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POLIDUCTO PASCUALES - CUENCAÁREA: TERMINAL LA TRONCALTÍTULO:
MEMORIA DE CALCULO - TANQUE SUMIDERO -TLT-TQ-3265REPRESENTANTE TÉCNICO: Nº PROVEEDOR:
ALEJANDRO ZABALA -Nº DE CONTRATO: Nº ORDEN DE COMPRA: Nº REQUISICIÓN DE MATERIAL:
2013299 EPP-2013299-POL-M-0007 PEQ001-03-OEP-0000-RM-M540-0001-0
ÍNDICE DE REVISIONES
REV DESCRIPCIÓN Y/O HOJAS REVISADAS
A EMISIÓN ORIGINAL. PARA REVISION.
REV. A REV. B REV. C REV. REV. REV. REV. REV. REV.FECHA 2/07/14
PROYECTO ENATIN
EJECUCIÓN A.ZABALA
VERIFICACIÓN A.ZABALA
APROBACIÓN F.ROSSELESTE DOCUMENTO NO PUEDE SER USADO, COPIADO O CEDIDO FUERA DE LOS TÉRMINOS CONTRACTUALES.
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INDICE
1 INPUT DATA 3
2 SETTINGS SUMMARY 4
3 NOZZLES SUMMARY 5
4 PRESSURE SUMMARY 6
5 RADIOGRAPHY SUMMARY 7
6 THICKNESS SUMMARY 9
7 WEIGHT SUMMARY 10
8 HYDROSTATIC TEST 11
9 VOLUME DETERMINATION 12
10 CYLINDER Nº1 DESIGN 13
11 CYLINDER Nº2 DESIGN 15
12 CYLINDER Nº3 DESIGN 17
13 TORISPHERICAL HEAD Nº1 DESIGN 19
14 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº1 DESIGN 20
15 TORISPHERICAL HEAD Nº2 DESIGN 23
16 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº2 DESIGN 24
17 NOZZLE DESIGN: NPS 2 27
18 NOZZLE DESIGN: NPS 4 34
19 NOZZLE DESIGN: NPS 32 49
20 NOZZLE DESIGN: NPS 3 60
21 SUPPORT DESIGN 68
22 LIFTING LUG DESIGN 76
23 SOFTWARE FEATURES 80
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1 INPUT DATA
DIMENSIONS Nominal Capacity 6000 gal
Tank Diameter (Inside), 2200 mm
Tank Length S-S, 5428 mm
DESIGN CONDITIONS
Minimum Design Temperature 0 ºC
Design Temperature 48.8 ºC
Design Internal Pressure 344.74 kPa
Design external Pressure Atm
Operating Pressure Atmospheric
Operating Temperature 24.4 ºC
Corrosion Allowance 1.6 mm
Radiography 100%
Product Stored Diesel / Gasoline
Product Specified Gravity 0.84 / 0.72
Pre-heat Per code
PWHT Per code
Hidrostatic Test Per code
Supports Saddles
DESIGN STANDARD
Governing Standard ASME Section VIII Div 1
Edition 2013SEISMIC DESIGN FACTOR
Code CPE INEN 5: 2001
Importance Factor 1
Seismic Site Class D
Seismic Zone (NEC-11) III
Sp (g) 30% g
Ss (g) 75% g
Site coefficient, Fa 1.2
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2 SETTINGS SUMMARY
Units: SIDatum Line Location: 0.00 mm from left seam
Design
ASME Section VIII Division 1, 2013 Edition Metric
Design or Rating: Get Thickness from Pressure
Minimum thickness: 1.5 mm per UG-16(b)
Design for cold shut down only: No
Design for lethal service (full radiography required): NoDesign nozzles for: Design P, find nozzle MAWP and MAP
Corrosion weight loss: 100% of theoretical loss
UG-23 Stress Increase: 1.20
Skirt/legs stress increase: 1.0
Minimum nozzle projection: 50.01 mm
Juncture calculations for α > 30 only: Yes
Preheat P-No 1 Materials > 1.25" and
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UG-22 Loadings
UG-22(a) Internal or External Design Pressure : Yes
UG-22(b) Weight of the vessel and normal contents under operating or test conditions: Yes
UG-22(c) Superimposed static reactions from weight of attached equipment (external loads): Yes
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: Yes
UG-22(f) Wind reactions: No
UG-22(f) Seismic reactions: Yes
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
3 NOZZLES SUMMARY
Nozzle Schedule
N o z z l e
m a r k
Service Size Materials
I m p a c t
T e s t e d
N o r m a l i z
e d
F i n e G r a
i nFlange Blind
A VACCUM NPS 2 Sch 160DN 50
Nozzle SA-106 BSmls. Pipe
No No No NPS 2Class 150
WN A105
No
B INLET NPS 4 Sch 80(XS) DN 100
Nozzle SA-106 BSmls. Pipe
No No No NPS 4Class 150
WN A105
No
Pad SA-36 No No No C MANWAY 813 OD x 12 Nozzle SA-36 No No No NPS 32
Class 150
WN A105
NPS 32
Class 150
A105
Pad SA-36 No No No
D LEVELTRANSMITER
NPS 2 Sch 160
DN 50 Nozzle SA-106 B
Smls. Pipe No No No NPS 2
Class 150
WN A105
No
E SPARE NPS 3 Sch 80(XS) DN 80
Nozzle SA-106 BSmls. Pipe
No No No NPS 3Class 150
WN A105
NPS 3
Class 150
A105
F VENT NPS 3 Sch 80(XS) DN 80
Nozzle SA-106 BSmls. Pipe
No No No NPS 3Class 150
WN A105
No
G SPARE NPS 2 Sch 160DN 50
Nozzle SA-106 BSmls. Pipe
No No No NPS 2Class 150
WN A105
NPS 2
Class 150
A105
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Nozzle mark
OD (mm)
tn (mm)
Req tn (mm)
A1? A2? Shell ReinforcementPad
Corr (mm)
Aa /Ar (%)
Nom t (mm)
Design t (mm)
User t (mm)
Width (mm)
tpad (mm)
A 60.33 8.74 5.74 Yes Yes 8 N/A N/A N/A 1.6 Exempt B 114.3 8.56 7.85 Yes Yes 8 8 50.8 8 1.6 132.9 C 813 12 6.57 Yes Yes 8 5.85 150 8 1.6 100.0 D 60.33 8.74 5.74 Yes Yes 8 N/A N/A N/A 1.6 Exempt E 88.9 7.62 7.32 Yes Yes 8 N/A N/A N/A 1.6 Exempt F 88.9 7.62 7.32 Yes Yes 8 N/A N/A N/A 1.6 Exempt G 60.33 8.74 5.74 Yes Yes 8 N/A N/A N/A 1.6 Exempt
tn: Nozzle thickness
Req tn: Nozzle thickness required per UG-45/UG-16
Nom t: Vessel wall thickness
Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37
User t: Local vessel wall thickness (near opening)
Aa: Area available per UG-37, governing condition
Ar : Area required per UG-37, governing condition
Corr: Corrosion allowance on nozzle wall
4 PRESSURE SUMMARY
Identifier P Design ( kPa)
T Design ( °C)
MAWP ( kPa)
MAP ( kPa)
MDMT ( °C)
MDMT Exemption
Impact Tested
F&D Head #1 344.74 48.9 347.55 470.06 -31.5 Note 1 No Straight Flange on F&D Head #1 344.74 48.9 845.07 1,030.74 -48 Note 2 No Cylinder #1 344.74 48.9 639.76 825.49 -33.25 Note 3 No Cylinder #2 344.74 48.9 639.76 825.49 -34.5 Note 4 No Cylinder #3 344.74 48.9 639.76 825.49 -33.25 Note 3 No Straight Flange on F&D Head #2 344.74 48.9 845.07 1,030.74 -48 Note 2 No F&D Head #2 344.74 48.9 347.55 470.06 -31.5 Note 1 No Saddle #1 344.74 48.9 347.55 N/A N/A N/A N/A VACCUM (A) 344.74 48.9 657.93 825.48 -48 Note 5 No INLET (B) 344.74 48.9 657.93 825.48 -36.8 Nozzle Note 6 No
Pad Note 7 No MANWAY (C) 344.74 48.9 510.79 604.61 -36.8 Nozzle Note 8 No
Pad Note 7 No LEVEL TRANSMITER (D) 344.74 48.9 657.93 825.48 -48 Note 5 No SPARE (E) 344.74 48.9 509.68 825.48 -48 Note 5 No VENT (F) 344.74 48.9 509.68 825.48 -48 Note 5 No SPARE (G) 344.74 48.9 657.93 825.48 -48 Note 5 No
Chamber design MDMT is 0 °C
Chamber rated MDMT is -31.5 °C @ 347.55 kPa
Chamber MAWP hot & corroded is 347.55 kPa @ 48.9 °C
Chamber MAP cold & new is 470.06 kPa @ 28 °C
This pressure chamber is not designed for external pressure.
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Notes for MDMT Rating:
Note
# Exemption Details
1. Material impact test exemption temperature from Fig UCS-66M Curve A = -8 °C
Fig UCS-66.1M MDMT reduction = 23.5 °C, (coincident ratio = 0.5949)
UCS-66 governing thickness
= 7.3 mm
2. Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 44.5 °C, (coincident ratio = 0.4239)Rated MDMT of -51.25°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness
= 10 mm
3. Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 26.5 °C, (coincident ratio = 0.5564)
UCS-66 governing thickness
= 10 mm
4. Material impact test exemption temperature from Fig UCS-66M Curve A = -
8 °CFig UCS-66.1M MDMT reduction = 26.5 °C, (coincident ratio = 0.5564)
UCS-66 governing thickness
= 8 mm
5. Flange rating governs:Flange rated MDMT = -105 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident
ratio = 0.1777
6. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio =0.1456).
7. Pad impact test exemption temperature from Fig UCS-66M Curve A = -8 °CFig UCS-66.1M MDMT reduction = 28.8 °C, (coincident ratio = 0.5288)
UCS-66 governing thickness
= 8 mm. 8. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio =
0.117).
Design notes are available on the Settings Summary page.
5 RADIOGRAPHY SUMMARY
Radiography for Chamber bounded by F&D Head #2 and F&D Head #1 Component Longitudinal Seam Left Circumferential
Seam Right Circumferential
Seam Mark
Category
(Fig
UW-3)
Radiography
/ Joint Type Category
(Fig
UW-3)
Radiography
/ Joint Type Category
(Fig
UW-3)
Radiography
/ Joint Type
F&D Head #1 A Full UW-
11(a) / Type 1
N/A N/A B Full UW-11(a)
/ Type 1
RT1
Cylinder #1 A Full UW-11(a) / Type 1
B Full UW-11(a) / Type 1
B Full UW-11(a)/ Type 1
RT1
Cylinder #2 A Full UW-11(a) / Type 1
B Full UW-11(a) / Type 1
B Full UW-11(a)/ Type 1
RT1
Cylinder #3 A Full UW-11(a) / Type 1
B Full UW-11(a) / Type 1
B Full UW-11(a)/ Type 1
RT1
F&D Head #2 A Full UW-11(a) / Type 1
B Full UW-11(a) / Type 1
N/A N/A RT1
Nozzle Longitudinal Seam Nozzle to VesselCircumferential Seam
Nozzle free end
Circumferential Seam VACCUM (A) N/A Seamless No
RT D N/A / Type 7 C UW-11(a)(4)
exempt / Type
1
N/A
INLET (B) N/A Seamless NoRT
D N/A / Type 7 C UW-11(a)(4)exempt / Type
1
N/A
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MANWAY (C) A User Defined(E = 1.00)
D N/A / Type 7 C Full UW-11(a)/ Type 1
RT1
SPARE (E) N/A Seamless NoRT
D N/A / Type 7 C UW-11(a)(4)exempt / Type
1
N/A
VENT (F) N/A Seamless NoRT
D N/A / Type 7 C UW-11(a)(4)exempt / Type
1
N/A
SPARE (G) N/A Seamless NoRT
D N/A / Type 7 C UW-11(a)(4)exempt / Type
1
N/A
LEVEL
TRANSMITER
(D)
N/A Seamless NoRT
D N/A / Type 7 C UW-11(a)(4)exempt / Type
1
N/A
Nozzle Flange Longitudinal Seam Flange Face Nozzle to FlangeCircumferential Seam
ASMEB16.5/16.47 flange
attached to
VACCUM (A)
N/A Seamless NoRT N/A N/A /Gasketed C UW-11(a)(4)exempt / Type1
N/A
ASME
B16.5/16.47 flange
attached to INLET
(B)
N/A Seamless NoRT
N/A N/A /Gasketed
C UW-11(a)(4)exempt / Type
1
N/A
ASME
B16.5/16.47 flange
attached to
MANWAY (C)
N/A Seamless NoRT
N/A N/A /Gasketed
C Full UW-11(a)/ Type 1
RT1
ASME
B16.5/16.47 flangeattached to SPARE
(E)
N/A Seamless No
RT
N/A N/A /
Gasketed
C UW-11(a)(4)
exempt / Type1
N/A
ASME
B16.5/16.47 flangeattached to VENT
(F)
N/A Seamless NoRT
N/A N/A /Gasketed
C UW-11(a)(4)exempt / Type1
N/A
ASME
B16.5/16.47 flange
attached to SPARE
(G)
N/A Seamless NoRT
N/A N/A /Gasketed
C UW-11(a)(4)exempt / Type
1
N/A
ASME
B16.5/16.47 flange
attached toLEVEL
TRANSMITER
(D)
N/A Seamless NoRT
N/A N/A /Gasketed
C UW-11(a)(4)exempt / Type
1
N/A
Chamber bounded by F&D Head #2 and F&D Head #1 - UG-116(e) Radiography: RT1
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6 THICKNESS SUMMARY
Component Identifier Material Diameter (mm) Length (mm) Nominalt (mm)
Designt (mm)
TotalCorrosion (mm)
Joint E Load
F&D Head #1 SA-36 2,200 ID 404.36 7.3* 7.26 1.6 1.00 Internal Straight Flange on F&D
Head #1 SA-36 2,200 ID 30 10 5.14 1.6 1.00 Internal
Cylinder #1 SA-36 2,200 ID 2,420 8 5.14 1.6 1.00 Internal Cylinder #2 SA-36 2,200 ID 1,800 8 5.14 1.6 1.00 Internal Cylinder #3 SA-36 2,200 ID 1,242 8 5.14 1.6 1.00 Internal Straight Flange on F&D
Head #2 SA-36 2,200 ID 30 10 5.14 1.6 1.00 Internal
F&D Head #2 SA-36 2,200 ID 404.36 7.3* 7.26 1.6 1.00 Internal
Nominal t: Vessel wall nominal thickness
Design t: Required vessel thickness due to governing loading + corrosion
Joint E: Longitudinal seam joint efficiency
* Head minimum thickness after forming
Load
internal: Circumferential stress due to internal pressure governs
external: External pressure governsWind: Combined longitudinal stress of pressure + weight + wind governs
Seismic: Combined longitudinal stress of pressure + weight + seismic governs
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7 WEIGHT SUMMARY
C o m p o n e n t
Weight ( kg) Contributed by Vessel Elements
Surface
Area
m2
M e t a l
N e w *
M e t a l
C o r r o d e d *
I n s u l a t i o n
I n s u l a t i o n
S u p p o r t s
L i n i n g
P i p i n g
+ L i q u i d
Operating Liquid Test Liquid New Corroded New Corroded
F&D Head
#1 280.9 220.7 0 0 0 0 872.5 878.9 1,038.7 1,046.4 5.03
Cylinder
#1 1,018.6 815.4 0 0 0 0 7,763.9 7,786.8 9,242.7 9,270 16.32
Cylinder
#2 781.3 625.5 0 0 0 0 5,743.6 5,760.4 6,837.6 6,857.6 12.51
Cylinder
#3 539.9 432.2 0 0 0 0 3,962.5 3,974.1 4,717.3 4,731 8.65 F&D Head
#2 280.9 220.7 0 0 0 0 872.5 878.9 1,038.7 1,046.4 5.03
Saddle #1 571.5 571.5 0 0 0 0 0 0 0 0 11.9 TOTAL: 3,473 2,886 0 0 0 0 19,215 19,279.1 22,875 22,951.3 59.44
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component Weight ( kg) Contributed by Attachments SurfaceArea
m2
Body Flanges Nozzles &Flanges
Packed
Beds Trays Tray
Supports Rings
&Clips
Vertical
Loads New Corroded New Corroded
F&D Head
#1 0 0 0 0 0 0 0 0 0 0
Cylinder #1 0 0 920.3 913.6 0 0 0 0 0 2.5 Cylinder #2 0 0 26.5 25.6 0 0 0 0 0 0.35 Cylinder #3 0 0 0 0 0 0 0 0 0 0.07 F&D Head
#2 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 946.8 939.2 0 0 0 0 0 2.92
Vessel operating weight, Corroded: 23,114 kg
Vessel operating weight, New: 23,644 kg
Vessel empty weight, Corroded: 3,834 kgVessel empty weight, New: 4,429 kg
Vessel test weight, New: 27,304 kg
Vessel test weight, Corroded: 26,786 kg
Vessel surface area: 62.37 m2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 4,429 kg
Center of Gravity: 2,504.87 mm
Vessel Capacity
Vessel Capacity** (New): 22,842 liters
Vessel Capacity** (Corroded): 22,918 liters
**The vessel capacity does not include volume of nozzle, piping or other attachments.
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8 HYDROSTATIC TEST
Shop test pressure determination for Chamber bounded by F&D Head #2 and F&D Head #1
based on MAWP per UG-99(b)
Shop hydrostatic test gauge pressure is 451.81 kPa at 28 °C (the chamber MAWP = 347.55 kPa)
The shop test is performed with the vessel in the horizontal position.
Identifier Local test
pressure
kPa
Test liquid
static head
kPa
UG-99(b)
stress
ratio
UG-99(b)
pressure
factorF&D Head #1 (1) 475.88 24.06 1 1.30 Straight Flange on F&D Head #1 475.88 24.06 1 1.30 Cylinder #1 475.88 24.06 1 1.30 Cylinder #2 475.88 24.06 1 1.30 Cylinder #3 475.88 24.06 1 1.30 Straight Flange on F&D Head #2 475.88 24.06 1 1.30 F&D Head #2 475.88 24.06 1 1.30 INLET (B) 454.24 2.43 1 1.30 LEVEL TRANSMITER (D) 454.24 2.43 1 1.30 MANWAY (C) 454.24 2.43 1 1.30 SPARE (E) 454.24 2.43 1 1.30 SPARE (G) 454.24 2.43 1 1.30 VACCUM (A) 454.24 2.43 1 1.30 VENT (F) 454.24 2.43 1 1.30
Notes:
(1) F&D Head #1 limits the UG-99(b) stress ratio.
(2) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the
top-most flange.
The field test condition has not been investigated for the Chamber bounded by F&D Head #2 and
F&D Head #1.
The test temperature of 28 °C is warmer than the minimum recommended temperature of -14.5 °C so
the brittle fracture provision of UG-99(h) has been met.
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9 VOLUME DETERMINATION
c = Di /2 – a = 2.2/2 – 0.15
c = 0.95 m
•
Depth of headℎ = ( + )( ) h= 2.1-((0.15+0.95-2.1)(0.15-0.95-2.1))1/2
h= 0.397 m
• Volume at Torispherical head
( )( )
−
−+−++−= −
a R
h Rcah RaRcahRV
h
12222sin3222
3
π
= 3 �2 ∗ 0.397 ∗ 2.12 (2 ∗ 0.152 + 0.952 + 2 ∗ 0.15 ∗ 2.1)(2.1 0.397) + 3 ∗ 0.152 ∗ 0.95 ∗ sin−1 2.1
0.397
2.1 0.15
V h = 0.9255 m3
• Volume at head Straigth flange
= 24
V SF =(π/4)*(2.22*0.03)
V SF =0.114 m3
• Volume at Shell
= 2
4 ∙ / = 3.1416 ∗ 2.2
24
∙ 5.428
V c = 20.634 m3
• Total Volume of Vessel
V t = V c + 2 V h+2V SF =20.634 +2*0.9255+2*0.114
V t = 22.713 m3
V t = 6000 gal
Dimensions
Internal Diameter, Di: 2.200 m
Shell length, Ls/s: 5.428 m
Crown Radius, R: 2.100 m
Knuckle Radius, a: 0.150 m
Straigth Flange, SF: 0.03 m
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10 CYLINDER Nº1 DESIGN
Component: Cylinder
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 26.5 °C, (coincident ratio = 0.5564)
UCS-66 governing thickness = 10 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 20.23 kPa (SG = 0.84, Hs = 2,457.6 mm,Operating head)
Pth = 24.07 kPa (SG = 1, Hs = 2,456 mm, Horizontal test head)Corrosion allowance Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0 °C No impact test performed
Rated MDMT = -33.25 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1
Left circumferential joint - Full UW-11(a) Type 1
Right circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 1,018.6 kg corr = 815.4 kg
Capacity New = 9,199.21 liters corr = 9,226 liters
ID = 2,200 mm
Length Lc = 2,420 mm
t = 8 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 364.97*1,101.6 / (114,000*1.00 - 0.60*364.97) + 1.6
= 5.14 mm
Maximum allowable working pressure, (at 48.9 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps
= 114,000*1.00*6.4 / (1,101.6 + 0.60*6.4) - 20.23
= 639.76 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*8 / (1,100 + 0.60*8)
= 825.49 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f )*(1 - R f / R o)
= (50*8 / 1,104)*(1 - 1,104 / infinity)
= 0.3623%
The extreme fiber elongation does not exceed 5%.
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Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScHC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScHN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScCN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScCC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPaS = 114 / 1.00 = 114 MPa
ScVC = min(B, S) = 71.8 MPa
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Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScHC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScHN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScCN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScCC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScVC = min(B, S) = 71.8 MPa
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12 CYLINDER Nº3 DESIGN
Component: Cylinder
Material specification: SA-36 (II-D Metric p. 10, ln. 21)Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 26.5 °C, (coincident ratio = 0.5564)
UCS-66 governing thickness = 10 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:Ps = 20.23 kPa (SG = 0.84, Hs = 2,457.6 mm,Operating head)
Pth = 24.07 kPa (SG = 1, Hs = 2,456 mm, Horizontal test head)
Corrosion allowance Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0 °C No impact test performedRated MDMT = -33.25 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1
Left circumferential joint - Full UW-11(a) Type 1
Right circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 539.9 kg corr = 432.2 kg
Capacity New = 4,721.25 liters corr = 4,734.99 liters
ID = 2,200 mm
Length Lc = 1,212 mmt = 8 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion= 364.97*1,101.6 / (114,000*1.00 - 0.60*364.97) + 1.6
= 5.14 mm
Maximum allowable working pressure, (at 48.9 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps
= 114,000*1.00*6.4 / (1,101.6 + 0.60*6.4) - 20.23
= 639.76 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*8 / (1,100 + 0.60*8)
= 825.49 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f )*(1 - R f / R o)
= (50*8 / 1,104)*(1 - 1,104 / infinity)
= 0.3623%
The extreme fiber elongation does not exceed 5%.
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Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScHC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScHN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 8)
= 0.000903
B = 81.49 MPa
S = 114 / 1.00 = 114 MPa
ScCN = min(B, S) = 81.49 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScCC = min(B, S) = 71.8 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,108 / 6.4)
= 0.000722
B = 71.8 MPa
S = 114 / 1.00 = 114 MPa
ScVC = min(B, S) = 71.8 MPa
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13 TORISPHERICAL HEAD Nº1 DESIGN
Component: F&D HeadMaterial Specification: SA-36 (II-D Metric p.10, ln. 21)
Fig UCS-66.1M MDMT reduction = 23.5 °C, (coincident ratio = 0.5949)
UCS-66 governing thickness = 7.3 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps= 20.23 kPa (SG=0.84, Hs=2457.6 mm Operating head)
Pth= 24.07 kPa (SG=1, Hs=2456 mm Horizontal test head)
Corrosion allowance: Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0°C No impact test performed
Rated MDMT = -31.5°C Material is not normalized
Material is not produced to fine grain
practice
PWHT is not performed
Do not Optimize MDMT / Find MAWP
Radiography:Category A joints - Seamless No RT
Head to shell seam - Full UW-11(a) Type 1
Estimated weight*: new = 280.9 kg corr = 220.7 kgCapacity*: new = 1039.6 liters corr = 1047.2 liters
* includes straight flange
Inner diameter = 2200 mm
Crown radius L = 2100 mm
Knuckle radius r = 150 mm
Minimum head thickness = 7.3 mm
Straight flange length Lsf = 30 mm
Nominal straight flange thickness tsf = 10 mm
Results Summary
The governing condition is internal pressure.
Minimum thickness per UG-16 = 1.5 mm + 1.6 mm = 3.1 mm
Design thickness due to internal pressure (t) = 7.26 mm
Maximum allowable working pressure (MAWP) = 347.55 kPa
Maximum allowable pressure (MAP) = 470.06 kPa
M (Corroded)= 1/4*[3 + (L / r)1/2]
M= 1/4*[3 + (2,101.6 / 151.6)1/2]
= 1.680819
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M (New)= 1/4*[3 + (L / r)1/2]
M= 1/4*[3 + (2,100 / 150)
1/2
]= 1.684514
Design thickness for internal pressure, (Corroded at 48.9 °C) Appendix 1-4(d)
t = P*L*M / (2*S*E - 0.2*P) + Corrosion
= 364.97*2,101.6*1.6808 / (2*114,000*1 - 0.2*364.97) + 1.6
= 7.26 mm
The head internal pressure design thickness is 7.26 mm.
Maximum allowable working pressure, (Corroded at 48.9 °C) Appendix 1-4(d)
P = 2*S*E*t / (L*M + 0.2*t) - Ps
= 2*114,000*1*5.7 / (2,101.6*1.6808 + 0.2*5.7) - 20.23
= 347.55 kPa
The maximum allowable working pressure (MAWP) is 347.6 kPa.
Maximum allowable pressure, (New at 28 °C) Appendix 1-4(d)
P = 2*S*E*t / (L*M + 0.2*t) - Ps
= 2*114,000*1*7.3 / (2,100*1.6854 + 0.2*7.3) - 0
= 470.06 kPa
The maximum allowable pressure (MAP) is 470.06 kPa.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / R f )*(1 - R f / R o)
= (75*10 / 155)*(1 - 155 / infinity)
= 4.8387%
The extreme fiber elongation does not exceed 5%.
14 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº1 DESIGN
Component: Straight Flange
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 44.5 °C, (coincident ratio = 0.4239)
Rated MDMT of -51.25°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 10 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
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Static liquid head:
Ps = 20.23 kPa (SG = 0.84, Hs = 2,457.6 mm,Operating head)Pth = 24.07 kPa (SG = 1, Hs = 2,456 mm, Horizontal test head)
Corrosion allowance Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0 °C No impact test performed
Rated MDMT = -48 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Seamless No RT
Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 16.3 kg corr = 13.7 kg
Capacity New = 114.04 liters corr = 114.37 liters
ID = 2,200 mm
Length Lc = 30 mm
t = 10 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
T = P*R / (S*E - 0.60*P) + Corrosion
= 364.97*1,101.6 / (114,000*1.00 - 0.60*364.97) + 1.6
= 5.14 mm
Maximum allowable working pressure, (at 48.9 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps
= 114,000*1.00*8.4 / (1,101.6 + 0.60*8.4) - 20.23
= 845.07 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,100 + 0.60*10)
= 1,030.74 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f )*(1 - R f / R o)
= (50*10 / 1,105)*(1 - 1,105 / infinity)= 0.4525%
The extreme fiber elongation does not exceed 5%.
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2
Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPa
S = 114 / 1.00 = 114 MPa
ScHC = min(B, S) = 82.99 MPa
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Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (R o / t)= 0.125 / (1,110 / 10)
= 0.001126
B = 87.67 MPa
S = 114 / 1.00 = 114 MPa
ScHN = min(B, S) = 87.67 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 10)
= 0.001126
B = 87.67 MPa
S = 114 / 1.00 = 114 MPa
ScCN = min(B, S) = 87.67 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2
Metric)
A = 0.125 / (R o / t)= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPa
S = 114 / 1.00 = 114 MPa
ScCC = min(B, S) = 82.99 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2
Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPa
S = 114 / 1.00 = 114 MPa
ScVC = min(B, S) = 82.99 MPa
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15 TORISPHERICAL HEAD Nº2 DESIGN
Component: F&D HeadMaterial Specification: SA-36 (II-D Metric p.10, ln. 21)
Material impact test exemption temperature from Fig UCS-66M Curve A = -8 °C
Fig UCS-66.1M MDMT reduction = 23.5 °C, (coincident ratio = 0.5949)
UCS-66 governing thickness = 7.3 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps= 20.23 kPa (SG=0.84, Hs=2457.6 mm Operating head)
Pth= 24.07 kPa (SG=1, Hs=2456 mm Horizontal test head)
Corrosion allowance: Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0°C No impact test performed
Rated MDMT = -31.5°C Material is not normalized
Material is not produced to fine grain practice
PWHT is not performed
Do not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RT
Head to shell seam - Full UW-11(a) Type 1Estimated weight*: new = 280.9 kg corr = 220.7 kg
Capacity*: new = 1,039.6 liters corr = 1,047.2 liters
* includes straight flange
Inner diameter = 2200 mm
Crown radius L = 2100 mm
Knuckle radius r = 150 mm
Minimum head thickness = 7.3 mm
Straight flange length Lsf = 30 mm
Nominal straight flange thickness tsf = 10 mm
Results SummaryThe governing condition is internal pressure.
Minimum thickness per UG-16 = 1.5 mm + 1.6 mm = 3.1 mm
Design thickness due to internal pressure (t) = 7.26 mm
Maximum allowable working pressure (MAWP) = 347.55 kPa
Maximum allowable pressure (MAP) = 470.06 kPa
M (Corroded)= 1/4*[3 + (L / r)1/2]
M= 1/4*[3 + (2,101.6 / 151.6)1/2]= 1.680819
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M (New)= 1/4*[3 + (L / r)1/2]
M= 1/4*[3 + (2,100 / 150)
1/2
]= 1.685414
Design thickness for internal pressure, (Corroded at 48.9 °C) Appendix 1-4(d)
t = P*L*M / (2*S*E - 0.2*P) + Corrosion
= 364.97*2,101.6*1.6808 / (2*114,000*1 - 0.2*364.97) + 1.6
= 7.26 mm
The head internal pressure design thickness is 7.26 mm.
Maximum allowable working pressure, (Corroded at 48.9 °C) Appendix 1-4(d)
P = 2*S*E*t / (L*M + 0.2*t) - Ps
= 2*114,000*1*5.7 / (2,101.6*1.6808 + 0.2*5.7) - 20.23
= 347.55 kPa
The maximum allowable working pressure (MAWP) is 347.55 kPa.
Maximum allowable pressure, (New at 28 °C) Appendix 1-4(d)
P = 2*S*E*t / (L*M + 0.2*t) - Ps
= 2*114,000*1*7.3 / (2,100*1.6854 + 0.2*7.3) - 0
= 470.06 kPa
The maximum allowable pressure (MAP) is 470.06 kPa.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / R f )*(1 - R f / R o)
= (75*10 / 155)*(1 - 155 / infinity)
= 4.8387%
The extreme fiber elongation does not exceed 5%.
16 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº2 DESIGN
Component: Straight Flange
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C
Fig UCS-66.1M MDMT reduction = 44.5 °C, (coincident ratio = 0.4239)
Rated MDMT of -51.25°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 10 mm
Internal design pressure: P = 344.74 kPa @ 48.9 °C
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Static liquid head:
Ps = 20.23 kPa (SG = 0.84, Hs = 2,457.6 mm,Operating head)Pth = 24.07 kPa (SG = 1, Hs = 2,456 mm, Horizontal test head)
Corrosion allowance Inner C = 1.6 mm Outer C = 0 mm
Design MDMT = 0 °C No impact test performed
Rated MDMT = -48 °C Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography: Longitudinal joint - Seamless No RT
Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 16.3 kg corr = 13.7 kg
Capacity New = 114.04 liters corr = 114.37 liters
ID = 2,200 mm
Length Lc = 30 mm
t = 9 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 364.97*1,101.6 / (114,000*1.00 - 0.60*364.97) + 1.6
= 5.14 mm
Maximum allowable working pressure, (at 48.9 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps
= 114,000*1.00*8.4 / (1,101.6 + 0.60*8.4) - 20.23
= 845.07 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)= 114,000*1.00*10 / (1,100 + 0.60*10)
= 1,030.74 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / R f )*(1 - R f / R o)
= (50*10 / 1,105)*(1 - 1,105 / infinity)= 0.4525%
The extreme fiber elongation does not exceed 5%.
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPaS = 114 / 1.00 = 114 MPa
ScHC = min(B, S) = 82.99 MPa
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Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 10)
= 0.001126
B = 87.67 MPa
S = 114 / 1.00 = 114 MPa
ScHN = min(B, S) = 87.67 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 10)
= 0.001126
B = 87.67 MPa
S = 114 / 1.00 = 114 MPa
ScCN = min(B, S) = 87.67 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (R o / t)= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPa
S = 114 / 1.00 = 114 MPa
ScCC = min(B, S) = 82.99 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2
Metric)
A = 0.125 / (R o / t)
= 0.125 / (1,110 / 8.4)
= 0.000946
B = 82.99 MPa
S = 114 / 1.00 = 114 MPa
ScVC = min(B, S) = 82.99 MPa
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17 NOZZLE DESIGN: NPS 2(A - VACCUM, D – LEVEL TRANSMITTER, G – SPARE)
tw(lower) = 8 mm
Leg41 = 8 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on: Cylinder #1
Orientation: 0°
End of nozzle to shell center: 1,256 mm
Passes through a Category A joint: No
NozzleAccess opening: No
Material specification:SA-106 B Smls. Pipe (II-D Metric p. 14, ln.
19)
Description: NPS 2 Sch 160 DN 50
Inside diameter, new: 42.85 mm
Nominal wall thickness: 8.74 mm
Corrosion allowance: 1.6 mm
Projection available outside vessel, Lpr: 84.5 mm
Projection available outside vessel to flange face, Lf: 148 mmLocal vessel minimum thickness: 8 mm
Liquid static head included: 2.042 kPa
Longitudinal joint efficiency: 1
ASME B16.5-2009 Flange
Description: NPS 2 Class 150 WN A105
Bolt Material:SA-193 B7 Bolt
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(UCS-66(b)(3): Coincident ratio = 0.1777)
(Flange rated MDMT = -105 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48
°C)Liquid static head: 0.8232 kPa
MAWP rating: 1,923.67 kPa @ 48.9°C
MAP rating: 1,960 kPa @ 28°C
Hydrotest rating: 3,000 kPa @ 28°C
Gasket Description: Flexitallic Spiral Wound CG 304 S.S.
PWHT performed: No
Circumferential joint radiography: Full UW-11(a) Type 1
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm )For P = 659.97 kPa @ 48.9 °C
UG-45 Nozzle Wall
Thickness Summary (mm)The nozzle passes UG-45
A
required A
available A1 A2 A3 A5 A
welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.02 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing SummaryWeld description Required weld
throat size (mm) Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg41) 4.48 5.6 weld size is adequate
WRC 537Load
Case
P ( k P a )
P r
( N )
M c
( N - m )
V c
( N )
M L
( N - m )
V L
( N )
M t
( N - m )
Max
Comb
Stress
(MPa)
Allow
Comb
Stress
(MPa
)
Max
Local
Primar
y
Stress
(MPa)
Allow
Local
Primar
y
Stress
(MPa)
Over
stresse
d
Load
case 1 659.9 2280 228 1710 228 1710 342 299.605 342 129.077 171 No
Loadcase 1
(Hot
Shut
Down
)
0 2280 228 1710 228 1710 342 -212.9 342 -21.429 171 No
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Calculations for internal pressure 659.97 kPa @ 48.9 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1282).
External nozzle loadings per UG-22 govern the coincident ratio used.
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (tn - Cn) + (t - C))
= MAX(46.05, 23.03 + (8.74 - 1.6) + (8 - 1.6))= 46.05 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(8 - 1.6), 2.5*(8.74 - 1.6) + 0)
= 16 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (Sn*E - 0.6*P)
= 659.9698*23.03 / (118,000*1 - 0.6*659.9698)= 0.13 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698)
= 6.4 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698)
= 6.4 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or tn or t = 6.4 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.48 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
The fillet weld size is satisfactory.Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch
(c-e).
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UG-45 Nozzle Neck Thickness Check
ta UG-27
= P*R / (S*E - 0.6*P) + Corrosion
= 659.9698*23.03 / (118,000*1 - 0.6*659.9698) + 1.6
= 1.73 mm
ta UG-22 = 2.38 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.73 , 2.38 ]
= 2.38 mm
t b1
= P*R / (S*E - 0.6*P) + Corrosion
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698) + 1.6
= 8 mm
t b1 = max[ t b1 , t b UG16 ]
= max[ 8 , 3.1 ]
= 8 mm
t b = min[ t b3 , t b1 ]
= min[ 5.02 , 8 ]
= 5.02 mm
tUG-45 = max[ ta , t b ]
= max[ 2.38 , 5.02 ]
= 5.02 mm
Available nozzle wall thickness new, tn = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
WRC 537 Load case 1
Applied Loads
Radial load: Pr = 2,280 N
Circumferential moment: Mc = 228 N-m
Circumferential shear: Vc = 1,710 N
Longitudinal moment: ML = 228 N-m
Longitudinal shear: VL = 1,710 N
Torsion moment: Mt = 342 N-m
Internal pressure: P = 659.97 kPa
Mean shell radius: R m = 1,104.8 mm
Local shell thickness: T = 6.4 mm
Shell yield stress: Sy = 243 MPa
Design factor: 3
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Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
γ = R m / T = 1,104.8 / 6.4 = 172.6304
β = 0.875*r o / R m = 0.875*30.16 / 1,104.8 = 0.0239
Pressure stress intensity factor, I = 1.1188 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =127.091 MPa
Local longitudinal pressure stress = I*P*R i / (2*T) =63.549 MPa
Maximum combined stress (PL+P b+Q) = 299.6 MPa
Allowable combined stress (PL+P b+Q) = +-3*S = +-342 MPa
The maximum combined stress (PL+P b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 129.08 MPa
Allowable local primary membrane stress (PL) = +-1.5*S = +-171 MPa
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 537
Figur
e
Y Au Al Bu Bl Cu Cl Du Dl
3C* Nϕ / (P / R m) 32.8704
0 0 0 0 -10.597 -10.597 -10.597 -10.597
4C* Nϕ / (P / R m) 30.1434
-9.722 -9.722 -9.722 -9.722 0 0 0 0
1C Mϕ / P 0.2033 0 0 0 0 -67.9 67.9 -67.9 67.92C-1 Mϕ / P 0.1589 -53.076 53.076 -53.076 53.076 0 0 0 03A* Nϕ / [Mc / (R m
2*β)] 2.2123 0 0 0 0 -2.703 -2.703 2.703 2.703
1A Mϕ / [Mc / (R m* β )] 0.1036 0 0 0 0 -131.05 131.05 131.05 -131.053B* Nϕ / [ML / (R m
2* β
)] 9.5791 -11.707 -11.707 11.707 11.707 0 0 0 0
1B-1 Mϕ / [ML / (R m* β
)]
0.0614 -77.725 77.725 77.725 -77.725 0 0 0 0
Pressure stress* 127.09 127.09 127.09 127.09 113.59 113.59 113.59 113.59
Total circumferential stress -25.138 236.46 153.72 104.42 -98.657 299.25 168.85 42.548
Primary membrane circumferential
stress*
105.66
2
105.66
2
129.07
7
129.07
7
100.29
8
100.29
8
105.70
4
105.70
4
3C* Nx / (P / R m) 32.8704
-10.597 -10.597 -10.597 -10.597 0 0 0 0
4C* Nx / (P / R m) 30.1434
0 0 0 0 -9.722 -9.722 -9.722 -9.722
1C-1 Mx / P 0.1996 -66.659 66.659 -66.659 66.659 0 0 0 02C Mx / P 0.1534 0 0 0 0 -51.228 51.228 -51.228 51.2284A* Nx / [Mc / (R m
2* β
)] 3.1545 0 0 0 0 -3.854 -3.854 3.854 3.854
2A Mx / [Mc / (R m* β )] 0.0605 0 0 0 0 -76.559 76.559 76.559 -76.559
4B* Nx / [ML / (R m * β)] 2.4503 -2.992 -2.992 2.992 2.992 0 0 0 02B-1 Mx / [ML / (R m* β)] 0.0952 -120.52 120.52 120.52 -120.52 0 0 0 0Pressure stress* 56.799 56.799 56.799 56.799 63.549 63.549 63.549 63.549
Total longitudinal stress -143.96 230.38 103.05 -4.668 -77.814 177.76 83.013 32.35
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Primary membrane longitudinal stress* 43.209 43.209 49.194 49.194 49.973 49.973 57.682 57.682
Shear from Mt 9.349 9.349 9.349 9.349 9.349 9.349 9.349 9.349
Circ shear from Vc 2.82 2.82 -2.82 -2.82 0 0 0 0
Long shear from VL 0 0 0 0 -2.82 -2.82 2.82 2.82
Total Shear stress 12.169 12.169 6.529 6.529 6.529 6.529 12.169 12.169Combined stress (PL+Pb+Q) -145.20 245.97 154.55 109.87 -100.53 299.60 170.54 50.642
Note: * denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
σn (Pm) = P*R i / (2*tn) - Pr / (π*(R o2 - R i
2)) + M*R o / I
= 659.97 / 1000*23.03 / (2*6.05) - 2,280 / (π *(30.162 - 23.032)) + 322,440.6*30.16 / 429,321
= 21.999 MPa
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure+ external loads is acceptable ( ≤ S = 118 MPa)
Shear stress in the nozzle wall due to external loads
σshear = (VL2 + Vc
2)0.5 / (π R i*tn)
= (1,7102 + 1,7102)0.5 / (π *23.03*7.14)
= 4.684 MPa
σtorsion = Mt / (2* π *R i2*tn)
= 342 / (2* π *23.032*7.14)
= 14.385 MPa
σtotal = σshear + σtorsion
= 4.684 + 14.385
= 19.069 MPa
UG-45: The total combined shear stress (19.069 MPa) ≤ allowable (0.7*Sn = 0.7*118 = 82.6 MPa)
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm )For P = 825.48 kPa @ 28 °C
UG-45 Nozzle Wall
Thickness Summary (mm)The nozzle passes UG-45
A
required A
available A1 A2 A3 A5 A
welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 7.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing SummaryWeld description Required weld
throat size (mm) Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg41) 5.6 5.6 weld size is adequate
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Calculations for internal pressure 825.48 kPa @ 28 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (tn - Cn) + (t - C))
= MAX(42.85, 21.42 + (8.74 - 0) + (8 - 0))
= 42.85 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(8 - 0), 2.5*(8.74 - 0) + 0)
= 20 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (Sn*E - 0.6*P)= 825.4811*21.42 / (118,000*1 - 0.6*825.4811)
= 0.15 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 825.4811*1,100 / (114,000*1 - 0.6*825.4811)
= 8 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 825.4811*1,100 / (114,000*1 - 0.6*825.4811)
= 8 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or tn or t = 8 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.6 mmtc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch
(c-e).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 825.4811*21.42 / (118,000*1 - 0.6*825.4811) + 0
= 0.15 mm
ta UG-22 = 0.98 mm
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ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.15 , 0.98 ]
= 0.98 mm
t b1 = P*R / (S*E - 0.6*P) + Corrosion
= 825.4811*1,100 / (114,000*1 - 0.6*825.4811) + 0
= 8 mm
t b1 = max[ t b1 , t b UG16 ]
= max[ 8 , 1.5 ]
= 8 mm
t b = min[ t b3 , t b1 ]= min[ 3.42 , 8 ]
= 3.42 mm
tUG-45 = max[ ta , t b ]
= max[ 0.98 , 3.42 ]
= 3.42 mm
Available nozzle wall thickness new, tn = 0.875*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
18 NOZZLE DESIGN: NPS 4(B – INLET)
tw(lower) = 8 mm
Leg41 = 8 mm
tw(upper) = 8 mm
Leg42 = 8 mmD p = 215.9 mm
te = 8 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on: Cylinder #1
Orientation: 0°
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End of nozzle to shell center: 1,256 mm
Passes through a Category A joint: No
Nozzle
Access opening: No
Material specification:SA-106 B Smls. Pipe (II-D Metric p. 14, ln.
19)
Description: NPS 4 Sch 80 (XS) DN 100
Inside diameter, new: 97.18 mm
Nominal wall thickness: 8.56 mm
Corrosion allowance: 1.6 mm
Projection available outside vessel, Lpr: 71.8 mm
Projection available outside vessel to flange face, Lf: 148 mm
Local vessel minimum thickness: 8 mm
Liquid static head included: 2.0415 kPa
Longitudinal joint efficiency: 1
Reinforcing Pad
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Diameter: 215.9 mm
Is split: No
ASME B16.5-2009 Flange
Description: NPS 4 Class 150 WN A105
Bolt Material:SA-193 B7 Bolt
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Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm )For P = 659.97 kPa @ 48.9 °C
The opening is adequately reinforced
UG-45 Nozzle Wall
Thickness Summary (mm)The nozzle passes UG-45
A
required A
available A1 A2 A3 A5 A
welds treq tmin
6.424 9.6937 -- 2.1368 -- 6.9169 0.64 6.87 7.49
UG-41 Weld Failure Path Analysis Summary (N)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
73,233 110,508 248,480 41,810 298,336 120,663 248,485
UW-16 Weld Sizing SummaryWeld description Required weld
size (mm) Actual weld
size (mm) Status
Nozzle to pad fillet (Leg41) 4.87 5.6 weld size is adequate
Pad to shell fillet (Leg42) 3.2 5.6 weld size is adequate
Nozzle to pad groove (Upper) 4.87 8 weld size is adequate
WRC 537Load
Case
P ( k P a )
P r
( N )
M c
( N - m )
V c
( N )
M L
( N - m )
V L
( N )
M t
( N - m )
Max
Comb
Stress
(MPa)
Allow
Comb
Stress
(MPa)
Max
Local
Primar
yStress
(MPa)
Allow
Local
Primar
yStress
(MPa)
Over
stresse
d
Load
case 1 659.9 4560 912 3420 912 3420 1368 267.59 342 123.526 171 No
Load
case 1
(Hot
Shut
Down)
0 4560 912 3420 912 3420 1368 -190.29 342 -44.899 171 No
Calculations for internal pressure 659.97 kPa @ 48.9 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1456).
External nozzle loadings per UG-22 govern the coincident ratio used.
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Pad is impact test exempt per UG-20(f).
Nozzle UCS-66 governing thk: 7.49 mm Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 8 mm
Pad rated MDMT: -29 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (tn - Cn) + (t - C))
= MAX(100.38, 50.19 + (8.56 - 1.6) + (8 - 1.6))
= 100.38 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(8 - 1.6), 2.5*(8.56 - 1.6) + 8)
= 16 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (Sn*E - 0.6*P)
= 659.9698*50.19 / (118,000*1 - 0.6*659.9698)
= 0.28 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698)
= 6.4 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698)
= 6.4 mm
Area required per UG-37(c)
Allowable stresses: Sn = 118, Sv = 114, S p = 114 MPa
f r1 = lesser of 1 or Sn / Sv = 1
f r2 = lesser of 1 or Sn / Sv = 1
f r3 = lesser of f r2 or S p / Sv = 1
f r4 = lesser of 1 or S p / Sv = 1
A = d*tr *F + 2*tn*tr *F*(1 - f r1)
= (100.38*6.4*1 + 2*6.96*6.4*1*(1 - 1)) / 100
= 6.4239 cm2
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Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr ) - 2*tn*(E1*t - F*tr )*(1 - f r1)
= (100.38*(1*6.4 - 1*6.4) - 2*6.96*(1*6.4 - 1*6.4)*(1 - 1)) / 100
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr ) - 2*tn*(E1*t - F*tr )*(1 - f r1)
= (2*(6.4 + 6.96)*(1*6.4 - 1*6.4) - 2*6.96*(1*6.4 - 1*6.4)*(1 - 1)) / 100
= 0 cm2
A2 = smaller of the following= 2.1368 cm2
= 5*(tn - trn)*f r2*t
= (5*(6.96 - 0.28)*1*6.4) / 100
= 2.1368 cm2
= 2*(tn - trn)*(2.5*tn + te)*f r2
= (2*(6.96 - 0.28)*(2.5*6.96 + 8)*1) / 100
= 3.3923 cm2
A41 = Leg2*f r3
= (82
*1) / 100= 0.64 cm2
A42 = Leg2*f r4
= (02*1) / 100
= 0 cm2
(Part of the weld is outside of the limits)
A5 = (D p - d - 2*tn)*te*f r4
= ((200.76 - 100.38 - 2*6.96)*8*1) / 100
= 6.9169 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 2.1368 + 0.64 + 0 + 6.9169
= 9.6937 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 6.96 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.87 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
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Outer fillet: tmin = lesser of 19 mm or te or t = 6.4 mm
tw(min) = 0.5*tmin = 3.2 mm
tw(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 659.9698*50.19 / (118,000*1 - 0.6*659.9698) + 1.6
= 1.88 mm
ta UG-22 = 2.46 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 1.88 , 2.46 ]
= 2.46 mm
t b1 = P*R / (S*E - 0.6*P) + Corrosion
= 659.9698*1,101.6 / (114,000*1 - 0.6*659.9698) + 1.6
= 8 mm
t b1 = max[ t b1 , t b UG16 ]
= max[ 8 , 3.1 ]
= 8 mm
t b = min[ t b3 , t b1 ]
= min[ 6.87 , 8 ]
= 6.87 mm
tUG-45 = max[ ta , t b ]
= max[ 2.46 , 6.87 ]
= 6.87 mm
Available nozzle wall thickness new, tn = 0.875*8.56 = 7.49 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension: 0.74*114 = 84.36 MPa
Nozzle wall in shear: 0.7*118 = 82.6 MPa
Inner fillet weld in shear: 0.49*114 = 55.86 MPa
Outer fillet weld in shear: 0.49*114 = 55.86 MPa
Upper groove weld in tension: 0.74*114 = 84.36 MPa
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WRC 537 Load case 1
Applied Loads
Radial load: Pr = 4,560 N
Circumferential moment: Mc = 912 N-m
Circumferential shear: Vc = 3,420 N
Longitudinal moment: ML = 912 N-m
Longitudinal shear: VL = 3,420 N
Torsion moment: Mt = 1,368 N-m
Internal pressure: P = 659.97 kPa
Mean shell radius: R m = 1,104.8 mm
Local shell thickness: T = 6.4 mmShell yield stress: Sy = 243 MPa
Design factor: 3
Maximum stresses due to the applied loads at the pad edge (includes pressure)
γ = R m / T = 1,104.8 / 6.4 = 172.6304
β = 0.875*r o / R m = 0.875*107.95 / 1,104.8 = 0.0855
Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =113.598 MPa
Local longitudinal pressure stress = I*P*R i / (2*T) =56.799 MPa
Maximum combined stress (PL+P b+Q) = 267.59 MPa
Allowable combined stress (PL+P b+Q) = +-3*S = +-342 MPa
The maximum combined stress (PL+P b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 123.53 MPaAllowable local primary membrane stress (PL) = +-1.5*S = +-171 MPa
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl 3C* Nϕ / (P / R m) 14.942 0 0 0 0 -9.639 -9.639 -9.639 -9.6394C* Nϕ / (P / R m) 27.109 -17.48 -17.48 -17.48 -17.48 0 0 0 01C Mϕ / P 0.0741 0 0 0 0 -49.49 49.49 -49.49 49.4912C-1 Mϕ / P 0.0476 -31.79 31.79 -31.79 31.79 0 0 0 03A* Nϕ / [Mc /
(R m2*β)]
6.224 0 0 0 0 -8.501 -8.501 8.501 8.501
1A Mϕ / [Mc /(R m* β)]
0.0867 0 0 0 0 -122.6 122.63 122.63 -122.6
3B* Nϕ / [ML /(R m
2* β)]
20.073 -27.41 -27.41 27.41 27.41 0 0 0 0
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1B-1 Mϕ / [ML /(R m* β)]
0.0283 -40.01 40.01 40.01 -40.01 0 0 0 0
Pressure stress* 113.59 113.59 113.59 113.59 113.59 113.59 113.59 113.59Total circumferential stress -3.11 140.50 131.73 115.31 -76.66 267.57 185.6 39.321Primary membrane circumferentialstress*
68.699 68.699 123.52 123.52 95.458 95.458 112.46 112.46
3C* Nx / (P / R m) 14.942 -9.639 -9.639 -9.639 -9.639 0 0 0 04C* Nx / (P / R m) 27.109 0 0 0 0 -17.48 -17.48 -17.48 -17.481C-1 Mx / P 0.075 -50.12 50.12 -50.12 50.12 0 0 0 02C Mx / P 0.0471 0 0 0 0 -31.43 31.43 -31.43 31.434A* Nx / [Mc /
(R m2* β)]
11.599 0 0 0 0 -15.84 -15.84 15.84 15.84
2A Mx / [Mc /(R m* β)]
0.0393 0 0 0 0 -55.61 55.61 55.61 -55.61
4B* Nx / [ML /(R m
2* β)]
6.7274 -9.184 -9.184 9.184 9.184 0 0 0 0
2B-1 Mx / [ML /(R m* β)]
0.0396 -55.96 55.96 55.96 -55.96 0 0 0 0
Pressure stress* 56.799 56.799 56.799 56.799 56.799 56.799 56.799 56.799Total longitudinal stress -68.1 144.05 62.184 50.504 -63.56 110.51 79.324 30.978Primary membrane longitudinal
stress* 37.976 37.976 56.344 56.344 23.477 23.477 55.151 55.151
Shear from Mt 2.916 2.916 2.916 2.916 2.916 2.916 2.916 2.916Circ shear from Vc 1.579 1.579 -1.579 -1.579 0 0 0 0Long shear from VL 0 0 0 0 -1.579 -1.579 1.579 1.579Total Shear stress 4.495 4.495 1.338 1.338 1.338 1.338 4.495 4.495Combined stress (PL+Pb+Q) -68.41 147.11 131.76 115.34 -76.80 267.59 185.79 41.28
Note: * denotes primary stress.
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
γ = R m / T = 1,104.8 / 14.4 = 76.7233
β = 0.875*r o / R m = 0.875*57.15 / 1,104.8 = 0.0453
Pressure stress intensity factor, I = 0.9083 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*R i / T =103.18 MPa
Local longitudinal pressure stress = I*P*R i / (2*T) =51.587 MPa
Maximum combined stress (PL+P b+Q) = 184.58 MPa
Allowable combined stress (PL+P b+Q) = +-3*S = +-342 MPa
The maximum combined stress (PL+P b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 110.61 MPa
Allowable local primary membrane stress (PL) = +-1.5*S = +-171 MPa
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl
3C* Nϕ / (P / R m) 15.955 0 0 0 0 -4.571 -4.571 -4.571 -4.5714C* Nϕ / (P / R m) 14.536 -4.16 -4.16 -4.16 -4.16 0 0 0 01C Mϕ / P 0.1782 0 0 0 0 -23.51 23.51 -23.51 23.512C-1 Mϕ / P 0.1328 -17.52 17.52 -17.52 17.52 0 0 0 03A* Nϕ / [Mc /
(R m2*β)]
1.3803 0 0 0 0 -1.586 -1.586 1.586 1.586
1A Mϕ / [Mc /(R m* β )]
0.1014 0 0 0 0 -53.51 53.51 53.51 -53.51
3B* Nϕ / [ML /(R m
2* β )]
5.1605 -5.92 -5.92 5.92 5.92 0 0 0 0
1B-1 Mϕ / [ML /(R m* β )]
0.0577 -30.43 30.43 30.43 -30.43 0 0 0 0
Pressure stress* 103.18 103.18 103.18 103.18 113.59 113.59 113.59 113.59Total circumferential stress 45.147 141.05 117.83 92.031 30.42 184.46 140.61 80.614Primary membrane
circumferential stress* 93.1 93.1 104.93 104.93 107.44 107.44 110.61 110.61
3C* Nx / (P / R m) 15.955 -4.571 -4.571 -4.571 -4.571 0 0 0 04C* Nx / (P / R m) 14.536 0 0 0 0 -4.164 -4.164 -4.164 -4.1641C-1 Mx / P 0.1747 -23.049 23.049 -23.049 23.049 0 0 0 02C Mx / P 0.1334 0 0 0 0 -17.595 17.595 -17.595 17.5954A* Nx / [Mc /
(R m2* β )]
2.9181 0 0 0 0 -3.344 -3.344 3.344 3.344
2A Mx / [Mc /(R m* β)]
0.0592 0 0 0 0 -31.219 31.219 31.219 -31.219
4B* Nx / [ML /
(R m2* β)]
1.4156 -1.62 -1.62 1.62 1.62 0 0 0 0
2B-1 Mx / [ML /(R m* β)]
0.0922 -48.677 48.677 48.677 -48.677 0 0 0 0
Pressure stress* 56.799 56.799 56.799 56.799 51.587 51.587 51.587 51.587Total longitudinal stress -21.119 122.33 79.476 28.22 -4.737 92.893 64.39 37.142Primary membrane longitudinal
stress* 50.608 50.608 53.848 53.848 44.078 44.078 50.766 50.766
Shear from Mt 4.626 4.626 4.626 4.626 4.626 4.626 4.626 4.626Circ shear from Vc 1.324 1.324 -1.324 -1.324 0 0 0 0Long shear from VL 0 0 0 0 -1.324 -1.324 1.324 1.324Total Shear stress 5.95 5.95 3.303 3.303 3.303 3.303 5.95 5.95Combined stress (PL+Pb+Q) 67.327 142.78 118.11 92.204 35.77 184.58 141.07 81.41
Note: * denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
σn (Pm) = P*R i / (2*tn) - Pr / (π*(R o2 - R i
2)) + M*R o / I
= 659.97 / 1000*50.19 / (2*5.89) - 4,560 / (π*(57.152 - 50.192)) + 1,289,762.5*57.15 / 3,394,342
= 22.585 MPa
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure
+ external loads is acceptable ( ≤ S = 118 MPa)
Shear stress in the nozzle wall due to external loads
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σshear = (VL2 + Vc
2)0.5 / (π*R i*tn)
= (3,4202 + 3,4202)0.5 / (π*50.19*6.96)
= 4.407 MPa
σtorsion = Mt / (2*π*R i2*tn)
= 1,368 / (2*π*50.192*6.96)
= 12.419 MPa
σtotal = σshear + σtorsion
= 4.407 + 12.419
= 16.826 MPa
UG-45: The total combined shear stress (16.826 MPa) ≤ allowable (0.7*Sn = 0.7*118 = 82.6 MPa)
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm )For P = 825.48 kPa @ 28 °C
The opening is adequately reinforced
UG-45 Nozzle Wall
Thickness Summary (mm)The nozzle passes UG-45
A
required A
available A1 A2 A3 A5 A
welds treq tmin
7.7744 10.3326 -- 3.2877 -- 6.4049 0.64 5.27 7.49
UG-41 Weld Failure Path Analysis Summary (N)All failure paths are stronger than the applicable weld loads
Weld load
W Weld load
W1-1 Path 1-1
strength Weld load
W2-2 Path 2-2
strength Weld load
W3-3 Path 3-3
strength
88,628 117,792 268,989 60,389 322,572 133,405 272,722
UW-16 Weld Sizing SummaryWeld description Required weld
size (mm) Actual weld
size (mm) Status
Nozzle to pad fillet (Leg41) 5.6 5.6 weld size is adequate Pad to shell fillet (Leg42) 4 5.6 weld size is adequate
Nozzle to pad groove (Upper) 5.6 8 weld size is adequate
Calculations for internal pressure 825.48 kPa @ 28 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, R n + (tn - Cn) + (t - C))
= MAX(97.18, 48.59 + (8.56 - 0) + (8 - 0))
= 97.18 mm
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Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(t
n - C
n) + t
e)
= MIN(2.5*(8 - 0), 2.5*(8.56 - 0) + 8)
= 20 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*R n / (Sn*E - 0.6*P)
= 825.4811*48.59 / (118,000*1 - 0.6*825.4811)
= 0.34 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 825.4811*1,100 / (114,000*1 - 0.6*825.4811)
= 8 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 825.4811*1,100 / (114,000*1 - 0.6*825.4811)
= 8 mm
Area required per UG-37(c)
Allowable stresses: Sn = 118, Sv = 114, S p = 114 MPa
f r1 = lesser of 1 or Sn / Sv = 1
f r2 = lesser of 1 or Sn / Sv = 1
f r3 = lesser of f r2 or S p / Sv = 1
f r4 = lesser of 1 or S p / Sv = 1
A = d*tr *F + 2*t
n*t
r *F*(1 - f
r1)
= (97.18*8*1 + 2*8.56*8*1*(1 - 1)) / 100
= 7.7744 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr ) - 2*tn*(E1*t - F*tr )*(1 - f r1)
= (97.18*(1*8 - 1*8) - 2*8.56*(1*8 - 1*8)*(1 - 1)) / 100
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr ) - 2*tn*(E1*t - F*tr )*(1 - f r1)
= (2*(8 + 8.56)*(1*8 - 1*8) - 2*8.56*(1*8 - 1*8)*(1 - 1)) / 100
= 0 cm2
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A2 = smaller of the following= 3.2877 cm2
= 5*(tn - trn)*f r2*t= (5*(8.56 - 0.34)*1*8) / 100
= 3.2877 cm2
= 2*(tn - trn)*(2.5*tn + te)*f r2
= (2*(8.56 - 0.34)*(2.5*8.56 + 8)*1) / 100
= 4.8329 cm2
A41 = Leg2*f r3
= (82*1) / 100
= 0.64 cm2
A42 = Leg2*f r4
= (02*1) / 100
= 0 cm2
(Part of the weld is outside of the limits)
A5 = (D p - d - 2*tn)*te*f r4
= ((194.36 - 97.18 - 2*8.56)*8*1) / 100
= 6.4049 cm
2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.2877 + 0.64 + 0 + 6.4049
= 10.3326 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.6 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 8 mm
tw(min) = 0.5*tmin = 4 mm
tw(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
UG-45 Nozzle Neck Thickness Check
ta UG-27
= P*R / (S*E - 0.6*P) + Corrosion
= 825.4811*48.59 / (118,000*1 - 0.6*825.4811) + 0
= 0.34 mm
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ta UG-22 = 1.06 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.34 , 1.06 ]
= 1.06 mm
t b1 = P*R / (S*E - 0.6*P) + Corrosion
= 825.4811*1,100 / (114,000*1 - 0.6*825.4811) + 0
= 8 mm
t b1 = max[ t b1 , t b UG16 ]
= max[ 8 , 1.5 ]
= 8 mm
t b = min[ t b3 , t b1 ]
= min[ 5.27 , 8 ]
= 5.27 mm
tUG-45 = max[ ta , t b ]
= max[ 1.06 , 5.27 ]
= 5.27 mm
Available nozzle wall thickness new, tn = 0.875*8.56 = 7.49 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension: 0.74*114 = 84.36 MPa
Nozzle wall in shear: 0.7*118 = 82.6 MPa
Inner fillet weld in shear: 0.49*114 = 55.86 MPa
Outer fillet weld in shear: 0.49*114 = 55.86 MPa
Upper groove weld in tension: 0.74*114 = 84.36 MPa
Strength of welded joints:
(1) Inner fillet weld in shear
(π / 2)*Nozzle OD*Leg*Si = (π / 2)*114.3*8*55.86 = 80,233.75 N
(2) Outer fillet weld in shear
(π / 2)*Pad OD*Leg*So = (π / 2)*215.9*8*55.86 = 151,552.64 N
(3) Nozzle wall in shear
(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*105.74*8.56*82.6 = 117,436.67 N
(4) Groove weld in tension
(π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*8*84.36 = 121,169.33 N
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(6) Upper groove weld in tension
(π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*8*84.36 = 121,169.33 N
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*f r1*(E1*t - F*tr ))*Sv
= (777.4416 - 0 + 2*8.56*1*(1*8 - 1*8))*114
= 88,628.39 N
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (328.7735 + 640.4864 + 63.9999 + 0)*114
= 117,791.63 N
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*f r1)*Sv = (328.7735 + 0 + 63.9999 + 0 + 2*8.56*8*1)*114
= 60,389.25 N
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*f r1)*Sv
= (328.7735 + 0 + 640.4864 + 63.9999 + 0 + 0 + 2*8.56*8*1)*114
= 133,404.71 N
Load for path 1-1 lesser of W or W1-1 = 88,628.39 N
Path 1-1 through (2) & (3) = 151,552.64 + 117,436.67 = 268,989.3 N
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 60,389.25 N
Path 2-2 through (1), (4), (6) = 80,233.75 + 121,169.33 + 121,169.33 = 322,572.42 N
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 88,628.39 N
Path 3-3 through (2), (4) = 151,552.64 + 121,169.33 = 272,721.97 N
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
8/8/2019 PEQ001-03-ETN-0000-MC-M540-00292=A -TLT-TQ-3265
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MEMORIA DE CALCULONº DE DOCUMENTO: REV.:
APEQ001-03-ETN-0000-MC-M540-00292 ÁREA:
TERMINAL LA TRONCALHOJA:
49 de 80
TÍTULO:
MEMORIA DE CALCULO - TANQUE SUMIDERO -TLT-TQ-3265
19 NOZZLE DESIGN: NPS 32
(C – MANWAY)
tw(lower) = 8 mm
Leg41 = 8 mm
tw(upper) = 8 mm
Leg42 = 8 mm
D p = 1,113 mm
te = 8 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on: Cylinder #1
Orientation: 0°
End of nozzle to shell center: 1,356 mm
Passes through a Category A joint: No
Nozzle
Access opening: Yes
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Inside diameter, new: 789 mm
Nominal wall thickness: 12 mm
Corrosion allowance: 1.6 mm
Projection available outside vessel, Lpr: 103.47 mm
Projection available outside vessel to flange face, Lf: 248 mm
Local vessel minimum thickness: 8 mmLiquid static head included: 2.0415 kPa
Longitudinal joint efficiency: 1
Reinforcing Pad
Material specification: SA-36 (II-D Metric p. 10, ln. 21)
Diameter