DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 1 OF 152 CALCULATION SHEET FOR SPINNING-MEMBRANE DEAERATOR (JOB NO.:
Views 186 Downloads 1 File size 2MB
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
1
OF
152
CALCULATION SHEET FOR SPINNING-MEMBRANE DEAERATOR (JOB NO.: 86811-345) (DRAWING NO.: HMC-250(13)-00. REV. 0)
3 2 1 0 REVISION
DATE
DESCRIPTION
DESIGNED BY ENGINEER
TECHNOLOGY DEPT. MANAGER
青岛畅隆电力设备有限公司 QINGDAO CHANGLONG POWER EQUIPMENT Co. Ltd .
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
2
OF
152
TABLE OF CONTENTS
1
DESIGN DATA
3
2
MAX. ALLOWABLE STRESS AT DESIGN TEMPERATURE
6
3
THICKNESS OF CYLINDRICAL SHELL UNDER INTERAL PRESSURE
7
4
THICKNESS OF ELLIPSOIDAL HEADS, PRESSURE ON CONCAVE SIDE
9
5
THICKNESS OF NOZZLE NECK UNDER INTERNAL PRESSURE
12
6
MAX. ALLOWABLE WORKING PRESSURE
21
7
HYDROSTATIC TEST PRESSURE AND TEMPERATURE
22
8
REINFORCEMENT FOR OPENINGS
23
9
PRESSURE-TEMPERATURE RATING FOR ASME FLANGE
139
10
THE CALCULATION OF LIFTING LUG
140
11
CHECK FOR STRENGTH AND STABILITY OF THE HORIZONTAL VESSEL
148
12
CHECK FOR POST WELD HEAT TREATMENT
152
13
EVALUATION OF IMPACT TEST REQUIREMENT
152
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
3
OF
152
1. DESIGN DATA: ASME BOILER AND PRESSURE VESSELS CODE APPLICABLE CODE
SECTION Ⅷ DIVSION 1 2010 EDITION AND
CUSTOMER SPECIFICATION
PED 97/23/EC
(1)
DOC. NO.
2011-83-1-86811-345-0/Rev 0
(2)
DESIGN PRESSURE
INTERNAL 0.65 MPa
(3)
DESIGN TEMPERATURE
300℃
(4)
TYPE OF JOINTS OF CATEGORIES A AND B
TYPE NO.1
(5)
RADIOGRAPHY
SPOT PER UW-11(b)
(6)
JOINT EFFICIENCY
SHELL: 0.85, HEAD: 0.85, SHELL to HEAD: 0.85
(7)
CORROSION ALLOWANCE(TANK/TOWER)
2.6 mm / 3.5 mm.
(8)
MATERIAL
SHELL & HEAD :SA-516MGr.485 NOZZLE: SA-106Gr.B FLANGE: SA-105M
(9)
MAX.
ALLOWABLE
STRESS
AT
DESIGN
TEMPERATURE(SEE TABLE 2.1 )
SA-105: 129.3MPa at 300℃ SA-106Gr.B: 125.3MPa at 300℃ SA-516MGr.485: 136MPa at 300℃
(10)
HEAD TYPE
2:1 Standard Ellipsoidal Head
(11)
CAPACITY (TANK / TOWER)
64.9 m3 /6.7 m3
(12)
SERVICE FLUID
WATER AND STEAM (no lethal)
(13)
MIN. SERVICE TEMPERATURE
-10℃
(14)
THE LOADING CONSIDERED IN DESIGNING
SEE TABLE 1-1
(15)
VESSEL DIMENSIONS
SEE FIG. 1-1
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
4
OF
152
TABLE 1.1 LOADING CONSIDERED IN DESIGNING DEAERATOR′S TANK
Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Description Internal pressure External pressure Weight of vessel Weight of normal contents under operation conditions Weight of normal contents under test conditions Superimposed static reactions from weight of attached equipment The attachments of internals The attachments of vessel supports (skirt, legs, saddles etc.) The attachments of hanger Cyclic and dynamic reactions due to pressure Cyclic and dynamic reactions due to thermal variations Cyclic and dynamic reactions due to equipment mounted on the vessel Cyclic and dynamic reactions due to mechanical loadings Wind reactions Snow reactions Seismic reactions Impact reactions, such as those due to fluid shock Temperature gradients Differential thermal expansion Abnormal pressure, such as those caused by deflagration Test pressure and coincident static head acting during the test (See UG-99)
DEAERATOR′S TOWER
Yes [√] [ ] [√] [√]
No [ ] [√] [ ] [ ]
Yes [√] [ ] [√] [ ]
No [ ] [√] [ ] [√ ]
[√] [ ]
[ ] [√]
[√] [ ]
[ ] [√]
[ ] [√]
[√] [ ]
[ ] [√]
[√] [ ]
[√] [ ] [ ]
[ ] [√] [√]
[√] [ ] [ ]
[ ] [√] [√]
[ ]
[√]
[ ]
[√]
[ ]
[√]
[ ]
[√]
[ [ [ [ [ [ [
] ] ] ] ] ] ]
[√] [√] [√] [√] [√] [√] [√]
[ [ [ [ [ [ [
] ] ] ] ] ] ]
[√] [√] [√] [√] [√] [√] [√]
[√ ]
[ ]
[√ ]
[ ]
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
5
OF
152
LIST OF NOZZLES TABLE 1.2 NOZZLE
NO.
Q’TY
SIZE
TYPE
DESCRIPTION
REMARKS
A1
1
DN500
CLASS150 SO RF
MANHOLE
SA-516MGr.485
A2
1
DN450
CLASS150 SO RF
MANHOLE
SA-516MGr.485
B
1
DN200
WELDING
STEAM CONNECT NOZZLE
SA-106Gr.B
C1-2
2
DN80
WELDING
RECYCLING NOZZLE
SA-106Gr.B
D1-2
2
DN150
CLASS150 SO RF
SAFETY VALVE NOZZLE
SA-106Gr.B
E
1
DN100
WELDING
HP DRAIN INLET
SA-106Gr.B
F
1
DN150
CLASS150 SO RF
CHECK-UP NOZZLE
SA-106Gr.B
G
1
DN80
CLASS150 SO RF
EXHAUST NOZZLE
SA-106Gr.B
H
1
DN200
WELDING
FEED WATER INLET
SA-106Gr.B
I
1
DN150
WELDING
SUPPLY WATER INLET
SA-106Gr.B
J
1
DN80
WELDING
SECONDARY STEAM INLET
SA-106Gr.B
K
1
DN200
WELDING
STEAM INLET
SA-106Gr.B
L
1
DN100
WELDING
M
1
DN80
WELDING
REBOILING NOZZLE
SA-106Gr.B
N
1
DN150
WELDING
OUTFALL NOZZLE
SA-106Gr.B
O
1
DN250
WELDING
DEAERATED WATER OURLET
SA-106Gr.B
P1-2
2
DN10
WELDING
SAMPLING WATER NOZZLE
SA-106Gr.B
Q
1
DN200
WELDING
WATER CONNECT NOZZLE
SA-106Gr.B
R
1
DN250
WELDING
DEAERATED WATER OURLET
SA-106Gr.B
S
1
DN100
WELDING
HIGH LEVEL ELECTRIC OFFLET
SA-106Gr.B
T1-2
2
DN50
CLASS150 SO.RF
ELECTRIC CONTACT LEVEL GAUGE NOZZLE
SA-106Gr.B
STEAM LEAKING FROM GATE POLE
SA-106Gr.B
NOZZLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
NO.
PAGE
6
OF
152
Q’TY
SIZE
TYPE
DESCRIPTION
REMARKS
U1-4
4
DN50
CLASS150 SO RF
EQUALIZER NOZZLE
SA-106Gr.B
V1-2
2
DN20
INTERNAL THREAD
V3
1
DN20
INTERNAL THREAD
RESISTANCE THERMOMETER NOZZLE
SA-105M
W1-2
2
DN15
INTERNAL THREAD
PRESSURE GAUGE
SA-105M
W3
1
DN10
WELDING
PRESSURE SIGNAL NOZZLE
SA-106Gr.B
X1-2
2
DN50
CLASS150 PL. RF
LEVEL GAUGE NOZZLE
SA-106Gr.B
Y1
1
DN100
WELDING
Z1-2
2
DN50
CLASS150 SO RF
Y2
1
DN80
WELDING
BIMETALLIC THERMOMETER NOZZLE
DRAIN INLET
SA-105M
SA-106Gr.B
ELECTRIC CONTACT LEVEL GAUGE NOZZLE
SA-106Gr.B
WATER FROM SLAG-COOLER INLET
SA-106Gr.B
Note: Bolt holes of flanges shall straddle center line of the vessel.
FIG.1-1 Brief Drawing of Shell
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
7
OF
152
2. MAX. ALLOWABLE STRESS AT DESIGN TEMPERATURE TABLE 2.1 ALLOWABLE STRESS VALUE (MPa) ASME
SHELL AND HEAD MATERIAL SA-516MGr.485 PIPE MATERIAL SA-106Gr.B FLANGE MATERIAL SA-105 BOLT MATERIAL SA-193.B7
YIELD STRENGTH
TENSILE STRENGTH
VALUE (MPa)
VALUE (MPa)
ASME
ASME
PED
300℃
20℃
300℃
20℃
300℃
20℃
300℃
20℃
136
138
136
174.6
204
262
483
483
118
118
125.3
160.6
188
241
414
414
129
138
129.3
165.3
194
248
483
483
130
130
287
287
595
724
689
689
注/NOTE: 1 材料的许用应力取值依据 PED/97/23/EC 附录Ⅰ规定: MATERIAL ALLOWANCE STRESS VALUE IS IN ACCORDANCE WITH PED/97/23/EC REGULATION ANNEX Ⅰ: 1. 对材料/FOR MATERIAL SA-516MGr.485: Re/t=204MPa, Rm/20=483MPa, Sd=MIN{Re/t×2/3, Rm/20×5/12}=136 MPa 2. 对 材 料 /FOR MATERIAL SA-106Gr.B: Re/t=188MPa, Rm/20=414MPa, Sd=MIN{Re/t × 2/3, Rm/20×5/12}=125.3 MPa 3. 对材料/FOR MATERIAL SA-105: Re/t=194MPa, Rm/20=483MPa, Sd=MIN{Re/t×2/3, Rm/20× 5/12}=129.3 MPa 4. 对材料/FOR MATERIAL SA-193.B7: Re/t=595MPa, Rm/20=689MPa, Sd=MIN{Re/t×2/3, Rm/20 ×5/12}=287 MPa
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
8
OF
152
3. THICKNESS OF CYLINDRICAL SHELL UNDER INTERNAL PRESSURE 3-1 DEAERATOR′S TANK: ASME SEC.Ⅷ DIV.1 UG-27 z Part z Design pressure
:
Shell of tank
P (MPa)
:
0.65
(℃)
:
300
:
SA-516MGr.485
z Design temperature z Material z Maximum allowable stress value at design temperature Sd
(MPa)
:
136
z Maximum allowable stress value at test temperature
St
(MPa)
:
174.6
z Height to point under consideration
H
(m)
:
6.769
z Density of test medium (water) at test temperature
ρ (kg/m3)
:
1000
z Type of welded joints in TABLE UW-12
:
Type No. (1)
z Radiographic examination
:
SPOT Per UW-11(b)
z Joint efficiency (specified in UW-12)
E
z Negative Deviation:
C1
z Corrosion allowance (designated by customer)
:
0.85
(mm)
:
0.3
C2
(mm)
:
2.6
z Nominal shell thickness
tn
(mm)
z Inside radius corroded
R
(mm)
z Final center line radius
16 :
1402.6
Rf (mm)
:
1408
z Original center line radius (specified in UCS-79)
Ro (mm)
:
∞(Infinity)
z Shell length
L (mm)
:
9280
z Total weight
WT (kg)
:
95000
z Reaction at each saddle
Q (N)
:
465975
z Head depth
H (mm)
:
700
z Saddle to tangent line
A (mm)
:
1140
(1)
Thickness calculation for shells under internal pressure with supplemental loading. Here three cases must be investigated: (a)
circumferential stress due to internal pressure
(b)
longitudinal tensile stress due to bending must be added to the longitudinal stress due to
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
9
OF
152
internal pressure. (c)
Longitudinal compressive stress due to bending.
Case 1 circumferential tensile stress. In this horizontal vessel; the equation in UG-27 (c)(1) is used: P = 0.65 + ρgH/106 = 0.65 + 1000×9.81×6.769/106 = 0.7165 MPa
t1 =
PR 0.7165 × 1402.6 = = 8.73mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.7165
Case 2 longitudinal tensile stress. The following equation combines longitudinal tensile stress due to pressure with the longitudinal tensile stress due to bending at the midpoint between two saddles:
⎡ 2( R 2 − H 2 ) ⎤ 1+ ⎢ 2 QL 4A⎥ PR L × − ± t2 = ⎢ ⎥ 4H L ⎥ 2SE + 0.4 P 4πR 2 SE ⎢ 1+ ⎥⎦ 3L ⎣⎢ =
0.7165 × 1402.6 ± 2 × 136 × 0.85 + 0.4 × 0.7165
⎡ 2(1402.62 − 7002 ) ⎤ 1+ ⎢ 2 465975 × 9280 4 × 1140 ⎥ 9280 × − ⎢ ⎥ 4 × 700 4π× 1402.62 × 136 × 0.85 ⎢ 9280 ⎥ 1+ ⎥⎦ 3 × 9280 ⎣⎢ = 4.35 ± 1.514×(0.9242-0.4914) = 4.35 ± 0.656 = 5.006 mm Case 3 Longitudinal compressive stress. First determine the allowable compressive stress [see UG-23(b)] A=
0.125 0.125 = = 0.00141 RO / t 1418.6 / 16
B= 70 MPa (from Fig. CS-2) The general equation for thickness is the same as for longitudinal tensile stress except the pressure portion drops out since the most servere condition occurs when there is no pressure in the vessels.
⎡ 2( R 2 − H 2 ) ⎤ ⎢1 + ⎥ 2 4 A QL L ×⎢ − t3 = ⎥ 2 4H 4πR SE ⎢ L ⎥ 1+ ⎢⎣ ⎥⎦ 3L
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
10
OF
152
⎡ 2(1402.62 − 7002 ) ⎤ ⎢1 + ⎥ 2 465975 × 9280 4 × 1140 9280 × − = ⎢ ⎥ 4 × 700 4π× 1402.6 2 × 70 × 0.85 ⎢ 9280 ⎥ 1+ ⎥⎦ 3 × 9280 ⎣⎢ = 2.94×(0.9242-0.4914) = 1.28 mm (2)
Design thickness Required minimum shell thickness including allowance t = max(t1,t2,t3) + C1+C2 = 8.73+0.3+2.6 = 11.63 mm
(3)
Provided thickness Nominal thickness (mm) 16 > t
(4)
OK
Check minimum required thickness for paragraph UG-16 (b) (4) Minimum thickness required (including corrosion allowance) : 2.5 + 2.6 = 5.1 mm, nominal thickness is 16 mm > 5.1 mm, OK
(5)
Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: For single curvature
r=
50t ⎛ R f ⎞ 50 × 16 ⎛ 1408 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 0.569% < 5% Rf ⎝ R0 ⎠ 1408 ⎝ ∞ ⎠
None of the conditions in UCS-79 (1~5) apply, so no heat treatment after cold forming need to apply.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
11
OF
152
3-2 DEAERATOR′S TOWER: ASME SEC.Ⅷ DIV.1 UG-27 z Part z Design pressure
:
Shell of tower
P (MPa)
:
0.65
(℃)
:
300
:
SA-516MGr.485
z Design temperature z Material z Maximum allowable stress value at design temperature Sd
(MPa)
:
136
z Maximum allowable stress value at test temperature
St
(MPa)
:
174.6
z Height to point under consideration
H
(m)
:
2.950
z Density of test medium (water) at test temperature
ρ (kg/m3)
:
1000
z Type of welded joints in TABLE UW-12
:
Type No. (1)
z Radiographic examination
:
SPOT Per UW-11(b)
z Joint efficiency (specified in UW-12)
E
z Negative Deviation:
C1
z Corrosion allowance (designated by customer)
:
0.85
(mm)
:
0.3
C2
(mm)
:
3.5
z Nominal shell thickness
tn
(mm)
z Inside radius corroded
R
(mm)
z Final center line radius z Original center line radius (specified in UCS-79) (1)
12 :
903.5
Rf (mm)
:
906
Ro (mm)
:
∞(Infinity)
Required minimum shell thickness excluding allowance (circumferential stress) 0.385SE = 0.385×136×0.85=44.506> P (a)
For design condition
tmin 1 = (b)
according to UG-27(b)&(c)
PR 0.65 × 903.5 = = 5.10mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.65
For hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
12
OF
152
PR (9.81Hρ / 106 ) R + St E − 0.6 P St E − 0.6(9.81Hρ / 106 )
0.65 × 903.5 9.81 × 2.95 × 1000 / 106 × 903.5 = + 174.6 × 0.85 − 0.6 × 0.65 174.6 × 0.85 − 0.6 × (9.81 × 2.95 × 1000 / 106 ) = 3.97 + 0.15 = 4.12mm (2)
Design thickness Required minimum shell thickness including allowance T = max(tmin1,tmin2)+C1+C2 = 5.10 + 0.3 + 3.5 = 8.9 mm
(3)
Provided thickness Nominal thickness (mm) 12 > t
(4)
OK
Check minimum required thickness for paragraph UG-16 (b) (4) Minimum thickness required (including corrosion allowance) : 2.5 + 3.5 = 6.0 mm, nominal thickness is 12 mm> 6.0 mm, OK
(5)
Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: For single curvature
r=
50t ⎛ R f ⎞ 50 × 12 ⎛ 906 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 0.663% < 5% Rf ⎝ R0 ⎠ 906 ∞ ⎠ ⎝
None of the conditions in UCS-79 (1~5) apply, so no heat treatment after cold forming need to apply.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
13
OF
152
4. THICKNESS OF ELLIPSOIDAL HEAD, PRESSURE ON CONCAVE SIDE 4-1 DEAERATOR′S TANK: ASME SEC.Ⅷ DIV.1 UG-32 ●Part ●Design
pressure
●Design
temperature
P (MPa) (℃)
●Material
:
Heads of tank
:
0.65
:
300
:
SA-516MGr.485
●Maximum
allowable stress value at design temperature
Sd
(MPa)
:
136
●Maximum
allowable stress value at test temperature
St
(MPa)
:
174.6
●Height
to point under consideration
(left head)
H
(m)
:
6.769
●Height
to point under consideration
(right head)
H
(m)
:
6.769
:
1000
Type of welded joints in TABLE UW-12
:
Type No. (1)
Radiographic examination
:
SPOT
●Density
of test medium at test temperature
ρ(kg/m3)
Per UW-11(b) ●Weld
joining heads to shell
:
Type No. (1), SPOT
Per
UW-11(b) ●Joint
efficiency (specified in UW-12(d))
E
:
0.85
Negative Deviation:
C1
(mm)
:
0.3
●Corrosion
C2
(mm)
:
2.6
allowance (designated by customer)
●Inside
diameter of ellipsoidal head (corroded)
D
●Inside
spherical radius of hemispherical head
R
● Crown
final centerline radius
(specified in UG-32(d)
2805.2 (mm)
:
1402.6
Rf (mm)
:
2528
rf
(mm)
:
482.96
R0 (mm)
:
∞(Infinity)
and UCS-79) ●Knuckle
final centerline radius (specified in UG-32(d)
and UCS-79) ●Original
center line radius (specified in UCS-79)
DOC. NO.: 2011-83-1-86811-342-0
(1)
REV.: 0
PAGE
14
OF
152
Required minimum head thickness Without joint, according to UW-12(d), E=0.85, L = 0.9D = 0.9×2805.2 = 2524.68 mm ts/L = 13.92/2524.68=0.00552 > 0.002
according to UG-32(d)
(a) For the left head according to UG-32(d) (a-1) for design condition Required minimum head thickness excluding allowance tmin
tmin 1 =
PD 0.65 × 2805.2 = = 7.90mm 2S d E − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
(b) For the right head (b-1) for design condition Required minimum head thickness excluding allowance tmin
tmin 2 =
PD 0.65 × 2805.2 = = 7.90mm 2S d E − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
(b-2) for hydrostatic test condition (Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)
tmin 3 =
PD (9.81Hρ / 106 ) D + 2St E − 0.2 P 2St E − 0.2(9.81Hρ / 106 )
0.65 × 2805.2 9.81 × 6.769 × 1000 / 106 × 2805.2 + 2 × 174.6 × 0.85 − 0.2 × 0.65 2 × 174.6 × 0.85 − 0.2 × (9.81 × 6.769 × 1000 / 106 ) = 6.15 + 0.63 = 6.78mm =
(2)
Design thickness Required minimum head thickness including allowance t= max(tmin1,tmin2,tmin3) + C1+C2 = 7.90 + 0.3 + 2.6 = 10.8 mm
(3)
Provided thickness Nominal thickness (mm) 16 Minimum thickness after forming (mm) 13.92 ≥ t OK
(4)
Check minimum head thickness for hemispherical head from paragraph UG-32 (b) & (f) 0.665SE = 0.665 × 136× 0.85 = 76.874 MPa >P
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
15
OF
152
Required minimum hemispherical head thickness
tmin h =
PL 0.65 × 2524.68 = = 7.11mm 2SE − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
Tr = tminh/E= 7.11/0.85 = 8.37 mm < 13.92 mm OK (5)
Check minimum required thickness for paragraph UG-16(b)(4) Minimum thickness required (including corrosion allowance) : 2.5+2.6 = 5.1mm, minimum thickness after forming is 13.92 mm.> 5.1 mm
(6)
OK
Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without heat treatment is based on the following formula: For double curvature Crown radius elongation
r=
75t ⎛ R f ⎞ 75 × 16 ⎛ 2528 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 0.475% < 5% Rf ⎝ R0 ⎠ 2528 ⎝ ∞ ⎠
Knuckle radius elongation
r=
r ⎞ 75t ⎛ 75 × 16 ⎛ 482.96 ⎞ ⎜⎜1 − f ⎟⎟% = × ⎜1 − ⎟% = 2.49% < 5% rf ⎝ R0 ⎠ 482.96 ⎝ ∞ ⎠
None of the conditions listed in UCS-79(d)(1) through (5) exist, so no heat treatment of heads after cold forming need to apply for SA-516MGr.485 (P-NO.1 Group NO.2).
DOC. NO.: 2011-83-1-86811-342-0
4-2
REV.: 0
PAGE
16
OF
152
DEAERATOR′S TOWER: ASME SEC.Ⅷ DIV.1 UG-32
●Part ●Design
pressure
●Design
temperature
P (MPa) (℃)
●Material
:
Heads of tower
:
0.65
:
300
:
SA-516MGr.485
●Maximum
allowable stress value at design temperature
Sd
(MPa)
:
136
●Maximum
allowable stress value at test temperature
St
(MPa)
:
174.6
●Height
to point under consideration
(bottom head)
H
(m)
:
3.437
●Height
to point under consideration
(top head)
H
(m)
:
0.787
:
1000
Type of welded joints in TABLE UW-12
:
Type No. (1)
Radiographic examination
:
SPOT
●Density
of test medium at test temperature
ρ(kg/m3)
Per UW-11(b) ●Weld
joining heads to shell
:
Type No. (1), SPOT
Per
UW-11(b) ●Joint
efficiency (specified in UW-12(d))
E
:
0.85
Negative Deviation:
C1
(mm)
:
0.3
●Corrosion
C2
(mm)
:
3.5
allowance (designated by customer)
●Inside diameter of ellipsoidal head (corroded)
D
●Inside spherical radius of hemispherical head
R
(mm)
:
903.5
●Crown final centerline radius
Rf (mm)
:
1626
rf
(mm)
:
311.22
R0 (mm)
:
∞(Infinity)
(specified in UG-32(d)
1807
and UCS-79) ●Knuckle
final centerline radius (specified in UG-32(d)
and UCS-79) ●Original
(1)
center line radius (specified in UCS-79)
Required minimum head thickness Without joint, according to UW-12(d), E = 0.85, L=0.9D = 0.9×1807 = 1626.3mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
ts/L = 10.44/1626.3 =0.00642 > 0.002 (a) For the top head
PAGE
17
OF
152
according to UG-32(d)
according to UG-32(d)
(a-1) for design condition Required minimum head thickness excluding allowance tmin
tmin 1 =
PD 0.65 × 1807 = = 5.09mm 2S d E − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
(b) For the bottom head (b-1) for design condition Required minimum head thickness excluding allowance tmin
tmin 2 =
PD 0.65 × 1807 = = 5.09mm 2 S d E − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
(b-2) for hydrostatic test condition (Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)
tmin 3 =
PD (9.81Hρ / 106 ) D + 2St E − 0.2 P 2St E − 0.2(9.81Hρ / 106 )
0.65 × 1807 9.81 × 3.437 × 1000 / 106 × 1807 = + 2 × 174.6 × 0.85 − 0.2 × 0.65 2 × 174.6 × 0.85 − 0.2 × (9.81 × 3.437 × 1000 / 106 ) = 3.96 + 0.21 = 4.17 mm (2)
Design thickness Required minimum head thickness including allowance t=max(tmin1,tmin2,tmin3)+C1+C2= 5.09 + 0.3+3.5 = 8.89 mm
(3)
Provided thickness Nominal thickness (mm) 12 Minimum thickness after forming (mm) 10.44 ≥ t OK
(4)
Check minimum head thickness for hemispherical head from paragraph UG-32 (b) & (f) 0.665SE = 0.665 × 136× 0.85 =76.874 MPa
>P
Required minimum hemispherical head thickness
DOC. NO.: 2011-83-1-86811-342-0
tmin h =
REV.: 0
PAGE
18
OF
152
PL 0.65 × 1626.3 = = 4.58mm 2SE − 0.2 P 2 × 136 × 0.85 − 0.2 × 0.65
tr=tminh/E= 4.58/0.85 = 5.39 mm < 10.44 mm OK (5)
Check minimum required thickness for paragraph UG-16(b)(4) Minimum thickness required (including corrosion allowance) : 2.5 + 3.5 = 6.0 mm, minimum thickness after forming is 10.44 mm.> 6.0 mm
(6)
OK
Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without heat treatment is based on the following formula: For double curvature Crown radius elongation
r=
75t ⎛ R f ⎞ 75 × 12 ⎛ 1626 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 0.554% < 5% Rf ⎝ R0 ⎠ 1626 ⎝ ∞ ⎠
Knuckle radius elongation
r=
r ⎞ 75t ⎛ 75 × 12 ⎛ 311.22 ⎞ ⎜⎜1 − f ⎟⎟% = × ⎜1 − ⎟% = 2.892% < 5% rf ⎝ R0 ⎠ 311.22 ⎝ ∞ ⎠
None of the conditions listed in UCS-79(d)(1) through (5) exist, so no heat treatment of heads after cold forming need to apply for SA-516MGr.485 (P-NO.1 Group NO.2).
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
19
OF
152
5. THICKNESS OF NOZZLE NECK INTERNAL PRESSURE 5-1 DEAERATOR′S TANK: 5-1-1
FOR NOZZLE A1
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-516M Gr.485
Sd (MPa)
:
136
St (MPa)
:
174.6
:
SA-516M Gr.485
Ss (MPa)
:
136
H (m)
:
6.387
ρ(k/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of head
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
Type No. (1)
UW-12 ●Radiographic ●Joint
efficiency of nozzle neck (specified in UW-12)
●Negative
Deviation:
●Corrosion ●Outside
allowance (designated by customer)
radius of nozzle neck
SPOT Per UW-11(b) E
:
0.85
:
0.3
C2 (mm)
:
2.6
Ro
:
254
C1
(mm)
(mm)
●Inside
radius of nozzle corroded
R (mm)
:
244.6
●Inside
radius of shell corroded
Rs
:
1402.6
Rf (mm)
:
248
R0 (mm)
:
∞(Infinity)
●Final
center line radius of nozzle
●Original
(1)
examination of nozzle neck
center line radius of nozzle
(mm)
Minimum required thickness of nozzle par. UG-45 (a) and UG-27 (c) (1)
0.385SE = 0.385×136×0.85 = 44.506 > P (a)
under design condition
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
20
OF
152
Required minimum thickness including allowance
tmin 1 =
PR 0.65 × 244.6 +C = + 0.3 + 2.6 = 1.39 + 2.9 = 4.29mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2
PR (9.81Hρ / 106 ) R = + +C St E − 0.6 P St E − 0.6(9.81Hρ / 106 )
0.65 × 244.6 9.81 × 6.387 × 1000 / 106 × 244.6 + + 0.3 + 2.6 174.6 × 0.85 − 0.6 × 0.65 174.6 × 0.85 − 0.6 × (9.81 × 6.387 × 1000 / 106 ) = 1.08 + 0.11 + 2.9 = 4.09mm
=
(c) With supplemental loading by flange and cover ●
Weight of flange and cover
W = 250 kg
●
Bending moment due to supplemental loading Under operating condition
M1 = 250×9.81×0.166= 408 N·m
Under cover opened condition
M2 = 250×9.81×0.466=1143 N·m
Per UG-27(c) and Appendix L, Use S = 136 × 1.5 = 204 MPa (see UG-23(c))
PR M + 21 +C 2SE + 0.4 P πR SE 0.65 × 244.6 408 = + + 0.3 + 2.6 2 2 × 204 × 0.85 + 0.4 × 0.65 π × 244.6 × 204 × 0.85 = 0.46 + 0.000013 + 2.9 ≈ 3.4mm
t3 =
M2 1143 +C = + 0.3 + 2.6 = 0.00004 + 2.9 ≈ 3.0mm 2 πR SE π × 244.6 2 × 204 × 0.85
t4 = (2)
Provided thickness Nominal thickness (mm) 12 > tmin1,tmin2,t3,t4
(3)
OK
Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: for single curvature
r=
50t ⎛ R f ⎞ 50 × 12 ⎛ 248 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 2.42% < 5% Rf ⎝ R0 ⎠ 248 ⎝ ∞ ⎠
None of the condition list in UCS-79 (d) (1-5) exists, so no heat treatment after cold forming need to apply.
DOC. NO.: 2011-83-1-86811-342-0
5-1-2 FOR NOZZLE
REV.: 0
B.K
PAGE
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
3.953
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
109.55
tstd (mm)
:
8.18
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
21
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 109.55 +C = + 2.6 = 3.17mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
22
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 109.55 9.81 × 3.953 × 1000 / 106 × 109.55 = + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 3.953 × 1000 / 106 ) = 0.45 + 0.03 + 2.6 = 3.08mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 8.18 + 2.6 = 9.76 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 9.33 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 12.7 Minimum thickness (mm) 12.7×0.875 = 11.11 ≥ t 5-1-3
FOR NOZZLE
OK
C1-2. .M
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
3.953
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Nominal ●Inside
(1)
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
44.45
tstd (mm)
:
5.49
Rs
:
1402.6
C
radius of nozzle neck thickness of the standard wall pipe(B36.10M)
radius of shell corroded
OF
: E
allowance (designated by customer)
23
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 44.45 +C = + 2.6 = 2.84mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 44.45 9.81 × 3.953 × 1000 / 106 × 44.45 + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 3.953 × 1000 / 106 ) = 0.18 + 0.02 + 2.6 = 2.8mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 5.49 + 2.6 = 7.41 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.41 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
5-1-4
FOR NOZZLE
REV.: 0
D1
PAGE
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
3.953
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
84.15
tstd (mm)
:
7.11
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
24
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 84.15 +C = + 2.6 = 3.04mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
25
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 84.15 9.81 × 3.953 × 1000 / 106 × 84.15 = + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 3.953 × 1000 / 106 ) = 0.35 + 0.03 + 2.6 = 2.98mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 7.11 + 2.6 = 8.82 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 8.82 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 10.97 Minimum thickness (mm) 10.97×0.875 = 9.6 ≥ t 5-1-5
FOR NOZZLE
OK
L
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
3.953
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Nominal ●Inside
(1)
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
57.15
tstd (mm)
:
6.02
Rs
:
1402.6
C
radius of nozzle neck thickness of the standard wall pipe(B36.10M)
radius of shell corroded
OF
: E
allowance (designated by customer)
26
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 57.15 +C = + 2.6 = 2.9mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 57.15 9.81 × 3.953 × 1000 / 106 × 57.15 + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 3.953 × 1000 / 106 ) = 0.24 + 0.02 + 2.6 = 2.86mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 ×6.02 + 2.6 = 7.87 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.87 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
5-1-6 FOR NOZZLE
REV.: 0
N
PAGE
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
6.919
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
84.15
tstd (mm)
:
7.11
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
27
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 84.15 +C = + 2.6 = 3.04mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
28
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 84.15 9.81 × 6.919 × 1000 / 106 × 84.15 = + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 6.919 × 1000 / 106 ) = 0.35 + 0.04 + 2.6 = 2.99mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 7.11 + 2.6 = 8.82 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 8.82 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 10.97 Minimum thickness (mm) 10.97×0.875 = 9.6 ≥ t 5-1-7
FOR NOZZLE
OK
O.R
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
6.919
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Nominal ●Inside
(1)
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
136.5
tstd (mm)
:
9.27
Rs
:
1402.6
C
radius of nozzle neck thickness of the standard wall pipe(B36.10M)
radius of shell corroded
OF
: E
allowance (designated by customer)
29
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 136.5 +C = + 2.6 = 3.31mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 136.5 9.81 × 6.919 × 1000 / 106 × 136.5 + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 6.919 × 1000 / 106 ) = 0.56 + 0.06 + 2.6 = 3.22mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.27 + 2.6 = 10.7 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 9.33 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 12.7 Minimum thickness (mm) 12.7×0.875 = 11.11 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
5-1-8
FOR NOZZLE
REV.: 0
S
PAGE
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
6.919
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
57.15
tstd (mm)
:
6.02
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
30
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 57.15 +C = + 2.6 = 2.9mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
31
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 57.15 9.81 × 6.919 × 1000 / 106 × 57.15 = + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 6.919 × 1000 / 106 ) = 0.24 + 0.03 + 2.6 = 2.87 mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 ×6.02 + 2.6 = 7.87 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.87 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t 5-1-9 FOR NOZZLE
OK
Q
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
6.919
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Nominal ●Inside
(1)
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
109.55
tstd (mm)
:
8.18
Rs
:
1402.6
C
radius of nozzle neck thickness of the standard wall pipe(B36.10M)
radius of shell corroded
OF
: E
allowance (designated by customer)
32
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 109.55 +C = + 2.6 = 3.17mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 109.55 9.81 × 6.919 × 1000 / 106 × 109.55 + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 6.919 × 1000 / 106 ) = 0.45 + 0.05 + 2.6 = 3.1mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 8.18 + 2.6 = 9.76 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 9.33 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 12.7 Minimum thickness (mm) 12.7×0.875 = 11.11 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
OF
152
5-1-10
FOR NOZZLE T1.U1.U3.Z1.X1
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
4.284
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
30.15
tstd (mm)
:
3.91
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
33
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 30.15 +C = + 2.6 = 2.76mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
34
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 30.15 9.81 × 4.284 × 1000 / 106 × 30.15 = + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 4.284 × 1000 / 106 ) = 0.13 + 0.008 + 2.6 = 2.738mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 3.91 + 2.6 = 6.02 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 6.02 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 8.74 Minimum thickness (mm) 8.74×0.875 = 7.65 ≥ t
OK
5-1-11
FOR NOZZLE T2.U2.U4.Z2.X2
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
6484
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Nominal ●Inside
(1)
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
30.15
tstd (mm)
:
3.91
Rs
:
1402.6
C
radius of nozzle neck thickness of the standard wall pipe(B36.10M)
radius of shell corroded
OF
: E
allowance (designated by customer)
35
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 30.15 +C = + 2.6 = 2.76mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 30.15 9.81 × 6.484 × 1000 / 106 × 30.15 + + 2.6 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 6.484 × 1000 / 106 ) = 0.13 + 0.02 + 2.6 = 2.75mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 3.91 + 2.6 = 6.02 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 6.02 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 8.74 Minimum thickness (mm) 8.74×0.875 = 7.65 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
OF
152
5-1-12
FOR NOZZLE W2
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-105M
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
5364
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
17.5
tstd (mm)
:
2.77
Rs
:
1402.6
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
36
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 17.5 +C = + 2.6 = 2.69mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
37
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 17.5 9.81 × 5.364 × 1000 / 106 × 17.5 = + + 2.6 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 5.364 × 1000 / 106 ) = 0.07 + 0.006 + 2.6 = 2.676mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.77 + 2.6 = 5.02 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 5.02 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 6.5 ≥ t
OK
5-1-13
FOR NOZZLE V2-3
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-105M
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
5378
ρ(kg/m3)
:
1000
:
Seamless
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12
DOC. NO.: 2011-83-1-86811-342-0
●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
PAGE
E
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
REV.: 0
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
38
OF
:
1.0
(mm)
:
2.6
Ro (mm)
:
25
tstd (mm)
:
2.87
Rs
:
1402.6
C
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 25 +C = + 2.6 = 2.73mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2
PRo (9.81Hρ / 106 ) Ro = + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 25 9.81 × 5.378 × 1000 / 106 × 25 = + + 2.6 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 5.378 × 1000 / 106 ) = 0.1 + 0.008 + 2.6 = 2.708mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.87 + 2.6 = 5.12 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 5.12 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.0 ≥ t OK 5-1-14
FOR NOZZLE P1-2
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
DOC. NO.: 2011-83-1-86811-342-0
●Design
REV.: 0
temperature
●Material
● Allowable
● Type
300
:
SA-105M
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-106Gr.B
stress of shell at design temperature
Ss (MPa)
:
125.3
H (m)
:
6852
of test medium at test temperature (water)
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
2.6
Ro (mm)
:
12.5
tstd (mm)
:
2.31
Rs
:
126.4
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
152
:
of shell(nozzle R.O)
to point under consideration
●Density
OF
stress of nozzle neck material at test
temperature
●Allowable
39
stress of nozzle neck material at design
temperature
●Height
T (℃)
of nozzle neck
● Allowable
●Material
PAGE
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 12.5 +C = + 2.6 = 2.67mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2
PRo (9.81Hρ / 106 ) Ro = + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 12.5 9.81 × 6.852 × 1000 / 106 × 12.5 + + 2.6 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 6.852 × 1000 / 106 ) = 0.05 + 0.006 + 2.6 = 2.656mm
=
(2)
Minimum required thickness of shell (nozzle R.O) for par. UG-45 (b) (1), and UG-16 (b) (4),
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
40
OF
152
Es = 1.00
ts =
PRs 0.65 × 126.4 +C = + 2.6 = 3.26mm < 2.5+2.6 = 5.1 mm S s Es + 0.4 P 125.3 × 1 + 0.4 × 0.65
ts = 5.1 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.31 + 2.6 = 4.62 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 4.62 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 7.5 ≥ t 5-1-15
OK
FOR ANNECTENT NOZZLE OF TANK AND
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-516MGr.485
Sd (MPa)
:
136
St (MPa)
:
174.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
4015
ρ(kg/m3)
:
1000
TOWER
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
Type No. (1) :
UW-12 ●Radiographic
examination
:
SPOT Per UW-11(b)
●Joint
efficiency (specified in UW-12)
E
:
0.85
DOC. NO.: 2011-83-1-86811-342-0
●Corrosion ●Outside
●Final
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
center line radius of nozzle
●Original
(1)
allowance (designated by customer)
radius of nozzle neck
●Nominal ●Inside
REV.: 0
center line radius of nozzle
PAGE
C
41
OF
152
(mm)
:
2.6
Ro (mm)
:
406.4
tstd (mm)
:
9.53
Rs
:
1402.6
Rf (mm)
:
398.4
R0 (mm)
:
∞(Infinity)
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 136 ×0.85 = 44.506 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PR 0.65 × 406.4 +C = + 2.6 = 2.3 + 2.6 = 4.9mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PR (9.81Hρ / 106 ) R + +C St E − 0.6 P St E − 0.6(9.81Hρ / 106 )
0.65 × 406.4 9.81 × 4.015 × 1000 / 106 × 406.4 + + 2.6 174.6 × 0.85 − 0.6 × 0.65 174.6 × 0.85 − 0.6 × (9.81 × 4.015 × 1000 / 106 ) = 1.79 + 0.11 + 2.6 = 4.5mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 1402.6 +C = + 2.6 = 6.73 + 2.6 = 9.33mm>2.5 + 2.6 = 5.1 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 9.33 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.53 + 2.6 = 10.94 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 9.33 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 16.0 ≥ t OK
(5)
Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: for single curvature
DOC. NO.: 2011-83-1-86811-342-0
r=
REV.: 0
PAGE
42
OF
152
50t ⎛ R f ⎞ 50 × 16 ⎛ 398.4 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟ % = 2.1% < 5% Rf ⎝ R0 ⎠ 398.4 ⎝ ∞ ⎠
None of the condition list in UCS-79 (d) (1-5) exists, so no heat treatment after cold forming need to apply. 5-2
DEAERATOR′S TOWER:
5-2-1
FOR NOZZLE
E
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
2.378
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
57.15
tstd (mm)
:
6.02
Rs
:
903.5
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside
(1)
allowance (designated by customer)
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
(mm)
DOC. NO.: 2011-83-1-86811-342-0
tmin 1 =
REV.: 0
PAGE
43
OF
152
PRo 0.65 × 57.15 +C = + 3.5 = 3.8mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 57.15 9.81 × 2.378 × 1000 / 106 × 57.15 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 2.378 × 1000 / 106 ) = 0.24 + 0.01 + 3.5 = 3.75mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 ×6.02 + 3.5 = 8.77 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t 5-2-2
FOR NOZZLE
OK
Y2
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
PAGE
:
136
H (m)
:
1.165
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
44.45
tstd (mm)
:
5.49
Rs
:
903.5
152
of welded joints of nozzle neck in TABLE
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
E
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
OF
Ss (MPa)
UW-12 ●Joint
44
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 44.45 +C = + 3.5 = 3.74mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 44.45 9.81 × 1.165 × 1000 / 106 × 44.45 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.165 × 1000 / 106 ) = 0.18 + 0.004 + 3.5 = 3.684mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm t = (the smaller value of ts or tp) = 7.84 mm. > tmin1,tmin2
per UG-45(b)
DOC. NO.: 2011-83-1-86811-342-0
(4)
REV.: 0
PAGE
45
OF
152
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t 5-2-3
FOR NOZZLE
OK
J
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
1.445
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
44.45
tstd (mm)
:
5.49
Rs
:
903.5
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside
(1)
allowance (designated by customer)
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 44.45 +C = + 3.5 = 3.74mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
46
OF
152
Required minimum thickness including allowance
t min 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 44.45 9.81× 1.445 × 1000 / 106 × 44.45 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81× 1.445 × 1000 / 106 ) = 0.18 + 0.004 + 3.5 = 3.684mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t 5-2-4
FOR NOZZLE
OK
F
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
1.205
ρ(kg/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density
of test medium at test temperature (water)
DOC. NO.: 2011-83-1-86811-342-0
● Type
REV.: 0
PAGE
efficiency of nozzle neck
●Corrosion ●Outside
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
84.15
tstd (mm)
:
7.11
●Inside
Rs
:
903.5
E
allowance (designated by customer)
C
radius of nozzle neck
●Nominal
(1)
OF
152
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
47
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 84.15 +C = + 3.5 = 3.94mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 84.15 9.81 × 1.205 × 1000 / 106 × 84.15 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.205 × 1000 / 106 ) = 0.35 + 0.007 + 3.5 = 3.857mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
5-2-5
FOR MANHOLE NOZZLE
REV.: 0
A2
PAGE
48
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-516MGr.485
:
136
●Material ●
of nozzle neck
Allowable stress of nozzle neck material at design Sd (MPa)
temperature ●Allowable ●Height
to point under consideration
●Density ●Type
stress of nozzle neck material at test temperature
of test medium at test temperature (water)
174.6
H (m)
:
2166
ρ(kg/m3)
:
1000
of welded joints of nozzle neck in TABLE UW-12
●Radiographic ●Joint
St (MPa)
examination of nozzle neck
efficiency of nozzle neck (specified in UW-12)
●Negative
Deviation:
●Corrosion ●Outside
Type No. (1)
allowance (designated by customer)
radius of nozzle neck
SPOT Per UW-11(b) E
:
0.85
:
0.3
C2 (mm)
:
3.5
Ro
:
228.5
C1
(mm)
(mm)
●Inside
radius of nozzle corroded
R (mm)
:
220
●Inside
radius of shell corroded
Rs
:
1803.5
Rf (mm)
:
222.5
R0 (mm)
:
∞(Infinity)
●Final
center line radius of nozzle
●Original
center line radius of nozzle
(mm)
(1) Minimum required thickness of nozzle par. UG-45 (a) and UG-27 (c) (1)
0.385SE = 0.385×136×0.85 = 44.506 > P (a) under design condition Required minimum thickness including allowance
tmin 1 =
PR 0.65 × 220 +C = + 0.3 + 3.5 = 1.25 + 3.8 = 5.05mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.65
(b)under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
49
OF
152
PR (9.81Hρ / 106 ) R + +C St E − 0.6 P St E − 0.6(9.81Hρ / 106 )
0.65 × 220 9.81 × 2.166 × 1000 / 106 × 220 = + + 0.3 + 3.5 174.6 × 0.85 − 0.6 × 0.65 174.6 × 0.85 − 0.6 × (9.81 × 2.166 × 1000 / 106 ) = 0.97 + 0.032 + 3.8 = 4.802mm (c) With supplemental loading by flange and cover ●
Weight of flange and cover
W = 193 kg
●
Bending moment due to supplemental loading Under operating condition
M1 = 193×9.81×0.162 = 307 N·m
Under cover opened condition
M2 = 193×9.81×0.462 =875 N·m
Per UG-27(c) and Appendix L, Use S = 136 × 1.5 = 204 MPa (see UG-23(c))
PR M + 21 +C 2SE + 0.4 P πR SE 0.65 × 220 307 = + + 0.3 + 3.5 2 2 × 204 × 0.85 + 0.4 × 0.65 π × 220 × 204 × 0.85 = 0.42 + 0.00002 + 3.8 ≈ 4.23mm
t3 =
t4 =
M2 875 +C = + 0.3 + 3.5 = 0.000034 + 3.8 ≈ 3.81mm 2 2 πR SE π × 220 × 204 × 0.85
(2) Provided thickness Nominal thickness (mm) 12.0 > tmin1, tmin2, t3, t4
OK
(3) Check extreme fiber elongation for paragraph UCS-79 Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: for single curvature
r=
50t ⎛ R f ⎞ 50 × 12 ⎛ 222.5 ⎞ ⎜⎜1 − ⎟⎟% = × ⎜1 − ⎟% = 2.70% < 5% Rf ⎝ R0 ⎠ 222.5 ⎝ ∞ ⎠
None of the condition list in UCS-79 (d) (1-5) exists, so no heat treatment after cold forming need to apply. 5-2-6
FOR NOZZLE W1
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-105M
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
temperature ● Allowable
●
OF
152
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
1745
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
17.5
tstd (mm)
:
2.77
Rs
:
903.5
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
50
stress of nozzle neck material at test
temperature ●Material
PAGE
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 17.5 +C = + 2.6 = 3.59mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 17.5 9.81 × 1.745 × 1000 / 106 × 17.5 + + 3.5 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 1.745 × 1000 / 106 ) = 0.07 + 0.002 + 3.5 = 3.572mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 2.6 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
51
OF
152
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.77 + 2.6 = 5.02 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 5.02 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 6.5 ≥ t 5-2-7
OK
FOR NOZZLE V1
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-105M
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
1752
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
25
tstd (mm)
:
2.87
Rs
:
903.5
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside
(1)
allowance (designated by customer)
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1
(mm)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
52
OF
152
Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 25 +C = + 3.5 = 3.63mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2
PRo (9.81Hρ / 106 ) Ro = + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 25 9.81 × 1.752 × 1000 / 106 × 25 + + 3.5 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 1.752 × 1000 / 106 ) = 0.1 + 0.003 + 3.5 = 3.603mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 2.6 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.87 + 2.6 = 5.12 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 5.12 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.0 ≥ t OK 5-2-8
FOR NOZZLE W3
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-105M
Sd (MPa)
:
129.3
St (MPa)
:
165.3
:
SA-516MGr.485
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material
of shell
●Allowable
stress of shell at design temperature
Ss (MPa)
:
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
53
OF
152
136 ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
H (m)
:
1740
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
12.5
tstd (mm)
:
2.31
Rs
:
903.5
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
(1)
allowance (designated by customer)
radius of nozzle neck
●Nominal ●Inside
E
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 129.3 ×1.00 = 49.78 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 12.5 +C = + 3.5 = 3.57mm S d E + 0.4 P 129.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 12.5 9.81 × 1.74 × 1000 / 106 × 12.5 + + 3.5 165.3 × 1 + 0.4 × 0.65 165.3 × 1 + 0.4 × (9.81 × 1.74 × 1000 / 106 ) = 0.05 + 0.002 + 3.5 = 3.552mm =
(2)
Minimum required thickness of shell (nozzle R.O) for par. UG-45 (b) (1), and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 2.6 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 2.31 + 2.6 = 4.62 mm t = (the smaller value of ts or tp)
per UG-45(b)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
54
OF
152
= 4.62 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 7.5 ≥ t 5-2-9
FOR NOZZLE
OK
Y1
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-106Gr.B
Ss (MPa)
:
125.3
H (m)
:
1.178
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
57.15
tstd (mm)
:
6.02
Rs
:
170.17
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell (nozzle H)
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside
(1)
allowance (designated by customer)
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 57.15 +C = + 3.5 = 3.8mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
55
OF
152
Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 57.15 9.81 × 1.178 × 1000 / 106 × 57.15 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.178 × 1000 / 106 ) = 0.24 + 0.01 + 3.5 = 3.75mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 170.17 +C = + 3.5 = 4.39mm < 2.5 + 3.5 =6.0 mm S s Es + 0.4 P 125.3 × 1 + 0.4 × 0.65
ts = 6.0 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 ×6.02 + 3.5 = 8.77 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 6.0 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
5-2-10
FOR NOZZLE
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-106Gr.B
Ss (MPa)
:
125.3
H (m)
:
1.205
ρ(kg/m3)
:
1000
●Material
I
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
ASME SEC.Ⅷ DIV.1 UG-45
of shell (nozzle H)
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density
of test medium at test temperature (water)
DOC. NO.: 2011-83-1-86811-342-0
● Type
REV.: 0
PAGE
efficiency of nozzle neck
●Corrosion ●Outside
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
84.15
tstd (mm)
:
7.11
●Inside
Rs
:
170.17
E
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
OF
152
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
56
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 84.15 +C = + 3.5 = 3.94mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 84.15 9.81 × 1.205 × 1000 / 106 × 84.15 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.205 × 1000 / 106 ) = 0.35 + 0.01 + 3.5 = 3.86mm =
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 170.17 +C = + 3.5 = 4.39mm <2.5 + 3.5 = 6.0 mm S s Es + 0.4 P 125.3 × 1 + 0.4 × 0.65
ts = 6.0 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 ×7.11 + 3.5 = 9.72 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 6.0 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 10.97 Minimum thickness (mm) 10.97×0.875 = 9.6 ≥ t OK
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
OF
152
FOR NOZZLE
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516MGr.485
Ss (MPa)
:
136
H (m)
:
1.298
ρ(kg/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
177.8
tstd (mm)
:
9.53
Rs
:
903.5
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
ASME SEC.Ⅷ DIV.1 UG-45
of nozzle neck
● Allowable
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
thickness of the standard wall pipe(B36.10M)
radius of shell corroded
E C
(mm)
5-2-11-a: for large section (OD. = 355.6 mm) (1)
57
5-2-11
●Material
H
PAGE
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 177.8 +C = + 3.5 = 4.43mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
58
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 177.8 9.81 × 1.298 × 1000 / 106 × 177.8 = + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.298 × 1000 / 106 ) = 0.72 + 0.015 + 3.5 = 4.235mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.84 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
5-2-11-b: for conical reducer (α=11.7°) (1)
Minimum required thickness of conical reducer for par. UG-45 (a) (a) under design condition Required minimum thickness including allowance (for the large end):
tmin 1 =
PD 0.65 × 355.6 +C = + 3.5 = 4.45mm 2 cosα( S d E − 0.6 P) 2 × cos11.7(125.3 × 1 − 0.6 × 0.65)
Required minimum thickness including allowance (for the small end):
tmin 1 =
PD 0.65 × 219.1 +C = + 3.5 = 4.09mm 2 cosα( S d E − 0.6 P) 2 × cos11.7(125.3 × 1 − 0.6 × 0.65)
(b) under hydrostatic test condition Required minimum thickness including allowance (for the large end):
tmin 2 =
PD (9.81Hρ/ 106 ) D + +C 2 cosα( S d E − 0.6 P) 2 cosα[ S d E − 0.6(9.81Hρ/ 106 )]
DOC. NO.: 2011-83-1-86811-342-0
=
REV.: 0
PAGE
59
OF
152
0.65 × 355.6 (9.81 × 1.298 × 1000 / 106)× 355.6 + + 3.5 2 × cos11.7(160.6 × 1 − 0.6 × 0.65) 2 cos11.7[160.6 × 1 − 0.6 × (9.81 × 1.298 × 1000 / 106 )]
= 0.74 + 0.015 + 3.5 = 4.255 mm Required minimum thickness including allowance (for the small end):
tmin 2 =
=
PD (9.81Hρ/ 106 ) D + +C 2 cosα( S d E − 0.6 P) 2 cosα[ S d E − 0.6(9.81Hρ/ 106 )]
0.65 × 219.1 (9.81 × 1.23 × 1000 / 106)× 219.1 + + 3.5 2 × cos11.7(160.6 × 1 − 0.6 × 0.65) 2 cos11.7[160.6 × 1 − 0.6 × (9.81 × 1.23 × 1000 / 106 )]
= 0.46 + 0.01 + 3.5 = 3.97 mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.84 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
5-2-11-c: for small section (OD. = 219.1 mm THK. =12.7 mm ) (1)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2405 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 109.55 +C = + 3.5 = 4.07mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0
tmin 2 =
REV.: 0
PAGE
60
OF
152
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 109.55 9.81 × 1.23 × 1000 / 106 × 109.55 = + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 1.23 × 1000 / 106 ) = 0.45 + 0.009 + 3.5 = 3.959mm (2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PRs 0.65 × 903.5 +C = + 3.5 = 4.34 + 3.5 = 7.84mm>2.5 + 3.5 = 6.0 mm S s Es − 0.6 P 136 × 1 − 0.6 × 0.65
ts = 7.84 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.84 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 12.7 Minimum thickness (mm) 12.7×0.875 = 11.11 ≥ t
OK
5-2-12
FOR NOZZLE D2
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516M Gr.485
Ss (MPa)
:
136
H (m)
:
0.420
ρ(k/m3)
:
1000
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of shell
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside
(1)
thickness of the standard wall pipe(B36.10M)
diameter of ellipsoidal head (corroded)
OF
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
406.4
tstd (mm)
:
7.11
D
:
1807
E
allowance (designated by customer)
61
C
(mm)
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 84.15 +C = + 3.5 = 3.94mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 84.15 9.81 × 0.42 × 1000 / 106 × 84.15 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 0.42 × 1000 / 106 ) = 0.35 + 0.003 + 3.5 = 3.853mm =
(2)
Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PD 0.65 × 1807 +C = + 3.5 = 4.33 + 3.5 = 7.83mm>2.5 + 3.5 = 6.0 mm 2S s Es − 0.2 P 2 × 136 × 1 − 0.2 × 0.65
ts = 7.83 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 7.11 + 3.5 = 9.73 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.83 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 10.97 Minimum thickness (mm) 10.97×0.875 = 9.6 ≥ t OK
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
5-2-13 FOR ANNECTENT NOZZLE OF TANK AND
PAGE
62
OF
152
ASME SEC.Ⅷ DIV.1 UG-45
TOWER ●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-516M Gr.485
●Material
of nozzle neck
● Allowable
Sd (MPa)
temperature ● Allowable
●
: 174.6
stress of nozzle neck material at test St (MPa)
temperature ●Material
136
stress of nozzle neck material at design
of shell
: :
SA-516M Gr.485
Ss (MPa)
:
136
H (m)
:
3.542
ρ(k/m3)
:
1000
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
Type No. (1) :
UW-12 ●Radiographic
examination
:
SPOT Per UW-11(b)
●Joint
efficiency (specified in UW-12)
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Inside ●Final
thickness of the standard wall pipe(B36.10M)
diameter of ellipsoidal head (corroded)
center line radius of nozzle
●Original
(1)
allowance (designated by customer)
center line radius of nozzle
E
:
0.85
(mm)
:
3.5
Ro (mm)
:
406.4
tstd (mm)
:
9.53
D
:
1807
Rf (mm)
:
398.4
R0 (mm)
:
∞(Infinity)
C
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 136 ×0.85 = 44.506 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
(mm)
DOC. NO.: 2011-83-1-86811-342-0
tmin 1 =
REV.: 0
PAGE
63
OF
152
PR 0.65 × 406.4 +C = + 3.5 = 2.3 + 3.5 = 5.8mm S d E − 0.6 P 136 × 0.85 − 0.6 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PR (9.81Hρ / 106 ) R + +C St E − 0.6 P St E − 0.6(9.81Hρ / 106 )
0.65 × 406.4 9.81 × 3.542 × 1000 / 106 × 406.4 + + 3.5 174.6 × 0.85 − 0.6 × 0.65 174.6 × 0.85 − 0.6 × (9.81 × 3.542 × 1000 / 106 ) = 1.79 + 0.1 + 3.5 = 5.39mm
=
(2)
Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
0.65 × 1807 PD + 3.5 = 4.33 + 3.5 = 7.83mm>2.5 + 3.5 = 6.0 mm +C = 2S s Es − 0.2 P 2 × 136 × 1 − 0.2 × 0.65
ts = 7.83 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.53 + 2.6 = 10.94 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.83 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 16.0 ≥ t OK
(5)
Maximum allowable fiber elongation without post weld heat treatment is based on the following formula: for single curvature
r=
50t ⎛ R f ⎞ 50 × 16 ⎛ 398.4 ⎞ ⎟⎟% = ⎜⎜1 − × ⎜1 − ⎟ % = 2.1% < 5% Rf ⎝ R0 ⎠ 398.4 ⎝ ∞ ⎠
None of the condition list in UCS-79 (d) (1-5) exists, so no heat treatment after cold forming need to apply. 5-2-14
FOR NOZZLE OF STEAM SEPARATOR
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
temperature ● Allowable
OF
152
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-516M Gr.485
Ss (MPa)
:
136
H (m)
:
0.321
ρ(k/m3)
:
1000
:
Seamless
:
1.0
(mm)
:
3.5
Ro (mm)
:
177.8
tstd (mm)
:
9.53
D
:
1807
of shell
Allowable stress of shell (or head) at design
●
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
●Inside
allowance (designated by customer)
radius of nozzle neck
●Nominal
(1)
64
stress of nozzle neck material at test
temperature ●Material
PAGE
thickness of the standard wall pipe(B36.10M)
diameter of ellipsoidal head (corroded)
E C
(mm)
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 177.8 +C = + 3.5 = 4.43mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + +C St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 177.8 9.81 × 0.321 × 1000 / 106 × 177.8 + + 3.5 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 0.321 × 1000 / 106 ) = 0.72 + 0.004 + 3.5 = 4.224mm
=
(2)
Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
ts =
PD 0.65 × 1807 +C = + 3.5 = 4.33 + 3.5 = 7.83mm>2.5 + 3.5 = 6.0 mm 2S s Es − 0.2 P 2 × 136 × 1 − 0.2 × 0.65
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
65
OF
152
ts = 7.83 mm (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 9.53 + 3.5 = 11.8 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 7.83 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
5-2-15
FOR NOZZLE G
ASME SEC.Ⅷ DIV.1 UG-45
●Design
pressure
P (MPa)
:
0.65
●Design
temperature
T (℃)
:
300
:
SA-106Gr.B
Sd (MPa)
:
125.3
St (MPa)
:
160.6
:
SA-105M
Ss (MPa)
:
129.3
H (m)
:
0.185
ρ(k/m3)
:
1000
:
Seamless
:
1.0
:
3.5
Ro (mm)
:
44.45
tstd (mm)
:
5.49
D
:
535
●Material
of nozzle neck
● Allowable
stress of nozzle neck material at design
temperature ● Allowable
stress of nozzle neck material at test
temperature ●Material ●
of blind flange
Allowable stress of shell (or head) at design
temperature ●Height
to point under consideration
●Density ● Type
of test medium at test temperature (water)
of welded joints of nozzle neck in TABLE
UW-12 ●Joint
efficiency of nozzle neck
●Corrosion ●Outside
radius of nozzle neck
●Nominal ●Long
allowance (designated by customer)
thickness of the standard wall pipe(B36.10M)
span of cover measured perpendicular to short
E C2
(mm)
(mm)
span(corroded) ●
Factor
C
:
0.3
●
Diameter, measured as indicated in Fig. UG-34
d ( mm )
:
425.3
DOC. NO.: 2011-83-1-86811-342-0
(1)
REV.: 0
PAGE
66
OF
●
Gasket moment arm,as shown in table 2-5-2
hG (mm)
:
25.5
●
Effective gasket sealing width
b (mm)
:
12.1
152
Minimum required thickness of nozzle neck for par. UG-45 (a) 0.385SE = 0.385× 125.3 ×1.00 = 48.2045 > P (a) under design condition Appendix 1-1 Required minimum thickness including allowance
tmin 1 =
PRo 0.65 × 44.45 + C2 = + 3.5 = 3.74mm S d E + 0.4 P 125.3 × 1 + 0.4 × 0.65
(b) under hydrostatic test condition Required minimum thickness including allowance
tmin 2 =
PRo (9.81Hρ / 106 ) Ro + + C2 St E + 0.4 P St E + 0.4(9.81Hρ / 106 )
0.65 × 44.45 9.81 × 0.185 × 1000 / 106 × 44.45 + 3.5 + 160.6 × 1 + 0.4 × 0.65 160.6 × 1 + 0.4 × (9.81 × 0.185 × 1000 / 106 ) = 0.18 + 0.0006 + 3.5 = 3.69mm
=
(2)
Minimum required thickness of covers for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00 (a) under operating condition UG-34(C)-(3) Appendix 2-5 Required minimum thickness including allowance W:total bolt load, given for circular heads for Formulas (4) 2-5 (e) Wm1 = 0.785G2P + (2b×3.14GmP) = 0.785×425.32×0.65 + (2×12.1×3.14×425.3×1.25×0.65) = 92294.1 + 26258.1 = 118552.2 N
t sa = d CP / SE + 1.9WhG / SEd 3 + C2
= 425.3 × 0.3 × 0.65 / 129.3 × 1.0 + 1.9 × 118552.2 × 25.5 / 129.3 × 1 × 425.33 + 3.5 = 19.5 + 3.5 = 23.0 mm> 2.5 + 3.5 = 6.0 mm tsa = 23.0 mm (b) under gasket seating condition
UG-34(C)-(3) Appendix 2-5
Required minimum thickness including allowance W:total bolt load, given for circular heads for Formulas (5) 2-5 (e) W=
( Am + Ab ) S a 2
Am: Total required bolt aream, Am = max.(Am1, Am2)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
67
OF
152
Am1 = Wm1/Sb = 118552.2/287 = 413.1 mm2 Am2 = Wm2/Sa Wm2 = 3.14bGγ= 3.14×12.1×425.3×2.8 = 45244.8 N Am2 = Wm2/Sa = 45244.8/287 = 157.7 mm2 Am = max.(Am1, Am2) = 413.1 mm2 Ab = 0.785 ndB2 =0.785×12×272 = 6867.18 mm2 W=
( Am + Ab ) S a (413.1 + 6867.18) × 287 = 2 2
= 1044720.18 N
tsb = d CP / SE + 1.9WhG / SEd 3 + C2
= 425.3 × 0.3 × 0 / 165.3 × 1.0 + 1.9 × 1044720.18 × 25.5 / 165.3 × 1 × 425.33 + 3.5 = 26.9 + 3.5 = 30.4 mm> 2.5 + 3.5 = 6.0 mm tsb = 30.4 mm ts: the larger of (tsa, tsb) = 30.4 mm2 (3)
Minimum thickness of standard wall pipe including allowance for par. UG-45 (b) (4)
tp = 0.875tstd + C = 0.875 × 5.49 + 3.5 = 8.31 mm t = (the smaller value of ts or tp)
per UG-45(b)
= 8.31 mm. > tmin1,tmin2 (4)
Provided thickness Nominal thickness (mm) 11.13 Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t
OK
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
68
OF
152
6. Max. Allowable working pressure (corroded) The maximum allowable working pressure may be assumed to be the same as the design pressure when calculations are not made to determine the maximum allowable working pressure. (ASME SEC.Ⅷ DIV.1 UG-99 notes: 34) So we take the maximum allowable working pressure is 0.65 MPa at 300 ℃
DOC. NO.: 2011-83-1-86811-342-0
7.
REV.: 0
PAGE
69
OF
152
HYDROSTATIC TEST PRESSURE AND TEMPERATURE ASME SEC. Ⅷ
DIV.1 UG-99 AND
PED/97/23/EC ANNEX Ⅰ ●Maximum
allowable working pressure (Hot & Corroded) *
●Hydrostatic ●Design ●Test
temperature
●Material
:
0.65 at 300 ℃
(MPa)
:
1.04
(℃)
:
300
(℃)
:
5~40
(℃)
:
-29
:
See table 7.1
test pressure
temperature
●Minimum
(MPa)
design metal temperature
of parts of the vessel
●Allowable
stress of vessel wall at design temperature
Sd (MPa)
:
See table 7.1
●Allowable
stress of vessel wall at test temperature
St (MPa)
:
See table 7.1
*: The maximum allowable working pressure may be assumed to be the same as the design pressure. (specified in UG-99 note34) (1)
Minimum required test pressure per PED/97/23/EC annex Ⅰ Table 7.1 Hydrostatic Test Pressure per PED/97/23/EC annex Ⅰ Shell
Head
Nozzle B
Ps MAWP (MPa)
Nozzle E
Flange
0.2
Material
SA-516MGr.485
SA-516MGr.485
SA-105M
SA-516MGr.485
SA-106Gr.B
SA-105M
St(MPa)
174.6
174.6
165.3
174.6
160.6
165.3
Sd(MPa)
136
136
129.3
136
125.3
129.3
1.2839
1.2839
1.2785
1.2839
1.2818
1.2785
ratio of (St/Sd)
1.2785
The lowest ratio of (St/Sd)
1.04
PT1(MPa): 1.25×min(St/Sd)×Ps
PT2(MPa): 1.43×Ps
0.93
PT(MPa): Max(PT1 , PT2)
1.04
PHT(MPa): Min. Req.
1.04
Hydrostatic test
(2)
Nozzle A.C.D.F.G.H1-4.I1-2
Provided test pressure
per UG-99 (h)
Hydrostatic test pressure (MPa) is 1.04 at 5~40℃
DOC. NO.: 2011-83-1-86811-342-0
8.
REV.: 0
PAGE
70
OF
152
REINFORCEMENT FOR OPENINGS 8-1 DEAERATOR′S TANK:
8-1-1
For manhole A1 (DN500) per UG-37
●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-516MGr.485
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 136
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
D
: 2805.2
●Inside
diameter of ellipsoidal head (corroded)
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
(mm)
t (mm)
: 11.32
Rno(mm)
: 254
Rn (mm)
: 244.6
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 9.6
●Finished
diameter of opening corroded
d (mm)
: 489.2
tnc (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
●Material
of the reinforcing pad
●Allowable
●Outside
factor
stress of reinforcing pad at design temperature
diameter of reinforcing pad
●Nominal
thickness of reinforcing pad
8-1-1-1 Size of opening
: SA-516MGr.485 Sp (MPa)
: 136
Dp (mm)
: 840
te
(mm)
12
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
71
OF
152
Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 489.2 mm, so supplemental rules of 1-7 are not applied. 8-1-1-2 Wall thicknesses Required ellipsoidal head
tr =
Required thickness of a seamless shell tr (E=1.0)
PD 0.65 × 2805.2 = 6.71mm = 2 S d E − 0.2 P 2 × 136 × 1.0 − 0.2 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 0.65 × 254 = 1.22mm = S n E1 + 0.4 P 136 × 1 + 0.4 × 0.65
8-1-1-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1= Sn/SV= 136/136 = 1.0 Strength reduction factor for nozzle fr2 fr2= Sn/SV = 136/136 = 1.0 Strength reduction factor for all parts fr3 fr3= (less of Sn or Sp)/SV = 136/136 = 1.0 Strength reduction factor for reinforcing pad fr4 fr4= Sp/SV = 136/136 = 1.0 8-1-1-4 Size of weld required [UW-16(d),Fig.UW-16.1 Sketch (q)] 8-1-1-4(a) Inner (reinforcing pad) fillet weld size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 13.92 , 12.0 ) = 12.0 mm tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×12.0 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm 8-1-1-4(b) Outer (reinforcing pad) fillet weld:
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
72
OF
152
Throat = 1/2 tmin= 0.5 × 12.0 = 6.0 mm ( minimum throat required ) Throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm (actual) 8-1-1-4(c) Upper groove weld: tw = 0.7 tmin = 0.7 × 12.0 = 8.4 mm ( required ) tw = 12mm (actual) The weld size used is satisfactory. 8-1-1-4(d) Check for limits of reinforcement: 8-1-1-4(d) (1) Limit parallel to the vessel wall: larger of d = 489.2 mm
or Rn + tn + t = 244.6 + 9.6 + 11.32 = 265.52 mm
Use 489.2 mm 8-1-1-4(d) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×11.32 =28.3 mm or 2.5tn+te = 2.5×9.4 + 12 = 35.5 mm
Use 28.3 mm 8-1-1-5 Area of reinforcement required [UG-37] 8-1-1-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 489.2 × 6.71 × 1.0 + 2 × 9.4 × 6.71 × 1.0 × (1 − 1.0) = 3282.6 + 0 = 3282.6 mm2 8-1-1-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 489.2×(1.0×11.32-1×6.71)-2×9.4×(1.0×11.32-1.0×6.71)×(1-1.0) = 2255.2 – 0 = 2255.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(11.32 + 9.4) × (1.0×11.32-1×6.71)-2×9.4× (1.0×11.32-1.0×6.71)×(1-1.0) = 191 – 0 = 191 mm2 A1= the larger of (A11,A12)= 2255.2 mm2 8-1-1-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (9.4 − 1.22 ) × 1.0 × 11.32 = 462.9mm 2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
73
OF
152
A22 = 2(tn − trn )(2.5tn + te ) f r 2 = 2 × (9.4 − 1.22) × (2.5 × 9.4 + 12) × 1.0 = 580.7mm2 A2=the smaller of (A21, A22) = 462.9 mm2 8-1-1-5(d) Area available in welds A4 8-1-1-5(d)(1) Area available in outward weld A41 A41= (leg)^2 × fr3 = 9.0 × 9.0 × 1.0 = 81 Sq. mm A42= (leg)^2 × fr4 = 9.0 × 9.0 × 1.0 = 81 Sq. mm 8-1-1-5(e)
Area provided by:
A1 +A2 +A41 +A42 = 2255.2 + 462.9 + 81 +81 = 2880.1 Sq. mm 8-1-1-5(f) Area available in reinforcing pad: A5 = (Dp-d-2tn) te fr4 =(840-489.2-2×9.4)×12×1.0 = 3984 Sq. mm 8-1-1-5(g) Total area available A1 +A2 +A41 + A42 + A5 = 2918.1 + 3984 = 6864.1 Sq. mm This is greater than the required reinforcing area of 3282.6 sq. mm; therefore, the opening is adequately reinforced. 8-1-1-6 Check the welds per UW-16 and UW-16.1 (q) 8-1-1-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-1-1-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 462.9 + 3984 + 81 + 81 ) × 136 = 626810.4 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 462.9+ 0 + 81 + 0 + 2 × 9.4 ×11.32 × 1.0 )× 136 = 102913.4 N W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2 tn t fr1) Sv = ( 462.9+ 0 + 3984 + 81 + 81+ 0 + 2 × 9.4 ×11.32 × 1.0 )× 136 = 655753.3 N 8-1-1-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t – F tr )]Sv = [3282.6 –2255.2 + 2× 9.4 × 1.0× (1.0 × 11.32 - 1.00× 6.71)] × 136 = 151513.2 N Since W is smaller than W1-1 and W3-3, W may be used in place of W1-1 and W3-3 for comparing weld capacity to weld load.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
74
OF
152
8-1-1-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-1-1-6-2 (a) Fillet weld shear = 0.49×136 = 66.64 Mpa 8-1-1-6-2 (b) Groove weld tension = 0.74×136 = 100.64 Mpa 8-1-1-6-2 (c) Groove weld shear = 0.6×136 = 81.6 Mpa 8-1-1-6-2 (d) Nozzle wall shear = 0.7×136 = 95.2 Mpa 8-1-1-6-3 Strength of connection elements 8-1-1-6-3 (a) Upper fillet or cover weld = π/2 × nozzle O.D. × weld leg × 66.64 = 1.57 × 508 × 9.0 × 66.64 = 478344.6 N 8-1-1-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 95.2 = 1.57 × 496 × 9.4 × 95.2 = 696860.9 N 8-1-1-6-3 (c) Lower groove weld tension = π/2 × nozzle O.D. × weld leg × 100.64 = 1.57 × 508 × 9.0 × 100.64 = 722397.9 N 8-1-1-6-3 (d) Outer (reinforcing element) fillet weld = π/2 × reinforcing pad O.D. × weld leg × 66.64 = 1.57 × 840 × 9.0 ×66.64 = 790963.5 N 8-1-1-6-3 (e) Upper groove weld tension = π/2 × nozzle O.D. × weld leg × 100.64 = 1.57 × 508 × 9.0 × 100.64 = 722397.9 N 8-1-1-6-4 Check Strength paths Path 1-1 = 790963.5 + 696860.9 = 1487824.4 N >W1-1 = 626810.4 N
OK
Path 2-2 = 478344.6 + 722397.9 + 722397.9 = 1923140.4 N>W2-2 = 102913.4 N Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N>W3-3 = 655753.3 N
OK
OK
Also paths are stronger than the required strength of W of 151513.2 N [see UG-41 (b) (2)] thus, the Weld Strength Paths Are Adequate. 8-1-2
For steam connect nozzle B and water connect nozzle Q (DN200) per UG-37
●Internal
design pressure
P (MPa)
: 0.65
DOC. NO.: 2011-83-1-86811-342-0
●Design
REV.: 0
PAGE
(℃)
temperature
●Material
of the vessel wall
●Allowable ●Material
stress of the vessel wall at design temperature
75
OF
: 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 109.55
Rn (mm)
: 99.45
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 10.1
●Finished
diameter of opening corroded
d (mm)
: 198.9
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-1-2-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 198.9 mm, so supplemental rules of 1-7 are not applied. 8-1-2-2 Wall thicknesses Required Shell
tr =
Required thickness of a seamless shell tr (E=1.0)
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
t rn =
PRno 0.65 × 109.55 = = 0.57mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
76
OF
152
8-1-2-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9214 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9214 8-1-2-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)] 8-1-2-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0, 12.7 ) = 12.7 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7×12.7 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-1-2-4(b) Check for limits of reinforcement: 8-1-2-4(b) (1) Limit parallel to the vessel wall: larger of d = 198.9 mm or Rn + tn + t = 99.45 + 10.1 + 13.4 = 122.95 mm Use 98.9 mm 8-1-2-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5×10.1 + 0 = 25.25 mm
Use 25.25 mm 8-1-2-5 Area of reinforcement required [UG-37] 8-1-2-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 198.9 × 6.73 × 1.0 + 2 × 10.1 × 6.73 × 1.0 × (1 − 0.9213) = 1338.6 + 10.7 = 1349.3 mm2 8-1-2-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 )
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
77
OF
152
= 198.9×(1.0×13.4-1×6.73)-2×10.1×(1.0×13.4-1.0×6.73)×(1-0.9213) = 1326.6 – 10.6 = 1316 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 10.1) × (1.0×13.4-1×6.73)-2×10.1× (1.0×13.4-1.0×6.73)×(1-0.9213) = 313.5 – 10.6 = 302.9 mm2 A1 = the larger of (A11,A12) = 1316 mm2 8-1-2-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (10.1 − 0.57 ) × 0.9213 × 13.4 = 588.3mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (10.1 − 0.57 ) × 0.9213 × 10.1 = 443.4mm2 A2=the smaller of (A21, A22) = 443.4 mm2 8-1-2-5(d) Area available in welds A4 8-1-2-5(d)(1) Area available in outward weld A41 8-1-2-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 1316 + 443.4 + 74.6 = 1834 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-2-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]
8-1-3
For recycling nozzle C1-2
●Internal ●Design
and reboiling nozzle M (DN80)
design pressure
temperature
●Material
P (MPa) (℃)
of the vessel wall
●Allowable ●Material
per UG-37
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
●Inside
radius of shell corroded
●Analysis
thickness of the vessel wall corroded
DOC. NO.: 2011-83-1-86811-342-0
●Outside
●Inside
REV.: 0
radius of the nozzle
radius of the nozzle corroded
PAGE
78
OF
Rno(mm)
: 44.45
Rn (mm)
: 35.92
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 8.53
●Finished
diameter of opening corroded
d (mm)
: 71.84
●Leg
length of outward nozzle fillet weld
Weld leg (mm)
: 12.0
●Leg
length of inward nozzle fillet weld
Weld leg (mm)
: 12.0
θ (deg)
: 0.0
F
: 1.0
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-1-3-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 71.84 mm, so supplemental rules of 1-7 are not applied. 8-1-3-2 Wall thicknesses Required Shell
Required thickness of a seamless shell tr (E=1.0)
tr =
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 0.65 × 44.45 = = 0.24mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-3-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV=125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV =125.3/136 = 0.9213 8-1-3-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (i)] 8-1-3-4(a) throat size of weld required UW-16(b)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
79
OF
152
t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0 , 11.13 ) = 11.13 mm t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 12.0 mm Weld 43, actual weld leg = 12.0 mm t1 or t2 = 0.7 × weld size = 0.7 ×12.0 = 8.4 mm (actual)
1 tmin = 13.9125 mm 4 1 t1 + t2 = 8.4 + 8.4 = 16.8 > 1 tmin = 13.9125 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-1-3-4(b) Check for limits of reinforcement: 8-1-3-4(b) (1) Limit parallel to the vessel wall: larger of
d= 71.84 mm
or
Rn + tn + t = 35.92 + 8.53 + 13.4 = 57.85 mm
Use 71.84 mm 8-1-3-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 =33.5 mm or 2.5tn+te = 2.5×8.53 + 0 = 21.325 mm
Use 21.325 mm 8-1-3-5 Area of reinforcement required [UG-37] 8-1-3-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 71.84 × 6.73 × 1.0 + 2 × 8.53 × 6.73 × 1.0 × (1 − 0.9213) = 483.5 + 9.1 = 492.6 mm2 8-1-3-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 71.84×(1×13.4-1×6.73)-2×8.53×(1×13.4-1.0×6.73)×(1-0.9213) = 479.2 – 9.0 = 470.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 )
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
80
OF
152
=2(13.4 + 8.53) × (1×13.4-1×6.73)-2×8.53× (1×13.4-1.0×6.73) × (1-0.9213) = 292.5 – 9.0 = 283.5 mm2 A1=the larger of (A11,A12)= 470.2 mm2 8-1-3-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (8.53 − 0.24) × 0.9213 × 13.4 = 511.7mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (8.53 − 0.24) × 0.9213 × 8.53 = 325.7mm2 A2= the smaller of (A21, A22) = 325.7 mm2 8-1-3-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [345, 33.5 , 21.325] = 21.325 mm
A31 = 5tt j f r 2 = 5 × 13.4 × 8.53 × 0.9213 = 526.5mm 2
A32 = 5t j t j f r 2 = 5 × 8.53 × 8.53 × 0.9213 = 335.1mm 2 A33 = 5ht j f r 2 = 5 × 21.325 × 8.53 × 0.9213 = 837.9mm 2 A3= the smaller of (A31, A32, A33 ) = 335.1 mm2 8-1-3-5(e) Area available in fillet welds A4 8-1-3-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-3-5(e)(2) Area available in inward fillet weld A43 A43= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-3-5(f) Total area available A1 +A2 +A3 +A41 +A43 = 470.2 + 325.7 + 335.1 + 132.6 + 132.6 = 1396.2 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-3-6 Check the welds per UW-16 and UW-16.1 (i) 8-1-3-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-1-3-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 325.7 + 0 + 132.6 + 0) × 136 = 62328.8 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 325.7+ 335.1 + 132.6 + 132.6 +2 × 8.53 × 13.4 × 0.9213)× 136 = 154579.3 N 8-1-3-6-1 (b) Per UG-41 (b) (2)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
81
OF
152
W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [ 492.6 – 470.2 + 2× 8.53× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136 = 17303.9 N Since W is smaller than W1-1 and W2-2, W may be used in place of W1-1 and W2-2 for comparing weld capacity to weld load. 8-1-3-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-1-3-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa 8-1-3-6-2 (b) Nozzle wall shear = 0.7×125.3 = 87.71 Mpa 8-1-3-6-3 Strength of connection elements 8-1-3-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 88.9 × 12.0 ×61.4 = 102837.4 N 8-1-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×77.77×8.53 × 87.71 = 91350.3 N 8-1-3-6-4 Check Strength paths Path 1-1 = 102837.4 + 91350.3 = 194187.7 N Path 2-2 = 102837.4 + 102837.4 = 205674.8 N All paths are stronger than the required strength of W of 17303.9 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-1-4
For safety valve nozzle D1 and outfall nozzle N (DN150) per UG-37
●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
●Inside
radius of shell corroded
DOC. NO.: 2011-83-1-86811-342-0
●Analysis
●Outside
●Inside
REV.: 0
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
PAGE
82
OF
t (mm)
: 13.4
Rno(mm)
: 84.15
Rn (mm)
: 75.78
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 8.37
●Finished
diameter of opening corroded
d (mm)
: 151.56
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-1-4-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 151.56 mm, so supplemental rules of 1-7 are not applied. 8-1-4-2 Wall thicknesses Required Shell
tr =
Required thickness of a seamless shell tr (E=1.0)
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
t rn =
PRno 0.65 × 84.15 = = 0.44mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-4-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9214 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9214 8-1-4-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)] 8-1-4-4(a) throat size of weld required UW-16(b)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
83
OF
152
tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0, 10.97 ) = 10.97 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 10.97 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-1-4-4(b) Check for limits of reinforcement: 8-1-4-4(b) (1) Limit parallel to the vessel wall: larger of d = 151.56 mm or Rn + tn + t = 75.78 + 8.37 + 13.4 = 97.55 mm Use 151.56 mm 8-1-4-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5×8.37 + 0 = 20.925 mm
Use 20.925 mm 8-1-4-5 Area of reinforcement required [UG-37] 8-1-4-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 151.56 × 6.73 × 1.0 + 2 × 8.37 × 6.73 × 1.0 × (1 − 0.9213) = 1020 + 8.9 = 1028.9 mm2 8-1-4-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 151.56×(1.0×13.4-1×6.73)-2×8.37×(1.0×13.4-1.0×6.73)×(1-0.9213) = 1011 – 8.8 = 1002.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 8.37) × (1.0×13.4-1×6.73)-2×8.37× (1.0×13.4-1.0×6.73)×(1-0.9213) = 290.4 – 8.8 = 281.6 mm2 A1 = the larger of (A11,A12) = 1002.2 mm2 8-1-4-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (8.37 − 0.44) × 0.9213 × 13.4 = 489.5mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
84
OF
152
A22 = 5(tn − trn ) f r 2tn = 5 × (8.37 − 0.44) × 0.9213 × 8.37 = 305.7mm 2 A2=the smaller of (A21, A22) = 305.7 mm2 8-1-4-5(d) Area available in welds A4 8-1-4-5(d)(1) Area available in outward weld A41 8-1-4-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 1002.2 + 305.7 + 74.6 = 1382.5 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-4-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]
8-1-5
For steam inlet nozzle K (DN200)
●Internal ●Design
per UG-37
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 109.55
Rn (mm)
: 99.45
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 10.1
●Finished
diameter of opening corroded
d (mm)
: 198.9
●Leg
length of outward nozzle fillet weld
Weld leg (mm)
: 12.0
●Leg
length of inward nozzle fillet weld
Weld leg (mm)
: 12.0
DOC. NO.: 2011-83-1-86811-342-0
●Angle
REV.: 0
of plane with longitudinal axis
●Correction
factor
PAGE
85
θ (deg)
: 0.0
F
: 1.0
OF
152
8-1-5-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 198.9 mm, so supplemental rules of 1-7 are not applied. 8-1-5-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
t rn =
PRno 0.65 × 109.55 = = 0.57mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-5-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV=125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV =125.3/136 = 0.9213 8-1-5-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (i)] 8-1-5-4(a) throat size of weld required UW-16(b) t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0 , 12.7 ) = 12.7 mm t1 or t2 ≥ min.( 6 , 0.7×12.7 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 12.0 mm Weld 43, actual weld leg = 12.0 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
86
OF
152
t1 or t2 = 0.7 × weld size = 0.7 ×12.0 = 8.4 mm (actual)
1 tmin = 15.875 mm 4 1 t1 + t2 = 8.4 + 8.4 = 16.8 > 1 tmin = 15.875 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-1-5-4(b) Check for limits of reinforcement: 8-1-5-4(b) (1) Limit parallel to the vessel wall: larger of
d= 198.9 mm
or
Rn + tn + t = 99.45 + 10.1 + 13.4 = 122.95 mm
Use 198.9 mm 8-1-5-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 =33.5 mm or 2.5tn+te = 2.5×10.1 + 0 = 25.25 mm
Use 25.25 mm 8-1-5-5 Area of reinforcement required [UG-37] 8-1-5-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 198.9 × 6.73 × 1.0 + 2 × 10.1 × 6.73 × 1.0 × (1 − 0.9213) = 1338.6 + 10.7 = 1349.3 mm2 8-1-5-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 198.9×(1×13.4-1×6.73)-2×10.1×(1×13.4-1.0×6.73)×(1-0.9213) = 1326.6 – 10.6 = 1316 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 10.1) × (1×13.4-1×6.73)-2×10.1× (1×13.4-1.0×6.73) × (1-0.9213) = 313.5 – 10.6 = 302.9 mm2 A1=the larger of (A11,A12)= 1316 mm2 8-1-5-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (10.1 − 0.57 ) × 0.9213 × 13.4 = 588.3mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (10.1 − 0.57 ) × 0.9213 × 10.1 = 443.4mm2 A2= the smaller of (A21, A22) = 443.4 mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
87
OF
152
8-1-5-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [810, 33.5 , 25.25] = 25.25 mm
A31 = 5tt j f r 2 = 5 × 13.4 × 10.1 × 0.9213 = 623.4mm 2 A32 = 5t j t j f r 2 = 5 × 10.1 × 10.1 × 0.9213 = 469.9mm 2 A33 = 5ht j f r 2 = 5 × 25.25 × 10.1 × 0.9213 = 1174.8mm 2 A3= the smaller of (A31, A32, A33 ) = 469.9 mm2 8-1-5-5(e) Area available in fillet welds A4 8-1-5-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-5-5(e)(2) Area available in inward fillet weld A43 A43= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-5-5(f) Total area available A1 +A2 +A3 +A41 +A43 = 1316 + 443.4 + 469.9 + 132.6 + 132.6 = 2494.5 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-5-6 Check the welds per UW-16 and UW-16.1 (i) 8-1-5-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-1-5-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 443.4 + 0 + 132.6 + 0) × 136 = 78336 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 443.4+ 469.9 + 132.6 + 132.6 +2 × 10.1 × 13.4 × 0.9213)× 136 = 194191.3 N 8-1-5-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [ 1349.3 – 1316 + 2× 10.1× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136 = 21410.5 N Since W is smaller than W1-1 and W2-2, W may be used in place of W1-1 and W2-2 for comparing weld capacity to weld load. 8-1-5-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-1-5-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa 8-1-5-6-2 (b) Nozzle wall shear
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
88
OF
152
= 0.7×125.3 = 87.71 Mpa 8-1-5-6-3 Strength of connection elements 8-1-5-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 219.1 × 12.0 ×61.4 = 253449.6 N 8-1-5-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×206.4×10.1 × 87.71 = 287064.7 N 8-1-5-6-4 Check Strength paths Path 1-1 = 253449.6 + 287064.7 = 540514.3 N Path 2-2 = 253449.6 + 253449.6 = 506899.2 N All paths are stronger than the required strength of W of 21410.5 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-1-6
For steam leaking from gate pole nozzle L (DN100)
●Internal ●Design
design pressure
temperature
●Material
P (MPa) (℃)
of the vessel wall
●Allowable ●Material
per UG-37
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 57.15
Rn (mm)
: 48.62
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 8.53
●Finished
diameter of opening corroded
d (mm)
: 97.24
Weld leg (mm)
: 12.0
●Leg
length of outward nozzle fillet weld
DOC. NO.: 2011-83-1-86811-342-0
●Leg
REV.: 0
PAGE
length of inward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
89
OF
Weld leg (mm)
: 12.0
θ (deg)
: 0.0
F
: 1.0
152
8-1-6-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 97.24 mm, so supplemental rules of 1-7 are not applied. 8-1-6-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 0.65 × 57.15 = = 0.3mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-6-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV=125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV =125.3/136 = 0.9213 8-1-6-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (i)] 8-1-6-4(a) throat size of weld required UW-16(b) t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0 , 11.13 ) = 11.13 mm t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 12.0 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
90
OF
152
Weld 43, actual weld leg = 12.0 mm t1 or t2 = 0.7 × weld size = 0.7 ×12.0 = 8.4 mm (actual)
1 tmin = 13.9125 mm 4 1 t1 + t2 = 8.4 + 8.4 = 16.8 > 1 tmin = 13.9125 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-1-6-4(b) Check for limits of reinforcement: 8-1-6-4(b) (1) Limit parallel to the vessel wall: larger of
d= 97.24 mm
or
Rn + tn + t = 48.62 + 8.53 + 13.4 = 70.55 mm
Use 97.24 mm 8-1-6-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 =33.5 mm or 2.5tn+te = 2.5×8.53 + 0 = 21.325 mm
Use 21.325 mm 8-1-6-5 Area of reinforcement required [UG-37] 8-1-6-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 97.24 × 6.73 × 1.0 + 2 × 8.53 × 6.73 × 1.0 × (1 − 0.9213) = 654.5 + 9.1 = 663.6 mm2 8-1-6-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 97.24×(1×13.4-1×6.73)-2×8.53×(1×13.4-1.0×6.73)×(1-0.9213) = 648.6 – 9.0 = 639.6 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 8.53) × (1×13.4-1×6.73)-2×8.53× (1×13.4-1.0×6.73) × (1-0.9213) = 292.5 – 9.0 = 283.5 mm2 A1=the larger of (A11,A12)= 639.6 mm2 8-1-6-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (8.53 − 0.3) × 0.9213 × 13.4 = 508mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (8.53 − 0.3) × 0.9213 × 8.53 = 323.4mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
91
OF
152
A2= the smaller of (A21, A22) = 323.4 mm2 8-1-6-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [1400, 33.5 , 21.325] = 21.325 mm
A31 = 5tt j f r 2 = 5 × 13.4 × 8.53 × 0.9213 = 526.5mm 2 A32 = 5t j t j f r 2 = 5 × 8.53 × 8.53 × 0.9213 = 335.1mm 2 A33 = 5ht j f r 2 = 5 × 21.325 × 8.53 × 0.9213 = 837.9mm 2 A3= the smaller of (A31, A32, A33 ) = 335.1 mm2 8-1-6-5(e) Area available in fillet welds A4 8-1-6-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-6-5(e)(2) Area available in inward fillet weld A43 A43= (leg)^2 × fr2 = 12.0 × 12.0 × 0.9213 = 132.6 Sq. mm 8-1-6-5(f) Total area available A1 +A2 +A3 +A41 +A43 = 639.6 + 323.4 + 335.1 + 132.6 + 132.6 = 1563.3 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-6-6 Check the welds per UW-16 and UW-16.1 (i) 8-1-6-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-1-6-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 323.4 + 0 + 132.6 + 0) × 136 = 62016 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 323.4+ 335.1 + 132.6 + 132.6 +2 × 8.53 × 13.4 × 0.9213)× 136 = 154266.5 N 8-1-6-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [ 663.6 – 639.6 + 2× 8.53× 0.9213× (1.0 × 13.4 - 1.0 × 6.73)] *136 = 17521.5 N Since W is smaller than W1-1 and W2-2, W may be used in place of W1-1 and W2-2 for comparing weld capacity to weld load. 8-1-6-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-1-6-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
92
OF
152
8-1-6-6-2 (b) Nozzle wall shear = 0.7×125.3 = 87.71 Mpa 8-1-6-6-3 Strength of connection elements 8-1-6-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 114.3 × 12.0 ×61.4 = 132219.5 N 8-1-6-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×103.17×8.53 × 87.71 = 121185.6 N 8-1-6-6-4 Check Strength paths Path 1-1 = 132219.5 + 121185.6 = 253405.1 N Path 2-2 = 132219.5 + 132219.5 = 264439 N All paths are stronger than the required strength of W of 17303.9 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-1-7
For high level electric offlet nozzle S (DN100) per UG-37
●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 57.15
Rn (mm)
: 48.62
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 8.53
●Finished
diameter of opening corroded
d (mm)
: 97.24
DOC. NO.: 2011-83-1-86811-342-0
●Leg
REV.: 0
PAGE
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
93
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
OF
152
8-1-7-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 97.24 mm, so supplemental rules of 1-7 are not applied. 8-1-7-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 0.65 × 57.15 = = 0.3mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-7-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9213 8-1-7-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)] 8-1-7-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0, 11.13 ) = 11.13 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7×11.13 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
94
OF
152
Cover weld satisfactory 8-1-7-4(b) Check for limits of reinforcement: 8-1-7-4(b) (1) Limit parallel to the vessel wall: larger of d = 97.24 mm or Rn + tn + t = 48.62 + 8.53 + 13.4 = 70.55 mm Use 97.24 mm 8-1-7-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5×8.53 + 0 = 21.325 mm
Use 21.325 mm 8-1-7-5 Area of reinforcement required [UG-37] 8-1-7-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 97.24 × 6.73 × 1.0 + 2 × 8.53 × 6.73 × 1.0 × (1 − 0.9213) = 654.5 + 9.1 = 663.6 mm2 8-1-7-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 97.24×(1.0×13.4-1×6.73)-2×8.53×(1.0×13.4-1.0×6.73)×(1-0.9213) = 648.6 – 9.0 = 639.6 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 8.53) × (1.0×13.4-1×6.73)-2×8.53× (1.0×13.4-1.0×6.73)×(1-0.9213) = 292.5 – 9.0 = 283.5 mm2 A1 = the larger of (A11,A12) = 639.6 mm2 8-1-7-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (8.53 − 0.3) × 0.9213 × 13.4 = 508mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (8.53 − 0.3) × 0.9213 × 8.53 = 323.4mm2 A2=the smaller of (A21, A22) = 323.4 mm2 8-1-7-5(d) Area available in welds A4 8-4-5(d)(1) Area available in outward weld A41 8-1-7-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 639.6 + 323.4 + 74.6 = 1037.6 Sq. mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
95
OF
152
This is greater than the required area so is a reinforcing element is not needed. 8-1-7-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]
8-1-8
For water outlet nozzle O (R) (DN250)
●Internal ●Design
per UG-37
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 136.5
Rn (mm)
: 126.4
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 10.1
●Finished
diameter of opening corroded
d (mm)
: 252.8
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
8-1-8-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 252.8 mm, so supplemental rules of 1-7 are not applied. 8-1-8-2 Wall thicknesses Required
DOC. NO.: 2011-83-1-86811-342-0
Shell
REV.: 0
PAGE
96
OF
152
Required thickness of a seamless shell tr (E=1.0)
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
tr =
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 0.65 × 136.5 = = 0.71mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-8-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9213 8-1-8-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)] 8-1-8-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0, 12.7 ) = 12.7 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 12.7= 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-1-8-4(b) Check for limits of reinforcement: 8-1-8-4(b) (1) Limit parallel to the vessel wall: larger of d = 252.8 mm or Rn + tn + t = 126.4 + 10.1 + 13.4 = 149.9 mm Use 252.8 mm 8-1-8-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5× 10.1 + 0 = 25.25 mm
Use 25.25 mm 8-1-8-5 Area of reinforcement required [UG-37]
DOC. NO.: 2011-83-1-86811-342-0
8-1-8-5(a)
REV.: 0
PAGE
97
OF
152
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 252.8 × 6.73 × 1.0 + 2 × 10.1 × 6.73 × 1.0 × (1 − 0.9213) = 1701.4 + 10.7 = 1712.1 mm2 8-1-8-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 252.8×(1.0×13.4-1×6.73)-2×10.1×(1.0×13.4-1.0×6.73)×(1-0.9213) = 1686.2 – 10.6 = 1675.6 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 10.1) × (1.0×13.4-1×6.73)-2×10.1× (1.0×13.4-1.0×6.73)×(1-0.9213) = 313.5 – 10.6 = 302.9 mm2 A1 = the larger of (A11,A12) = 1675.6 mm2 8-1-8-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (10.1 − 0.71) × 0.9213 × 13.4 = 579.6mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (10.1 − 0.71) × 0.9213 × 10.1 = 436.8mm 2 A2=the smaller of (A21, A22) = 436.8 mm2 8-1-8-5(d) Area available in welds A4 8-4-5(d)(1) Area available in outward weld A41 8-1-8-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 1675.6 + 436.8 + 74.6 = 2187 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-8-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]
8-1-9
For thermometer nozzle V2-3 (DN20)
Since the welded nozzles V2-3 (DN20) are neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required. 8-1-10
[UG-36 (c) (3)]
For pressure gauge nozzle W2 (DN15) per UG-37
Since the welded nozzles nozzle W2 (DN15) is neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required.
[UG-36 (c) (3)]
DOC. NO.: 2011-83-1-86811-342-0
8-1-11
REV.: 0
For sampling water nozzle P1-2 (DN10)
PAGE
98
OF
152
per UG-37
Since the welded nozzles nozzle P1-2 (DN10) are neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required. 8-1-12
For water level nozzle T1-2.U1-4.X1-2.Z1-2 (DN50)
●Internal ●Design
design pressure
temperature
●Material
per UG-37 P (MPa) (℃)
of the vessel wall
●Allowable ●Material
[UG-36 (c) (3)]
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 30.15
Rn (mm)
: 24.01
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 6.14
●Finished
diameter of opening corroded
d (mm)
: 48.02
Weld leg (mm)
: 9.0
θ (deg)
: 90
F
: 0.5
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
8-1-12-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 48.02 mm, so supplemental rules of 1-7 are not applied.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
99
OF
152
8-1-12-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
PR 0.65 × 1402.6 = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
tr =
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
PRno 1.0 × 30.15 = = 0.16mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-1-12-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1= Sn/SV= 125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2= Sn/SV = 125.3/136 = 0.9213 8-1-12-4 Size of weld required [UW-16(b), Fig.UW-16.1 Sketch (e)] 8-1-12-4 (a) Outward nozzle fillet weld: tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0 , 8.74 ) = 8.74 mm tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×8.74 = 6.0 mm Weld 41, actual weld leg = 9.0 mm Weld throat = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm The weld size is satisfactory . 8-1-12-4 (b) In plane 90 deg to longitudinal axis : 8-1-12-4 (b) (1) calculate the opening chord length at mid-surface of the required shell thickness as follows: Rm = R+tr/2= 1402.6 + 6.73/2 = 1405.965 mm L= 1100 mm α1= cos-1(
L + Rn 1100 + 24.01 ) = cos-1( ) = 36.9 deg Rm 1405.965
DOC. NO.: 2011-83-1-86811-342-0
α2= cos-1(
REV.: 0
PAGE
100
OF
152
L − Rn 1100 − 24.01 ) = cos-1( ) = 40.1 deg Rm 1405.965
α=α2-α1=40.1-36.9= 3.2 deg
1 − cos 2 (а/ 2) =2×1405.965× 1 − cos 2 (3.2 / 2) =78.52 mm
d = 2Rm
Per UG-37(b) and Fig.UG-37, F=0.5 8-1-12-4(b) (2) Check for limits of reinforcement: 8-1-12-4 (b) (2-1) Limit parallel to the vessel wall (circumferentially): larger of
dc = 78.52 mm
or
Rnc + tn + t = 39.26 + 6.14 + 13.4 = 58.8 mm
Use 78.52 mm 8-1-12-4 (b) (2-2) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 = 33.5 mm or 2.5tn+te = 2.5×6.14 + 0 = 15.35 mm
Use 15.35 mm 8-1-12-5 Area of reinforcement required in plane 90 deg to longitudinal axis
A = dtr F + 2tntr F (1 − f r1 ) = 78.52 × 6.73 × 0.5 + 2 × 6.14 × 6.73 × 0.5 × (1 − 0.9213) = 264.3 + 3.3 = 267.6 mm2 8-1-12-6 Area of reinforcement available in plane 90 deg to longitudinal axis 8-1-12-6 (a) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 78.52×(1×13.4-0.5×6.73)-2×6.14×(1×13.4-0.5×6.73)×(1-0.9213) = 787.9 –9.7 = 778.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 6.14) × (1×13.4-0.5×6.73)-2×6.14× (1×13.4-0.5×6.73)×(1-0.9213) = 392.2 – 9.7 = 382.5 mm2 A1= the larger of (A11,A12)= 778.2 mm2 8-1-12-6 (b) Area available in nozzle A2 α3= cos-1(
1100 − 24.01 L − Rn ) = cos-1( ) = 40.5 deg R+t 1402.6 + 13.4
A2 = the smaller of the following
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
101
OF
152
By observation, A2 on the upper side of the nozzle is smaller than A2 on the lower side of the nozzle. In accordance with UG-37(b), not less than half the required reinforcement shall be on each side of the opening. Therefore,A2 on the lower side shall not be greater than A2 on the upper side.
A21 = 5(tn − trn ) f r 2t / sin(α3 ) = 5 × (6.14 − 0.16) × 0.9213 × 13.4 / sin 40.5 = 568.3mm2 A22 = 5(tn − trn )tn f r 2 / sin(α3 ) = 5 × (6.14 − 0.16) × 6.14 × 0.9213 / sin 40.5 = 260.4mm2 A2 = the smaller of (A21, A22) = 260.4 mm2 8-1-12-6(c) Area available in outward nozzle weld: Since the welds vary from a fillet to a butt-type weld, and A41 will not be considered. 8-1-12-6 (d) Area provided by A1 + A2 = 778.2 + 260.4 = 1038.6 Sq. mm > A= 267.6 Sq. mm This is greater than the required reinforcing area of 267.6 sq. mm. Therefore, the opening is adequately reinforced in the plane considered. 8-4-7 Since the plane under consideration requires only 50% (F=0.5) of the required reinforcement in the plane parallel to the longitudinal shell axis, the opening may not be adequately reinforced in the other planes. A check for reinforcement in plane parallel to the longitudinal shell axis is needed. d = 48.02 mm
F = 1.0
8-1-12-7 (a) Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 48.02 × 6.73 ×1.0 + 2 × 6.14×6.73×1.0 × (1-0.9213) = 323.2 + 6.6 = 329.8 mm2 8-1-12-7 (b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 48.02×(1×13.4-1×6.73)-2×6.14 ×(1×13.4-1.0×6.73)×(1-0.9213) = 320.2 – 6.5 = 313.7 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2×(13.4+6.14) × (1×13.4-1×6.73)-2×6.14× (1×13.4-1.0×6.73)×(1-0.9213) = 260.6 – 6.5 = 254.1 mm2 A1=the larger of (A11,A12) = 313.7 mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
102
OF
152
8-1-12-7 (c) Area available in nozzle A2
A21 = 5(tn − trn ) f r 2t = 5 × (6.14 − 0.16) × 0.9213 × 13.4 = 369.1mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (6.14 − 0.16) × 0.9213 × 6.14 = 169.1mm2 A2 = the smaller of (A21, A22) =169.1 mm2 8-1-12-7 (d) Area available in outward nozzle weld A41: A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-12-7 (e) Total area available A1 +A2 +A41 = 313.7 + 169.1 + 74.6 = 557.4 Sq. mm This is greater than the required reinforcing area of 329.8 Sq. mm; therefore, opening is adequately reinforced. 8-1-13
For annectent nozzle of tank and tower (DN800)
●Internal ●Design
design pressure
temperature
●Material
P (MPa) (℃)
of the vessel wall
●Allowable ●Material
per UG-37
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-516MGr.485
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 136
●Corrosion
allowance (designated by customer)
C (mm)
: 2.6
R (mm)
: 1402.6
t (mm)
: 13.4
Rno(mm)
: 406.4
Rn (mm)
: 393
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 13.4
●Finished
diameter of opening corroded
d (mm)
: 786
●Leg
length of outward nozzle fillet weld
Weld leg (mm)
: 16.0
●Leg
length of inward nozzle fillet weld
Weld leg (mm)
: 16.0
DOC. NO.: 2011-83-1-86811-342-0
●Angle
REV.: 0
PAGE
of plane with longitudinal axis
●Correction
factor
103
θ (deg)
: 0.0
F
: 1.0
OF
152
8-1-13-1 Size of opening Since ID is 2800mm, according to UG-36(b) (1), third of the vessel diameter is 933 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 786 mm, so supplemental rules of 1-7 are not applied. 8-1-13-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
0.65 × 1402.6 PR = = 6.73mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 393 PRno = = 1.88mm S n E1 + 0.4 P 136 × 1 + 0.4 × 0.65
8-1-13-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV=136/136 = 1.0 Strength reduction factor for nozzle fr2 fr2=Sn/SV =136/136 = 1.0 8-1-13-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (i)] 8-1-13-4(a) throat size of weld required UW-16(b) t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 16.0 , 16.0 ) = 16.0 mm t1 or t2 ≥ min.( 6 , 0.7×16.0 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 16.0 mm Weld 43, actual weld leg = 16.0 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
104
OF
152
t1 or t2 = 0.7 × weld size = 0.7 ×16.0 = 11.2 mm (actual)
1 tmin = 20.0 mm 4 1 t1 + t2 = 11.2 + 11.2 = 22.4 > 1 tmin = 20.0 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-1-13-4(b) Check for limits of reinforcement: 8-1-13-4(b) (1) Limit parallel to the vessel wall: larger of
d= 786 mm
or
Rn + tn + t = 393 + 13.4 + 13.4 = 419.8 mm
Use 786 mm 8-1-13-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×13.4 =33.5 mm or 2.5tn+te = 2.5×13.4 + 0 = 33.5 mm
Use 33.5 mm 8-1-13-5 Area of reinforcement required [UG-37] 8-1-13-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 786 × 6.73 × 1.0 + 2 × 13.4 × 6.73 × 1.0 × (1 − 1.0) = 5289.78 + 0 = 5289.78 mm2 8-1-13-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 786×(1×13.4-1×6.73)-2×13.4×(1×13.4-1.0×6.73)×(1-1.0) = 5242.62 – 0 = 5242.62 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(13.4 + 13.4) × (1×13.4-1×6.73)-2×13.4× (1×13.4-1.0×6.73) × (1-1.0) = 357.5 – 0 = 357.5 mm2 A1=the larger of (A11,A12)= 5242.62 mm2 8-1-13-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (13.4 − 1.88) × 1.0 × 13.4 = 771.84mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (13.4 − 1.88) × 1.0 × 13.4 = 771.84mm2 A2= the smaller of (A21, A22) = 771.84 mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
105
OF
152
8-1-13-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [50, 33.5 , 33.5] = 33.5 mm
A31 = 5tt j f r 2 = 5 × 13.4 × 13.4 × 1.0 = 897.8mm 2 A32 = 5t j t j f r 2 = 5 × 13.4 × 13.4 × 1.0 = 897.8mm 2 A33 = 5ht j f r 2 = 5 × 33.5 × 13.4 × 1.0 = 2237.8mm 2 A3= the smaller of (A31, A32, A33 ) = 897.8 mm2 8-1-13-5(e) Area available in fillet welds A4 8-1-13-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 16.0 × 16.0 × 1.0 = 196 Sq. mm 8-1-13-5(e)(2) Area available in inward fillet weld A43 8-1-13-5(f)
A43= (leg)^2 × fr2 = 16.0 × 16.0 × 1.0 = 196 Sq. mm Total area available
A1 +A2 +A3 +A41 +A43 = 5242.62 + 771.84 + 897.8 + 196 + 196 = 7304.26 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-1-13-6 Check the welds per UW-16 and UW-16.1 (i) 8-1-13-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-1-13-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 771.84 + 0 + 196 + 0) × 136 = 131626.2 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = (771.84+ 897.8 + 196 + 196 +2 × 13.4 × 13.4 × 1.0)× 136 = 329223.4 N 8-1-13-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [5289.78 – 5242.62 + 2× 13.4× 1.0× (1.0 × 13.4 - 1.0 × 6.73)] *136 = 30725 N Since W is smaller than W1-1 and W2-2, W may be used in place of W1-1 and W2-2 for comparing weld capacity to weld load. 8-1-13-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-1-13-6-2 (a) Fillet weld shear = 0.49×136 = 66.64 Mpa 8-1-13-6-2 (b) Nozzle wall shear
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
106
OF
152
= 0.7×136 = 95.2 Mpa 8-1-13-6-3 Strength of connection elements 8-1-13-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 812.8 × 16.0 ×66.64 = 1360624.6 N 8-1-13-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×796.8×13.4 × 95.2 = 1595845 N 8-1-13-6-4 Check Strength paths Path 1-1 = 1360624.6 + 1595845 = 2956469.6 N Path 2-2 = 1360624.6 + 1360624.6 = 2721249.2 N All paths are stronger than the required strength of W of 30725 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-2 DEAERATOR′S TOWER: 8-2-1
For HP drain inlet nozzle E (DN100)
●Internal ●Design
per UG-37
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
R (mm)
: 903.5
t (mm)
: 8.5
Rno(mm)
: 57.15
Rn (mm)
: 49.52
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.63
●Finished
diameter of opening corroded
d (mm)
: 99.04
DOC. NO.: 2011-83-1-86811-342-0
●Leg
●Leg
REV.: 0
PAGE
length of outward nozzle fillet weld
length of inward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
107
Weld leg (mm)
: 10.0
Weld leg (mm)
: 10.0
θ (deg)
: 0.0
F
: 1.0
OF
152
8-2-1-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 99.04 mm, so supplemental rules of 1-7 are not applied. 8-2-1-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
0.65 × 903.5 PR = = 4.34mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 57.15 PRno = = 0.3mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-2-1-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV=125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV =125.3/136 = 0.9213 8-2-1-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (i)] 8-2-1-4(a) throat size of weld required UW-16(b) t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 12.0 , 11.13 ) = 11.13 mm t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
108
OF
152
therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 10.0 mm Weld 43, actual weld leg = 10.0 mm t1 or t2 = 0.7 × weld size = 0.7 ×10.0 = 7.0 mm (actual)
1 tmin = 13.9 mm 4 1 t1 + t2 = 7.0 + 7.0 = 14.0 > 1 tmin = 13.9 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-2-1-4(b) Check for limits of reinforcement: 8-2-1-4(b) (1) Limit parallel to the vessel wall: larger of
d= 99.04 mm
or
Rn + tn + t = 49.52 + 7.63 + 8.5 = 65.65 mm
Use 99.04 mm 8-2-1-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×8.5 =21.25 mm or 2.5tn+te = 2.5×7.63 + 0 = 19.075 mm
Use 19.075 mm 8-2-1-5 Area of reinforcement required [UG-37] 8-2-1-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 99.04 × 4.34 × 1.0 + 2 × 7.63 × 4.34 × 1.0 × (1 − 0.9213) = 429.9 + 5.3 = 435.2 mm2 8-2-1-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 99.04×(1×8.5-1×4.34)-2×7.63×(1×8.5-1.0×4.34)×(1-0.9213) = 412 – 5.0 = 407 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(8.5 + 7.63) × (1×8.5-1×4.34)-2×7.63× (1×8.5-1.0×4.34) × (1-0.9213) = 106.8 – 5.0 = 101.8 mm2 A1=the larger of (A11,A12)= 407 mm2 8-2-1-5(c)
Area available in nozzle projecting outward A2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
109
OF
152
A21 = 5(tn − trn ) f r 2t = 5 × (7.63 − 0.3) × 0.9213 × 8.5 = 287mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.63 − 0.3) × 0.9213 × 7.63 = 257.6mm2 A2= the smaller of (A21, A22) = 257.6 mm2 8-2-1-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [150, 21.25 , 19.075] = 19.075 mm
A31 = 5tt j f r 2 = 5 × 8.5 × 7.63 × 0.9213 = 298.7 mm 2 A32 = 5t j t j f r 2 = 5 × 7.63 × 7.63 × 0.9213 = 268.1mm 2 A33 = 5ht j f r 2 = 5 × 19.075 × 7.63 × 0.9213 = 670.4mm 2 A3= the smaller of (A31, A32, A33 ) = 268.1 mm2 8-2-1-5(e) Area available in fillet welds A4 8-2-1-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm 8-2-1-5(e)(2) Area available in inward fillet weld A43 A43= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm 8-2-1-5(f) Total area available A1 +A2 +A3 +A41 +A43 = 407 + 257.6 + 268.1 + 92.1 + 92.1 = 1116.9 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-1-6 Check the welds per UW-16 and UW-16.1 (i) 8-2-1-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-2-1-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 257.6 + 0 + 92.1 + 0) × 136 = 47559.2 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 257.6+ 268.1 + 92.1 + 92.1 +2 × 7.63 × 8.5 × 0.9213)× 136 = 112798.6 N 8-2-1-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [ 435.2 – 407 + 2× 7.63× 0.9213× (1.0 × 8.5 - 1.0 × 4.34)] *136 = 11789 N Since W is smaller than W1-1 and W2-2, W may be used in place of W1-1 and W2-2 for comparing weld capacity to weld load.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
110
OF
152
8-2-1-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-2-1-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa 8-2-1-6-2 (b) Nozzle wall shear = 0.7×125.3 = 87.71 Mpa 8-2-1-6-3 Strength of connection elements 8-2-1-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 114.3 × 10.0 ×61.4 = 110182.9 N 8-2-1-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×103.17×8.53 × 87.71 = 121185.6 N 8-2-1-6-4 Check Strength paths Path 1-1 = 110182.9 + 121185.6 = 231368.5 N Path 2-2 = 110182.9 + 110182.9 = 220365.8 N All paths are stronger than the required strength of W of 11789 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-2-2 For water inlet from slag-cooler Y2 and secondary steam inlet nozzle J (DN80) per UG-37 ●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
R (mm)
: 903.5
t (mm)
: 8.5
Rno(mm)
: 44.45
Rn (mm)
: 36.82
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
111
OF
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.63
●Finished
diameter of opening corroded
d (mm)
: 73.64
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-2-2-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 73.64 mm, so supplemental rules of 1-7 are not applied. 8-2-2-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
0.65 × 903.5 PR = = 4.34mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 44.45 PRno = = 0.24mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-2-2-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9213 8-2-2-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (c)] 8-2-2-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 12.0, 11.13 ) = 11.13 mm
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
112
OF
152
tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 11.13= 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-2-2-4(b) Check for limits of reinforcement: 8-2-2-4(b) (1) Limit parallel to the vessel wall: larger of d = 73.64 mm or Rn + tn + t = 36.82 + 7.63 + 8.5 = 52.95 mm Use 73.64 mm 8-2-2-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×8.5 = 21.25 mm or 2.5tn+te = 2.5× 7.63 + 0 = 19.075 mm
Use 19.075 mm 8-2-2-5 Area of reinforcement required [UG-37] 8-2-2-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 73.64 × 4.34 × 1.0 + 2 × 7.63 × 4.34 × 1.0 × (1 − 0.9213) = 319.6 + 5.3 = 324.9 mm2 8-2-2-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 73.64×(1.0×8.5-1×4.34)-2×7.63×(1.0×8.5-1.0×4.34)×(1-0.9213) = 306.3 – 5.0 = 301.3 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(8.5 + 7.63) × (1.0×8.5-1×4.34)-2×7.63× (1.0×8.5-1.0×4.34)×(1-0.9213) = 134.2 – 5.0 = 129.2 mm2 A1 = the larger of (A11,A12) = 301.3 mm2 8-2-2-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.63 − 0.24 ) × 0.9213 × 8.5 = 289.3mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.63 − 0.24) × 0.9213 × 7.63 = 259.7mm2 A2=the smaller of (A21, A22) = 259.7 mm2 8-2-2-5(d) Area available in welds A4
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
113
OF
152
8-2-2-5(d)(1) Area available in outward weld A41 8-2-2-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 301.3 + 259.7 + 74.6 = 635.6 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-2-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (c) [see UW-15(b)]
8-2-3
For check-up nozzle F (DN150) per UG-37
●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
R (mm)
: 903.5
t (mm)
: 8.5
Rno(mm)
: 84.15
Rn (mm)
: 76.68
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.47
●Finished
diameter of opening corroded
d (mm)
: 153.36
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
8-2-3-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
114
OF
152
exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 153.36 mm, so supplemental rules of 1-7 are not applied. 8-2-3-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
0.65 × 903.5 PR = = 4.34mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
tr =
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 84.15 PRno = = 0.44mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-2-3-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9213 8-2-3-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (c)] 8-2-3-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 12.0, 10.97 ) = 10.97 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 10.97= 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-2-3-4(b) Check for limits of reinforcement: 8-2-3-4(b) (1) Limit parallel to the vessel wall: larger of d = 153.36 mm or Rn + tn + t = 76.68 + 7.47 + 8.5 = 92.65 mm Use 153.36 mm 8-2-3-4(b) (2) Limit normal to the vessel wall:
DOC. NO.: 2011-83-1-86811-342-0
smaller of
REV.: 0
PAGE
115
OF
152
2.5t = 2.5×8.5 = 21.25 mm or 2.5tn+te = 2.5× 7.47 + 0 = 18.675 mm
Use 18.675 mm 8-2-3-5 Area of reinforcement required [UG-37] 8-2-3-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 153.36 × 4.34 × 1.0 + 2 × 7.47 × 4.34 × 1.0 × (1 − 0.9213) = 665.6 + 5.2 = 670.8 mm2 8-2-3-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 153.36×(1.0×8.5-1×4.34)-2×7.47×(1.0×8.5-1.0×4.34)×(1-0.9213) = 638 – 4.9 = 633.1 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(8.5 + 7.47) × (1.0×8.5-1×4.34)-2×7.47× (1.0×8.5-1.0×4.34)×(1-0.9213) = 132.9 – 4.9 = 128 mm2 A1 = the larger of (A11,A12) = 633.1 mm2 8-2-3-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.47 − 0.44) × 0.9213 × 8.5 = 275.2mm 2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.47 − 0.44) × 0.9213 × 7.47 = 241.9mm2 A2=the smaller of (A21, A22) = 241.9 mm2 8-2-3-5(d) Area available in welds A4 8-2-3-5(d)(1) Area available in outward weld A41 8-2-3-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 633.1 + 241.9 + 74.6 = 949.6 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-3-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (c) [see UW-15(b)]
8-2-4
For feed water inlet nozzle H (large end of conical reducer) (DN350) per UG-37
●Internal ●Design
design pressure
temperature
P (MPa) (℃)
: 0.65 : 300
DOC. NO.: 2011-83-1-86811-342-0
●Material
PAGE
of the vessel wall
●Allowable ●Material
REV.: 0
stress of the vessel wall at design temperature
116
OF
: SA-516MGr.485 SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
R (mm)
: 903.5
t (mm)
: 8.5
Rno(mm)
: 177.8
Rn (mm)
: 170.17
●Inside
radius of shell corroded
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.63
●Finished
diameter of opening corroded
d (mm)
: 340.34
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-2-4-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 340.34 mm, so supplemental rules of 1-7 are not applied. 8-2-4-2 Wall thicknesses Required Shell
Required thickness of a seamless shell tr (E=1.0)
tr =
0.65 × 903.5 PR = = 4.34mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 177.8 PRno = = 0.93mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
117
OF
152
8-2-4-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/136= 0.9213 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/136 = 0.9213 8-2-4-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (c)] 8-2-4-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 12.0, 11.13 ) = 11.13 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin, 6.0 or 0.7× 11.13= 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm Cover weld satisfactory 8-2-4-4(b) Check for limits of reinforcement: 8-2-4-4(b) (1) Limit parallel to the vessel wall: larger of d = 340.34 mm or Rn + tn + t = 170.17 + 7.63 + 8.5 = 186.3 mm Use 340.34 mm 8-2-4-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×8.5 = 21.25 mm or 2.5tn+te = 2.5× 7.63 + 0 = 19.075 mm
Use 19.075 mm 8-2-4-5 Area of reinforcement required [UG-37] 8-2-4-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 340.34 × 4.34 × 1.0 + 2 × 7.63 × 4.34 × 1.0 × (1 − 0.9213) = 1477.1 + 5.3 = 1482.4 mm2 8-2-4-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 )
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
118
OF
152
= 340.34×(1.0×8.5-1×4.34)-2×7.63×(1.0×8.5-1.0×4.34)×(1-0.9213) = 1415.9 – 5.0 = 1410.9 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(8.5 + 7.63) × (1.0×8.5-1×4.34)-2×7.63× (1.0×8.5-1.0×4.34)×(1-0.9213) = 134.2 – 5.0 = 129.2 mm2 A1 = the larger of (A11,A12) = 1410.9 mm2 8-2-4-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.63 − 0.93) × 0.9213 × 8.5 = 262.3mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.63 − 0.93) × 0.9213 × 7.63 = 235.4mm2 A2=the smaller of (A21, A22) = 235.4 mm2 8-2-4-5(d) Area available in welds A4 8-2-4-5(d)(1) Area available in outward weld A41 8-2-4-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm Total area available
A1 +A2 +A41 = 1410.9 + 235.4 + 74.6 = 1720.9 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-4-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (c) [see UW-15(b)]
8-2-5 For manhole nozzle A2 (DN450) ●Internal ●Design
per UG-37
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-516MGr.485
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 136
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
R (mm)
: 903.5
t (mm)
: 8.5
●Inside
radius of shell corroded
●Analysis
thickness of the vessel wall corroded
DOC. NO.: 2011-83-1-86811-342-0
●Outside
●Inside
REV.: 0
radius of the nozzle
radius of the nozzle corroded
PAGE
119
Rno(mm)
: 228.5
Rn (mm)
: 220
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 8.5
●Finished
diameter of opening corroded
d (mm)
: 440
Weld leg (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
OF
152
8-2-5-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 440 mm, so supplemental rules of 1-7 are not applied. 8-2-5-2 Wall thicknesses Required Required thickness of a seamless shell tr (E=1.0)
Shell
tr =
0.65 × 903.5 PR = = 4.34mm SV E − 0.6 P 136 × 1 − 0.6 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 228.5 PRno = = 1.1mm S n E1 + 0.4 P 136 × 1 + 0.4 × 0.65
8-2-5-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 136/136= 1.0 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 136/136 = 1.0 8-2-5-4 Size of weld required [UW-16(c),Fig.UW-16.1 Sketch (e)] 8-2-5-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
120
OF
152
tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 12.0 , 12.0 ) = 12.0 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×12.0 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 × 9.0 = 6.3 mm Cover weld satisfactory 8-2-5-4(b) Check for limits of reinforcement: 8-2-5-4(b) (1) Limit parallel to the vessel wall: larger of
d= 440 mm
or
Rn + tn + t = 220 + 8.5 + 8.5 = 237 mm
Use 440 mm 8-2-5-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t =2.5×8.5=21.25 mm
or
2.5tn+te = 2.5×8.5 + 0 = 21.25 mm
Use 21.25 mm 8-2-5-5 Area of reinforcement required [UG-37] 8-2-5-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 440 × 4.34 × 1.0 + 2 × 8.5 × 4.34 × 1.0 × (1 − 1.0) = 1909.6 mm2 8-2-5-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) =440×(1×8.5-1×4.34)-2×8.5 ×(1×8.5-1.0×4.34)×(1-1.0) = 1830.4 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(8.5+8.5) × (1×8.5-1×4.34)-2×8.5× (1×8.5-1.0×4.34)×(1-1.0) = 141.44 mm2 A1=the larger of (A11,A12)= 1830.4 mm2 8-2-5-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (8.5 − 1.1) × 1.0 × 8.5 = 314.5mm2
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
121
OF
152
A22 = 5(tn − trn ) f r 2tn = 5 × (8.5 − 1.1) × 1.0 × 8.5 = 314.5mm2 A2=the smaller of (A21, A22) = 314.5 mm2 8-2-5-5(d) Area available in welds A4 8-4-5(d)(1) Area available in outward weld A41 8-2-5-5(e)
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 1.0 = 81.0 Sq. mm Total area available
A1 +A2 +A41 = 1830.4 + 314.5 + 81.0 = 2225.9 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-5-6
Strength calculations for attachment welds are not required for this detail which conforms with Fig. UW-16.1 sketch (e) [see UW-15(b)]
8-2-6 For thermometer nozzle V1 (DN20)
per UG-37
Since the welded nozzles nozzle V1 (DN20) is neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)] 8-2-7 For pressure gauge nozzle W1 (DN15)
per UG-37
Since the welded nozzles nozzle W1 (DN15) is neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)] 8-2-8 For pressure signal nozzle W3 (DN10)
per UG-37
Since the welded nozzles nozzle W3 (DN10) is neither subject to rapid fluctuations in pressure nor larger than 60 mm, reinforcement of openings is not required. [UG-36 (c) (3)] 8-2-9
For steam separator nozzle
●Internal ●Design
(DN350) per UG-37
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
stress of the nozzle wall at design temperature
: 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
●Allowable
: 0.65
: 136 : SA-106 Gr.B
Sn (MPa)
: 125.3
DOC. NO.: 2011-83-1-86811-342-0
●Corrosion
●Inside
allowance (designated by customer)
diameter of ellipsoidal head (corroded)
●Analysis
●Outside
●Inside
REV.: 0
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
PAGE
122
OF
C (mm)
: 3.5
D
: 1807
(mm)
t (mm)
: 6.94
Rno(mm)
: 177.8
Rn (mm)
: 170.17
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.63
●Finished
diameter of opening corroded
d (mm)
: 340.34
Weld leg (mm)
: 10.0
Weld leg (mm)
: 10.0
θ (deg)
: 0.0
F
: 1.0
●Leg
●Leg
length of outward nozzle fillet weld
length of inward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-2-9-1 Size of opening Since ID is 1800mm, according to UG-36(b) (1), third of the vessel diameter is 600mm, and doesn’t exceed 1000mm, therefore, 1000mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 340.34 mm, so supplemental rules of 1-7 are not applied. 8-2-9-2 Wall thicknesses Required ellipsoidal head
tr =
Required thickness of a seamless shell tr (E=1.0)
0.65 × 1807 PD = = 4.33mm 2S d E − 0.2 P 2 × 136 × 1.0 − 0.2 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 177.8 PRno = = 0.93mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-2-9-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1= Sn/SV=125.3/136=0.9213
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
123
OF
152
Strength reduction factor for nozzle fr2 fr2= Sn/SV =125.31/136=0.9213 8-2-9-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (i)] 8-2-9-4(a) throat size of weld required UW-16(b) t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 10.44 , 11.13 ) = 10.44 mm t1 or t2 ≥ min.( 6 , 0.7×10.44 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 10.0 mm Weld 43, actual weld leg = 10.0 mm t1 or t2 = 0.7 × weld size = 0.7 ×10.0 = 7.0 mm (actual)
1 tmin = 13.05 mm 4 1 t1 + t2 = 7.0 + 7.0 = 14.0 > 1 tmin = 13.05 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-2-9-4(b) (1) Limit parallel to the vessel wall: larger of
d= 340.34 mm
or
Rn + tn + t = 170.17 + 7.63 + 6.94 = 184.74 mm
Use 340.34 mm 8-2-9-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t=2.5×6.94 =17.35 mm or 2.5tn+te = 2.5×7.63 + 0 = 19.075 mm
Use 17.35 mm 8-2-9-5 Area of reinforcement required [UG-37] 8-2-9-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 340.34 × 4.33 × 1.0 + 2 × 7.63 × 4.33 × 1.0 × (1 − 0.9213) = 1473.7 + 5.3 = 1479 mm2 8-2-9-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 )
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
124
OF
152
= 340.34×(1×6.94-1×4.33)-2×7.63×(1×6.94-1.0×4.33)×(1-0.9213) = 888.3-3.1 = 885.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(6.94+7.63) × (1×6.94-1×4.33)-2×7.63× (1×6.94-1.0×4.33)×(1-0.9213) = 76.1 – 3.1 = 73 mm2 A1=the larger of (A11,A12)= 885.2 mm2 8-2-9-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.63 − 0.93) × 0.9213 × 6.94 = 214.2mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.63 − 0.93) × 0.9213 × 7.63 = 235.5mm2 A2=the smaller of (A21, A22) =214.2 mm2 8-2-9-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [50, 17.35 , 19.075] = 17.35 mm
A31 = 5tt j f r 2 = 5 × 6.94 × 7.63 × 0.9213 = 243.9mm 2 A32 = 5t j t j f r 2 = 5 × 7.63 × 7.63 × 0.9213 = 268.1mm 2 A33 = 5ht j f r 2 = 5 × 17.35 × 7.63 × 0.9213 = 609.8mm 2 A3= the smaller of (A31, A32, A33 ) = 243.9 mm2 8-2-9-5(e) Area available in fillet welds A4 8-2-9-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm 8-2-9-5(e)(2) Area available in inward fillet weld A43 A43= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9213 = 92.1 Sq. mm 8-2-9-5(f) Total area available A1 +A2 +A3 +A41 +A43 = 885.2 + 214.2 + 243.9 + 92.1 + 92.1 = 1528.1 Sq. mm This is greater than the required area so is a reinforcing element is not needed. 8-2-9-6 Check the welds per UW-16 and UW-16.1 (i) 8-2-9-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-2-9-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 214.2 + 0 + 92.1 + 0) × 136 = 41656.8 N
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
125
OF
152
W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 214.2+ 243.9 + 92.1 + 92.1 +2 × 7.63 × 6.94 × 0.9213)× 136 = 100622.3 N 8-2-9-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [1479 – 885.2 + 2× 7.63× 0.9213× (1.0 × 6.94 - 1.0 × 4.33)] *136 = 85747 N Since W is smaller than W2-2, W may be used in place of W2-2 for comparing weld capacity to weld load. 8-2-9-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-2-9-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa 8-2-9-6-2 (b) Nozzle wall shear = 0.7×125.3 = 87.71 Mpa 8-2-9-6-3 Strength of connection elements 8-2-9-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 355.6 × 10.0 ×61.4 = 342791.3 N 8-2-9-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×344.47×7.63 × 87.71 = 361930 N 8-2-9-6-4 Check Strength paths Path 1-1 = 342791.3 + 361930 = 704721.3 N Path 2-2 = 342791.3 + 342791.23 = 685582.6 N All paths are stronger than the required strength of W of 85747 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate. 8-2-10 For annectent nozzle of tank and tower (DN800) ●Internal ●Design
design pressure
temperature
●Material
P (MPa) (℃)
of the vessel wall
●Allowable ●Material
per UG-37
stress of the vessel wall at design temperature
of the nozzle wall
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
: 136 : SA-516MGr.485
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
126
OF
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 136
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
D
: 1807
●Inside
diameter of ellipsoidal head (corroded)
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
(mm)
t (mm)
: 6.94
Rno(mm)
: 406.4
Rn (mm)
: 393.9
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 12.5
●Finished
diameter of opening corroded
d (mm)
: 787.8
tnc (mm)
: 9.0
θ (deg)
: 0.0
F
: 1.0
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
●Material
of the reinforcing pad
●Allowable
●Outside
factor
stress of reinforcing pad at design temperature
diameter of reinforcing pad
●Nominal
thickness of reinforcing pad
152
: SA-516MGr.485 Sp (MPa)
: 136
Dp (mm)
: 1200
te
(mm)
12
8-2-10-1 Size of opening Since ID is 1800 mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t exceed 1000 mm, therefore, 1000 mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 787.8 mm, so supplemental rules of 1-7 are not applied. 8-2-10-2 Wall thicknesses Required ellipsoidal head
tr =
Required thickness of a seamless shell tr (E=1.0)
0.65 × 1807 PD = = 4.33mm 2S d E − 0.2 P 2 × 136 × 1.0 − 0.2 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
DOC. NO.: 2011-83-1-86811-342-0
trn =
REV.: 0
PAGE
127
OF
152
0.65 × 406.4 PRno = = 1.94mm S n E1 + 0.4 P 136 × 1 + 0.4 × 0.65
8-2-10-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1= Sn/SV= 136/136 = 1.0 Strength reduction factor for nozzle fr2 fr2= Sn/SV = 136/136 = 1.0 Strength reduction factor for all parts fr3 fr3= (less of Sn or Sp)/SV = 136/136 = 1.0 Strength reduction factor for reinforcing pad fr4 fr4= Sp/SV = 136/136 = 1.0 8-2-10-4 Size of weld required [UW-16(d),Fig.UW-16.1 Sketch (q)] 8-1-1-4(a) Inner (reinforcing pad) fillet weld size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 10.44 , 16.0 ) = 10.44 mm tc ( minimum ) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7× 10.44 = 6.0 mm Weld 41, actual weld leg = 9.0 mm tc (actual) = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm 8-2-10-4(b) Outer (reinforcing pad) fillet weld: Throat = 1/2 tmin= 0.5 ×10.44 = 5.22 mm ( minimum throat required ) Throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm (actual) 8-2-10-4(c) Upper groove weld: tw = 0.7 tmin = 0.7 ×10.44 = 7.308 mm ( required ) tw = 10.44 mm (actual) The weld size used is satisfactory. 8-2-10-4(d) Check for limits of reinforcement:
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
128
OF
152
8-2-10-4(d) (1) Limit parallel to the vessel wall: larger of d = 787.8 mm
or Rn + tn + t = 393.9 + 12.5 + 6.94 = 413.34 mm
Use 787.8 mm 8-2-10-4(d) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×6.94 = 17.35 mm or 2.5tn+te = 2.5×12.5 + 12 = 43.25 mm
Use 17.35 mm 8-2-10-5 Area of reinforcement required [UG-37] 8-2-10-5(a)
Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 787.8 × 4.33 × 1.0 + 2 × 12.5 × 4.33 × 1.0 × (1 − 1.0) = 3411.2 + 0 = 3411.2 mm2 8-2-10-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 787.8×(1.0×6.94-1×4.33)-2×12.5×(1.0×6.94-1.0×4.33)×(1-1.0) = 2056.1 – 0 = 2056.1 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(6.94 + 12.5) × (1.0×6.94-1×4.33)-2×12.5× (1.0×6.94-1.0×4.33)×(1-1.0) = 101.5 – 0 = 101.5 mm2 A1= the larger of (A11,A12)= 2056.1 mm2 8-2-10-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (12.5 − 1.94) × 1.0 × 6.94 = 366.4mm2 A22 = 2(tn − trn )(2.5tn + te ) f r 2 = 2 × (12.5 − 1.94) × (2.5 × 12.5 + 12) × 1.0 = 913.4mm2 A2=the smaller of (A21, A22) = 366.4 mm2 8-2-10-5(d) Area available in welds A4 8-2-10-5(d)(1) Area available in outward weld A41 A41= (leg)^2 × fr3 = 9.0 × 9.0 × 1.0 = 81.0 Sq. mm A42= (leg)^2 × fr4 = 9.0 × 9.0 × 1.0 = 81 Sq. mm 8-2-10-5(e)
Area provided by:
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
129
OF
152
A1 +A2 +A41 +A42 = 2056.1 + 366.4 + 81 +81 = 2584.5 Sq. mm 8-2-10-5(f)
Area available in reinforcing pad: A5 = (Dp-d-2tn) te fr4 = (1200-787.8-2×12.5)×12×1.0 = 4646.4 Sq. mm
8-2-10-5(g) Total area available A1 +A2 +A41 + A42 + A5 = 2584.5 + 4646.4 = 7230.9 Sq. mm This is greater than the required reinforcing area of 3411.2 sq. mm; therefore, the opening is adequately reinforced. 8-2-10-6 Check the welds per UW-16 and UW-16.1 (q) 8-2-10-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)] 8-2-10-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = (366.4 + 4646.4 + 81 +81 ) × 136 = 703772.8 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = (366.4+ 0 + 81 + 0 + 2 × 6.94 ×12.5 × 1.0 )× 136 = 84442.4 N W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2 tn t fr1) Sv = (366.4+ 0 + 4646.4 + 81 + 81+ 0 + 2 × 6.94 ×12.5 × 1.0 )× 136 = 727368.8 N 8-2-10-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t – F tr )]Sv = [3411.2 –2056.1 + 2× 12.5 × 1.0× (1.0 × 6.94 - 1.00× 4.33)] × 136 = 193167.6 N Since W is smaller than W1-1 and W3-3, W may be used in place of W1-1 and W3-3 for comparing weld capacity to weld load. 8-2-10-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-2-10-6-2 (a) Fillet weld shear = 0.49×136 = 66.64 Mpa 8-2-10-6-2 (b) Groove weld tension = 0.74×136 = 100.64 Mpa 8-2-10-6-2 (c) Groove weld shear = 0.6×136 = 81.6 Mpa 8-2-10-6-2 (d) Nozzle wall shear
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
130
OF
Path 1-1 = 790963.5 + 696860.9 = 1487824.4 N >W1-1 = 626810.4 N
OK
152
= 0.7×136 = 95.2 Mpa 8-2-10-6-3 Strength of connection elements 8-2-10-6-3 (a) Upper fillet or cover weld = π/2 × nozzle O.D. × weld leg × 66.64 = 1.57 × 508 ×9.0 × 66.64 = 478344.6 N 8-2-10-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 95.2 = 1.57 × 496 × 9.4 × 95.2 = 696860.9 N 8-2-10-6-3 (c) Lower groove weld tension = π/2 × nozzle O.D. × weld leg × 100.64 = 1.57 × 508 ×9.0 × 100.64 = 722397.9 N 8-2-10-6-3 (d) Outer (reinforcing element) fillet weld = π/2 × reinforcing pad O.D. × weld leg × 66.64 = 1.57 × 840 ×9.0 ×66.64 = 790963.5 N 8-1-1-6-3 (e) Upper groove weld tension = π/2 × nozzle O.D. × weld leg × 100.64 = 1.57 × 508 × 9.0 × 100.64 = 722397.9 N 8-2-10-6-4 Check Strength paths
Path 2-2 = 478344.6 + 722397.9 + 722397.9 = 1923140.4 N>W2-2 = 102913.4 N Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N>W3-3 = 655753.3 N
OK
OK
Also paths are stronger than the required strength of W of 151513.2 N [see UG-41 (b) (2)] thus, the Weld Strength Paths Are Adequate. 8-2-11
For safety valve nozzle B (DN150) per UG-37
●Internal ●Design
design pressure
temperature
●Material
(℃)
of the vessel wall
●Allowable ●Material
P (MPa)
stress of the vessel wall at design temperature
: 0.65 : 300 : SA-516MGr.485
SV (MPa)
of the nozzle wall
: 136 : SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
DOC. NO.: 2011-83-1-86811-342-0
●Inside
diameter of ellipsoidal head (corroded)
●Analysis
●Outside
●Inside
REV.: 0
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
PAGE
D
131
(mm)
OF
: 1807
t (mm)
: 6.94
Rno(mm)
: 84.15
Rn (mm)
: 76.68
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.47
●Finished
diameter of opening corroded
d (mm)
: 153.36
tnc (mm)
: 9.0
θ (deg)
: 90
F
: 0.5
●Leg
length of outward nozzle fillet weld
●Angle
of plane with longitudinal axis
●Correction
factor
152
8-2-11-1 Size of opening Since ID is 1800 mm, according to UG-36(b) (1), third of the vessel diameter is 600 mm, and doesn’t exceed 1000 mm, therefore, 1000 mm is maximum limit without considering supplemental rules of 1-7. Now, the diameter of opening is 153.36 mm, so supplemental rules of 1-7 are not applied. 8-2-11-2 Wall thicknesses Required ellipsoidal head
tr =
Required thickness of a seamless shell tr (E=1.0)
0.65 × 1807 PD = = 4.33mm 2S d E − 0.2 P 2 × 136 × 1.0 − 0.2 × 0.65
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 84.15 PRno = = 0.44mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
8-2-11-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1= Sn/SV= 125.3/136 = 0.9213 Strength reduction factor for nozzle fr2 fr2= Sn/SV = 125.3/136 = 0.9213 8-2-11-4 Size of weld required [UW-16(b), Fig.UW-16.1 Sketch (e)]
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
132
OF
152
8-2-11-4(a) throat size of weld required UW-16(b) tc = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 10.44 , 10.97 ) = 10.44 mm tc (mininum) = lesser of 1/4 in. or 0.7 tmin , 6.0 or 0.7×10.44 = 6.0 mm Weld 41, actual weld leg = 9.0 mm Weld throat = 0.7 × weld size = 0.7 ×9.0 = 6.3 mm >6.0 mm The weld size is satisfactory. 8-2-11-4 (b) In plane 90 deg to longitudinal axis : 8-2-11-4 (b) (1) calculate the opening chord length at mid-surface of the required shell thickness as follows: Rm = R+tr/2= 903.5+4.33/2 = 905.665 mm L= 500 mm
500 + 76.68 L + Rn ) = cos-1( ) = 50.5 deg Rm 905.665 500 − 76.68 L − Rn α2= cos-1( ) = cos-1( ) = 62.1 deg Rm 905.665
α1= cos-1(
α=α2-α1= 62.1- 50.5 = 11.6 deg d = 2Rm
1 − cos 2 (α/ 2) =2×905.665× 1 − cos 2 (11.6 / 2) =183.1 mm
Per UG-37(b) and Fig.UG-37, F=0.5 8-2-11-4(b) (2) Check for limits of reinforcement: 8-2-11-4 (b) (2-1) Limit parallel to the vessel wall (circumferentially): larger of
dc = 183.1 mm
or
Rnc + tn + t = 91.55 + 7.47 + 6.94 = 105.96 mm
Use 183.1 mm 8-2-11-4 (b) (2-2) Limit normal to the vessel wall: smaller of
2.5t = 2.5×6.94 = 17.35 mm or 2.5tn+te = 2.5×7.47 + 0 = 18.675 mm
Use 17.35 mm 8-2-11-5 Area of reinforcement required in plane 90 deg to longitudinal axis
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
133
OF
152
A = dtr F + 2tntr F (1 − f r1 ) = 183.1 × 4.33 × 0.5 + 2 × 7.47 × 4.33 × 0.5 × (1 − 0.9213) = 396.5 + 2.6 = 399.1 mm2 8-2-11-6 Area of reinforcement available in plane 90 deg to longitudinal axis 8-2-11-6 (a) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 183.1×(1×6.94-0.5×4.33)-2×7.47×(1×6.94-0.5×4.33)×(1-0.9213) = 477.9 – 3.1 = 474.8 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(6.94 + 7.47) × (1×6.94-0.5×4.33)-2×7.47× (1×6.94-0.5×4.33)×(1-0.9213) = 137.6 – 3.1 = 134.5 mm2 A1= the larger of (A11,A12)= 474.8 mm2 8-2-11-6 (b) Area available in nozzle A2 α3= cos-1(
500 − 76.68 L − Rn ) = cos-1( ) = 62.3 deg R+t 903.5 + 6.94
A2 = the smaller of the following By observation, A2 on the upper side of the nozzle is smaller than A2 on the lower side of the nozzle. In accordance with UG-37(b), not less than half the required reinforcement shall be on each side of the opening. Therefore, A2 on the lower side shall not be greater than A2 on the upper side.
A21 = 5(tn − trn ) f r 2t / sin(α3 ) = 5 × (7.47 − 0.44 ) × 0.9213 × 6.94 / sin 62.3 = 253.8mm 2 A22 = 5(tn − trn )tn f r 2 / sin(α3 ) = 5 × (7.47 − 0.44 ) × 7.47 × 0.9213 / sin 62.3 = 273.2mm2 A2 = the smaller of (A21, A22) = 253.8 mm2 8-2-11-6(c) Area available in outward nozzle weld: Since the welds vary from a fillet to a butt-type weld, and A41 will not be considered. 8-2-11-6 (d) Area provided by A1 + A2 = 474.8 + 253.8 = 728.6 Sq. mm > A= 399.1 Sq. mm This is greater than the required reinforcing area of 399.1 sq. mm. Therefore, the opening is adequately reinforced in the plane considered. 8-2-11-7 Since the plane under consideration requires only 50% (F=0.5) of the required
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
134
OF
152
reinforcement in the plane parallel to the longitudinal shell axis, the opening may not be adequately reinforced in the other planes. A check for reinforcement in plane parallel to the longitudinal shell axis is needed. d = 153.36 mm
F = 1.0
8-2-11-7 (a) Area of reinforcement required
A = dtr F + 2tntr F (1 − f r1 ) = 153.36 ×4.33 ×1.0 + 2 ×7.47×4.33×1.0 × (1-0.9213) = 664.1 + 5.1 = 669.2 mm2 8-2-11-7 (b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 153.36×(1×6.94-1×4.33)-2×7.47 ×(1×6.94-1.0×4.33)×(1-0.9213) = 400.3 – 3.1 = 397.2 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2×(6.94+7.47) × (1×6.94-1×4.33)-2×7.47× (1×6.94-1.0×4.33)×(1-0.9213) = 75.2 – 3.1 = 72.1 mm2 A1=the larger of (A11,A12) = 397.2 mm2 8-2-11-7 (c) Area available in nozzle A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.47 − 0.44 ) × 0.9213 × 6.94 = 224.7mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.47 − 0.44 ) × 0.9213 × 7.47 = 241.9mm2 A2 = the smaller of (A21, A22) =224.7 mm2 8-2-11-7 (d) Area available in outward nozzle weld A41: A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-2-11-7 (e) Total area available A1 +A2 +A41 = 397.2 + 224.7 + 74.6 = 696.5 mm This is greater than the required reinforcing area of 669.2 Sq. mm; therefore, opening is adequately reinforced. 8-2-12
For exhaust nozzle G (DN80)
●Internal ●Design
design pressure
temperature
●Material
of the vessel wall (cover)
per UG-39 P (MPa) (℃)
: 0.65 : 300 : SA-105M
DOC. NO.: 2011-83-1-86811-342-0
●
REV.: 0
Allowable stress of the vessel wall (cover) at design
PAGE
SV (MPa)
135
OF
152
: 129.3
temperature ●Material
of the nozzle wall
: SA-106 Gr.B
●Allowable
stress of the nozzle wall at design temperature
Sn (MPa)
: 125.3
●Corrosion
allowance (designated by customer)
C (mm)
: 3.5
dG ( mm )
: 425.3
t (mm)
: 31.9
Rno(mm)
: 44.45
Rn (mm)
: 36.82
●
Diameter, measured as indicated in Fig. UG-34
●Analysis
●Outside
●Inside
thickness of the vessel wall corroded
radius of the nozzle
radius of the nozzle corroded
●Analysis
thickness of nozzle wall corroded
tn (mm)
: 7.63
●Finished
diameter of opening corroded
d (mm)
: 73.64
●Leg
length of outward nozzle fillet weld
Weld leg (mm)
: 10.0
●Leg
length of inward nozzle fillet weld
Weld leg (mm)
: 10.0
θ (deg)
: 0.0
F
: 1.0
●Angle
of plane with longitudinal axis
●Correction
factor
8-2-12-1 Size of opening Since ID is 350mm, according to UG-36(b) (1), one half the vessel diameter is 175 mm, and doesn’t exceed 500mm, therefore, 500mm is maximum limit without considering supplemental rules of 1-7.Now, the diameter of opening is 73.64 mm, so supplemental rules of 1-7 are not applied. 8-2-12-2 Wall thicknesses Required cover
Required thickness of cover tr (E=1.0)
ts = 26.9 mm (calculated by 5-2-15) Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
trn =
0.65 × 44.45 PRno = = 0.24mm S n E1 + 0.4 P 125.3 × 1 + 0.4 × 0.65
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
136
OF
152
8-2-12-3 Material Strength Reduction Factor Strength reduction factor for nozzle fr1 fr1=Sn/SV= 125.3/129.3 = 0.9691 Strength reduction factor for nozzle fr2 fr2=Sn/SV = 125.3/129.3 = 0.9691 8-2-12-4 Size of weld required [UW-16(c), Fig.UW-16.1 Sketch (i)] t1 or t2 = not less than the smaller of 1/4 in. or 0.7 tmin tmin =lesser of 3/4 in. or the thickness less corrosion allowance of the thinner part joined. = min.( 19 , 33.4 , 11.13 ) = 11.13 mm t1 or t2 ≥ min.( 6 , 0.7×11.13 ) = 6.0 mm therefore throat must be at least 6.0 mm Weld 41, actual weld leg = 10.0 mm Weld 43, actual weld leg = 10.0 mm t1 or t2 = 0.7 × weld size = 0.7 ×10.0 = 7.0 mm (actual)
1 tmin = 13.9125 mm 4 1 t1 + t2 = 7.0 + 7.0 = 14.0 > 1 tmin = 13.9125 mm 4
check t1 + t2 ≥ 1
Cover weld satisfactory 8-2-12-4(b) Check for limits of reinforcement: 8-2-12-4(b) (1) Limit parallel to the vessel wall: larger of d = 73.64 mm or Rn + tn + t = 36.82 + 7.63 + 31.9 = 76.35 mm Use 76.35 mm 8-2-12-4(b) (2 ) Limit normal to the vessel wall: smaller of
2.5t = 2.5×31.9 = 79.75 mm or 2.5tn+te = 2.5×7.63 + 0 = 19.075 mm
Use 19.075 mm 8-2-12-5 Area of reinforcement required [UG-37] 8-2-12-5(a)
Area of reinforcement required
A = 0.5dtr + tntr (1 − f r1 ) = 0.5 × 76.35 × 26.9 + 26.9 × 7.63 × (1 − 0.9691)
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
137
OF
152
= 1027 + 6.4 = 1033.4 mm2 8-2-12-5(b) Area available in shell A1
A11 = d [E1t − Ftr ] − 2tn [E1t − Ftr ](1 − f r1 ) = 76.35×(1.0×31.9-1×26.9)-2×7.63×(1.0×31.9-1.0×26.9)×(1-0.9691) = 382.5 – 2.4 = 380.1 mm2
A12 = 2(t + tn )(E1t − Ftr ) − 2tn (E1t − Ftr )(1 − f r1 ) =2(31.9 + 7.63) × (1.0×31.9-1×26.9)-2×7.63× (1.0×31.9-1.0×26.9)×(1-0.9691) = 395.3 – 2.4 = 392.9 mm2 A1 = the larger of (A11,A12) = 392.9 mm2 8-2-12-5(c)
Area available in nozzle projecting outward A2
A21 = 5(tn − trn ) f r 2t = 5 × (7.63 − 0.24 ) × 0.9691 × 31.9 = 1142.3mm2 A22 = 5(tn − trn ) f r 2tn = 5 × (7.63 − 0.24 ) × 0.9691 × 7.63 = 273.2mm2 A2=the smaller of (A21, A22) = 273.2 mm2 8-2-12-5(d) Area available in nozzle projecting inward A3
Inner "h" limit:
min[h, 2.5t , 2.5tn]= [400, 79.75 , 19.075] = 19.075 mm
A31 = 5tt j f r 2 = 5 × 31.9 × 7.63 × 0.9691 = 1179.4mm 2 A32 = 5t j t j f r 2 = 5 × 7.63 × 7.63 × 0.9691 = 282.1mm 2 A33 = 5ht j f r 2 = 5 × 19.075 × 7.63 × 0.9691 = 705.2mm 2 A3= the smaller of (A31, A32, A33 ) = 282.1 mm2 8-2-12-5(e) Area available in fillet welds A4 8-2-12-5(e)(1) Area available in outward fillet weld A41 A41= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9691 = 96.9 Sq. mm 8-2-12-5(e)(2) Area available in inward fillet weld A43 8-2-12-5(f)
A43= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9691 = 96.9 Sq. mm Total area available
A1 +A2 +A3 +A41 +A43 = 392.9 + 273.2 + 282.1 + 96.9 + 96.9 = 1142 Sq. mm This is greater than the req uired area of 1033.4 Sq. mm so is a reinforcing element is not needed. 8-2-12-6 Check the welds per UW-16 and UW-16.1 (i) 8-2-12-6-1 Check Load to be carried by welds [Fig.UG-41.1 Sketch (a)]
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
138
OF
152
8-2-12-6-1 (a) Per UG-41 (b) (1) W1-1 = (A2 + A5 + A41 + A42) × Sv = ( 273.2 + 0 + 96.9 + 0) × 129.3 = 47853.9 N W2-2 = (A2 + A3 + A41 + A43 + 2 tn t fr1) Sv = ( 273.2+ 282.1 + 96.9 + 96.9 +2 × 7.63 × 31.9 × 0.9691)× 129.3 = 157856.2 N 8-2-12-6-1 (b) Per UG-41 (b) (2) W= [A - A1 + 2tn fr1 (E1t - Ftr)]Sv = [1033.4 – 392.9 + 2× 7.63× 0.9691× (1.0 × 31.9 - 1.0 × 26.9)] *129.3 = 92377.4 N Since W is smaller than W2-2, W may be used in place of W2-2 for comparing weld capacity to weld load. 8-2-12-6-2 Unit Stresses per UG-45(c) and UW-15 (c) 8-2-12-6-2 (a) Fillet weld shear = 0.49×125.3 = 61.4 Mpa 8-2-12-6-2 (b) Nozzle wall shear = 0.7×125.3 = 87.71 Mpa 8-2-12-6-3 Strength of connection elements 8-2-12-6-3 (a) Fillet weld shear = π/2 × nozzle O.D. × weld leg × 61.4 = 1.57 × 88.9 × 10.0 ×61.4 = 85697.8 N 8-2-12-6-3 (b) Nozzle wall shear = π/2 × mean nozzle diameter × tn × 87.71 = 1.57×77.77×7.63× 87.71 = 81712 N 8-2-12-6-4 Check Strength paths Path 1-1 = 85697.8 + 81712 = 167409.8 N Path 2-2 = 85697.8 + 85697.8 = 171395.6 N All paths are stronger than the required strength of W of 92377.4 N [see UG-41 (b) (2)] Weld Strength Paths Are Adequate.
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
139
9. Pressure – temperature rating for flange and flange cover (ASME B16.5 TABLE 2-1.1) Part: nozzle A1 A2.D1-2.G..T1-2.U1-4.X1-2.Z1-2 Flange rating: class 150 pressure – temperature rating Design condition Flange material: SA-105M Design pressure: 0.65 MPa Design temperature: 300℃ Pressure – temperature rating of table 2-1.1 Material group
1.1
Materials
Carbon Steel
Temp (℃)
200
250
300
Pressure (bar)
13.8
12.1
10.2
Therefore, Allowance Pressure:1.02MPa (Design pressure) 0.65 MPa < 1.02 MPa …… OK.
OF
152
DOC. NO.: 2011-83-1-86811-342-0
10
REV.: 0
PAGE
140
OF
CALCULATION OF LIFTING LUGS OF TOWER ( Appendix A of HG/T21574-2008)
Equipment empty mass: Lifting plate of material:
m= 4420 kg SA-516MGr.485
Backing strip of material:
SA-516MGr.485
Lifting plate of thickness:
S=16 mm
Backing strip of thickness:
S= 10 mm
Allowable tensile stress:
SA=136 MPa
Allowable shearing stress:
τA = 95.2 MPa
Fillet welded joint factor:
φa= 0.7
Dynamic load factor:
k= 1.65
Lifting vertical load FV=0.5×4420×9.81×1.65= 35773 N Lifting transverse load FH = FV×tan30°= 35773×tan30°= 20654 N Lifting sling load FL = FV/cos30°= 35773/cos30°= 41308 N Lifting radial bend of moment M = FH×L = 20654×80 = 1652320 N·mm Lifting sling max. tensile stress SL= FL/[S(2R-D)]= 41308/[16(2×60-50)]= 36.9 MPa SL<SA, It is safe. Lifting sling max. shearing stress
152
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
τL= SL= 36.9 MPa τL<τA , It is safe. Area of fillet weld: A = 2 (L×tan15°+R) S = 2× (80×tan15°+60) ×16 = 2606 mm2 Lifting plate weld tensile stress: St= Fv/A = 35773/2606 = 13.8 MPa Lifting plate weld shearing stress τt= FH/A = 20654/2606 = 8.0 MPa Lifting plate weld bend stress Sab′=6M/S[2(Ltan15°+R)]2 = 6×1652320/{16[2×(80×tan15°+60)] 2}= 23.4 MPa Compound stress Sab=
( St + S ab ′) 2 + 4τ t2 = (13.8 + 23.4) 2 + 4 × 8.02 = 40.5MPa
Lifting plate weld allowable stress [τ]=0.7×SA= 95.2 MPa Sab<[τ] ,It is safe.
141
OF
152
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
142
OF
11. check for strength and stability of the horizontal vessel with supplemental loading
δ
(according to Appendix A of JB/T4731-2005)
11-1 Calculation for Support Reaction Force (due to Uniform Loading) (1) Mass of Cylindrical Shell(between Two Tangents) m1=π(Di+δn)Lδnγe = 10311.5 ㎏ (2) Mass of Head(Curved Surface Portion) m2= 937.911 kg (3) Mass of Attachments (including platform) (4) Volume of Head Vh= 2.87351e+09 (5) Volume of Vessel V = 6.28888e+10
m3= 8000 ㎏
mm3 mm3
(6) Mass of Vesse Filled with Liquid: Under Operating Condition, m4=Vγ= 51460.1 ㎏ Under Hydrostatic Test Condition,
m4′=VγT= 62888.8 ㎏
(7) Total Mass: Under Operating Condition: m = m1 + m2 + m3 + m4 + m5 = 71647.4 ㎏ Under Hydrostatic Test Condition: m′= m1 + m2 + m3 + m4′+ m5 = 83076.1 ㎏ (8) Uniform Load Under Operating Condition:
q=mg/(L+4hi/3)= 68.832 N/mm
Under Hydrostatic Test Condition: q′=m′g/(L+4hi/3)= 79.8116 N/mm (9) Support Reaction Force due to Uniform Loading Under Operating Condition:
F′=mg/2= 351430.5 N
Under Hydrostatic Test Condition
F″= m′g/2 =407488.3 N
152
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
143
OF
(10) Shearing Force at Support due to Uniform Loading Under Operating Condition, V=F′((L-2A)/(L+4hi/3)= 240862.9 N Under Hydrostatic Test Condition, V′=F″((L-2A)/(L+4hi/3)= 279283.8 N 11-2 Calculations for Radial Load and External Moment due to Accessory Equipments (1) Structure size: L= 7000mm; l1 = 3687 mm; H0 = 250 mm; a = 3500 mm; b = 3500 mm Ri = 1400 mm ; δn = 16 mm ; di = 1800 mm; Si = 12mm; h = 1843.5 mm (2) Radial Load Mass of Cylindrical Shell and Head m1a′ + m2a′ = 1836 ㎏ Mass of Internals,Attachments and Insulation
m3a′ + m5a′ = 3000 ㎏
Mass of Filled Water Under Operating Condition:
m4a′ = 6510 ㎏
Under Hydrostatic Testing Condition:
m4a″ = 7160 ㎏
Mass of Attachment Under Operating Condition, m a′= m1a′ + m2a′ + m3a′ + m4a′ + m5a′ = 11346 ㎏ under Hydrostatic Testing Condition m a″ = m1a′ + m2a′ + m3a′+ m4a″+ m5a′ = 11996 ㎏ Weight Force Acted by Attachment Under Operating Condition,
W′= ma′g = 111304.26 N
Under Hydrostatic Testing Condition,
W”= ma″g = 117680.76 N
W = max(W’, W”) =117680.76 N (3) Calculation Condition without Seismic Load (3)-1 Support Reaction(Concentrated Load) Due to Weight Force
FI=(b/l)W′= 55652.13 N
FII=(a/l)W′= 55652.13 N
FI″=(b/l)W = 58840.38 N
FII″=(a/l)W = 58840.38 N
Combination of Support Reaction Combined Support Force
FIo=F′+ FI = 407082.63 N FIIo=F′+ FII = 407082.63 N FIo′=F″+ FI″= 466328.68 N
FIIo′=F″+ FII″= 466328.68 N
FI=(b/l)W′= 55652.13 N
FII=(a/l)W′= 55652.13 N
Maximum Shearing Force at Support
152
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
144
OF
152
2F 2 2 × 351430.5 2 ( hi + A) = 407082.63 − ( × 700 + 1140) 4 4 3 L + hi 9280 + × 700 3 3 3
°
νA = FⅠ −
= 296515.1 N °
νA = FⅡ −
2F 2 2 × 351430.5 2 ( hi + A) = 407082.63 − ( × 700 + 1140) 4 4 L + hi 3 9280 + × 700 3 3 3
= 296515.1 N (3)-2 Combined Moment due to Uniform and Concentrated Load Bending Moment due to Uniform Load At Acting Point K of Concentrated Load Under Operating Condition
M Kq = q[
Ra2 − hi2 2 A2 al a − hi A − + (1 − )] l 4 3 2 2
3500 11402 3500 × 7000 14082 − 7002 2 = 68.832 × [ − × 700 × 1140 − + )] (1 − 7000 2 2 4 3 = 68.832 × [373116 − 532000 − 649800 + 6125000] =3.65933×108 N.mm Under Hydrostatic Testing Condition:
M ′ Kq = q′ [
Ra2 − hi2 2 A2 al a − hi A − + (1 − )] l 4 3 2 2
3500 11402 3500 × 7000 14082 − 7002 2 = 79.8116 × [ − × 700 × 1140 − + )] (1 − 7000 2 2 4 3
= 79.8116 × [373116 − 532000 − 649800 + 6125000] =4.24304×108 N.mm At Support Under Operating Condition
M 2 = − F ′ A[1 −
1−
A Ra2 − hi2 + 2 AL ] L 4hi 1+ 3L
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
145
OF
1140 14082 − 7002 + 9280 2 × 1140 × 9280 ] = − 351430.5 × 1140 × [1 − 4 × 700 1+ 3 × 9280 1 − 0.122845 + 0.0705377 = -400630770×(1)=-5.565214×107 N.mm 1 + 0.100575 1−
Under Hydrostatic Testing condition
A Ra2 − hi2 + 2 AL ] L M T 2 = − F ″′ A[1 − 4hi 1+ 3L 1140 14082 − 7002 1− + 9280 2 × 1140 × 9280 ] = − 407488.3 × 1140 × [1 − 4 × 700 1+ 3 × 9280 1 − 0.122845 + 0.0705377 = -464536662×(1)=-6.452939×107 N.mm 1 + 0.100575 1−
(4) Bending Moment due to Concentrated Load (4)-1 due to Radial Force at Point K Under Operating Condition:
ab ' 3500 × 3500 W = × 111304.26 = 1.46926 × 108 N L 9280
M k' =
Under Hydrostatic Testing Condition
ab ″ 3500 × 3500 W = × 117680.76 = 1.553437 × 108 N L 9280
M k″ =
(4)-2 Combined Bending Moment At Acting Point K of Concentreated Load Under Operating Condition: MK = MKq + Mk′= 3.65933×108 + 1.46926×108 = 5.12859×108 N.mm Under Hydrostatic Testing Condition: MKT = M′Kq + Mk″= 4.24304×108 + 1.553437×108 = 5.796477×108 N.mm (5) Calculation for Axial Stress of Cylindrical Shell (5)-1 At Acting Point K of Concectrated Load, di = 812.8 mm, K10=0.785
Di = 2800 mm arcsinβ= 0.290285714, β= 16.875
K11=0.89
under Operating Condition
152
DOC. NO.: 2011-83-1-86811-342-0
σ1k =
REV.: 0
PAGE
146
OF
152
pc Ra Mk 0.65 × 1408 5.12859 × 108 − − = 2 2δe 2 × 13.4 0.785 ×π× 14082 × 13.4 K10πRa δe
= 34.15 - 7.83 = 26.32 MPa At Acting Point K of Concectrated Load underHydrostatic Testing Condition (Vessel under Internal Pressure) After water filling, if PT = 0
σ1kT = −
5.796477 × 108 M kT − = = -8.85 MPa 2 0.785 ×π× 14082 × 13.4 K10πRa δe
At Acting Point K of Concectrated Load under Operating Condition
0.65 × 1408 5.12859 × 108 pc Ra Mk − = + σ2 k = 2 2 × 13.4 0.89 ×π× 14082 × 13.4 2δe K11πRa δe = 34.15 + 6.91 = 41.06 MPa At Acting Point K of Concectrated Load underHydrostatic Testing Condition(Vessel under Outside Pressure)
σ2 kT =
pT Ra M kT 1.04 × 1408 5.796477 × 108 + − = 2 2δe 2 × 13.4 0.89 ×π× 14082 × 13.4 K11πRa δe
= 54.64 + 7.81 = 62.45 MPa (5)-2 At Mid-Point C of Cylindrical Shell under Operating Condition:
407082.63 2 FⅠ0 2 x1 = − hi − A = − × 700 − 1140 = 4307.48 q 3 68.832 3 if x1> a =3500 then x2 =
407082.63 2 FⅡ0 2 − hi − A = − × 700 − 1140 = 4307.48 q 3 68.832 3
if x2> b =3500 then Mm =0 x1T =
466328.68 2 FⅠ0 ′ 2 − hi − A = − × 700 − 1140 = 4236.2 q′ 3 79.8116 3
X2T =
466328.68 2 FⅡ0 ′ 2 − hi − A = − × 700 − 1140 = 4236.2 q′ 3 79.8116 3
MmT =0 (5)-3 When Mm = 0, there is no need to calculate σ1 and σ2 When Mm T= 0, there is no need to calculate σT1 and σT2 .
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
147
OF
152
At Mid-Point C of Cylindrical Shell under Operating Condition
σ1 =
pc Ra Mm − =0 2δe πRa 2δe
At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal Pressure) After water filling, if PT = 0
M mT σT 1 = − =0 2 πRa δe At Mid-Point C of Cylindrical Shell under Operating Condition
pc Ra Mm + =0 2δe πRa 2δe
σ2 =
At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal Pressure)
σ2T =
pT Ra M mT =0 + 2δe πRa 2δe
(5)-4 Calculation Factors Ra/2 = 704, θ = 120, K1= 1
A = 1140,
K2 = 1
At Top Point of Central Section of Support (a) under Operating Condition
σ3 =
pc Ra M2 0.65 × 1408 − 5.565214 × 107 − − = 2δe πK1Ra 2δe 2 × 13.4 π× 1 × 14082 × 13.4
= 34.15 + 0.67 = 34.82 MPa (b) undet Hydrostatic Testing Conditiong PT = 0
MT 2 − 6.452939 × 107 σT 3 = − − = = 0.78 MPa 2 π× 1 × 14082 × 13.4 πK1Ra δe PT ≠ 0
σT 3 =
pT Ra MT 2 1.04 × 1408 − 6.452939 × 107 = − − 2δe πK1Ra 2δe 2 × 13.4 π× 1 × 14082 × 13.4
= 54.64 + 0.78 = 55.42 MPa
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
148
OF
152
Maximum Axial Tensile Stress Under Operating Condition < φ[σ ]t = 115.6 MPa
O.K
Maximum Axial Compressive Stress Under Operating Condition < [σ ]ac = 75 MPa
O.K
At Bottom Point of Central Section of Support (a) under Operating Condition
σ4 =
pc Ra M2 0.65 × 1408 − 5.565214 × 107 + + = 2δe πK 2 Ra 2δe 2 × 13.4 π× 1 × 14082 × 13.4
= 34.15 - 0.67 = 33.48 MPa (b) undet Hydrostatic Testing Conditiong PT = 0
σT 4 =
− 6.452939 × 107 MT 2 = = -0.78 MPa 2 2 πK 2 Ra δe π× 1 × 1408 × 13.4
PT ≠ 0
pT Ra MT 2 1.04 × 1408 − 6.452939 × 107 σT 4 = + + = 2δe πK 2 Ra 2δe 2 × 13.4 π× 1 × 14082 × 13.4 = 54.64 - 0.78 = 53.86 MPa (5)-5 check for axial stress in cylindrical shell (a) allowable compressive stress. see UG-23(b) A=
0.125 0.125 = = 0.001412 RO / t 1416 / 16
E = 185×103 MPa ET = 202×103 MPa Under Operating Condition:
B = 75 MPa
Under Hydrostatic Testing Condition:
(from Fig. CS-2)
B = 98 MPa (from Fig. CS-2)
Allowable Compresive Sress t
[σ] ac = min(σt, B) = 75 MPa [σ] ac = min(0.9Rel, B) = min(0.9×204, 75) = 75 MPa (b) Stress Checking
Maximum Axial Tensile Stress Under Hydrostatic Test Condition < 0.9ReL = 183.6 MPa
O.K
Maximum Axial Compressive Stress Under Hydrostatic Test Condition < [σ ]ac = 75 MPa O.K
DOC. NO.: 2011-83-1-86811-342-0
REV.: 0
PAGE
149
OF
152
11-3 Calculation for Circumferential Shearing Stress With Ra/2, A and θ, from table 6-2:
K3 = 0.319
K4 = , K0 = 1.2
A>Ra/2, Cylindrical Shell Not Stiffened by Head (1) calculation for circumferential shearing stress in cylindrical shell: F = 466328.68 N τ=
K 3 F ⎛ L − 2 A ⎞ 0.319 × 466328.68 ⎛ 9280 − 2 ×1140 ⎞ ⎜ ⎟= ⎜ ⎟ = 5.41MPa 1408 ×13.4 Ra δ e ⎜⎝ L + 4hi / 3 ⎟⎠ ⎝ 9280 + 4 × 700 / 3 ⎠
(2) check for circumferential shearing stress τ = 5.41 MPa < 0.8 [σ ]t = 108.8 MPa
OK.
11-4 circumferential stress in cylindrical shell at saddle support: Effective Width of Cylindrical Shell
R aδ
b2 = b+1.56
ne
= 378 +1.56 1408 × 16 = 612.146 mm
Cylindrical Shell With Stiffening Ring Parameters of Stiffening Ring e=66.5682 mm d=112.532 mm Number of Stiffening Rings, n = 1 Total Combined Sectional Area , A0= 9841.01
mm2
Total Moment of Innertia of Combined Section, I0 = 5.01192e+07 Allowable Stress at Design Temperature [σ ]t = 136
mm4
MPa
Stiifening Ring Located at Same Plane of Saddle Support C4=-1
C5=1
K7=0.053
K8=0.341
Circumferential Stress of Cylindrical Shell at Side Corner of Saddle Suport: σ7= -
K8 F C4 K 7 FRa e + A0 I0
= −
0.341 × 466328.68 − 1 × 0.053 × 466328.68 × 1408 × 66.5682 + 9841.01 5.01192 × 107
= -16.17 - 46.25 = -62.42 MPa Circumferential Stress of Inner or Outer Surface of Stiffening Ring at Side Corner of Saddle Support: σ8= -
K8 F C5 K 7 FRa d + A0 I0
DOC. NO.: 2011-83-1-86811-342-0
= −
REV.: 0
PAGE
150
OF
152
0.341 × 466328.68 1 × 0.053 × 466328.68 × 1408 × 112.532 + 9841.01 5.01192 × 107
= -16.17 +78.14 = 61.97 MPa Stress Identification . [σ ] = 170 MPa |σ7| < 125 t
t . [σ ] R = 170 MPa |σ8| < 125
O.K O.K
11-5 Calculation for Saddle Support Stress: (1) horizontal component and strength identification (a) Horizontal component θ= 120deg;
K9 = 0.204
FS=K9F = 95131.1 N horizontal (b) horizontal stress in Web Calculated Height
HS=min(Rm/3, H0) = 250 mm
Thickness of Saddle Support Web b0 = 18 mm Actual width of Saddle Support Backing Plate b4= 620
b= 378 b2 = 612.146 mm
Effective Width of Saddle Support Backing Plate
br= min(b4, b2) = 612.146 mm
Backing Plate Having Stiffening Action: σ9=
Fs 95131.1 = = 8.031 MPa H sb0 + brδre 250 × 18 + 612.146 × 12
(c) stress identification Stress Identification σ9