v 2154 101 a 217 b_mechanical calculation (t 1301)
TRANSCRIPT
7/28/2019 V 2154 101 a 217 B_Mechanical Calculation (T 1301)
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Project: NOEV LUBE OIL BLENDING PLANT
Job No.: AL-2499
Document No.: V-2154-101-A-217
Reference Drawing: V-2154-101-A-204_Rev.D & V-2154-101-A-208_Rev.B
Vessel Name: Fuel Oil Tank
Tank Tag No.: T-1301
B 5/17/2013
A 3/13/2013
Rev Date
L.N.B
MECHANICAL CALCULATION SHEET
Description Prepared Approval
Issue for review / approval
Issue for review / approval L.D.T
L.D.T
L.A.V
L.A.V
Checked
L.N.B
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev. No.: B
INDEX PAGE
1. Design Data 2
2. Weight Calculation Sheet 3
3. Shell Thickness Calculation 3
4. Bottom Plate Calculation 4
5. Intermediate Wind Girder 4
6. Roof Calculation 5
7. Overturning Stability of Tank against Wind Load 7
8. Seismic Analysis 99. Compression Ring at Roof-to-Shell Joint 13
10. Anchor Bolt Calculation 14
11. Nozzle calculation 16
12. Manhole calculation 17
13. Welding 20
14. Lifting lug Calculation 22
15. Conclusion 26
MECHANICAL CALCULATION SHEET
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1. Design Data
1.1 Basic information
Design Code : API 650 11th Edition (Appendix A & Appendix J) Errata, October 2011
Service: Fuel Oil Tank
Design pressureMaximum Internal pressure P = 0.34 barg = 0.034 MPa G (Full 3.5 meters of water)
External pressure 0.0 barg = 0.0 MPa G
Working pressure 0.0 barg = 0.0 MPa G
Design temperature 80.0 degree C
Working temperature Ambient
Corrosion allowance 1.0 mm
Vessel inside diameter 2150 mm (O/D = 2162 mm)
Vessel length 3500 mm
1.2 Summary of Design Data
2. Weight Calculation Sheet
No.Thickness
(mm)Q'ty
Unit
Weight
k
Total
Weight
k
1 Shell 6.0 1 1119.7 1119.7
Remark
Ea
Unit
FLUID DIESEL OIL -
SPECIFIC GRAVITY 0.865 -
DESIGN DATACODE API 650 11TH EDITION (APPENDIX A & APPENDIX J) ERRATA, OCTOBER 2011
ITEM NO. T-1301
ITEM NAME FUEL OIL TANK
UNIT
PRESSURE
DESIGN (INT. / EXT.) 0.034 (FULL OF WATER) / 0 MPa G
OPERATING A.T.M MPa G
PNEUMATIC TEST NO MPa G
HYDRO. TEST FULL OF WATER MPa G
TYPE SELF-SUPPORTING CONE ROOF TANK -
TANK INSIDE DIAMETER 2150 mm
TEMPERATURE
DESIGN 80 oC
OPERATING AMBIENT oC
M.D.M.T - oC
TANK LENGTH 3500 mm
CORROSION ALLOWANCE 1.0 mm
RADIOGRAPHY SPOT -
JOINT EFFICIENCY 0.85 -
P.W.H.T NO -
IMPACT TEST NO -
INSULATION NO mm
FIRE PROOFING NO mm
BASIC WIND SPEED 38.61 m/sec
SEISMIC (PEAK GROUND ACCELEBRATION) 0.1291g -
WEIGHT
EMPTY 2254 kg
OPERATING 13438.5 kg
FULL OF WATER 15184 kg
MAIN MATERIALS OF CONSTRUCTION
SHELL / BOTTOM / CONE ROOF A-36
NOZZLE NECK A-106 GR.B
NOZZLE FLANGE A-105 / A-36
Description
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499
2 Bottom Plate 8.0 1 302.1 302.13
3 Roof 6.0 1 185.69 185.69
4 Top Angle Bar - 100x100x8 - 1 85.62 85.62
6 Bracket - 95x95x10 10 9 0.52 4.65
7 Gusset Plate 10 8 1.08 8.67
8 Base Plate 10 4 2.47 9.87
9 Shell Manhole M1 - Neck 8 1 20.7 20.710 Shell Manhole M1 - Cover Plate 12 1 51.2 51.2
11 Shell Manhole M1 - Flange 8 1 16.4 16.4
12 Shell Manhole M1 - Hinge Bracket 8 2 0.64 1.3
13 Shell Manhole M1 - Hinge Bracket 8 2 0.92 1.8
14 Shell Manhole M1 - Bolts & Nuts - 28 0.25 7.0
15 Shell Manhole M1 - Reinforcement 6 1 44.95 44.95
16 Roof Manhole M2 - Neck 6 1 14.4 14.4
17 Roof Manhole M2 - Cover Plate 6 1 16.1 16.1
18 Roof Manhole M2 - Flange 8 1 8.6 8.6
19 Roof Manhole M2 - Hinge Bracket 6 2 0.33 0.7
20 Roof Manhole M2 - Hinge Bracket 6 2 0.58 1.2
21 Roof Manhole M2 - Bolts & Nuts - 16 0.25 4.0
22 Roof Manhole M2 - Reinforcement 6 1 15.02 15.02
23 Nozzle N1 - Neck - 0.159 11.00 1.75 2" SCH 160
24 Nozzle N1 - Flange - 1 2.30 2.30 2" 150#
25 Nozzle N2 - Neck - 0.35 11.00 3.85 2" SCH 160
26 Nozzle N2 - Flange - 1 2.30 2.30 2" 150#
27 Nozzle N3 - Neck - 0.159 11.00 1.75 2" SCH 160
28 Nozzle N3 - Flange - 1 2.30 2.30 2" 150#
29 Nozzle N4 - Neck - 0.159 11.00 1.75 2" SCH 160
30 Nozzle N4 - Flange - 1 2.30 2.30 2" 150#
31 Nozzle N5 - Neck - 3.646 11.00 40.11 2" SCH 160
32 Nozzle N5 - Flange - 1 2.30 2.30 2" 150#33 Nozzle V1 - Neck - 0.18 21.00 3.78 3" SCH 160
34 Nozzle V1 - Flange - 1 3.70 3.70 3" 150#
35 Flame Arrestor - 1 8.00 8.00 3"
36 Handrail Components - - 150.00 150.00
37 Ladder Components - - 100.00 100.00
38 Lifting Lug 20 2 4.20 8.40
Empty Weight (We) 2254.0
Weight of Liquid at Operating Level 11184.5
Weight of Full Water 12930
Total Weight of Liquid at Operating Level (Wp) 13438.5
Total Weight of Full Water (W t) 15184.0
3. Shell Thickness Calculation (Refer to API 650 11th Edition, Errara, October 2011, Appendix A, Para. A.4.1)
3.1 Minimum required thickness of shell included corrosion allowance (t):
where:
t : Nominal shell thickness, in mm
D : Nominal diameter of the tank = 2.156 m
H : Design Liquid Level = 3.5 m
G : Specific Gravity of the Liquid = 1.0
(Shall not be less than 1.0)
E : Joint Efficiency = 0.85
CA : Corrosion allowance = 1.0 mm
Plate of dimension width 2.438 m is selected for f irst shell course
With the tank height of 3.5 m, the second shell course will be 1.062 m width.
Ea
m
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
m
m
Ea
m
Ea
-
-
Ea
m
Ea
m
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
Ea
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev
3.2 First Shell Course:
4.9 x 2.156 x ( 3.5 -0.3) x 1.0
Minimum Shell Thickness shall not be less than 5 mm (API 650 11th Edition, Errata, October 2011, Clause 5.6.1.1)
Choose Nominal thickness of shell, ts1 = 6 mm
3.3 Second Shell Course:
4.9 x 2.156 x ( 1.062 -0.3) x 1.0
Minimum Shell Thickness shall not be less than 5 mm (API 650 11th Edition, Errata, October 2011, Clause 5.6.1.1)
Choose Nominal thickness of shell, ts2 = 6 mm
3.4 Weight of Shell, Ws = 1119.7 kg = 10.984 KN
4. Bottom Plate Calculation (Refer to API 650 11th Edition, Errara, October 2011, Appendix J, Para. J.3.2)
4.1 Bottom Plate Thickness Calculation
Minimum thickness required excluding corrosion allowance (Refer to J.3.2.1) = 6 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness required including C.A = 7.00 mm
Choose thickness of Bottom Plate = 8 mm
4.2 Bottom Plate Diameter
Refer to API 650 11th Edition, Errara, October 2011, Appendix J, Para. J.3.2
Choose Bottom Plate Diameter = 2470 mm
4.3 Weight of Bottom Plate, Wf = 302.13 kg = 2.964 KN
5. Intermediate Wind Girder
5.1 The maximum height of the unstiffened shell (As per API 650 11th Edition, Errara, October 2011, Appendix J, Para. J.3.4)
= 492.9 m
where:
t : As ordered thickness of the top shell course = 6.0 mm
D : Nominal tank diameter = 2.156 m
V : Design Wind Speed (As per Specification) = 38.61 m/s = 139 km/h
5.2 The height of transformed Shell Calculation (As per API 650 11th Edition, Errara, October 2011, Para. 5.9.7.2)
5.2.1 Transposed width of each shell course
where:
W : Actual width of each shell course, in mm
tuniform : As ordered thickness of the top shell course, in mm = 6.0 mm
mm
1.274
t2 = + 1.00 = 1.065
=
0.85 x 145
t1 = mm0.85 x 145
+ 1.00
= 9.47
3
x190
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tactual : As ordered thickness of the shell course for which the transposed width is being calculated, in mm
1st Shell course :
t1 : As ordered thickness of 1st shell course = 6.0 mm
W1 : Actual width of 1st shell course = 2438.0 mm
Wtr1 : Transposed width of 1st shell course = 2438.0 mm
2nd Shell course :
t2 : As ordered thickness of 2nd shell course = 6.0 mm
W2 : Actual width of 2nd shell course = 1062.0 mm
Wtr2 : Transposed width of 2nd shell course = 1062.0 mm
5.2.2 The height of transformed Shell
Htr = = 3500 mm = 3.5 m
5.3 Refer to API 650 11th Edition, Errara, October 2011, Para. 5.9.7.3
Htr < H1 => Intermediate Wind Girder is not required
6. Roof Calculation (Refer to API 650 11th Edition, Errara, October 2011, Para. 5.10)
6.1 Roof Thickness Calculation
Minimum thickness required excluding corrosion allowance (Refer to 5.10.2.2) = 5 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness required including C.A = 6.00 mm
Choose thickness of Roof Plate = 6 mm
6.2 Self-Supporting Cone Roof
Refer to API 650 11th Edition, Errara, October 2011, Para. 5.10.5.1
Then
With Roof Plate thickness chosen above tR = 6 mm > 5 mm (Minimum thickness requirement)
and tR = 6 mm < 13 mm (Maximum thickness requirement)
=> Roof Plate is Self-Supporting Cone Roof
mm=
= 3.9 mm
mm3.53=
W tr1 + W tr2
tR1 =
tR2 =
tR3 5
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where :
D : Nominal diameter of the tank shell = 2.156 m
T : Greater of Appendix R load combinations (e)(1) and (e)(2) with balanced snow load S b (kPa)
Combination e(1) P1 = DL + (Lr or S b) + 0.4Pe (API 650 11th Edition, Errara, October 2011, App. R)
Combination e(2) P2 = DL + Pe + 0.4(Lr or S b) (API 650 11th Edition, Errara, October 2011, App. R)
DL : Dead Load of the roof = 1.377 kPa (DL = Wrt / Ar )
Lr : Live load on the roof = 1.00 kPa
Pe : External Pressure = 0.25 kPa (As per 5.2.1)
Sb : Balanced snow load = 0.00 kPa
P1 = 2.48 kPa
P2 = 2.03 kPa
=> T = Greater of (P1, P2) = 2.48 kPa
U : Greater of Appendix R load combinations (e)(1) and (e)(2) with unbalanced snow load S u (kPa)
Combination e(1) P1 = DL + (Lr or Su) + 0.4Pe (API 650 11th Edition, Errara, October 2011, App. R)
Combination e(2) P2 = DL + Pe + 0.4(Lr or Su) (API 650 11th Edition, Errara, October 2011, App. R)
DL : Dead Load of the roof = 1.377 kPa (DL = Wrt / Ar )
Lr : Live load on the roof = 1.00 kPa
Pe : External Pressure = 0.25 kPa (As per 5.2.1)
Su : Unbalanced snow load = 0.00 kPa
P1 = 2.48 kPa
P2 = 2.03 kPa
=> U = Greater of (P1, P2) = 2.48 kPa
θ : Angle of the cone element to the horizontal = 9.46 degree (Slope = 1 : 6)
C.A : Corrosion Allowance = 1.00 mm
tR : Roof plate thickness = 6 mm (Including Corrosion Allowance)
Rr : Roof developed radius = 1120.235 mm
Ar : Roof developed area = 3942464 mm2
Wr : Weight of Roof = 185.6901 kg = 1.8216 kN
Wra : Weight of Roof Attachments = 367.78 kg = 3.6079 kN
Wrt : Total Weight of Roof = = 553.47 kg = 5.4295 kN
7. Overturning Stability of Tank against Wind Load (Refer to API 650 11th Edition, Errara, October 2011, Para. 5.11)
7.1 Wind Design Data
Pi : Internal Design Pressure = 0 kPa
D : Tank outside diameter = 2.162 m
R : Tank outside radius = 1.081 m
H : Tank height = 3.5 m
WDL : Weight of the shell and roof structural supported by the shell that is not attached to roof plate
= Weight of shell + top angle + Handrail + Ladder = 1455.3 kg = 14277 N
WDLR : Weight of the roof plate plus any attached structural
Wr + Wra
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= Weight of roof + Nozzle N5, V1, Flame Arrestor + Manhole M2 = 303.5 kg = 2977 N
We : Empty Weight of Tank = 2254.0 kg = 22112 N
7.2 Overturning Wind Moment Calculation
The wind load (pressure) acting on vertical projected areas of cylindrical surfaces = 0.86 KPa
The wind load (pressure) acting on horizontal projected areas of conical surfaces = 1.44 KPa
These wind pressures are based on a wind speed of 190 km/h
The modified wind pressure can be calculated by multiplying (V/190)2
to the wind loads above, with V = 139 km/h
The wind load (pressure) acting on projected areas of cylindrical surfaces, P1 = 0.46 KPa
The wind load (pressure) acting on projected areas of conical surfaces, P2 = 0.77 KPa
Wind force on the cylindrical surface
F1 = D x H x P1 x 1000 = 2.162 x 3.5 x 0.46 x 1000 = 3.5 KN
Wind force on the conical surface
F2 = π x R2
x P2 x 1000 = π x 1.0812
x 0.77 x 1000 = 2.8 KN
Overturning Wind Moment
For tank to be structurally stable without anchorage, the following uplift criteria shall satisfy:
3.5 x 3.5 + 2.8 x 2.162
29.154= KNm= =
× + ×
2
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where:
Fp = Pressure combination factor (App. R.2) = 0.4
MPi = Moment about the shell-to-bottom joint from design Internal Pressure
= 0.5 x D x [(π x D2/4) x Pi] = 0
Mw = Overturning Moment about the shell-to-bottom joint from horizontal plus vertical wind Pressure
= 9.154 KNm
MDL = Moment about the shell-to-bottom joint from the nominal weight of the shell and roof structural supported
by the shell that is not attached to roof plate
= 0.5 x D x WDL = = 15433 Nm
MDLR = Moment about the shell-to-bottom joint from the nominal weight of the roof plate plus any attached structural
= 0.5 x D x WDLR = = 3218.2 Nm
MF = Moment about the shell-to-bottom joint from liquid weight
= WL x D/2 = = 89699 Nm
where
WL = π x D x wL = = 82977 N
wL : The Liquid Weight = = 12217 N/m
Fby : Minimum specified yield stress of the bottom plate under the shell = 250 MPa
H : Design Liquid Height = 3.5 m
tb : Required corroded thickness of the bottom plate under the shell = 7.00 mm
For Criteria 1
= = 5.4922 kNm
= = 13.507 kNm
For Criteria 2
= = 9.1536 kNm
= = 55.784 kNm
Since,
<
<
=> Anchorage is not required to resist Wind Moment
7.3 Resistance to Sliding Calculation (Refer to API 650 11th Edition, Errara, October 2011, Para. 5.11.4)
Total wind forces on tank surfaces:
Fwind = F1 + F2 = = 6.3 KN
Allowable sliding friction:
Ffriction = Maximum of 0.4 of Tank Weight = = 8.845 KN
π x 2.162 x 12217
0.5 x 2.162 x 2977
89699 x 2.162 / 2
0.5 x 2.162 x 14276.6
3.5 + 2.8
0.4 x We
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Fwind < Ffriction => Anchorage is not required to resist Sliding
8. Seismic Analysis (Refer to API 650 11th Edition, Errara, October 2011, Appendix E)
8.1 Seismic Loads Design
8.1.1 Geometry Data
SP : Design level peak ground acceleration parameter = 0.1291 (As per Specification)
I : Importance factor = 1 (As per Specification)
Av : Vertical Seismic accelebration coefficient = 0.14 x SDS = 0.067 (As per Para. E.6.1.3)
where:
SDS : The design, 5% damped, spectral response acceleration parameter at short
periods (T= 0.2 seconds) based on ASCE 7 methods, , equals Q x Fa x Ss = 0.4786
D : nominal tank diameter = 2.156 m
H : Max. design produce level (Max. Liquid Level) = 3.5 m
ts : Thickness of bottom shell course less C.A = 7.0 mm
t : Thickness of the shell ring under consideration = 6.0 mm
G : Specific gravity (Shall not be less than 1.0) = 1.0
Wp : Total weight of the tank contents = 13438.5 kg = N
Wf : Weight of the tank bottom = 302.13 kg = N
8.1.2 Convective (Sloshing) Period
The first mode sloshing wave period
= 1.528 sec
where:
Ks : The sloshing period coefficient = = 0.578
Regional-dependent transition period for longer period ground motion
TL = 4 sec
=> Tc < TL
Ts = = 0.727
where:
S1 : Mapped, maximum considered earthquake, 5% damped, spectral response
acceleration parameter at a period of one second, %g (As per E.4.3) = 1.25 SP = 0.161
SS : Mapped, maximum considered earthquake, 5% damped, spectral response
acceleration parameter at short periods (0.2 sec), %g (As per E.4.3) = 2.5 SP = 0.323
Fv : Velocity-based site coefficient (Interpolate from Table E-1) = 2.156
Fa : Acceleration-based site coefficient (Interpolate Table E-2) = 1.483
8.1.3 Design Spectral Response Accelebrations
Impulsive spectral accelebration parameter, Ai
0.1197=
2964
131831.2
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Convective spectral acceleration parameter, Ac (When Tc < TL)
where:
Q : Scaling factor from the MCE to the design level spectral accelerations = 1
K : Coefficient to adjust the spectral acceleration from 5% – 0.5% damping
= 1.5 unless otherwise specified = 1.5
Fa : Acceleration-based site coefficient (As per Table E-2) = 1.483
S0 : Mapped, maximum considered earthquake, 5% damped, spectral response
acceleration parameter at a period of zero seconds (peak ground
acceleration for a rigid structure), %g (As per E.4.1) = 0.4 SS = 0.1291
Rwi : Force reduction factor for the impulsive mode using allowable stress
design methods (As per Table E-4) = 4
Rwc : Force reduction coefficient for the convective mode using allowable stress
design methods (As per Table E-4) = 2
Ts = 0.727
Tc : The first mode sloshing wave period = 1.528
8.2 Overturning Stability against Seismic Loading
Ratio
D/H = = 0.616 is less than 1.333
8.2.1 Effective Weight of Product (Refer to API 650 11th Edition, Errara, October 2011, Appendix E.6.1.1)
The effective impulsive weight is define in Equation E.6.1.1-2
The effective convective weight is define in Equation E.6.1.1-3
Total weight of fixed tank roof including framing, knuckles, any permanent attachments and 10% of the roof design snow load
= 2977.02 N
Total weight of tank shell and appurtenances
= 16172.57 N
8.2.2 Center of Action for Effective Lateral Forces (Refer to API 650 11th Edition, Errara, October 2011, Appendix E.6.1.2)
Height from the bottom of the tank shell to the center of action of the lateral seismic force related to the impulsive liquid force
for ringwall moment is define by Equation E.6.1.2.1-2
Height from the bottom of the tank shell to the center of action of lateral seismic force related to the convective liquid force
=
N
0.1708=
18677.59 N
m= 1.55
= 114127.8
2.156 / 3.5
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for ringwall moment is determined by Equation E.6.1.2.1-3
8.2.3 Center of Gravity of Shell
Height from the bottom of the tank shell to the roof and roof appurtenances center of gravity
= 2.01 m
Height from the bottom of the tank shell to the shell’s center of gravity
= 1.75 m
8.2.4 Overturning Moment (Refer to API 650 11th Edition, Errara, October 2011, Appendix E.6.1.5)
The seismic overturning moment at the base of the tank shell shall be the SRSS summation of the impulsive and convective
components multiplied by the respective moment arms to the center of action of the forces unless otherwise specified.
Ringwall Moment
= 26892.84 N-m
8.3 Base Shear Calculation (Refer to API 650 11th Edition, Errara, October 2011, Appendix E.6.1)
Total design base shear
= 16611.82 N
where:
Vi : Design base shear due to impulsive component from effective weight of tank and contents
= = 16303 N
Vc : Design base shear due to the convective component of the effective sloshing weight
= = 3190.4 N
Sliding Resistance Force
= 59927.37 N
where:
: The friction coefficient = 0.4
Since V < Vs
Seismic Shear does not exceed Sliding Resistance => PASS
8.4 Resistance to the design Overturning (Ringwall) Moment
8.4.1 Design Data
ta : Thickness, excluding corrosion allowance, of bottom / bottom annulus = 7.00 mm
G : Specific gravity (Shall not be less than 1.0) = 1.0
Av : Vertical Seismic accelebration coefficient = 0.067
m= 2.92
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Ge : Effective specific gravity including vertical seismic effects = G(1 – 0.4Av) = 0.9732
Fy : Minimum specified yield strength of bottom / bottom annulus = 250 MPa
Fty : Minimum specified yield strength of shell course = 250 MPa
8.4.3 Anchorage Ratio
= 3.915
where
Mrw : Ringwall Moment = 26893 N-m
wt : Tank and roof weight acting at base of shell
= = 2827.2 N/m
wrs : Roof load acting on the shell, including 10% of the specified snow load = 439.52 N/m
Av : Vertical Seismic accelebration coefficient = 0.067
wa : Force resisting uplift in annular region
= = 20222.62 N/m > = 1476.8 N/m
wint : Calculated design uplift load due to product pressure per unit circumferential length
(Produce Internal Pressure = 0) = 0 N/m
Since the anchorage ratio J > 1.54, the tank is not stable. The tank shall be mechanically anchored.
8.4.4 Shell Compression
The maximum longitudinal shell compression stress at the bottom of the shell for mechanically anchored tanks
= 0.452 < 44
Allowable seismic longitudinal shell compression stress
= 121.82 MPa < = 125 MPa
Since > => PASS
9. Compression Ring at Roof-to-Shell Joint
Minimum required Top Angle
= 1.4668 MPa
+
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Top Angle Provided 100 x 100 x 8 mm (As per Fig. F-2, Detail b)
Top Angle Cross Sectional Area Ac = 1536 mm2
Weight of Top Angle Wc = 0.840 KN
Inside radius of tank Rc = 1075 mm
Length of normal to roof R2 = 6540.56 mm
Thickness of shell plate at thickened plate (Corroded) ts = tc = 5.00 mm
Maximum width of participating shell wc =
= 43.99 mm
Thickness of roof plate (Corroded) th = 5.00 mm
Maximum width of participating roof wh =
= 54.252 mm
Participating area of shell As = wc x tc
= 219.94 mm2
Participating area of roof Ah = wh x th
= 271.26 mm2
Total Area of Roof-to-Shell Junction At = Ac+As+Ah
= 2027.2 mm2
Minimum required participating area
A = (As per F.5.1)
= 33.11 mm2
where:
D : Tank outside Diameter = 2.162 m
Pi : Design Internal Pressure = 0 kPa
DLR : Nominal weight of roof plate plus any attached structural = 5429.5 N
Fy : Minimum specified yield strength of material in the roof-to-shell junction = 250 MPa
Since At > A
2027.2 > 33.11
Therefore using Top Angle as above is satisfactory
Choose Top Angle Bar = 100 x 100 x 8 mm
10. Anchor Bolt Calculation
10.1 The Pressures base on Appendix F
Pi : Design Internal Pressure Pi = 0 kPa
Cross section area of tank A = 3.671 m2
Weight of shell, roof and any framing supported by shell or roof = 22111.7 N > P x A
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=> F.3 through F.6 are applicable
Required Compression Area at the Roof-to-Shell Junction
where :Pi : Internal Design Pressure = 0 KPa
D : Tank outside diameter = 2.162 m
DLR : Nominal weight of roof plate plus any attached structural = 5429.5 N
Fy : Minimum specified yield strength of material in the roof-to-shell junction = 250 MPa
θ : Angle of the cone element to the horizontal = 9.46 degree (Slope = 1 : 6)
Design Pressure for tank that has been constructed (As per API 650 11th Edition, Errara, October 2011, App. F.4.1)
Maximum design pressure, limited by uplift at the base of the shell (As per API 650 11th Edition, Errara, October 2011, App. F.4.2)
DLS : Nominal weight of the shell and any framing supported by the shell and roof = 14277 N
D : Tank outside diameter = 2.162 m
DLR : Nominal weight of roof plate plus any attached structural = 5429.5 N
Mw : Wind moment = 9153.6 N-m
Failure Pressure (As per API 650 11th Edition, Errara, October 2011, App. F.6)
= 3.854 KPa
The maximum design pressure for tank with a weak roof-to-shell attachment (As per API 650 11th Edition, Errara, Oct. 2011, App. F.4.3)
Pmax < 0.8 Pf
2.68 < 3.08 => PASS
10.2 Anchor Bolt Calculation (Refer to API 650 11th Edition, Errara, October 2011, Table 5-21a)
Bolt Diameter provided : d = 30 mm x 4 No.
Root Area of Bolt : A ~ π x d2/4 = 447.10 mm2
Bolt material : SA-36
Remark
Design Pressure + Wind
Uplift Load Case Net Uplift, U (N) Stress / Bolt (MPa)
-1.084
-1.769
2.833
-8.962
-8.962
Design Pressure
Test Pressure
Failure Pressure
Wind Load
Seismic Load33102.84 18.510
PASS
Allowable Anchor Bolt Stress (Mpa)
33.11 mm2
=
PASS
140
34248.57
-1938.98
PASS
PASS
PASS
PASS200
250
-16028.05 105
-3164.51
5067.20
-16028.05 140
PASS200
2.68 KPa
= 2.95 KPa
=
Design Pressure + Seismic
19.151 200
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W1 : dead load of shell minus any corrosion allowance and any dead load other than roof plate
acting on the shell minus any corrosion allowance (N) = 14276.6 N
W2 : dead load of shell minus any corrosion allowance and any dead load including roof plate
acting on the shell minus any corrosion allowance (N) = 17253.6 N
W3 : dead load of the shell using nominal thicknesses and any dead load other than roof plate
acting on the shell using nominal thicknesses (N) = 14276.6 N
Av : Vertical earthquake acceleration coefficient = 0.067
P : Internal Design Pressure = 0 KPa
Pt : Test Pressure = 0 KPa
Pf : Failure Pressure = 3.85 KPa
th : Roof Plate thickness = 6 mm
D : Nominal Tank diameter = 2.156 m
H : Tank height = 3.500 m
PWR : Wind uplift pressure on roof = 0.77 kPa
PWS : Wind pressure on shell = 0.46 kPa = 460 N/m2
= 6078.21 N-m
Mrw : Seismic moment = 26892.84 Nm
Fy : Min. Yield Strength of Bolt material = 250 MPa
Choose 4 Anchor Bolts M30, SA-36 is satisfactory for Table Uplift Load Cases above
11. Nozzle calculation (Refer to API 650 11th Edition, Errara, October 2011, Para. 5.7)
11.1 Shell Nozzle N1, N2, N3, N4 (DN50)
11.1.1 Minimum Nozzle Neck thickness
Base on table 5-6a
Minimum thickness of Nozzle Neck = 5.54 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness of Nozzle Neck including C.A = 6.54 mm
11.1.2 Choose Nozzle actual thickness = 8.74 mm
Frangibility Pressure
-16016.49 -8.956 250PASS
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11.1.3 Nozzle actual thickness is compared with the minimum thickness provided which fo pipe
material would include a 12.5% undertolerance
= 0.875 x 8.74 = 7.65 mm > tmin = 6.54 mm => PASS
11.2 Roof Nozzle N5 (DN50)
11.2.1 Minimum Nozzle Neck thickness
Base on table 5-14a & table 5-6a
Minimum thickness of Nozzle Neck = 5.54 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness of Nozzle Neck including C.A = 6.54 mm
11.2.2 Choose Nozzle actual thickness = 8.74 mm
11.2.3 Nozzle actual thickness is compared with the minimum thickness provided which fo pipe
material would include a 12.5% undertolerance
= 0.875 x 8.74 = 7.65 mm > tmin = 6.54 mm => PASS
11.3 Roof Nozzle V1 (DN80) (Used for venting)
11.3.1 Minimum Nozzle Neck thickness
Base on table 5-14a & table 5-6a
Minimum thickness of Nozzle Neck = 7.62 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness of Nozzle Neck including C.A = 8.62 mm
11.3.2 Choose Nozzle actual thickness = 11.13 mm
11.3.3 Nozzle actual thickness is compared with the minimum thickness provided which fo pipe
material would include a 12.5% undertolerance
= 0.875 x 11.13 = 9.74 mm > tmin = 8.62 mm => PASS
12. Manhole calculation (Refer to API 650 11th Edition, Errara, October 2011, Para. 5.7.5)
12.1 Shell Manhole M1 (DN600)
As per Fig. 5-7A - Shell Manhole
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As per Table 5-3a
Minimum thickness of cover plate, tc = 10 mm
Corrosion Allowance (C.A) = 1.00 mmMinimum thickness of cover plate including C.A = 11.00 mm
Choose Cover plate actual thickness = 12 mm
Minimum thickness of bolting flange, tf = 6 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum thickness of bolting flange including C.A = 7.00 mm
Choose bolting flange actual thickness = 8 mm
As per Table 5-4a
Thickness of Manhole reinforcing plate, T = 6 mm
Minimum neck thickness, tn = 6 mm
Corrosion Allowance (C.A) = 1.00 mm
Minimum neck thickness including C.A = 7.00 mm
Choose neck actual thickness = 8 mm
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev. N
As per Table 5-5a
Bolt Circle Diameter, Db = 768 mm
Cover Plate Diameter, Dc = 832 mm
As per Table 5-6a
Diameter of Reinforcing Plate, Do = 1255 mm
12.2 Roof Manhole M2 (DN500)
As per Fig. 5-16 - Roof Manholes, Section A-A and Table 5-13a as shown below
13. Welding
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev
13.1 Nozzle Welding
13.1.1 Shell Nozzle N1, N3, N4 (DN50)
As per Fig. 5-7B and Table 5-6a
Flanged Nozzles in pipe sizes NPS 2 (DN50) or smaller do not required reinforcing plates
Diameter of the hole in the shell plate, DR = 63 mm
Size of Fillet Weld, A = 6 mm
13.1.2 Shell Nozzle N2 (DN50)
As per Fig. 5-7B and Table 5-6a
Flanged Nozzles in pipe sizes NPS 2 (DN50) or smaller
do not required reinforcing plates
Diameter of the hole in the shell plate, DR = 63 mm
Size of Fillet Weld, A = 6 mm
13.1.3 Roof Nozzle N5 (DN50)
As per Fig. 5-19 - Flanged Roof Nozzles
where :
DP : Diameter of Hole in Roof Plate (Table 5-14a)
DP = 65 mm
13.1.4 Roof Nozzle V1 (DN80) - Used for venting
As per Fig. 5-19 - Flanged Roof Nozzles
where :
DP : Diameter of Reinforcing Plate (Table 5-14a)
DP = 92 mm
DR : Outside Diameter of Reinforcing Plate
DR
=225 mm
HR : Minimum Height of Nozzle
HR = 150 mm
13.2 Manhole Welding
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev. N
13.2.1 Shell Manhole M1 (DN600)
Note 5. The size of the weld shall equal the thickness of the thinner
member joined = 8 mm
where :
tn = 8 mm
tf = 8 mm
where :
Size of fillet weld A = 6 mm
T or t = 6 mm
13.2.2 Roof Manhole M2 (DN500)
Detail of Roof Manhole M2 welding as per Fig. 5-16 - Roof Manholes, Section A-A as shown below
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev
14. Lifting Lug Calculation
Equipment weight We = 2254.0 kg
Lifting Lug material A-36
14.1 Check for β = 90 degrees
Angle β = 90.0 degree
Considered a load factor of 2.0 applied to the structure gravity loads
Design Load P = 2x9.81xWe = 44223.48 N
Force
Fz = 0.5 P = 22112 N
Fx = Fz / tg β = 0 N
Max tensile force in Wire Rope
Ps = Fz / sin β = 22112 N
Lifting lug configuration
where :
SWL = Safe working load
Rh = Hole radius
R = Main plate radius
T = Main plate thickness
h = Base width
b = Distance from edge of taper to center of hole
c = Distance from base of plate to center of hole
a = Taper angle
D = Shackle pin diameter
Fy = Yield Strength of lifting lug material
The dimension T should equal 60 - 85% of shackle jaw width.
The pin hole diameter should be 3 mm greater than the selected shackle pin size
The main plate radius is approximately R = 3 R h
Choose Shackle
Shackle load Ps = 22111.74 N = 2.254 tonne
Choose Shackle with SWL = 3.2 tonne
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev
As per Table shown above :
Shackle jaw width W = 27 mm
Shackle pin size D = 19 mm
Choose Lug Configuration
Rh = 12 mm
R = 45 mm
T = 20 mm
h = 200 mm
b = 58 mm
c = 125 mm
a = 41 degrees
Fy = 250 MPa
Stress in Lifting Lug
Bearing Stress
Bearing = 58.19 MPa Bearing = Ps/(T x D)
Allowable = 225 MPa Allowable = 0.9 x Fy
Safety Factor = 3.87 => PASS
Shear Stress
Shear = 16.75 MPa Shear = Ps/(2(R-Rh)*T)
Allowable = 100 MPa Allowable = 0.4 x Fy
Safety Factor = 5.97 => PASS
Tensile Stress
From Section D3.2 of AISC, the distance used in calculations, across the hole, is the minimum of 4 times the plate
thickness at the pinhole or 0.8 times the hole diameter.
Effective width = 19.2 mm
Plate thickness = 20 mm
Tensile = 57.58 MPa Tensile = Ps/(Effective width*plate thickness)
Allowable = 112.5 MPa Allowable = 0.45 Fy (AISC Section D3.2)
Safety Factor = 1.95 => PASS
Bending Stress
Section modulus Z = 133333.3 mm3 Z = h
2x T / 6
Area of lug base A = 4000 mm2 A = h x T
Bending = 20.73 MPa Bending = (Fz*c / Z) + (Fx / A)
Allowable = 150 MPa Allowable =0.6 F
y
Safety Factor = 7.24 => PASS
Stress in Weld Joint
Weld type : T-Butt weld, Full Penetration
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Re
Critial weld length K = 20 mm (Assumed equal to the thickness of lug)
Section modulus of weld Zw = 266666.667 mm Zw = h x K / 3
Area of weld Aw = 8000 mm Aw = 2 x K x h
Applied by force Fz
Bending S1 = 10.4 MPa Bending S1 = Fz*c/Zw
Shear S2 = 2.8 MPa Shear S2 = Fz/Aw
Combined = 10.73 MPa Combined = (S1 + S2 ).
Allowable = 150 MPa Allowable = 0.6 Fy
Safety Factor = 13.98 => PASS
Applied by force Fx
Tensile S3 = 0.00 MPa Tensile S3 = Fx/Aw
Allowable = 150 MPa Allowable = 0.6 Fy
=> PASS
14.2 Check for β = 85 degrees (Considering Tolerance 5 degrees)
Angle β = 85.0 degree
Considered a load factor of 2.0 applied to the structure gravity loads
Design Load P = 2x9.81xWe = 44223.48 N
Force
Fz = 0.5 P = 22112 N
Fx = Fz / tg β = 1935 N
Max tensile force in Wire Rope
Ps = Fz / sin β = 22196 N
Shackle load Ps = 22196 N = 2.26 tonne
Stress in Lifting Lug
Bearing Stress
Bearing = 58.41 MPa Bearing = Ps/(T x D)
Allowable = 225 MPa Allowable = 0.9 x Fy
Safety Factor = 3.85 => PASS
Shear Stress
Shear = 16.82 MPa Shear = Ps/(2(R-Rh)*T)
Allowable = 100 MPa Allowable = 0.4 x Fy
Safety Factor = 5.95 => PASS
Tensile Stress
From Section D3.2 of AISC, the distance used in calculations, across the hole, is the minimum of 4 times the plate
thickness at the pinhole or 0.8 times the hole diameter.
Effective width = 19.2 mm
Plate thickness = 20 mm
Tensile = 57.80 MPa Tensile = Ps/(Effective width*plate thickness)
Allowable = 112.5 MPa Allowable = 0.45 Fy (AISC Section D3.2)
Safety Factor = 1.95 => PASS
Bending Stress
Section modulus Z = 133333.3 mm3
Z = h2
x T / 6
Area of lug base A = 4000 mm2 A = h x T
Bending = 21.21 MPa Bending = (Fz*c / Z) + (Fx / A)
Allowable = 150 MPa Allowable = 0.6 Fy
Safety Factor = 7.07 => PASS
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Stress in Weld Joint
Weld type : T-Butt weld, Full Penetration
Critial weld length K = 20 mm (Assumed equal to the thickness of lug)
Section modulus of weld Zw = 266666.667 mm Zw = h x K / 3
Area of weld Aw = 8000 mm Aw = 2 x K x h
Applied by force Fz
Bending S1 = 10.4 MPa Bending S1 = Fz*c/Zw
Shear S2 = 2.8 MPa Shear S2 = Fz/Aw
Combined = 10.73 MPa Combined = (S1 + S2 ).
Allowable = 150 MPa Allowable = 0.6 Fy
Safety Factor = 13.98 => PASS
Applied by force Fx
Tensile S3 = 0.24 MPa Tensile S3 = Fx/Aw
Allowable = 150 MPa Allowable = 0.6 Fy
Safety Factor = 620.31 => PASS
Choose Lug Configuration as shown above is satisfactory
15. Conclusion
Shell thickness :
First Shell course
Thickness required: 5.00 mm
Thickness actual: 6.00 mm
Second Shell course
Thickness required: 5.00 mm
Thickness actual: 6.00 mm
Bottom thickness :
Thickness required: 7.00 mm
Thickness actual: 8.00 mm
Annular Bottom Plate: not required
Intermediate Wind Girder : not required
Self-Supporting Cone Roof thickness :
Thickness required: 6.00 mm
Thickness actual: 6.00 mm
Top Angle size : 100 x 100 x 8 mm
Anchor Bolt : 4 Bolts - M30
Nozzle thickness:
Shell Nozzle N1, N2, N3, N4 (DN50)
Thickness required: 6.54 mmThickness actual: 8.74 mm (SCH 160)
Roof Nozzle N5 (DN50)
Thickness required: 6.54 mm
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Project: NOEV LUBE OIL BLENDING PLANT Job No.: AL-2499 Rev. N
Thickness actual: 8.74 mm (SCH 160)
Roof Nozzle V1 (DN80) (Used for venting)
Thickness required: 8.62 mm
Thickness actual: 11.13 mm (SCH 160)
Neck Manhole thickness :
Shell Manhole (DN600)
Thickness required: 7.00 mm
Thickness actual: 8.00 mm
Roof Manhole (DN500)
Thickness required: 6.00 mm
Thickness actual: 6.00 mm