peq001-01-etn-0000-mc-m540-00231=b -epa-tq-1260
DESCRIPTION
memoria de calculo de tanque a presionTRANSCRIPT
MEMORIA DE CALCULO Nº DE DOCUMENTO:
PEQ001-01-ETN-0000-MC-M540-00231 CLIENTE: PETROECUADOR HOJA:
1 de 66 PROGRAMA:
POLIDUCTO PASCUALES – CUENCA ÁREA: ESTACION PASCUALES TÍTULO:
MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
REPRESENTANTE TÉCNICO: Nº PROVEEDOR:
ALEJANDRO ZABALA - Nº DE CONTRATO: Nº ORDEN DE COMPRA: Nº REQUISICIÓN DE MATERIAL:
2013299 EPP-2013299-POL-M-0007 PEQ001-01-BAS-0000-RM-M540-0001
ÍNDICE DE REVISIONES
REV DESCRIPCIÓN Y/O HOJAS REVISADAS
A
B
EMISIÓN ORIGINAL. PARA REVISION.
PARA APROBACION
REV. A REV. B REV. C REV. REV. REV. REV. REV. REV.
FECHA 22/04/14 4/07/14 PROYECTO ENATIN ENATIN EJECUCIÓN S.VELASCO A.ZABALA VERIFICACIÓN A.ZABALA A.ZABALA APROBACIÓN F.ROSSEL F.ROSSEL ESTE 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 CYLINDER Nº4 DESIGN 19
14 TORISPHERICAL HEAD Nº1 DESIGN 21
15 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº1 DESIGN 22
16 TORISPHERICAL HEAD Nº2 DESIGN 25
17 STRAIGHT FLANGE ON TORISPHERICAL HEAD Nº2 DESIGN 26
18 NOZZLE DESIGN: NPS 2 29
19 NOZZLE DESIGN: NPS 3 37
20 NOZZLE DESIGN: NPS 32 45
21 SUPPORT DESIGN 54
22 LIFTING LUG DESIGN 62
23 SOFTWARE FEATURES 66
B
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1 INPUT DATA
DIMENSIONS Nominal Capacity 105000 gal Tank Diameter (Inside), 2500 mm Tank Length S-S, 7510 mm
DESIGN CONDITIONS Minimum Design Temperature 0 ºC Design Temperature 48.9 ºC Design Internal Pressure 344.74 kPa Design external Pressure Atm Operating Pressure Atmospheric Operating Temperature 23.9 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 2013
SEISMIC 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
B
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2 SETTINGS SUMMARY
Units: SI Datum 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): No Design 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 <= 1.50" thick: No UG-37(a) shell tr calculation considers longitudinal stress: No
Pipe under-tolerance is not applied to pipe cap thicknesses. Butt welds use deposited weld metal only (Interpretation VIII-1-95-62).
Hydro/Pneumatic Test Shop Hydrotest Pressure: 1.3 times vessel MAWP Test liquid specific gravity: 1.00 Maximum stress during test: 90% of yield Required Marking - UG-116 UG-116(e) Radiography: RT1 UG-116(f) Postweld heat treatment: None Code Cases\Interpretations Use Code Case 2547: No Use Code Case 2695: No Apply interpretation VIII-1-83-66: Yes Apply interpretation VIII-1-86-175: Yes Apply interpretation VIII-1-01-37: No No UCS-66.1 MDMT reduction: No No UCS-68(c) MDMT reduction: No Disallow UG-20(f) exemptions: No
B
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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): No UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: Yes UG-22(f) Wind reactions: No
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
3 NOZZLES SUMMARY
Nozzle Schedule
Noz
zle
mar
k
Service Size Materials
Impa
ct
Tes
ted
Nor
mal
ized
Fine
Gra
in Flange Blind
A VACCUM NPS 2 Sch 160 DN 50
Nozzle SA-106 B Smls. Pipe
No No No NPS 2 Class 150 WN A105
No
B INLET NPS 3 Sch 80 (XS) DN 80
Nozzle SA-106 B Smls. Pipe
No No No NPS 3 Class 150 WN A105
No
C MANWAY 812.8 OD x 10 Nozzle SA-36 No No No NPS 32 Class 150 WN A105
NPS 32 Class 150 A105
Pad SA-36 No No No
D LEVEL TRANSMITER
NPS 3 Sch 80 (XS) DN 80
Nozzle SA-106 B Smls. Pipe
No No No NPS 3 Class 150 WN A105
No
E SPARE NPS 3 Sch 80 (XS) DN 80
Nozzle SA-106 B Smls. Pipe
No No No NPS 3 Class 150 WN A105
NPS 3 Class 150 A105
F VENT TANK NPS 2 Sch 160 DN 50
Nozzle SA-106 B Smls. Pipe
No No No NPS 2 Class 150 WN A105
No
G SPARE NPS 2 Sch 160 DN 50
Nozzle SA-106 B Smls. Pipe
No No No NPS 2 Class 150 WN A105
NPS 2 Class 150 A105
B
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Nozzle mark
OD (mm)
tn (mm)
Req tn (mm)
A1? A2? Shell Reinforcement Pad
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 10 N/A N/A N/A 1.6 Exempt B 88.9 7.62 7.32 Yes Yes 10 N/A N/A N/A 1.6 Exempt C 812.8 10 3.5 Yes Yes 10 6.84 150 8 1.6 100.0 D 88.9 7.62 7.32 Yes Yes 10 N/A N/A N/A 1.6 Exempt E 88.9 7.62 7.32 Yes Yes 10 N/A N/A N/A 1.6 Exempt F 60.33 8.74 5.74 Yes Yes 10 N/A N/A N/A 1.6 Exempt G 60.33 8.74 5.74 Yes Yes 10 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 48.9 347.1 455.82 -33.1 Note 1 No Straight Flange on F&D Head #1 344.74 48.9 739.3 907.64 -40.25 Note 2 No Cylinder #1 344.74 48.9 739.3 907.64 -40.25 Note 2 No Cylinder #2 344.74 48.9 739.3 907.64 -40.25 Note 2 No Cylinder #3 344.74 48.9 739.3 907.64 -40.25 Note 2 No Cylinder #4 344.74 48.9 739.3 907.64 -40.25 Note 2 No Straight Flange on F&D Head #2 344.74 48.9 739.3 907.64 -40.25 Note 2 No F&D Head #2 344.74 48.9 347.1 455.82 -33.1 Note 1 No Saddle #1 344.74 48.9 347.1 N/A N/A N/A N/A VACCUM (A) 344.74 48.9 759.93 907.59 -48 Note 3 No INLET (B) 344.74 48.9 743.83 907.59 -48 Note 3 No MANWAY (C) 344.74 48.9 539.18 621.88 -45.5 Nozzle Note 4 No
Pad Note 5 No LEVEL TRANSMITER (D) 344.74 48.9 759.93 907.59 -48 Note 3 No SPARE (E) 344.74 48.9 743.83 907.59 -48 Note 3 No VENT TANK (F) 344.74 48.9 759.93 907.59 -48 Note 3 No SPARE (G) 344.74 48.9 759.93 907.59 -48 Note 3 No
Chamber design MDMT is 0 °C Chamber rated MDMT is -33.1 °C @ 347.1 kPa
Chamber MAWP hot & corroded is 347.1 kPa @ 48.9 °C
Chamber MAP cold & new is 455.82 kPa @ 28 °C
B
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This pressure chamber is not designed for external pressure.
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 = 25.1 °C, (coincident ratio = 0.5731)
UCS-66 governing thickness = 8.4 mm
2. Material impact test exemption temperature from Fig UCS-66M Curve A = -6.75 °C Fig UCS-66.1M MDMT reduction = 33.5 °C, (coincident ratio = 0.4843)
UCS-66 governing thickness = 10 mm
3. 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 = 0.1775
4. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1454).
5. Pad impact test exemption temperature from Fig UCS-66M Curve A = -8 °C Fig UCS-66.1M MDMT reduction = 37.5 °C, (coincident ratio = 0.4572)
UCS-66 governing thickness = 8 mm.
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
Cylinder #4 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 Vessel Circumferential 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 No RT
D N/A / Type 7 C UW-11(a)(4) exempt / Type 1
N/A
MANWAY (C) A User Defined (E = 1.00)
D N/A / Type 7 C Full UW-11(a) / Type 1
RT1
LEVEL TRANSMITER (D)
N/A Seamless No RT
D N/A / Type 7 C UW-11(a)(4) exempt / Type 1
N/A
SPARE (E) N/A Seamless No D N/A / Type 7 C UW-11(a)(4) N/A
B
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RT exempt / Type 1
VENT TANK (F) N/A Seamless No RT
D N/A / Type 7 C UW-11(a)(4) exempt / Type 1
N/A
SPARE (G) N/A Seamless No RT
D N/A / Type 7 C UW-11(a)(4) exempt / Type 1
N/A
Nozzle Flange Longitudinal Seam Flange Face Nozzle to Flange Circumferential Seam
ASME B16.5/16.47 flange attached to VACCUM (A)
N/A Seamless No RT
N/A N/A / Gasketed
C UW-11(a)(4) exempt / Type 1
N/A
ASME B16.5/16.47 flange attached to INLET (B)
N/A Seamless No RT
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 No RT
N/A N/A / Gasketed
C Full UW-11(a) / Type 1
RT1
ASME B16.5/16.47 flange attached to LEVEL TRANSMITER (D)
N/A Seamless No RT
N/A N/A / Gasketed
C UW-11(a)(4) exempt / Type 1
N/A
ASME B16.5/16.47 flange attached to SPARE (E)
N/A Seamless No RT
N/A N/A / Gasketed
C UW-11(a)(4) exempt / Type 1
N/A
ASME B16.5/16.47 flange attached to VENT TANK (F)
N/A Seamless No RT
N/A N/A / Gasketed
C UW-11(a)(4) exempt / Type 1
N/A
ASME B16.5/16.47 flange attached to SPARE (G)
N/A Seamless No RT
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
B
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6 THICKNESS SUMMARY
Component Identifier
Material Diameter (mm)
Length (mm)
Nominal t
(mm)
Design t
(mm)
Total Corrosion
(mm)
Joint E
Load
F&D Head #1 SA-36 2,500 ID 445.62 8.4* 8.36 1.6 1.00 Internal Straight Flange on F&D Head #1 SA-36 2,500 ID 30 10 5.64 1.6 1.00 Internal Cylinder #1 SA-36 2,500 ID 2,420 10 5.64 1.6 1.00 Internal Cylinder #2 SA-36 2,500 ID 2,420 10 5.64 1.6 1.00 Internal Cylinder #3 SA-36 2,500 ID 1,800 10 5.64 1.6 1.00 Internal Cylinder #4 SA-36 2,500 ID 870 10 5.64 1.6 1.00 Internal Straight Flange on F&D Head #2 SA-36 2,500 ID 30 10 5.64 1.6 1.00 Internal F&D Head #2 SA-36 2,500 ID 445.62 8.4* 8.36 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 governs Wind: Combined longitudinal stress of pressure + weight + wind governs Seismic: Combined longitudinal stress of pressure + weight + seismic governs
B
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7 WEIGHT SUMMARY
Componen
t Weight ( kg) Contributed by Vessel Elements Surfac
e Area m2
Metal New*
Metal Corrode
d*
Insu
latio
n
Insu
latio
n Su
ppor
ts
Lin
ing
Pipi
ng
+ L
iqui
d Operating Liquid Test Liquid
New Corroded
New Corroded
F&D Head #1 406.5 330.2 0 0 0 0 1,212.6 1,220.8 1,443.5 1,453.3 6.38 Cylinder #1 1,453.4 1,221.6 0 0 0 0 10,013.4 10,039.3 11,920.7 11,951.6 18.63 Cylinder #2 1,493.3 1,255.2 0 0 0 0 9,970.9 9,996.5 11,870.1 11,900.6 19.14 Cylinder #3 1,111.8 934.5 0 0 0 0 7,415.8 7,434.8 8,828.3 8,851 14.25 Cylinder #4 537.4 451.7 0 0 0 0 3,584.3 3,593.5 4,267 4,278 6.89 F&D Head #2 406.5 330.2 0 0 0 0 1,212.6 1,220.8 1,443.5 1,453.3 6.38 Saddle #1 724.8 724.8 0 0 0 0 0 0 0 0 11.64 TOTAL: 6,133.7 5,248.1 0 0 0 0 33,409.6 33,505.7 39,773.3 39,887.7 83.3
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component Weight ( kg) Contributed by Attachments Surface Area 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 0 907.1 900.7 0 0 0 7.1 0 2.5 Cylinder #2 0 0 26.6 25.7 0 0 0 0 0 0.35 Cylinder #3 0 0 0 0 0 0 0 0 0 0 Cylinder #4 0 0 0 0 0 0 0 6.8 0 0.09 F&D Head #2
0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 933.7 926.3 0 0 0 13.9 0 2.94 Vessel operating weight, Corroded: 39,694 kg Vessel operating weight, New: 40,491 kg Vessel empty weight, Corroded: 6,188 kg Vessel empty weight, New: 7,081 kg Vessel test weight, New: 46,855 kg Vessel test weight, Corroded: 46,076 kg Vessel surface area: 86.24 m2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 7,081 kg Center of Gravity: 3,489.99 mm
B
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Vessel Capacity
Vessel Capacity** (New): 39,754 liters Vessel Capacity** (Corroded): 39,868 liters **The vessel capacity does not include volume of nozzle, piping or other attachments.
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 476.04 kPa at 28 °C (the chamber MAWP = 366.18 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
factor F&D Head #1 (1) 478.26 27.02 1 1.30 Straight Flange on F&D Head #1 478.26 27.02 1 1.30 Cylinder #1 478.26 27.02 1 1.30 Cylinder #2 478.26 27.02 1 1.30 Cylinder #3 478.26 27.02 1 1.30 Cylinder #4 478.26 27.02 1 1.30 Straight Flange on F&D Head #2 478.26 27.02 1 1.30 F&D Head #2 478.26 27.02 1 1.30 INLET (B) 453.66 2.43 1 1.30 LEVEL TRANSMITER (D) 453.66 2.43 1 1.30 MANWAY (C) 453.66 2.43 1 1.30 SPARE (E) 453.66 2.43 1 1.30 SPARE (G) 453.66 2.43 1 1.30 VACCUM (A) 453.66 2.43 1 1.30 VENT TANK (F) 453.66 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 -16.1 °C so the brittle fracture provision of UG-99(h) has been met.
B
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9 VOLUME DETERMINATION
c = Di /2 – a = 2.5/2 – 0.15 c = 1.10 m
• Depth of head ℎ = 𝑅 −�(𝑎 + 𝑐 − 𝑅)(𝑎 − 𝑐 − 𝑅)
h= 2.4-((0.15+1.10-2.4)(0.15-1.10-2.4))1/2
h=0.437 m
• Volume at Torispherical head
( )( )
−−
+−++−= −
aRhRcahRaRcahRVh
12222 sin32223π
𝑉ℎ =
𝜋3 �2 ∗ 0.437 ∗ 2.42 − (2 ∗ 0.152 + 1.12 + 2 ∗ 0.15 ∗ 2.4)(2.4− 0.437) + 3 ∗ 0.152 ∗ 1.1 ∗ sin−1 �
2.4 − 0.4372.4 − 0.15
��
Vh = 1.2975 m3
• Volume at head Straigth flange
𝑉𝑆𝐹 =𝜋𝐷𝑖2𝐿𝑆𝐹
4
VSF=(π/4)*(2.52*0.03)
VSF=0.147 m3
• Volume at Shell
𝑉𝑐 = �𝜋𝐷𝑖2
4 � ∙ 𝐿𝑠/𝑠 = �3.1416 ∗ 2.52
4 � ∙ 7.510
Vc = 36.865 m3
• Total Volume of Vessel Vt = Vc + 2 Vh+2VSF =36.865 +2*1.2975+2*0.147
Vt = 39.75 m3
Vt = 10501 gal
Dimensions Internal Diameter, Di: 2.500 m
Shell length, Ls/s: 7.510 m Crown Radius, R: 2.400 m
Knuckle Radius, a: 0.150 m
Straigth Flange, SF: 0.03 m
B
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TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
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 = 33.5 °C, (coincident ratio = 0.4843) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -40.25 °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 = 1,453.4 kg corr = 1,221.6 kg Capacity New = 11,879.15 liters corr = 11,909.58 liters ID = 2,500 mm Length Lc = 2,420 mm t = 10 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa % Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 14 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 15 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
11 CYLINDER Nº2 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 = 31.6 °C, (coincident ratio = 0.5001) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -38.35 °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 = 1,493.3 kg corr = 1,255.2 kg Capacity New = 11,879.15 liters corr = 11,909.58 liters ID = 2,500 mm Length Lc = 2,420 mm t = 10 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa % Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
B
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B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 16 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 17 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
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 = 33.5 °C, (coincident ratio = 0.4843) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -38.35 °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 = 1,111.8 kg corr = 934.5 kg Capacity New = 8,835.73 liters corr = 8,858.37 liters ID = 2,500 mm Length Lc = 1,800 mm t = 10 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa % Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 18 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 19 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
13 CYLINDER Nº4 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 = 33.5 °C, (coincident ratio = 0.4843) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -40.25 °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 = 537.4 kg corr = 451.7 kg Capacity New = 4,270.6 liters corr = 4,281.54 liters ID = 2,500 mm Length Lc = 870 mm t = 10 mm
Design thickness, (at 48.9 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa % Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 20 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 21 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
14 TORISPHERICAL HEAD Nº1 DESIGN
Component: F&D Head Material 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 = 25.1 °C, (coincident ratio = 0.5731) UCS-66 governing thickness = 8.4 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps= 22.71 kPa (SG=0.84, Hs=2759.6 mm Operating head) Pth= 27.02 kPa (SG=1, Hs=2758 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 = -33.1°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 - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 406.5 kg corr = 330.2 kg Capacity*: new = 1,444.8 liters corr = 1,454.5 liters * includes straight flange Inner diameter = 2500 mm Crown radius L = 2400 mm Knuckle radius r = 150 mm Minimum head thickness = 8.4 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) = 8.36 mm Maximum allowable working pressure (MAWP) = 347.1 kPa Maximum allowable pressure (MAP) = 455.82 kPa
M (Corroded)
= 1/4*[3 + (L / r)1/2]
M = 1/4*[3 + (2,401.6 / 151.6)1/2]
= 1.74504
B
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B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
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M (New)
= 1/4*[3 + (L / r)1/2]
M = 1/4*[3 + (2,400 / 150)1/2]
= 1.75
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
= 367.45*2,401.6*1.745 / (2*114,000*1 - 0.2*367.45) + 1.6
= 8.36 mm The head internal pressure design thickness is 8.36 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*6.8 / (2,401.6*1.745 + 0.2*6.8) - 22.71
= 347.1 kPa The maximum allowable working pressure (MAWP) is 347.1 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*8.4 / (2,400*1.75 + 0.2*8.4) - 0
= 455.82 kPa The maximum allowable pressure (MAP) is 455.82 kPa.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*10 / 155)*(1 - 155 / infinity)
= 4.8387% The extreme fiber elongation does not exceed 5%.
15 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 = 33.5 °C, (coincident ratio = 0.4843) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 23 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -40.25 °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
Circumferential joint - Full UW-11(a) Type 1 Estimated weight New = 18.5 kg corr = 15.6 kg Capacity New = 147.26 liters corr = 147.64 liters ID = 2,500 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
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa
B
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B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 24 de 66
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S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 25 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
16 TORISPHERICAL HEAD Nº2 DESIGN
Component: F&D Head Material 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 = 25.1 °C, (coincident ratio = 0.5731) UCS-66 governing thickness = 8.4 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps= 22.71 kPa (SG=0.84, Hs=2759.6 mm Operating head) Pth= 27.02 kPa (SG=1, Hs=2758 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 = -33.1°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 - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 406.5 kg corr = 330.2 kg Capacity*: new = 1,444.8 liters corr = 1,454.5 liters * includes straight flange Inner diameter = 2500 mm Crown radius L = 2400 mm Knuckle radius r = 150 mm Minimum head thickness = 8.4 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) = 8.36 mm Maximum allowable working pressure (MAWP) = 347.1 kPa Maximum allowable pressure (MAP) = 455.82 kPa
M (Corroded) = 1/4*[3 + (L / r)1/2] M = 1/4*[3 + (2,401.6 / 151.6)1/2]
= 1.74504
B
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B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
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M (New) = 1/4*[3 + (L / r)1/2] M = 1/4*[3 + (2,500 / 150)1/2]
= 1.75
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
= 367.45*2,401.6*1.745 / (2*114,000*1 - 0.2*367.45) + 1.6
= 8.36 mm The head internal pressure design thickness is 8.36 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*6.8 / (2,401.6*1.745 + 0.2*6.8) - 22.71
= 347.1 kPa The maximum allowable working pressure (MAWP) is 347.1 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*8.4 / (2,400*1.75 + 0.2*8.4) - 0
= 455.82 kPa The maximum allowable pressure (MAP) is 455.82 kPa.
% Extreme fiber elongation - UCS-79(d)
EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*10 / 155)*(1 - 155 / infinity)
= 4.8387% The extreme fiber elongation does not exceed 5%.
17 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 = 33.5 °C, (coincident ratio = 0.4843) UCS-66 governing thickness = 10 mm Internal design pressure: P = 344.74 kPa @ 48.9 °C
Static liquid head:
Ps = 22.71 kPa (SG = 0.84, Hs = 2,759.6 mm,Operating head) Pth = 27.02 kPa (SG = 1, Hs = 2,758 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 = -40.25 °C Material is not normalized
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Material is not produced to Fine Grain Practice
PWHT is not performed Radiography: Longitudinal joint - Full UW-11(a) Type 1
Circumferential joint - Full UW-11(a) Type 1 Estimated weight New = 18.5 kg corr = 15.6 kg Capacity New = 147.26 liters corr = 147.64 liters ID = 2,500 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
= 367.45*1,251.6 / (114,000*1.00 - 0.60*367.45) + 1.6
= 5.64 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 / (1,251.6 + 0.60*8.4) - 22.71
= 739.3 kPa
Maximum allowable pressure, (at 28 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)
= 114,000*1.00*10 / (1,250 + 0.60*10)
= 907.64 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 1,255)*(1 - 1,255 / infinity)
= 0.3984% The extreme fiber elongation does not exceed 5%.
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScHC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
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= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScHN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 10)
= 0.000992 B = 84.54 MPa S = 114 / 1.00 = 114 MPa ScCN = min(B, S) = 84.54 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScCC = min(B, S) = 79.56 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (1,260 / 8.4)
= 0.000833 B = 79.56 MPa S = 114 / 1.00 = 114 MPa ScVC = min(B, S) = 79.56 MPa
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18 NOZZLE DESIGN: NPS 2 (A - VACCUM, F – VENT TANK, G – SPARE)
tw(lower) = 10 mm Leg41 = 10 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on: Cylinder #1&2 Orientation: 0° End of nozzle to shell center: 1,408 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 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 mm Local vessel minimum thickness: 10 mm Liquid static head included: 2.0415 kPa Longitudinal joint efficiency: 1 ASME B16.5-2009 Flange Description: NPS 2 Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 352, ln. 31)
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Blind included: No Rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1775) (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 Solid Metal Core Flexpro Facing; 304 S.S. : Metal; Monel
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 (cm2) For P = 761.97 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 Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm)
Status
Nozzle to shell fillet (Leg41) 5 7 weld size is adequate
WRC 537 Load Case
P (kPa)
P r
(N)
Mc
(N-m
) V
c (N
)
ML
(N-m
)
VL
(N)
Mt
(N-m
)
Max Comb Stress (MPa)
Allow Comb Stress (MPa)
Max Local
Primary Stress (MPa)
Allow Local
Primary Stress (MPa)
Ove
r st
ress
ed
Load case 1
761.97 2280 228 1710 228 1710 342 226.39 342 135.10 171 No
Load case 1 (Hot Shut
Down)
0 2280 228 1710 228 1710 342 -129.02 342 -11.89 171 No
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Calculations for internal pressure 761.97 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, Rn + (tn - Cn) + (t - C))
= MAX(46.05, 23.03 + (8.74 - 1.6) + (10 - 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*(10 - 1.6), 2.5*(8.74 - 1.6) + 0)
= 17.84 mm Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 761.967*23.03 / (118,000*1 - 0.6*761.967)
= 0.15 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 761.967*1,251.6 / (114,000*1 - 0.6*761.967)
= 8.4 mm Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 761.967*1,251.6 / (114,000*1 - 0.6*761.967)
= 8.4 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 = 7.14 mm tc(min) = lesser of 6 mm or 0.7*tmin = 5 mm tc(actual) = 0.7*Leg = 0.7*10 = 7 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
= 761.967*23.03 / (118,000*1 - 0.6*761.967) + 1.6
= 1.75 mm ta UG-22 = 2.38 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.75 , 2.38 ]
= 2.38 mm tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 761.967*1,251.6 / (114,000*1 - 0.6*761.967) + 1.6
= 10 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 10 , 3.1 ]
= 10 mm tb = min[ tb3 , tb1 ]
= min[ 5.02 , 10 ]
= 5.02 mm tUG-45 = max[ ta , tb ]
= 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 = 761.97 kPa Mean shell radius: Rm = 1,255.8 mm Local shell thickness: T = 8.4 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 = Rm / T = 1,255.8 / 8.4 = 149.5036 β = 0.875*ro / Rm = 0.875*30.16 / 1,255.8 = 0.021 Pressure stress intensity factor, I = 1.1932 (derived from Division 2 Part 4.5) Local circumferential pressure stress = I*P*Ri / T =135.475 MPa Local longitudinal pressure stress = I*P*Ri / (2*T) =67.741 MPa Maximum combined stress (PL+Pb+Q) = 226.39 MPa Allowable combined stress (PL+Pb+Q) = +-3*S = +-342 MPa The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 135.1 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 Figure Y Au Al Bu Bl Cu Cl Du Dl 3C* Nφ / (P / Rm) 30.4008 0 0 0 0 -6.571 -6.571 -6.571 -6.571 4C* Nφ / (P / Rm) 28.3518 -6.129 -6.129 -6.129 -6.129 0 0 0 0 1C Mφ / P 0.2272 0 0 0 0 -
44.058 44.058 -
44.058 44.058
2C-1 Mφ / P 0.1745 -33.833 33.833 -33.833
33.833 0 0 0 0
3A* Nφ / [Mc / (Rm
2*β)] 1.6712 0 0 0 0 -1.372 -1.372 1.372 1.372
1A Mφ / [Mc / (Rm*β)]
0.1041 0 0 0 0 -76.463
76.463 76.463 -76.463
3B* Nφ / [ML / (Rm
2*β)] 7.032 -5.757 -5.757 5.757 5.757 0 0 0 0
1B-1 Mφ / [ML / (Rm*β)]
0.0622 -45.685 45.685 45.685 -45.685
0 0 0 0
Pressure stress* 135.475 135.475 135.475
135.475
113.536
113.536
113.536
113.536
Total circumferential stress 44.071 203.106 146.955
123.251
-14.927
226.114
140.743
75.932
Primary membrane circumferential stress*
123.589 123.589 135.103
135.103
105.593
105.593
108.337
108.337
3C* Nx / (P / Rm) 30.4008 -6.571 -6.571 -6.571 -6.571 0 0 0 0 4C* Nx / (P / Rm) 28.3518 0 0 0 0 -6.129 -6.129 -6.129 -6.129 1C-1 Mx / P 0.2219 -43.03 43.03 -43.03 43.03 0 0 0 0 2C Mx / P 0.1669 0 0 0 0 -
32.364 32.364 -
32.364 32.364
4A* Nx / [Mc / (Rm
2*β)] 1.3179 0 0 0 0 -1.082 -1.082 1.082 1.082
2A Mx / [Mc / 0.0606 0 0 0 0 - 44.506 44.506 -
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(Rm*β)] 44.506 44.506 4B* Nx / [ML /
(Rm2*β)]
1.7139 -1.407 -1.407 1.407 1.407 0 0 0 0
2B-1 Mx / [ML / (Rm*β)]
0.0999 -73.353 73.353 73.353 -73.353
0 0 0 0
Pressure stress* 56.771 56.771 56.771 56.771 67.741 67.741 67.741 67.741 Total longitudinal stress -67.589 165.178 81.93 21.284 -
16.341 137.399
74.836 50.552
Primary membrane longitudinal stress*
48.794 48.794 51.607 51.607 60.529 60.529 62.694 62.694
Shear from Mt 7.122 7.122 7.122 7.122 7.122 7.122 7.122 7.122 Circ shear from Vc 2.151 2.151 -2.151 -2.151 0 0 0 0 Long shear from VL 0 0 0 0 -2.151 -2.151 2.151 2.151 Total Shear stress 9.273 9.273 4.971 4.971 4.971 4.971 9.273 9.273 Combined stress (PL+Pb+Q) 113.191 205.25 147.33
4 123.492
-20.657
226.389
142.025
78.959
Note: * denotes primary stress. Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 761.97 / 1000*23.03 / (2*6.05) - 2,280 / (π*(30.162 - 23.032)) + 322,440.6*30.16 / 429,321 = 22.193 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 = (VL
2 + Vc2)0.5 / (π*Ri*tn)
= (1,7102 + 1,7102)0.5 / (π*23.03*7.14) = 4.684 MPa σtorsion = Mt / (2*π*Ri
2*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 (cm2) For P = 907.59 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
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UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary Weld description Required weld
throat size (mm) Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 7 weld size is adequate
Calculations for internal pressure 907.59 kPa @ 28 °C
Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(42.85, 21.42 + (8.74 - 0) + (10 - 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*(10 - 0), 2.5*(8.74 - 0) + 0)
= 21.84 mm Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 907.5892*21.42 / (118,000*1 - 0.6*907.5892)
= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892)
= 10 mm Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892)
= 10 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 = 8.74 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*10 = 7 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
= 907.5892*21.42 / (118,000*1 - 0.6*907.5892) + 0
= 0.17 mm ta UG-22 = 0.98 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.17 , 0.98 ]
= 0.98 mm tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892) + 0
= 10 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 10 , 1.5 ]
= 10 mm tb = min[ tb3 , tb1 ]
= min[ 3.42 , 10 ]
= 3.42 mm tUG-45 = max[ ta , tb ]
= 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.
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19 NOZZLE DESIGN: NPS 3 (B – INLET, D – LEVEL TRANSMITTER, E - SPARE)
tw(lower) = 10 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: 1,408 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 3 Sch 80 (XS) DN 80
Inside diameter, new: 73.66 mm Nominal wall thickness: 7.62 mm Corrosion allowance: 1.6 mm Projection available outside vessel, Lpr: 78.15 mm Projection available outside vessel to flange face, Lf: 148 mm Local vessel minimum thickness: 10 mm Liquid static head included: 2.0415 kPa Longitudinal joint efficiency: 1 ASME B16.5-2009 Flange Description: NPS 3 Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 352, ln. 31)
Blind included: No Rated MDMT: -48°C
B
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(UCS-66(b)(3): Coincident ratio = 0.1775) (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 Solid Metal Core Flexpro Facing; 304 S.S. : Metal; Monel
PWHT performed: No Circumferential joint radiography: Full UW-11(a) Type 1
Reinforcement Calculations for MAWP
Local stresses at the nozzle OD per WRC 537 govern the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 745.87 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) 6.4 6.67
UG-41 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary Weld description Required weld
throat size (mm) Actual weld
throat size (mm) Status
Nozzle to shell fillet (Leg41) 4.21 5.6 weld size is adequate
WRC 537 Load Case
P (kPa)
P r
(N)
Mc
(N-m
) V
c (N
)
ML
(N-m
) V
L
(N)
Mt
(N-m
)
Max Comb Stress (MPa)
Allow Comb Stress (MPa
)
Max Local
Primary
Stress (MPa)
Allow Local
Primary
Stress (MPa)
Ove
r st
ress
ed
Load case 1
745.87 3420 513 2565 513 2565 770 267.30 342 170.99 171 No
Load case 1 (Hot Shut
Down)
0 3420 513 2565 513 2565 770 -180.27 342 -21.19 171 No
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Calculations for internal pressure 745.87 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 = 0.1564). External nozzle loadings per UG-22 govern the coincident ratio used. Nozzle UCS-66 governing thk: 6.67 mm Nozzle rated MDMT: -105 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(76.86, 38.43 + (7.62 - 1.6) + (10 - 1.6))
= 76.86 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(10 - 1.6), 2.5*(7.62 - 1.6) + 0)
= 15.05 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 745.8726*38.43 / (118,000*1 - 0.6*745.8726)
= 0.24 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 745.8726*1,251.6 / (114,000*1 - 0.6*745.8726)
= 8.22 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 745.8726*1,251.6 / (114,000*1 - 0.6*745.8726)
= 8.22 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 = 6.02 mm tc(min) = lesser of 6 mm or 0.7*tmin = 4.21 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
= 745.8726*38.43 / (118,000*1 - 0.6*745.8726) + 1.6
= 1.84 mm ta UG-22 = 2.39 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.84 , 2.39 ]
= 2.39 mm tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 745.8726*1,251.6 / (114,000*1 - 0.6*745.8726) + 1.6
= 9.82 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 9.82 , 3.1 ]
= 9.82 mm tb = min[ tb3 , tb1 ]
= min[ 6.4 , 9.82 ]
= 6.4 mm tUG-45 = max[ ta , tb ]
= max[ 2.39 , 6.4 ]
= 6.4 mm Available nozzle wall thickness new, tn = 0.875*7.62 = 6.67 mm The nozzle neck thickness is adequate. WRC 537 Load case 1 Applied Loads
Radial load: Pr = 3,420 N Circumferential moment: Mc = 513 N-m Circumferential shear: Vc = 2,565 N Longitudinal moment: ML = 513 N-m Longitudinal shear: VL = 2,565 N Torsion moment: Mt = 770 N-m Internal pressure: P = 745.87 kPa Mean shell radius: Rm = 1,255.8 mm Local shell thickness: T = 8.4 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 = Rm / T = 1,255.8 / 8.4 = 149.5036 β = 0.875*ro / Rm = 0.875*44.45 / 1,255.8 = 0.031 Pressure stress intensity factor, I = 1.5071 (derived from Division 2 Part 4.5) Local circumferential pressure stress = I*P*Ri / T =167.494 MPa Local longitudinal pressure stress = I*P*Ri / (2*T) =83.751 MPa Maximum combined stress (PL+Pb+Q) = 267.3 MPa Allowable combined stress (PL+Pb+Q) = +-3*S = +-342 MPa The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 170.99 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 Figure Y Au Al Bu Bl Cu Cl Du Dl 3C* Nφ / (P / Rm) 27.056 0 0 0 0 -8.77 -8.77 -8.77 -8.77 4C* Nφ / (P / Rm) 27.277 -8.846 -8.846 -8.846 -8.846 0 0 0 0 1C Mφ / P 0.184 0 0 0 0 -53.579 53.579 -53.579 53.579 2C-1 Mφ / P 0.137 -39.914 39.914 -39.914 39.914 0 0 0 0 3A* Nφ / [Mc /
(Rm2*β)]
2.573 0 0 0 0 -3.22 -3.22 3.22 3.22
1A Mφ / [Mc / (Rm*β)]
0.102 0 0 0 0 -114.274 114.27 114.27 -114.27
3B* Nφ / [ML / (Rm
2*β)] 9.87 -12.342 -12.342 12.342 12.342 0 0 0 0
1B-1 Mφ / [ML / (Rm*β)]
0.059 -66.3 66.3 66.3 -66.3 0 0 0 0
Pressure stress* 167.49 167.49 167.49 167.49 111.14 111.14 111.14 111.14 Total circumferential stress 40.09 252.52 197.38 144.60 -68.706 266.99 166.28 44.89 Primary membrane circumferential stress*
146.31 146.31 170.99 170.99 99.15 99.15 105.59 105.59
3C* Nx / (P / Rm) 27.056 -8.77 -8.77 -8.77 -8.77 0 0 0 0 4C* Nx / (P / Rm) 27.277 0 0 0 0 -8.846 -8.846 -8.846 -8.846 1C-1 Mx / P 0.185 -53.779 53.78 -53.779 53.779 0 0 0 0 2C Mx / P 0.135 0 0 0 0 -39.224 39.224 -39.224 39.224 4A* Nx / [Mc /
(Rm2*β)]
2.134 0 0 0 0 -2.668 -2.668 2.668 2.668
2A Mx / [Mc / (Rm*β)]
0.059 0 0 0 0 -66.093 66.093 66.093 -66.093
4B* Nx / [ML / (Rm
2*β)] 2.629 -3.289 -3.289 3.289 3.289 0 0 0 0
2B-1 Mx / [ML / 0.092 -103.26 103.26 103.26 -103.26 0 0 0 0
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(Rm*β)] Pressure stress* 55.572 55.572 55.572 55.572 83.751 83.751 83.751 83.751 Total longitudinal stress -113.522 200.55 99.567 0.614 -33.081 177.55 104.44 50.704 Primary membrane longitudinal stress*
43.513 43.513 50.09 50.09 72.236 72.236 77.573 77.573
Shear from Mt 7.384 7.384 7.384 7.384 7.384 7.384 7.384 7.384 Circ shear from Vc 2.186 2.186 -2.186 -2.186 0 0 0 0 Long shear from VL 0 0 0 0 -2.186 -2.186 2.186 2.186 Total Shear stress 9.57 9.57 5.199 5.199 5.199 5.199 9.57 9.57 Combined stress (PL+Pb+Q) 154.80 254.22 197.65 144.79 -69.45 267.30 167.73 57.8
Note: * denotes primary stress. Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 745.87 / 1000*38.43 / (2*5.07) - 3,420 / (π*(44.452 - 38.432)) + 725,491.4*44.45 / 1,352,943 = 24.482 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 = (VL
2 + Vc2)0.5 / (π*Ri*tn)
= (2,5652 + 2,5652)0.5 / (π*38.43*6.02) = 4.991 MPa σtorsion = Mt / (2*π*Ri
2*tn) = 770 / (2*π*38.432*6.02) = 13.784 MPa σtotal = σshear + σtorsion = 4.991 + 13.784 = 18.775 MPa UG-45: The total combined shear stress (18.775 MPa) ≤ allowable (0.7*Sn = 0.7*118 = 82.6 MPa)
Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 907.59 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) 4.8 6.67
UG-41 Weld Failure Path Analysis Summary The nozzle is exempt from weld strength calculations per UW-15(b)(2)
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UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm)
Status
Nozzle to shell fillet (Leg41) 5.33 5.6 weld size is adequate
Calculations for internal pressure 907.59 kPa @ 28 °C Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(73.66, 36.83 + (7.62 - 0) + (10 - 0))
= 73.66 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(10 - 0), 2.5*(7.62 - 0) + 0)
= 19.05 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 907.5892*36.83 / (118,000*1 - 0.6*907.5892)
= 0.28 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892)
= 10 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892)
= 10 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 = 7.62 mm tc(min) = lesser of 6 mm or 0.7*tmin = 5.33 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
= 907.5892*36.83 / (118,000*1 - 0.6*907.5892) + 0
= 0.28 mm ta UG-22 = 0.99 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.28 , 0.99 ]
= 0.99 mm tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 907.5892*1,250 / (114,000*1 - 0.6*907.5892) + 0
= 10 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 10 , 1.5 ]
= 10 mm tb = min[ tb3 , tb1 ]
= min[ 4.8 , 10 ]
= 4.8 mm tUG-45 = max[ ta , tb ]
= max[ 0.99 , 4.8 ]
= 4.8 mm Available nozzle wall thickness new, tn = 0.875*7.62 = 6.67 mm The nozzle neck thickness is adequate.
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20 NOZZLE DESIGN: NPS 32 (C – MANWAY)
tw(lower) = 10 mm Leg41 = 8 mm tw(upper) = 8 mm Leg42 = 8 mm Dp = 1,112.8 mm te = 8 mm
Note: round inside edges per UG-76(c) Location and Orientation Located on: Cylinder #1 Orientation: 0° Nozzle center line offset to datum line: 1,700 mm End of nozzle to shell center: 1,508 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: 792.8 mm Nominal wall thickness: 10 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: 10 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: 1,112.8 mm Is split: No ASME B16.47-2011 Flange Description: NPS 32 Class 150 WN A105 Series A
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Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 352, ln. 31)
Blind included: Yes Rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1771) (Flange rated MDMT = -105 °C Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head: 0 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 Solid Metal Core Flexpro Facing; 304 S.S. : Metal; Monel
PWHT performed: No Circumferential joint radiography: Full UW-11(a) Type 1
Reinforcement Calculations for MAWP Available reinforcement per UG-37 governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 541.22 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
47.4344 47.4406 19.4283 2.7323 -- 24 1.28 3.5 10
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
323,944 319,340 1,628,100 54,531 2,336,909 335,427 1,685,848
UW-16 Weld Sizing Summary Weld 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 541.22 kPa @ 48.9 °C Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1504). Pad impact test exemption temperature from Fig UCS-66M Curve A = -8 °C Fig UCS-66.1M MDMT reduction = 37.5 °C, (coincident ratio = 0.4572).
Nozzle UCS-66 governing thk: 10 mm
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Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 8 mm Pad rated MDMT: -45.5 °C
Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(796, 398 + (10 - 1.6) + (10 - 1.6))
= 796 mm Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(10 - 1.6), 2.5*(10 - 1.6) + 8)
= 21 mm Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 541.2239*398 / (114,000*1 - 0.6*541.2239)
= 1.89 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 541.2239*1,251.6 / (114,000*1 - 0.6*541.2239)
= 5.96 mm Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 541.2239*1,251.6 / (114,000*1 - 0.6*541.2239)
= 5.96 mm
Area required per UG-37(c) Allowable stresses: Sn = 114, Sv = 114, Sp = 114 MPa fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (796*5.96*1 + 2*8.4*5.96*1*(1 - 1)) / 100
= 47.4344 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 19.4283 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (796*(1*8.4 - 1*5.96) - 2*8.4*(1*8.4 - 1*5.96)*(1 - 1)) / 100
= 19.4283 cm2
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= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*(8.4 + 8.4)*(1*8.4 - 1*5.96) - 2*8.4*(1*8.4 - 1*5.96)*(1 - 1)) / 100
= 0.82 cm2 A2 = smaller of the following= 2.7323 cm2
= 5*(tn - trn)*fr2*t
= (5*(8.4 - 1.89)*1*8.4) / 100
= 2.7323 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2
= (2*(8.4 - 1.89)*(2.5*8.4 + 8)*1) / 100
= 3.7729 cm2 A41 = Leg2*fr3
= (82*1) / 100
= 0.64 cm2 A42 = Leg2*fr4
= (82*1) / 100
= 0.64 cm2 A5 = (Dp - d - 2*tn)*te*fr4
= ((1,112.8 - 796 - 2*8.4)*8*1) / 100
= 24 cm2 Area = A1 + A2 + A41 + A42 + A5
= 19.4283 + 2.7323 + 0.64 + 0.64 + 24
= 47.4406 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 (Access Opening)
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 541.2239*398 / (114,000*1 - 0.6*541.2239) + 1.6
= 3.5 mm
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ta = max[ ta UG-27 , ta UG-22 ]
= max[ 3.5 , 0 ]
= 3.5 mm Available nozzle wall thickness new, tn = 10 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*114 = 79.8 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)*812.8*8*55.86 = 570,551.1 N (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*1,112.8*8*55.86 = 781,138.36 N (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*804.4*8.4*79.8 = 846,962.02 N (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*812.8*8.4*84.36 = 904,709.48 N (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*812.8*8*84.36 = 861,648.6 N
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4,743.4412 - 1,942.8348 + 2*8.4*1*(1*8.4 - 1*5.96))*114
= 323,943.5 N W1-1 = (A2 + A5 + A41 + A42)*Sv
= (273.2253 + 2,400 + 63.9999 + 63.9999)*114
= 319,339.69 N W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (273.2253 + 0 + 63.9999 + 0 + 2*8.4*8.4*1)*114
= 54,530.59 N
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W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (273.2253 + 0 + 2,400 + 63.9999 + 63.9999 + 0 + 2*8.4*8.4*1)*114
= 335,426.61 N Load for path 1-1 lesser of W or W1-1 = 319,339.69 N Path 1-1 through (2) & (3) = 781,138.36 + 846,962.02 = 1,628,100.39 N Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 54,530.59 N Path 2-2 through (1), (4), (6) = 570,551.1 + 904,709.48 + 861,648.6 = 2,336,909.18 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 = 323,943.5 N Path 3-3 through (2), (4) = 781,138.36 + 904,709.48 = 1,685,847.85 N Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*10 / 401.4)*(1 - 401.4 / infinity)
= 1.2456% The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 621.88 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
54.2373 54.238 25.0425 3.9155 -- 24 1.28 2.17 10
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
340,023 332,828 1,787,445 74,732 2,509,260 355,628 1,858,199
UW-16 Weld Sizing Summary Weld 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
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Calculations for internal pressure 621.88 kPa @ 28 °C Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(792.8, 396.4 + (10 - 0) + (10 - 0))
= 792.8 mm Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(10 - 0), 2.5*(10 - 0) + 8)
= 25 mm Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)
= 621.8793*396.4 / (114,000*1 - 0.6*621.8793)
= 2.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 621.8793*1,250 / (114,000*1 - 0.6*621.8793)
= 6.84 mm Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)
= 621.8793*1,250 / (114,000*1 - 0.6*621.8793)
= 6.84 mm
Area required per UG-37(c) Allowable stresses: Sn = 114, Sv = 114, Sp = 114 MPa fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (792.8*6.84*1 + 2*10*6.84*1*(1 - 1)) / 100
= 54.2373 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 25.0425 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (792.8*(1*10 - 1*6.84) - 2*10*(1*10 - 1*6.84)*(1 - 1)) / 100
= 25.0425 cm2
B
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= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*(10 + 10)*(1*10 - 1*6.84) - 2*10*(1*10 - 1*6.84)*(1 - 1)) / 100
= 1.2632 cm2 A2 = smaller of the following= 3.9155 cm2
= 5*(tn - trn)*fr2*t
= (5*(10 - 2.17)*1*10) / 100
= 3.9155 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2
= (2*(10 - 2.17)*(2.5*10 + 8)*1) / 100
= 5.1684 cm2 A41 = Leg2*fr3
= (82*1) / 100
= 0.64 cm2 A42 = Leg2*fr4
= (82*1) / 100
= 0.64 cm2 A5 = (Dp - d - 2*tn)*te*fr4
= ((1,112.8 - 792.8 - 2*10)*8*1) / 100
= 24 cm2 Area = A1 + A2 + A41 + A42 + A5
= 25.0425 + 3.9155 + 0.64 + 0.64 + 24
= 54.238 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 (Access Opening)
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 621.8793*396.4 / (114,000*1 - 0.6*621.8793) + 0
= 2.17 mm
B
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ta = max[ ta UG-27 , ta UG-22 ]
= max[ 2.17 , 0 ]
= 2.17 mm Available nozzle wall thickness new, tn = 10 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*114 = 79.8 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)*812.8*8*55.86 = 570,551.1 N (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*1,112.8*8*55.86 = 781,138.36 N (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*802.8*10*79.8 = 1,006,306.29 N (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*812.8*10*84.36 = 1,077,060.74 N (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*812.8*8*84.36 = 861,648.6 N
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (5,423.7319 - 2,504.2531 + 2*10*1*(1*10 - 1*6.84))*114
= 340,022.61 N W1-1 = (A2 + A5 + A41 + A42)*Sv
= (391.5476 + 2,400 + 63.9999 + 63.9999)*114
= 332,828.44 N W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (391.5476 + 0 + 63.9999 + 0 + 2*10*10*1)*114
= 74,732.42 N
B
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W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (391.5476 + 0 + 2,400 + 63.9999 + 63.9999 + 0 + 2*10*10*1)*114
= 355,628.44 N Load for path 1-1 lesser of W or W1-1 = 332,828.44 N Path 1-1 through (2) & (3) = 781,138.36 + 1,006,306.29 = 1,787,444.65 N Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 74,732.42 N Path 2-2 through (1), (4), (6) = 570,551.1 + 1,077,060.74 + 861,648.6 = 2,509,260.44 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 = 340,022.61 N Path 3-3 through (2), (4) = 781,138.36 + 1,077,060.74 = 1,858,199.11 N Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
21 SUPPORT DESIGN Saddles. Saddle material: SA-36 Saddle construction is: Centered web Saddle allowable stress: Ss = 114 MPa Saddle yield stress: Sy = 250 MPa Saddle distance to datum: 6,100 mm Tangent to tangent length: L = 7,600 mm Saddle separation: Ls = 4,660 mm Vessel radius: R = 1,260 mm Tangent distance left: Al = 1,470 mm Tangent distance right: Ar = 1,440 mm Saddle height: Hs = 1,500 mm Saddle contact angle: θ = 157 ° Wear plate thickness: tp = 8 mm Wear plate width: Wp = 410 mm Wear plate contact angle: θw = 169 ° Web plate thickness: ts = 12 mm Base plate length: E = 2,600 mm Base plate width: F = 275 mm Base plate thickness: tb = 15 mm Number of stiffener ribs: n = 5 Largest stiffener rib spacing: di = 697 mm Stiffener rib thickness: tw = 12 mm Saddle width: b = 230 mm Anchor bolt size & type: 27 mm
B
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Anchor bolt material: A307 Anchor bolt allowable shear: 103.421 MPa Anchor bolt corrosion allowance: 0 mm Anchor bolts per saddle: 2 Base coefficient of friction: µ = 0.45 Weight on left saddle: operating corr = 19,994.81 kg, test new = 23,626.27 kg Weight on right saddle: operating corr = 18,974.22 kg, test new = 22,503.63 kg Weight of saddle pair = 724.84 kg Notes: (1) Saddle calculations are based on the method presented in "Stresses in Large Cylindrical Pressure Vessels on Two Saddle Supports" by L.P. Zick. Seismic base shear on vessel Vessel is assumed to be a rigid structure. Method of seismic analysis: CPE INEN 5: 2001 Vertical seismic accelerations considered: Yes Importance factor: Ie = 1 Site Class: D Short period spectral response acceleration: Ss = 75 percent of g From Table 11.4-1: Fa = 1.2 SMS = Fa*Ss = 1.2*0.75 = 0.9 SDS = (2 / 3)*SMS = 0.6 Fp = 0.3*SDS*W*Ie*0.7 = 0.3*0.6*382,155.65*1*0.7 = 48,151.61 N Saddle reactions due to weight + seismic Vv = vertical seismic force acting on right saddle V = horizontal seismic shear acting on right saddle (worst case if not slotted) Seismic longitudinal reaction, Ql (right saddle): Ql = V*Hs / Ls + 0.14*SDS*W = 48,151.6*1,500 / 4,660 + 0.14*0.6*186,073.57 = 31,129.63 N Seismic transverse reaction, Qt (right saddle): Qt = V*Hs / (Ro*Sin( θ / 2 )) + 0.14*SDS*W = 23,445.29*1,500 / (1,260*Sin( 157 / 2 )) + 0.14*0.6*186,073.57 = 44,113.02 N
B
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Q = Weight on saddle + larger of Qt or Ql Q = W + Qt = 186,073.57 + 44,113.02 = 230,186.59 N Vv = vertical seismic force acting on left saddle V = horizontal seismic shear acting on left saddle (worst case if not slotted) Seismic longitudinal reaction, Ql (left saddle): Ql = V*Hs / Ls + 0.14*SDS*W = 48,151.6*1,500 / 4,660 + 0.14*0.6*196,082.07 = 31,970.34 N Seismic transverse reaction, Qt (left saddle): Qt = V*Hs / (Ro*Sin( θ / 2 )) + 0.14*SDS*W = 24,706.36*1,500 / (1,260*Sin( 157 / 2 )) + 0.14*0.6*196,082.07 = 46,485.76 N Q = Weight on saddle + larger of Qt or Ql Q = W + Qt = 196,082.07 + 46,485.76 = 242,567.84 N
Load Vessel condition
Bending + pressure between saddles (MPa)
Bending + pressure at the saddle (MPa)
S1 (+)
allow (+)
S1 (-)
allow (-)
S2 (+)
allow (+)
S2 (-)
allow (-)
Seismic Operating 29.764 136.8 2.212 95.471 35.691 136.8 8.139 95.471 Weight Test 31.674 223.2 1.783 79.559 37.367 223.2 7.476 79.559
Load Vessel condition
Tangential shear (MPa)
Circumferential stress (MPa)
Stress over saddle (MPa)
Splitting (MPa)
S3 allow S4 (horns)
S4 (Wear plate)
allow (+/-)
S5 allow S6 allow
Seismic Operating 10.69 91.2 -109.235 -169.053 171 41.265 121.5 11.246 76 Weight Test 7.862 178.56 -86.079 -115.705 223.2 34.357 223.2 10.742 225
Load Case 1: Seismic ,Operating Longitudinal stress between saddles (Seismic ,Operating, right saddle loading and geometry govern) S1 = +- 3*K1*Q*(L / 12) / (π*R2*t) = 3*0.2113*230,186.59*(7,570 / 12) / (π*1,255.82*8.4) = 2.212 MPa Sp = P*R / (2*t) = 0.37*1,251.6 / (2*8.4) = 27.552 MPa
B
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Maximum tensile stress S1t = S1 + Sp = 29.764 MPa Maximum compressive stress (shut down) S1c = S1 = 2.212 MPa Tensile stress is acceptable (<=1.2*S*E = 136.8 MPa) Compressive stress is acceptable (<=1.2*Sc = 95.471 MPa) Longitudinal stress at the left saddle (Seismic ,Operating) Le = 2*(Left head depth) / 3 + L + 2*(Right head depth) / 3 = 2*445.62 / 3 + 7,570 + 2*445.62 / 3 = 8,164.16 mm Seismic vertical acceleration coefficient m = 0.6667*0.126 = 0.084 w = Wt*(1 + m)*10 / Le = 382,155.65*(1 + 0.084)*10 / 8,164.16 = 507.41 N/cm Bending moment at the left saddle: Mq = w*(2*H*Al / 3 + Al
2 / 2 - (R2 - H2) / 4) = 507.41 / 10000*(2*445.62*1,470 / 3 + 1,4702 / 2 - (1,2602 - 445.622) / 4) = 59,361.9 N-m S2 = +- Mq*K1' / (π*R2*t) = 59,361.9*1e3*5.7061 / (π*1,255.82*8.4) = 8.139 MPa Sp = P*R / (2*t) = 0.37*1,251.6 / (2*8.4) = 27.552 MPa Maximum tensile stress S2t = S2 + Sp = 35.691 MPa Maximum compressive stress (shut down) S2c = S2 = 8.139 MPa Tensile stress is acceptable (<=1.2*S = 136.8 MPa) Compressive stress is acceptable (<=1.2*Sc = 95.471 MPa) Tangential shear stress in the shell (left saddle, Seismic ,Operating) Qshear = Q - w*(a + 2*H / 3) = 242,567.84 - 50.74*(1,470 + 2*445.62 / 3) = 152,904.6 N S3 = K2.2*Qshear / (R*t) = 0.7375*152,904.6 / (1,255.8*8.4) = 10.69 MPa Tangential shear stress is acceptable (<= 0.8*S = 91.2 MPa)
B
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Circumferential stress at the left saddle horns (Seismic ,Operating) S4 = -Q / (4*(t+tp)*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*(t2+tp
2)) = -242,567.84 / (4*(8.4+8)*(230+1.56*Sqr(1,260*8.4))) - 12*0.0278*242,567.84*1,255.8 / (7,570*(8.42+82)) = -109.235 MPa Circumferential stress at saddle horns is acceptable (<=1.5*Sa = 171 MPa) Circumferential stress at the left saddle wear plate horns (Seismic ,Operating) S4 = -Q / (4*t*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*t2) = -242,567.84 / (4*8.4*(230+1.56*Sqr(1,260*8.4))) - 12*0.022*242,567.84*1,255.8 / (7,570*8.42) = -169.053 MPa Circumferential stress at wear plate horns is acceptable (<=1.5*Sa = 171 MPa) Ring compression in shell over left saddle (Seismic ,Operating) S5 = K5*Q / ((t + tp)*(ts + 1.56*Sqr(Ro*tc))) = 0.6591*242,567.84 / ((8.4 + 8)*(12 + 1.56*Sqr(1,260*16.4))) = 41.265 MPa Ring compression in shell is acceptable (<= 0.5*Sy = 121.5 MPa) Saddle splitting load (left, Seismic ,Operating) Area resisting splitting force = Web area + wear plate area Ae = Heff*ts + tp*Wp = 21.7*1.2 + 0.8*41 = 58.84 cm2 S6 = K8*Q / Ae = 0.2728*242,567.84 / 5,884 = 11.246 MPa Stress in saddle is acceptable (<= (2 / 3)*Ss = 76 MPa) Load Case 2: Weight ,Test Longitudinal stress between saddles (Weight ,Test, right saddle loading and geometry govern) S1 = +- 3*K1*Q*(L / 12) / (π*R2*t) = 3*0.2113*220,685.19*(7,570 / 12) / (π*1,2552*10) = 1.783 MPa Sp = P*R / (2*t) = 0.48*1,250 / (2*10) = 29.891 MPa
B
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Maximum tensile stress S1t = S1 + Sp = 31.674 MPa Maximum compressive stress (shut down) S1c = S1 = 1.783 MPa Tensile stress is acceptable (<= 0.9*Sy = 223.2 MPa) Compressive stress is acceptable (<=1*Sc = 79.559 MPa) Longitudinal stress at the left saddle (Weight ,Test) Le = 2*(Left head depth) / 3 + L + 2*(Right head depth) / 3 = 2*445.62 / 3 + 7,570 + 2*445.62 / 3 = 8,164.16 mm w = Wt / Le = 452,379.73*10 / 8,164.16 = 554.1 N/cm Bending moment at the left saddle: Mq = w*(2*H*Al / 3 + Al
2 / 2 - (R2 - H2) / 4) = 554.1 / 10000*(2*445.62*1,470 / 3 + 1,4702 / 2 - (1,2602 - 445.622) / 4) = 64,824.8 N-m S2 = +- Mq*K1' / (π*R2*t) = 64,824.8*1e3*5.7061 / (π*1,2552*10) = 7.476 MPa Sp = P*R / (2*t) = 0.48*1,250 / (2*10) = 29.891 MPa Maximum tensile stress S2t = S2 + Sp = 37.367 MPa Maximum compressive stress (shut down) S2c = S2 = 7.476 MPa Tensile stress is acceptable (<= 0.9*Sy = 223.2 MPa) Compressive stress is acceptable (<=1*Sc = 79.559 MPa) Tangential shear stress in the shell (left saddle, Weight ,Test) Qshear = Q - w*(a + 2*H / 3) = 231,694.54 - 55.41*(1,470 + 2*445.62 / 3) = 133,779.82 N S3 = K2.2*Qshear / (R*t) = 0.7375*133,779.82 / (1,255*10) = 7.862 MPa Tangential shear stress is acceptable (<= 0.8*(0.9*Sy) = 178.56 MPa) Circumferential stress at the left saddle horns (Weight ,Test) S4 = -Q / (4*(t+tp)*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*(t2+tp
2))
B
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= -231,694.54 / (4*(10+8)*(230+1.56*Sqr(1,260*10))) - 12*0.0278*231,694.54*1,255 / (7,570*(102+82)) = -86.079 MPa Circumferential stress at saddle horns is acceptable (<= 0.9*Sy = 223.2 MPa) Circumferential stress at the left saddle wear plate horns (Weight ,Test) S4 = -Q / (4*t*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*t2) = -231,694.54 / (4*10*(230+1.56*Sqr(1,260*10))) - 12*0.022*231,694.54*1,255 / (7,570*102) = -115.705 MPa Circumferential stress at wear plate horns is acceptable (<= 0.9*Sy = 223.2 MPa) Ring compression in shell over left saddle (Weight ,Test) S5 = K5*Q / ((t + tp)*(ts + 1.56*Sqr(Ro*tc))) = 0.6591*231,694.54 / ((10 + 8)*(12 + 1.56*Sqr(1,260*18))) = 34.357 MPa Ring compression in shell is acceptable (<= 0.9*Sy = 223.2 MPa) Saddle splitting load (left, Weight ,Test) Area resisting splitting force = Web area + wear plate area Ae = Heff*ts + tp*Wp = 21.7*1.2 + 0.8*41 = 58.84 cm2 S6 = K8*Q / Ae = 0.2728*231,694.54 / 5,884 = 10.742 MPa Stress in saddle is acceptable (<= 0.9*Sy = 225 MPa) Shear stress in anchor bolting, one end slotted Maximum seismic or wind base shear = 48,151.61 N Thermal expansion base shear = W*µ = 199,636.2*0.45 = 89,836.29 N Corroded root area for a 27 mm bolt = 4.4303 cm2 ( 2 per saddle ) Bolt shear stress = 89,836.29 / (443.0314*1*2) = 101.388 MPa Anchor bolt stress is acceptable (<= 103.421 MPa)
B
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Shear stress in anchor bolting, transverse Maximum seismic or wind base shear = 48,151.61 N Corroded root area for a 27 mm bolt = 4.4303 cm2 ( 2 per saddle ) Bolt shear stress = 48,151.61 / (443.0314*2*2) = 27.172 MPa Anchor bolt stress is acceptable (<= 103.421 MPa) Web plate buckling check (Escoe pg 251) Allowable compressive stress Sc is the lesser of 114 or 68.565 MPa: (68.565) Sc = Ki*π2*E / (12*(1 - 0.32)*(di / ts)2) = 1.28*π2*199.95E+03 / (12*(1 - 0.32)*(697 / 12)2) = 68.565 MPa Allowable compressive load on the saddle be = di*ts / (di*ts + 2*tw*(b - 25.4))*25.4 = 697*12 / (697*12 + 2*12*(230 - 25.4))*25.4 = 16 Fb = n*(As + 2*be*ts)*Sc = 5*(2,616 + 2*16*12)*68.565 = 1,028,505.78 N Saddle loading of 246,121.97 N is <= Fb; satisfactory. Primary bending + axial stress in the saddle due to end loads (assumes one saddle slotted) σb = V*(Hs - xo)*y / I + Q / A = 48,151.61*(1,500 - 901.19)*115 / (1e4*6,092.14) + 242,567.84 / 42,712.92 = 60.108 MPa The primary bending + axial stress in the saddle <= 114 MPa; satisfactory. Secondary bending + axial stress in the saddle due to end loads (includes thermal expansion, assumes one saddle slotted) σb = V*(Hs - xo)*y / I + Q / A = 137,987.9*(1,500 - 901.19)*115 / (1e4*6,092.14) + 242,567.84 / 42,712.92 = 161.655 MPa The secondary bending + axial stress in the saddle < 2*Sy= 500 MPa; satisfactory. Saddle base plate thickness check (Roark sixth edition, Table 26, case 7a) where a = 697, b = 131.5 mm
B
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tb = (β1*q*b2 / (1.5*Sa))0.5 = (3*0.344*131.52 / (1.5*114))0.5 = 10.22 mm The base plate thickness of 15 mm is adequate. Foundation bearing check Sf = Qmax / (F*E) = 246,121.97 / (275*2,600) = 0.344 MPa Concrete bearing stress ≤ 11.432 MPa ; satisfactory.
22 LIFTING LUG DESIGN
Geometry Inputs
Attached To Cylinder #1 Material A36 Orientation Longitudinal Distance of Lift Point From Datum 160 mm Angular Position 0.00° Length of Lug, L 240 mm Height of Lug, H 150 mm Thickness of Lug, t 20 mm Hole Diameter, d 30 mm Pin Diameter, Dp 28.1 mm Load Eccentricity, a1 0 mm Distance from Load to Shell or Pad, a2 75 mm Weld Size, tw 8 mm Width of Pad, Bp 60 mm Length of Pad, Lp 265 mm Pad Thickness, tp 10 mm Pad Weld Size, twp 8 mm Load Angle Normal to Vessel, β 45.0000 ° Load Angle from Vertical, φ 45.0000 °
B
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Intermediate Values
Load Factor 1.5000 Vessel Weight (new, incl. Load Factor), W 10622 kg Lug Weight (new), Wlug 7 kg Distance from Center of Gravity to this lug, x1 3,329.99 mm Distance from Center of Gravity to second lug, x2 3,860.01 mm Allowable Stress, Tensile, σt 137.757 MPa Allowable Stress, Shear, σs 91.838 MPa Allowable Stress, Bearing, σp 206.636 MPa Allowable Stress, Bending, σb 153.071 MPa Allowable Stress, Weld Shear, τallowable 91.838 MPa Allowable Stress set to 1/3 Sy per ASME B30.20 No
Summary Values
Required Lift Pin Diameter, dreqd 23.41 mm Required Lug Thickness, treqd 13.62 mm Lug Stress Ratio, σratio 0.23 Weld Shear Stress Ratio, τratio 0.58 Lug Design Acceptable
Lift Forces
Fr = force on vessel at lug Fr = [W / cos(φ1)]*(1 - x1 / (x1 + x2))
= (10,621.8*9.8) / cos(45.0000)*(1 - 3,329.99/ (3,329.99 + 3,860.01))
= 79,085 N where 'x1' is the distance between this lug and the center of gravity
'x2' is the distance between the second lift lug and the center of gravity
Lug Pin Diameter - Shear stress
dreqd = (2*Fr / (π*σs))0.5
= (2*79,085 / (π*91.84))0.5 = 23.41 mm dreqd / Dp = 23.41 / 28.1 = 0.83 Acceptable σ = Fr / A
= Fr / (2*(0.25*π*Dp2))
= 79,085 / (2*(0.25*π*28.12)) = 63.76 MPa σ / σs = 63.76 / 91.84 = 0.69 Acceptable
Lug Thickness - Tensile stress
treqd = Fr / ((L - d)*σt)
= 79,085 / ((240 - 30)*137.76) = 2.73 mm treqd / t = 2.73 / 20 = 0.14 Acceptable
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 64 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
σ = Fr / A
= Fr / ((L - d)*t)
= 79,085 / ((240 - 30)*20) = 18.83 MPa σ / σt = 18.83 / 137.76 = 0.14 Acceptable
Lug Thickness - Bearing stress
treqd = Fv / (Dp*σp) = 79,085 / (28.1*206.64) = 13.62 mm treqd / t = 13.62 / 20 = 0.68 Acceptable σ = Fv / Abearing
= Fv / (Dp*(t))
= 79,085 / (28.1*(20)) = 140.71 MPa σ / σp = 140.71 / 206.64 = 0.68 Acceptable
22.1.1.1 Lug Thickness - Shear stress
treqd = [Fv / σs] / (2*Lshear) = (79,085 / 91.84) / (2*65.31) = 6.59 mm treqd / t = 6.59 / 20 = 0.33 Acceptable τ = Fv / Ashear
= Fv / (2*t*Lshear )
= 79,085 / (2*20*65.31) = 30.27 MPa τ / σs = 30.27 / 91.84 = 0.33 Acceptable Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe) φ = 55*Dp / d
= 55*28.1 / 30 = 51.519° Lshear = (H - a2 - 0.5*d) + 0.5*Dp*(1 - cos(φ))
= (150 - 75 - 0.5*30) + 0.5*28.1*(1 - cos(51.519)) = 65.31 mm
Lug Plate Stress
Lug stress tensile + bending during lift: σ ratio = [Ften / (Aten*σt)] + [Mbend / (Zbend*σb)] ≤ 1
= [(Fr*cos(α) ) / (t*L*σt)] + [(6*abs(Fr*sin(α)*Hght - Fr*cos(α)*a1) ) / (t*L2*σb)] ≤ 1
= 79,085*cos(45.0) / (20*240*137.76) + 6*abs(79,085*sin(45.0)*75 - 79,085*cos(45.0)*0) / (20*2402*153.07)
= 0.23 Acceptable
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 65 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
Weld Stress Weld stress, tensile, bending and shear during lift: Direct shear:
Shear stress at lift angle 45.00°; lift force = 79,085 N
Aweld = 2*(0.707)*tw*(L + t) = 2*(0.707)*8*(240 + 20) = 2,941.12 mm2 τt = Fr*cos(α) / Aweld = 79,085*cos(45.0) / 2,941.12 = 19.01 MPa τs = Fr*sin(α) / Aweld = 79,085*sin(45.0) / 2,941.12 = 19.01 MPa τb = M * c / I
= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*h*L*(3*t + L))
= 3*abs(79,085*sin(45.0)*75 - 79,085*cos(45.0)*(0)) / (407232.0000)
= 30.9 MPa τ ratio = sqr( (τt + τb)2 + τs
2 ) / τallowable ≤ 1
= sqr ( (19.01 + 30.9)2 + (19.01)2 ) / 91.84
= 0.58 Acceptable Pad Weld Stress, tensile, bending and shear during lift: Direct shear:
Shear stress at lift angle 45.00°; lift force = 79,085 N
Aweld = 2*(0.707)*twp*(Lp + Bp) = 2*(0.707)*8*(265 + 60) = 3,676.4 mm2 τt = Fr*cos(α) / Aweld = 79,085*cos(45.0) / 3,676.4 = 15.21 MPa τs = Fr*sin(α) / Aweld = 79,085*sin(45.0) / 3,676.4 = 15.21 MPa τb = M * c / I
= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*hp*Lp*(3*Wp + Lp))
= 3*abs(79,085*sin(45.0)*85 - 79,085*cos(45.0)*(0)) / (666983.8000)
= 21.38 MPa τ ratio = sqr( (τt + τb)2 + τs
2 ) / τallowable ≤ 1
= sqr ( (15.21 + 21.38)2 + (15.21)2 ) / 91.84
= 0.43 Acceptable
B
MEMORIA DE CALCULO Nº DE DOCUMENTO: REV.:
B PEQ001-01-ETN-0000-MC-M540-00231 ÁREA:
ESTACION PASCUALES HOJA: 66 de 66
TÍTULO: MEMORIA DE CALCULO - TANQUE SUMIDERO -EPA-TQ-1260
23 SOFTWARE FEATURES Name: COMPRESS 2014 Version: Build 7400 Manufacturer: Codeware Description: COMPRESS is an engineering productivity tool that models, calculates and creates
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B