Foot Method

1 Design Conditions
2 105 T [ºC] - Design Temperature Annex M
3 0,000 Pi [KPa] - Internal pressure
3 0,25 Pe [KPa] - External pressure
4 0,936 G [dless] - Specific gravity
5 16,160 HLL [m] - Maximum Liquid level
6 3,0 CA [mm] - Corrosion Allowance

7 Dimensions:
8 57,950 D [m] - inside diameter
9 58,002 Do [m] - outside diameter
10 17,070 H [m] - total tank height
11 2,000 Sh [m] - shell course height
12 9 n [dless] - number of shell courses

13 Material and Conditions:


14 S355 Material
15 345 Sy [MPa] - yield strength
16 186,3 Sd [MPa] - allowable stress x design Annex M
17 201 St [MPa] - allowable stress x test

18 Required Thickness: section 5.6.3.2

19 td1 [mm] = [4,9*D*(HLL-0,3)*G / Sd] + CA ~~ shell thk x design = 25,63


20 tt1 [mm] = [4,9*D*(HLL-0,3) / St] ~~ shell thk x test = 22,41
21 mt [mm] = Minimum thickness ~~ section 5.6.1.1 = 8
22 ut [mm] = Mill under tolerance ~~ section 2.2.1.2.3 = 0,25
23 Tmax1 [mm] = Max(td1,tt1,mt)~~ required minimum thickness Max(25,63;22,41;8) = 25,63

Sh HLL td tt mt Tmax nom thk ut


24 Shell Course Check
[m] [m] [mm] [mm] [mm] [mm] [mm] [mm]
25 1 2,00 16,16 25,63 22,41 8,00 25,63 26 0,25 Ok
26 2 2,00 14,16 22,77 19,58 8,00 22,77 24 0,25 Ok
27 3 2,00 12,16 19,92 16,75 8,00 19,92 21 0,25 Ok
28 4 2,00 10,16 17,07 13,93 8,00 17,07 18 0,25 Ok
29 5 2,00 8,16 14,21 11,10 8,00 14,21 15 0,25 Ok
30 6 2,00 6,16 11,36 8,28 8,00 11,36 12 0,25 Ok
31 7 2,00 4,16 8,51 5,45 8,00 8,51 9 0,25 Ok
32 8 2,00 2,16 5,65 2,63 8,00 8,00 8 0,25 Ok
33 9 1,07 0,16 2,80 -0,20 8,00 8,00 8 0,25 Ok
34 10 0,00 0,00 0,00 0,00 0,00 0,00 0 0,00 Ok
35 11 0,00 0,00 0,00 0,00 0,00 0,00 0 0,00 Ok
36 12 0,00 0,00 0,00 0,00 0,00 0,00 0 0,00 Ok

Tmax provides a worst case required thickness for shell analysis


This sheet will not calculate thick walled tanks
This sheet cannot be used to check for allowable exterior pressure loads.
This sheet is for educational use only - use at your own risk.
Tank Design Page 2 of 3

API 650 12th Edition


Eqpt: TK-02 Supported Roof Design - Cone with columns

1 Design Conditions
2 65 T [ºC] - Design Temperature
3 0.25 Pi [KPa] - Internal pressure
4 0.50 Pe [KPa] - External pressure
5 0.832 G [-] - Specific gravity
6 2.89 B [kPa] - Roof design Load
7 3.0 CAr [mm] - Roof Corrosion Allow.

8 Dimensions:
9 32.0 D [m] - nominal diameter
10 9.5  [º] - cone roof angle
11 2.7 h [m] - roof height
12 18.0 H [m] - total tank height
13 815.0 A [m2] - roof developed area

14 Material and Conditions:


15 A131M A Roof plate material
16 8.0 t [mm] - roof plate nominal thk
17 5.0 tc [mm] - roof plate corroded thk
18 235 Fy [MPa] - roof plate yield strength

19 A36 Rafters / Beams material A106 Gr.B Columns / Pipe material


20 250 Fpy [MPa] - profiles yield strength 250 Fcy [MPa] - profiles yield strength

21 Rafters: Length and Number Required: 5.10.4.4


22 b [mm] = tc * √(1.5 Fy / B) ~~ roof plates spacing (5.10.4.4) = 1,746
23 bmax [mm] = maximum spacing as per code~~ (5.10.4.4) = 2,100
24 breq [mm] = Min (b, bmax)~~ required spacing = 1,746
Rafter 3 Rafter 2 Rafter 1
25 RL [m] = Rafter length adopted ~~ see Study Notes = 6 6 6
26 RD [m] = External diameter of rafters ~~ (see Study Notes) = 10.0 21.0 32.0
27  [deg] = 2 * arcsine (breq / D)~~ angle between rafters (see Study Notes) = 20.1 9.5 6.3

28 Nr [dless] = 360° / ~~ number of rafters on each ring (see Study Notes) = 18 38 58

29 Section Required: Rafter 3 Rafter 2 Rafter 1

30 P [dless] = profile selected for rafters UPN 120 UPN 140 UPN 140
31 Zc [cm3] = selected profile Section Modulus = 60.7 86.4 86.4
32 Wp [KN/m] = selected profile Weight = 0.131 0.157 0.157
33 Ma [KNm] = 0.6*Fpy * Zc~~ allowable bending moment = 9.2 13.0 13.0
34 Ms [KNm] = w * RL2 / 12 ~~ bending moment at supports = 7.6 10.6 11.9
35 w [KN/m] = Wp + Wl + Wr~~ rafters design load = 2.5 3.5 4.0
36 Wl + Wr [KN/m] = B * As / RL~~ roof live load + roof plates load = 2.4 3.4 3.8
37 As [m ] = An / Nb~~ area to be supported by each rafter
2
= 5.0 7.0 7.9
38 An [m2] = A1, A2, A2~~ roof area per ring section - conical trunk area = 89.7 267.7 457.7

39 Check Ma = Ms ≤ Ma = OK OK OK
Page 3 of 3

1 Intermediate Rings: Beams, Length and Section Required:5.10.4.4 Beam 2 Beam 1

2 BL [m] = Beam length adopted ~~ see Study Notes = 6 6


3 BD [m] = Diameter of intermediate rings required ~~ (see Study Notes) = 10 21
4  [deg] = 2 * arcsine (BL / BD)~~ angle of one beam (see Study Notes) = 66.7 30.4

5 Nb [dless] = 360° / ~~ number of beams in one polygon (see Study Notes) = 6 12

6 Section Required: Beam 2 Beam 1

7 P [dless] = profile selected for beams UPN 240 UPN 220


8 Zc [cm3] = selected profile Section Modulus = 300.0 245.0
9 Wp [KN/m] = selected profile Weight = 0.325 0.288
10 Ma [KNm] = 0.6*Fpy * Zc~~ allowable bending moment = 45.0 36.8
11 Ms [KNm] = wv * RL2 / 12 ~~ bending moment at supports = 43.1 34.9
12 wv [KN/m] = (w*RL*Nrb / 2 BL) + Wp * BL~~ beams design load = 14.4 11.6
13 Nrb [dless] = Nr / Nb~~ number of rafters on a single beam = 7.0 5.0

14 Check Ma = Ms ≤ Ma = OK OK

15 Columns: Number and Section Required: 5.10.4.4 Central Column 2 Column 1

16 Nrc [dless] = Nr of columns required~~ equal to number of beams = 1 6 12


17 CL [m] = Columns length~~ as per tank configuration = 20.7 19.8 18.9
18 r [mm] = CL / 180~~ radius of gyration = 114.9 110.2 105.1

19 P [dless] = profile selected for columns - Pipe 14" SCH20 12" SCH20 12" SCH20

20 rp [m] = profile radius of gyration = 123.0 112.0 112.0


21 ap [mm2] = profile area available = 8,090 5,890 5,890
2 2
22 a [mm2] = P * (1 + C (CL / rp ) / Sf ~~ area required (see Study Notes) = 2,810 1,893 1,442
23 P [KN] = wv * BL~~ compression load on the column = 136.7 86.3 69.7
24 Sf [MPa] = 0.5 * Fcy~~ allowable compression stress = 125.0 125.0 125.0
25 C [dless] = 1 / 18000~~ buckling coeficient (see Study Notes) = 0.00006 0.00006 0.00006

26 Check r = r ≤ rp = OK OK OK

27 Check a = a ≤ ap = OK OK OK

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