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mechanical calcualtion report for deaerator vessel
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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 DESCRIPTIONDESIGNED 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:
(1) APPLICABLE CODE
CUSTOMER SPECIFICATION
ASME BOILER AND PRESSURE VESSELS CODE
SECTION Ⅷ DIVSION 1 2010 EDITION AND
PED 97/23/EC
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 DEAERATOR′S
TOWER Item Description Yes No Yes No
1 Internal pressure [ √ ] [ ] [ √ ] [ ] 2 External pressure [ ] [ √ ] [ ] [ √ ] 3 Weight of vessel [ √ ] [ ] [ √ ] [ ] 4 Weight of normal contents under operation
conditions [ √ ] [ ] [ ] [√ ]
5 Weight of normal contents under test conditions [ √ ] [ ] [ √ ] [ ] 6 Superimposed static reactions from weight of
attached equipment [ ] [ √ ] [ ] [ √ ]
7 The attachments of internals [ ] [ √ ] [ ] [ √ ] 8 The attachments of vessel supports (skirt, legs,
saddles etc.) [ √ ] [ ] [ √ ] [ ]
9 The attachments of hanger [ √ ] [ ] [ √ ] [ ] 10 Cyclic and dynamic reactions due to pressure [ ] [ √ ] [ ] [ √ ] 11 Cyclic and dynamic reactions due to thermal
variations [ ] [ √ ] [ ] [ √ ]
12 Cyclic and dynamic reactions due to equipment mounted on the vessel
[ ] [ √ ] [ ] [ √ ]
13 Cyclic and dynamic reactions due to mechanical loadings
[ ] [ √ ] [ ] [ √ ]
14 Wind reactions [ ] [ √ ] [ ] [ √ ] 15 Snow reactions [ ] [ √ ] [ ] [ √ ] 16 Seismic reactions [ ] [ √ ] [ ] [ √ ] 17 Impact reactions, such as those due to fluid shock [ ] [ √ ] [ ] [ √ ] 18 Temperature gradients [ ] [ √ ] [ ] [ √ ] 19 Differential thermal expansion [ ] [ √ ] [ ] [ √ ] 20 Abnormal pressure, such as those caused by
deflagration [ ] [ √ ] [ ] [ √ ]
21 Test pressure and coincident static head acting during the test (See UG-99)
[√ ] [ ] [√ ] [ ]
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 STEAM LEAKING FROM GATE POLE SA-106Gr.B
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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 6 OF 152
NOZZLE NO. Q’TY SIZE TYPE DESCRIPTION REMARKS
U1-4 4 DN50 CLASS150 SO RF EQUALIZER NOZZLE SA-106Gr.B
V1-2 2 DN20 INTERNAL THREAD BIMETALLIC THERMOMETER NOZZLE SA-105M
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 DRAIN INLET SA-106Gr.B
Z1-2 2 DN50 CLASS150 SO RF ELECTRIC CONTACT LEVEL GAUGE NOZZLE SA-106Gr.B
Y2 1 DN80 WELDING 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)YIELD STRENGTH
VALUE (MPa)
TENSILE STRENGTH
VALUE (MPa)
ASME PED ASME ASME
300℃ 20℃ 300℃ 20℃ 300℃ 20℃ 300℃ 20℃
SHELL AND HEAD MATERIAL
SA-516MGr.485 136 138 136 174.6 204 262 483 483
PIPE MATERIAL
SA-106Gr.B 118 118 125.3 160.6 188 241 414 414
FLANGE MATERIAL
SA-105 129 138 129.3 165.3 194 248 483 483
BOLT MATERIAL
SA-193.B7 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
Part : Shell of tank
Design pressure P (MPa) : 0.65
Design temperature (℃) : 300
Material : 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 H (m) : 6.769
Density of test medium (water) at test temperature ρ (kg/m3) : 1000
Type of welded joints in TABLE UW-12 : Type No. (1)
Radiographic examination : SPOT
Per UW-11(b)
Joint efficiency (specified in UW-12) E : 0.85
Negative Deviation: C1 (mm) : 0.3
Corrosion allowance (designated by customer) C2 (mm) : 2.6
Nominal shell thickness tn (mm) 16
Inside radius corroded R (mm) : 1402.6
Final center line radius Rf (mm) : 1408
Original center line radius (specified in UCS-79) Ro (mm) : ∞(Infinity)
Shell length L (mm) : 9280
Total weight WT (kg) : 95000
Reaction at each saddle Q (N) : 465975
Head depth H (mm) : 700
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
mmPES
PRtd
73.87165.06.085.0136
6.14027165.06.01 =
×−××
=−
=
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:
t2 = PSE
PR4.02 +
±
⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢
⎣
⎡
−+
−+
×LA
LH
LHR
SERQL 4
341
)(21
42
22
2π
= 7165.04.085.01362
6.14027165.0×+××
×±
⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢
⎣
⎡×
−
××
+
−+
××××
×9280
11404
9280370041
9280)7006.1402(21
85.01366.140249280465975 2
22
2π
= 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 = tRO /
125.0=
16/6.1418125.0
= 0.00141
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.
t3 =
⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢
⎣
⎡
−+
−+
×LA
LH
LHR
SERQL 4
341
)(21
42
22
2π
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 10 OF 152
=
⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢
⎣
⎡×
−
××
+
−+
××××
×9280
11404
9280370041
9280)7006.1402(21
85.0706.140249280465975 2
22
2π
= 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 OK
(4) 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
%5%569.0%140811408
1650%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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
Part : Shell of tower
Design pressure P (MPa) : 0.65
Design temperature (℃) : 300
Material : 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 H (m) : 2.950
Density of test medium (water) at test temperature ρ (kg/m3) : 1000
Type of welded joints in TABLE UW-12 : Type No. (1)
Radiographic examination : SPOT
Per UW-11(b)
Joint efficiency (specified in UW-12) E : 0.85
Negative Deviation: C1 (mm) : 0.3
Corrosion allowance (designated by customer) C2 (mm) : 3.5
Nominal shell thickness tn (mm) 12
Inside radius corroded R (mm) : 903.5
Final center line radius Rf (mm) : 906
Original center line radius (specified in UCS-79) Ro (mm) : ∞(Infinity)
(1) Required minimum shell thickness excluding allowance (circumferential stress)
0.385SE = 0.385×136×0.85=44.506> P according to UG-27(b)&(c)
(a) For design condition
mmPES
PRtd
10.565.06.085.0136
5.90365.06.01min =
×−××
=−
=
(b) For hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 12 OF 152
mm
HESRH
PESPRt
tt
12.415.097.3)10/100095.281.9(6.085.06.174
5.90310/100095.281.965.06.085.06.174
5.90365.0
)10/81.9(6.0)10/81.9(
6.0
6
6
6
6
2min
=+=×××−×
×××+
×−××
=
−+
−=
ρρ
(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 OK
(4) 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
%5%663.0%9061906
1250%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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 : Heads of tank
●Design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material : 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
●Density of test medium at test temperature ρ(kg/m3) : 1000
Type of welded joints in TABLE UW-12 : Type No. (1)
Radiographic examination : SPOT
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 allowance (designated by customer) C2 (mm) : 2.6
●Inside diameter of ellipsoidal head (corroded) D 2805.2
●Inside spherical radius of hemispherical head R (mm) : 1402.6
●Crown final centerline radius (specified in UG-32(d)
and UCS-79)
Rf (mm) : 2528
●Knuckle final centerline radius (specified in UG-32(d)
and UCS-79)
rf (mm) : 482.96
●Original center line radius (specified in UCS-79) R0 (mm) : ∞(Infinity)
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 14 OF 152
(1) 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
mmPES
PDtd
90.765.02.085.01362
2.280565.02.021min =
×−×××
=−
=
(b) For the right head
(b-1) for design condition
Required minimum head thickness excluding allowance tmin
mmPES
PDtd
90.765.02.085.01362
2.280565.02.022min =
×−×××
=−
=
(b-2) for hydrostatic test condition
(Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)
mm
HESDH
PESPDt
tt
78.663.015.6)10/1000769.681.9(2.085.06.1742
2.280510/1000769.681.965.02.085.06.1742
2.280565.0
)10/81.9(2.02)10/81.9(
2.02
6
6
6
6
3min
=+=×××−××
×××+
×−×××
=
−+
−=
ρρ
(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
mmPSE
PLt h 11.765.02.085.01362
68.252465.02.02min =
×−×××
=−
=
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 OK
(6) 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
%5%475.0%252812528
1675%175
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
Knuckle radius elongation
%5%49.2%96.482196.4821675%175
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
Rr
rtr f
f
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 16 OF 152
4-2 DEAERATOR′S TOWER:
ASME SEC.Ⅷ DIV.1 UG-32
●Part : Heads of tower
●Design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material : 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
●Density of test medium at test temperature ρ(kg/m3) : 1000
Type of welded joints in TABLE UW-12 : Type No. (1)
Radiographic examination : SPOT
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 allowance (designated by customer) C2 (mm) : 3.5
●Inside diameter of ellipsoidal head (corroded) D 1807
●Inside spherical radius of hemispherical head R (mm) : 903.5
●Crown final centerline radius (specified in UG-32(d)
and UCS-79)
Rf (mm) : 1626
●Knuckle final centerline radius (specified in UG-32(d)
and UCS-79)
rf (mm) : 311.22
●Original center line radius (specified in UCS-79) R0 (mm) : ∞(Infinity)
(1) 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 PAGE 17 OF 152
ts/L = 10.44/1626.3 =0.00642 > 0.002 according to UG-32(d)
(a) For the top head according to UG-32(d)
(a-1) for design condition
Required minimum head thickness excluding allowance tmin
mmPES
PDtd
09.565.02.085.01362
180765.02.021min =
×−×××
=−
=
(b) For the bottom head
(b-1) for design condition
Required minimum head thickness excluding allowance tmin
mmPES
PDtd
09.565.02.085.01362
180765.02.022min =
×−×××
=−
=
(b-2) for hydrostatic test condition
(Due to same dimension for ellipsoidal heads, the bottom head will be applied for calculation)
mm
HESDH
PESPDt
tt
17.421.096.3)10/1000437.381.9(2.085.06.1742
180710/1000437.381.965.02.085.06.1742
180765.0
)10/81.9(2.02)10/81.9(
2.02
6
6
6
6
3min
=+=×××−××
×××+
×−×××
=
−+
−=
ρρ
(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 REV.: 0 PAGE 18 OF 152
mmPSE
PLt h 58.465.02.085.01362
3.162665.02.02min =
×−×××
=−
=
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 OK
(6) 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
%5%554.0%162611626
1275%175
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
Knuckle radius elongation
%5%892.2%22.311122.3111275%175
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
Rr
rtr f
f
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
●Material of nozzle neck : SA-516M Gr.485
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
136
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
174.6
●Material of head : SA-516M Gr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6.387
●Density of test medium at test temperature (water) ρ(k/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
Type No. (1)
●Radiographic examination of nozzle neck SPOT Per UW-11(b)
●Joint efficiency of nozzle neck (specified in UW-12) E : 0.85
●Negative Deviation: C1 (mm) : 0.3
●Corrosion allowance (designated by customer) C2 (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 254
●Inside radius of nozzle corroded R (mm) : 244.6
●Inside radius of shell corroded Rs (mm) : 1402.6
●Final center line radius of nozzle Rf (mm) : 248
●Original center line radius of nozzle R0 (mm) : ∞(Infinity)
(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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 20 OF 152
Required minimum thickness including allowance
mmCPES
PRtd
29.49.239.16.23.065.06.085.0136
6.24465.06.01min =+=++
×−××
=+−
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRttt
09.49.211.008.1
6.23.0)10/1000387.681.9(6.085.06.174
6.24410/1000387.681.965.06.085.06.174
6.24465.0
)10/81.9(6.0)10/81.9(
6.0
6
6
6
6
2min
=++=
++×××−×
×××+
×−××
=
+−
+−
=ρ
ρ
(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))
mm
CSER
MPSE
PRt
4.39.2000013.046.0
6.23.085.02046.244
40865.04.085.02042
6.24465.04.02
2
21
3
≈++=
++×××
+×+××
×=
+++
=
π
π
mmCSER
Mt 0.39.200004.06.23.085.02046.244
114322
24 ≈+=++
×××=+=ππ
(2) Provided thickness
Nominal thickness (mm) 12 > 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
%5%42.2%2481248
1250%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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 REV.: 0 PAGE 21 OF 152
5-1-2 FOR NOZZLE B.K ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 3.953
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 109.55
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 8.18
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 17.36.265.04.013.125
55.10965.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 22 OF 152
mm
CHES
RHPES
PRtt
o
t
o
08.36.203.045.0
6.2)10/1000953.381.9(4.016.160
55.10910/1000953.381.965.04.016.160
55.10965.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
5-1-3 FOR NOZZLE C1-2. .M ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 3.953
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 23 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 44.45
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 5.49
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 84.26.265.04.013.125
45.4465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
8.26.202.018.0
6.2)10/1000953.381.9(4.016.160
45.4410/1000953.381.965.04.016.160
45.4465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 24 OF 152
5-1-4 FOR NOZZLE D1 ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 3.953
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 84.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 7.11
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 04.36.265.04.013.125
15.8465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 25 OF 152
mm
CHES
RHPES
PRtt
o
t
o
98.26.203.035.0
6.2)10/1000953.381.9(4.016.160
15.8410/1000953.381.965.04.016.160
15.8465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-1-5 FOR NOZZLE L ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 3.953
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 26 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 57.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 6.02
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 9.26.265.04.013.125
15.5765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
86.26.202.024.0
6.2)10/1000953.381.9(4.016.160
15.5710/1000953.381.965.04.016.160
15.5765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 27 OF 152
5-1-6 FOR NOZZLE N ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6.919
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 84.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 7.11
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 04.36.265.04.013.125
15.8465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 28 OF 152
mm
CHES
RHPES
PRtt
o
t
o
99.26.204.035.0
6.2)10/1000919.681.9(4.016.160
15.8410/1000919.681.965.04.016.160
15.8465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-1-7 FOR NOZZLE O.R ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6.919
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 29 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 136.5
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 9.27
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 31.36.265.04.013.125
5.13665.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
22.36.206.056.0
6.2)10/1000919.681.9(4.016.160
5.13610/1000919.681.965.04.016.160
5.13665.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 30 OF 152
5-1-8 FOR NOZZLE S ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6.919
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 57.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 6.02
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 9.26.265.04.013.125
15.5765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 31 OF 152
mm
CHES
RHPES
PRtt
o
t
o
87.26.203.024.0
6.2)10/1000919.681.9(4.016.160
15.5710/1000919.681.965.04.016.160
15.5765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
5-1-9 FOR NOZZLE Q ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6.919
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 32 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 109.55
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 8.18
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 17.36.265.04.013.125
55.10965.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
1.36.205.045.0
6.2)10/1000919.681.9(4.016.160
55.10910/1000919.681.965.04.016.160
55.10965.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 33 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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 4.284
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 30.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 3.91
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 76.26.265.04.013.125
15.3065.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 34 OF 152
mm
CHES
RHPES
PRtt
o
t
o
738.26.2008.013.0
6.2)10/1000284.481.9(4.016.160
15.3010/1000284.481.965.04.016.160
15.3065.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 6484
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 35 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 30.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 3.91
●Inside radius of shell corroded Rs (mm) : 1402.6
(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
mmCPES
PRtd
o 76.26.265.04.013.125
15.3065.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
75.26.202.013.0
6.2)10/1000484.681.9(4.016.160
15.3010/1000484.681.965.04.016.160
15.3065.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 36 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
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 5364
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 17.5
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.77
●Inside radius of shell corroded Rs (mm) : 1402.6
(1) 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
mmCPES
PRtd
o 69.26.265.04.013.129
5.1765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 37 OF 152
mm
CHES
RHPES
PRtt
o
t
o
676.26.2006.007.0
6.2)10/1000364.581.9(4.013.165
5.1710/1000364.581.965.04.013.165
5.1765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 5378
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 38 OF 152
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 25
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.87
●Inside radius of shell corroded Rs (mm) : 1402.6
(1) 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
mmCPES
PRtd
o 73.26.265.04.013.129
2565.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
708.26.2008.01.0
6.2)10/1000378.581.9(4.013.165
2510/1000378.581.965.04.013.165
2565.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 39 OF 152
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell(nozzle R.O) : SA-106Gr.B
●Allowable stress of shell at design temperature Ss (MPa) : 125.3
●Height to point under consideration H (m) : 6852
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 12.5
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.31
●Inside radius of shell corroded Rs (mm) : 126.4
(1) 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
mmCPES
PRtd
o 67.26.265.04.013.129
5.1265.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
656.26.2006.005.0
6.2)10/1000852.681.9(4.013.165
5.1210/1000852.681.965.04.013.165
5.1265.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(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
mmCPES
PRtss
ss 26.36.2
65.04.013.1254.12665.0
4.0=+
×+××
=++
= < 2.5+2.6 = 5.1 mm
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 OK
5-1-15 FOR ANNECTENT NOZZLE OF TANK AND
TOWER
ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-516MGr.485
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
136
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
174.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 4015
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Type No. (1)
●Radiographic examination : SPOT
Per UW-11(b)
●Joint efficiency (specified in UW-12) E : 0.85
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 41 OF 152
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Outside radius of nozzle neck Ro (mm) : 406.4
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 9.53
●Inside radius of shell corroded Rs (mm) : 1402.6
●Final center line radius of nozzle Rf (mm) : 398.4
●Original center line radius of nozzle R0 (mm) : ∞(Infinity)
(1) 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
mmCPES
PRtd
9.46.23.26.265.06.085.0136
4.40665.06.01min =+=+
×−××
=+−
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRttt
5.46.211.079.1
6.2)10/1000015.481.9(6.085.06.174
4.40610/1000015.481.965.06.085.06.174
4.40665.0
)10/81.9(6.0)10/81.9(
6.0
6
6
6
6
2min
=++=
+×××−×
×××+
×−××
=
+−
+−
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 5.16.22.533.96.273.66.265.06.01136
6.140265.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 42 OF 152
%5%1.2%4.39814.398
1650%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 2.378
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 57.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 6.02
●Inside radius of shell corroded Rs (mm) : 903.5
(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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 43 OF 152
mmCPES
PRtd
o 8.35.365.04.013.125
15.5765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
75.35.301.024.0
5.3)10/1000378.281.9(4.016.160
15.5710/1000378.281.965.04.016.160
15.5765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-2-2 FOR NOZZLE Y2 ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 44 OF 152
temperature Ss (MPa) : 136
●Height to point under consideration H (m) : 1.165
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 44.45
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 5.49
●Inside radius of shell corroded Rs (mm) : 903.5
(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
mmCPES
PRtd
o 74.35.365.04.013.125
45.4465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
684.35.3004.018.0
5.3)10/1000165.181.9(4.016.160
45.4410/1000165.181.965.04.016.160
45.4465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 45 OF 152
(4) Provided thickness
Nominal thickness (mm) 11.13
Minimum thickness (mm) 11.13×0.875 = 9.74 ≥ t OK
5-2-3 FOR NOZZLE J ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 1.445
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 44.45
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 5.49
●Inside radius of shell corroded Rs (mm) : 903.5
(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
mmCPES
PRtd
o 74.35.365.04.013.125
45.4465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 46 OF 152
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
684.35.3004.018.0
5.3)10/1000445.181.9(4.016.160
45.4410/1000445.181.965.04.016.160
45.4465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-2-4 FOR NOZZLE F ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 1.205
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 47 OF 152
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 84.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 7.11
●Inside radius of shell corroded Rs (mm) : 903.5
(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
mmCPES
PRtd
o 94.35.365.04.013.125
15.8465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
857.35.3007.035.0
5.3)10/1000205.181.9(4.016.160
15.8410/1000205.181.965.04.016.160
15.8465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 REV.: 0 PAGE 48 OF 152
5-2-5 FOR MANHOLE NOZZLE A2 ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-516MGr.485
● Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
136
●Allowable stress of nozzle neck material at test temperature St (MPa) 174.6
●Height to point under consideration H (m) : 2166
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE UW-12 Type No. (1)
●Radiographic examination of nozzle neck SPOT Per UW-11(b)
●Joint efficiency of nozzle neck (specified in UW-12) E : 0.85
●Negative Deviation: C1 (mm) : 0.3
●Corrosion allowance (designated by customer) C2 (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 228.5
●Inside radius of nozzle corroded R (mm) : 220
●Inside radius of shell corroded Rs (mm) : 1803.5
●Final center line radius of nozzle Rf (mm) : 222.5
●Original center line radius of nozzle R0 (mm) : ∞(Infinity)
(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
mmCPES
PRtd
05.58.325.15.33.065.06.085.0136
22065.06.01min =+=++
×−××
=+−
=
(b)under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 49 OF 152
mm
CHES
RHPES
PRttt
802.48.3032.097.0
5.33.0)10/1000166.281.9(6.085.06.174
22010/1000166.281.965.06.085.06.174
22065.0
)10/81.9(6.0)10/81.9(
6.0
6
6
6
6
2min
=++=
++×××−××××
+×−×
×=
+−
+−
=ρ
ρ
(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))
mm
CSER
MPSE
PRt
23.48.300002.042.0
5.33.085.0204220
30765.04.085.02042
22065.04.02
2
21
3
≈++=
++×××
+×+××
×=
+++
=
π
π
mmCSER
Mt 81.38.3000034.05.33.085.0204220
87522
24 ≈+=++
×××=+=ππ
(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
%5%70.2%5.22215.222
1250%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 50 OF 152
temperature Sd (MPa) : 129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 1745
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 17.5
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.77
●Inside radius of shell corroded Rs (mm) : 903.5
(1) 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
mmCPES
PRtd
o 59.36.265.04.013.129
5.1765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
572.35.3002.007.0
5.3)10/1000745.181.9(4.013.165
5.1710/1000745.181.965.04.013.165
5.1765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.584.76.234.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-2-7 FOR NOZZLE V1 ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 1752
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 25
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.87
●Inside radius of shell corroded Rs (mm) : 903.5
(1) 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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 52 OF 152
Required minimum thickness including allowance
mmCPES
PRtd
o 63.35.365.04.013.129
2565.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
603.35.3003.01.0
5.3)10/1000752.181.9(4.013.165
2510/1000752.181.965.04.013.165
2565.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.584.76.234.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
●Material of nozzle neck : SA-105M
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
129.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
165.3
●Material of shell : SA-516MGr.485
●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 H (m) : 1740
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 12.5
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 2.31
●Inside radius of shell corroded Rs (mm) : 903.5
(1) 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
mmCPES
PRtd
o 57.35.365.04.013.129
5.1265.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
552.35.3002.005.0
5.3)10/100074.181.9(4.013.165
5.1210/100074.181.965.04.013.165
5.1265.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell (nozzle R.O) for par. UG-45 (b) (1), and UG-16 (b) (4),
Es = 1.00
mm 0.65.32.584.76.234.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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 OK
5-2-9 FOR NOZZLE Y1 ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell (nozzle H) : SA-106Gr.B
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
125.3
●Height to point under consideration H (m) : 1.178
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 57.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 6.02
●Inside radius of shell corroded Rs (mm) : 170.17
(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
mmCPES
PRtd
o 8.35.365.04.013.125
15.5765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 55 OF 152
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
75.35.301.024.0
5.3)10/1000178.181.9(4.016.160
15.5710/1000178.181.965.04.016.160
15.5765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mmCPES
PRtss
ss 39.45.3
65.04.013.12517.17065.0
4.0=+
×+××
=++
= < 2.5 + 3.5 =6.0 mm
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 I ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell (nozzle H) : SA-106Gr.B
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
125.3
●Height to point under consideration H (m) : 1.205
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 56 OF 152
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 84.15
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 7.11
●Inside radius of shell corroded Rs (mm) : 170.17
(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
mmCPES
PRtd
o 94.35.365.04.013.125
15.8465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
86.35.301.035.0
5.3)10/1000205.181.9(4.016.160
15.8410/1000205.181.965.04.016.160
15.8465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mmCPES
PRtss
ss 39.45.3
65.04.013.12517.17065.0
4.0=+
×+××
=++
= <2.5 + 3.5 = 6.0 mm
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 PAGE 57 OF 152
5-2-11 FOR NOZZLE H ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516MGr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 1.298
●Density of test medium at test temperature (water) ρ(kg/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 177.8
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 9.53
●Inside radius of shell corroded Rs (mm) : 903.5
5-2-11-a: for large section (OD. = 355.6 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
mmCPES
PRtd
o 43.45.365.04.013.125
8.17765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 58 OF 152
mm
CHES
RHPES
PRtt
o
t
o
235.45.3015.072.0
5.3)10/1000298.181.9(4.016.160
8.17710/1000298.181.965.04.016.160
8.17765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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):
mmCPES
PDtd
45.45.3)65.06.013.125(7.11cos2
6.35565.0)6.0(cos21min =+
×−×××
=+−
=α
Required minimum thickness including allowance (for the small end):
mmCPES
PDtd
09.45.3)65.06.013.125(7.11cos2
1.21965.0)6.0(cos21min =+
×−×××
=+−
=α
(b) under hydrostatic test condition
Required minimum thickness including allowance (for the large end):
CHESDH
PESPDt
dd
+−
+−
=)]10/81.9(6.0[cos2
)10/81.9()6.0(cos2 6
6
2minρα
ρ
α
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 59 OF 152
5.3)]10/1000298.181.9(6.016.160[7.11cos2
6.35510/1000298.181.9)65.06.016.160(7.11cos2
6.35565.06
6
+×××−×
×××+
×−×××
=)(
= 0.74 + 0.015 + 3.5 = 4.255 mm
Required minimum thickness including allowance (for the small end):
CHESDH
PESPDt
dd
+−
+−
=)]10/81.9(6.0[cos2
)10/81.9()6.0(cos2 6
6
2minρα
ρ
α
5.3)]10/100023.181.9(6.016.160[7.11cos2
1.21910/100023.181.9)65.06.016.160(7.11cos2
1.21965.06
6
+×××−×
×××+
×−×××
=)(
= 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
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
mmCPES
PRtd
o 07.45.365.04.013.125
55.10965.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 60 OF 152
mm
CHES
RHPES
PRtt
o
t
o
959.35.3009.045.0
5.3)10/100023.181.9(4.016.160
55.10910/100023.181.965.04.016.160
55.10965.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 6.05.32.584.75.334.45.365.06.01136
5.90365.06.0
=+=+=+×−×
×=+
−= >mmC
PESPRtss
ss
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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516M Gr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 0.420
●Density of test medium at test temperature (water) ρ(k/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 61 OF 152
UW-12 : Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 406.4
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 7.11
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
(1) 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
mmCPES
PRtd
o 94.35.365.04.013.125
15.8465.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
853.35.3003.035.0
5.3)10/100042.081.9(4.016.160
15.8410/100042.081.965.04.016.160
15.8465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.583.75.333.45.365.02.011362
180765.02.02
=+=+=+×−××
×=+
−= >mmC
PESPDtss
s
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 PAGE 62 OF 152
5-2-13 FOR ANNECTENT NOZZLE OF TANK AND
TOWER
ASME SEC.Ⅷ DIV.1 UG-45
●Design pressure P (MPa) : 0.65
●Design temperature T (℃) : 300
●Material of nozzle neck : SA-516M Gr.485
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
136
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
174.6
●Material of shell : SA-516M Gr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 3.542
●Density of test medium at test temperature (water) ρ(k/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Type No. (1)
●Radiographic examination : SPOT
Per UW-11(b)
●Joint efficiency (specified in UW-12) E : 0.85
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 406.4
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 9.53
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
●Final center line radius of nozzle Rf (mm) : 398.4
●Original center line radius of nozzle R0 (mm) : ∞(Infinity)
(1) 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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 63 OF 152
mmCPES
PRtd
8.55.33.25.365.06.085.0136
4.40665.06.01min =+=+
×−××
=+−
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRttt
39.55.31.079.1
5.3)10/1000542.381.9(6.085.06.174
4.40610/1000542.381.965.06.085.06.174
4.40665.0
)10/81.9(6.0)10/81.9(
6.0
6
6
6
6
2min
=++=
+×××−×
×××+
×−××
=
+−
+−
=ρ
ρ
(2) Minimum required thickness of shell for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.583.75.333.45.365.02.011362
180765.02.02
=+=+=+×−××
×=+
−= >mmC
PESPDtss
s
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
%5%1.2%4.39814.398
1650%150
0
<=⎟⎠⎞
⎜⎝⎛
∞−×
×=⎟⎟
⎠
⎞⎜⎜⎝
⎛−=
RR
Rtr f
f
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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 64 OF 152
temperature Sd (MPa) : 125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of shell : SA-516M Gr.485
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
136
●Height to point under consideration H (m) : 0.321
●Density of test medium at test temperature (water) ρ(k/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 177.8
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 9.53
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
(1) 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
mmCPES
PRtd
o 43.45.365.04.013.125
8.17765.04.01min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
224.45.3004.072.0
5.3)10/1000321.081.9(4.016.160
8.17710/1000321.081.965.04.016.160
8.17765.0
)10/81.9(4.0)10/81.9(
4.0
6
6
6
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(2) Minimum required thickness of head for par. UG-45 (b) (1),and UG-16 (b) (4), Es = 1.00
mm 0.65.32.583.75.333.45.365.02.011362
180765.02.02
=+=+=+×−××
×=+
−= >mmC
PESPDtss
s
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
●Material of nozzle neck : SA-106Gr.B
●Allowable stress of nozzle neck material at design
temperature
Sd (MPa)
:
125.3
● Allowable stress of nozzle neck material at test
temperature
St (MPa)
:
160.6
●Material of blind flange : SA-105M
● Allowable stress of shell (or head) at design
temperature
Ss (MPa)
:
129.3
●Height to point under consideration H (m) : 0.185
●Density of test medium at test temperature (water) ρ(k/m3) : 1000
●Type of welded joints of nozzle neck in TABLE
UW-12
:
Seamless
●Joint efficiency of nozzle neck E : 1.0
●Corrosion allowance (designated by customer) C2 (mm) : 3.5
●Outside radius of nozzle neck Ro (mm) : 44.45
●Nominal thickness of the standard wall pipe(B36.10M) tstd (mm) : 5.49
●Long span of cover measured perpendicular to short
span(corroded)
D (mm) : 535
● Factor C : 0.3
● Diameter, measured as indicated in Fig. UG-34 d ( mm ) : 425.3
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 66 OF 152
● Gasket moment arm,as shown in table 2-5-2 hG (mm) : 25.5
● Effective gasket sealing width b (mm) : 12.1
(1) 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
mmCPES
PRtd
o 74.35.365.04.013.125
45.4465.04.0 21min =+
×+××
=++
=
(b) under hydrostatic test condition
Required minimum thickness including allowance
mm
CHES
RHPES
PRtt
o
t
o
69.35.30006.018.0
5.3)10/1000185.081.9(4.016.160
45.4410/1000185.081.965.04.016.160
45.4465.0
)10/81.9(4.0)10/81.9(
4.0
6
6
26
6
2min
=++=
+×××+××××
+×+×
×=
++
++
=ρ
ρ
(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
23/9.1/ CSEdWhSECPdt Gsa ++=
= 5.33.42513.129/5.252.1185529.10.13.129/65.03.03.425 3 +××××+×××
= 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 = 2
)( abm SAA +
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 =2
)( abm SAA +=
2287)18.68671.413( ×+
= 1044720.18 N
23/9.1/ CSEdWhSECPdt Gsb ++=
= 5.33.42513.165/5.2518.10447209.10.13.165/03.03.425 3 +××××+×××
= 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 REV.: 0 PAGE 69 OF 152
7. 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) * (MPa) : 0.65 at 300 ℃
●Hydrostatic test pressure (MPa) : 1.04
●Design temperature (℃) : 300
●Test temperature (℃) : 5~40
●Minimum design metal temperature (℃) : -29
●Material of parts of the vessel : See table 7.1
●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 Nozzle E Nozzle
A.C.D.F.G.H1-4.I1-2 Flange
Ps MAWP (MPa) 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
ratio of (St/Sd) 1.2839 1.2839 1.2785 1.2839 1.2818 1.2785
The lowest ratio of (St/Sd) 1.2785
PT1(MPa): 1.25×min(St/Sd)×Ps 1.04
PT2(MPa): 1.43×Ps 0.93
PT(MPa): Max(PT1 , PT2) 1.04
PHT(MPa): Min. Req.
Hydrostatic test 1.04
(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 REV.: 0 PAGE 70 OF 152
8. REINFORCEMENT FOR OPENINGS
8-1 DEAERATOR′S TANK:
8-1-1 For manhole A1 (DN500) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●Material of the nozzle wall : SA-516MGr.485
●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 136
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Inside diameter of ellipsoidal head (corroded) D (mm) : 2805.2
●Analysis thickness of the vessel wall corroded t (mm) : 11.32
●Outside radius of the nozzle Rno(mm) : 254
●Inside radius of the nozzle corroded Rn (mm) : 244.6
●Analysis thickness of nozzle wall corroded tn (mm) : 9.6
●Finished diameter of opening corroded d (mm) : 489.2
●Leg length of outward nozzle fillet weld tnc (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
●Material of the reinforcing pad : SA-516MGr.485
●Allowable stress of reinforcing pad at design temperature Sp (MPa) : 136
●Outside diameter of reinforcing pad Dp (mm) : 840
●Nominal thickness of reinforcing pad te (mm) 12
8-1-1-1 Size of opening
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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PDtd
r 71.665.02.00.11362
2.280565.02.02
=×−××
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 22.1
65.04.0113625465.0
4.01
=×+×
×=
+=
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
)0.11(0.171.64.920.171.62.489)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 3282.6 + 0 = 3282.6 mm2
8-1-1-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 9.46232.110.122.14.955 mmtfttA rrnn =××−×=−=
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( ) ( ) 2222 7.5800.1)124.95.2(22.14.92)5.2(2 mmfttttA renrnn =×+××−×=+−=
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.
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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 OK
Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N>W3-3 = 655753.3 N 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 REV.: 0 PAGE 75 OF 152
(℃) ●Design temperature : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 109.55
●Inside radius of the nozzle corroded Rn (mm) : 99.45
●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) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 57.0
65.04.013.12555.10965.0
4.01
=×+×
×=
+=
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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
)9213.01(0.173.61.1020.173.69.198)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1338.6 + 10.7 = 1349.3 mm2
8-1-2-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
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= 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
( )( ) ( )( )122 rrnrn fFttEtFttEttA 11112 −−−−+=
=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
( ) ( ) 2221 3.5884.139213.057.01.1055 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.4431.109213.057.01.1055 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-2-5(e) 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 and reboiling nozzle M (DN80) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 78 OF 152
●Outside radius of the nozzle Rno(mm) : 44.45
●Inside radius of the nozzle corroded 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
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 24.0
65.04.013.12545.4465.0
4.01
=×+×
×=
+=
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)
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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)
check t1 + t2 ≥ 411 tmin = 13.9125 mm
t1 + t2 = 8.4 + 8.4 = 16.8 >411 tmin = 13.9125 mm
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
)9213.01(0.173.653.820.173.684.71)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 483.5 + 9.1 = 492.6 mm2
8-1-3-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
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=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
( ) ( ) 2221 7.5114.139213.024.053.855 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 7.32553.89213.024.053.855 mmtfttA nrrnn =××−×=−=
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 2
231 5.5269213.053.84.1355 mmfttA rj =×××==
2232 1.3359213.053.853.855 mmfttA rjj =×××==
2233 9.8379213.053.8325.2155 mmfhtA rj =×××==
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)
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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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
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●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 84.15
●Inside radius of the nozzle corroded Rn (mm) : 75.78
●Analysis thickness of nozzle wall corroded tn (mm) : 8.37
●Finished diameter of opening corroded d (mm) : 151.56
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 44.0
65.04.013.12515.8465.0
4.01
=×+×
×=
+=
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
)9213.01(0.173.637.820.173.656.151)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1020 + 8.9 = 1028.9 mm2
8-1-4-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 5.4894.139213.044.037.855 mmtfttA rrnn =××−×=−=
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( ) ( ) 2222 7.30537.89213.044.037.855 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-4-5(e) 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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 109.55
●Inside radius of the nozzle corroded Rn (mm) : 99.45
●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 REV.: 0 PAGE 85 OF 152
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 57.0
65.04.013.12555.10965.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 15.875 mm
t1 + t2 = 8.4 + 8.4 = 16.8 >411 tmin = 15.875 mm
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
)9213.01(0.173.61.1020.173.69.198)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1338.6 + 10.7 = 1349.3 mm2
8-1-5-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 3.5884.139213.057.01.1055 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.4431.109213.057.01.1055 mmtfttA nrrnn =××−×=−=
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 2
231 4.6239213.01.104.1355 mmfttA rj =×××==
2232 9.4699213.01.101.1055 mmfttA rjj =×××==
2233 8.11749213.01.1025.2555 mmfhtA rj =×××==
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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 57.15
●Inside radius of the nozzle corroded Rn (mm) : 48.62
●Analysis thickness of nozzle wall corroded tn (mm) : 8.53
●Finished diameter of opening corroded d (mm) : 97.24
●Leg length of outward nozzle fillet weld Weld leg (mm) : 12.0
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 89 OF 152
●Leg length of inward nozzle fillet weld Weld leg (mm) : 12.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 3.0
65.04.013.12515.5765.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 13.9125 mm
t1 + t2 = 8.4 + 8.4 = 16.8 >411 tmin = 13.9125 mm
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
)9213.01(0.173.653.820.173.624.97)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 654.5 + 9.1 = 663.6 mm2
8-1-6-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 5084.139213.03.053.855 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.32353.89213.03.053.855 mmtfttA nrrnn =××−×=−=
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 2
231 5.5269213.053.84.1355 mmfttA rj =×××==
2232 1.3359213.053.853.855 mmfttA rjj =×××==
2233 9.8379213.053.8325.2155 mmfhtA rj =×××==
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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 57.15
●Inside radius of the nozzle corroded Rn (mm) : 48.62
●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 REV.: 0 PAGE 93 OF 152
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 3.0
65.04.013.12515.5765.0
4.01
=×+×
×=
+=
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
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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
)9213.01(0.173.653.820.173.624.97)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 654.5 + 9.1 = 663.6 mm2
8-1-7-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 5084.139213.03.053.855 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.32353.89213.03.053.855 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-7-5(e) 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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 136.5
●Inside radius of the nozzle corroded Rn (mm) : 126.4
●Analysis thickness of nozzle wall corroded tn (mm) : 10.1
●Finished diameter of opening corroded d (mm) : 252.8
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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 REV.: 0 PAGE 96 OF 152
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 71.0
65.04.013.1255.13665.0
4.01
=×+×
×=
+=
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]
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8-1-8-5(a) Area of reinforcement required
)9213.01(0.173.61.1020.173.68.252)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1701.4 + 10.7 = 1712.1 mm2
8-1-8-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=
=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
( ) ( ) 2221 6.5794.139213.071.01.1055 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 8.4361.109213.071.01.1055 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-1-8-5(e) 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. [UG-36 (c) (3)]
8-1-10 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 REV.: 0 PAGE 98 OF 152
8-1-11 For sampling water nozzle P1-2 (DN10) 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. [UG-36 (c) (3)]
8-1-12 For water level nozzle T1-2.U1-4.X1-2.Z1-2 (DN50) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 30.15
●Inside radius of the nozzle corroded Rn (mm) : 24.01
●Analysis thickness of nozzle wall corroded tn (mm) : 6.14
●Finished diameter of opening corroded d (mm) : 48.02
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 90
●Correction factor F : 0.5
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 16.0
65.04.013.12515.300.1
4.01
=×+×
×=
+=
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(Rm
RnL +) = cos-1(
965.140501.241100 +
) = 36.9 deg
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 100 OF 152
α2= cos-1(Rm
RnL −) = cos-1(
965.140501.241100 −
) = 40.1 deg
α=α2-α1=40.1-36.9= 3.2 deg
d = 2Rm )2/(cos1 2а− =2×1405.965× )2/2.3(cos1 2− =78.52 mm
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
)9213.01(5.073.614.625.073.652.78)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 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
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=
=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(tR
RnL+−
) = cos-1(4.136.1402
01.241100+
−) = 40.5 deg
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.
( ) ( ) 23221 3.5685.40sin/4.139213.016.014.65)sin(/5 mmtfttA rrnn =××−×=−= α
( ) ( ) 23222 4.2605.40sin/9213.014.616.014.65)sin(/5 mmftttA rnrnn =××−×=−= α
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
)1(2 1rrnr fFttFdtA −+= = 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
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
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8-1-12-7 (c) Area available in nozzle A2
( ) ( ) 2221 1.3694.139213.016.014.655 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 1.16914.69213.016.014.655 mmtfttA nrrnn =××−×=−=
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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●Material of the nozzle wall : SA-516MGr.485
●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 136
●Corrosion allowance (designated by customer) C (mm) : 2.6
●Inside radius of shell corroded R (mm) : 1402.6
●Analysis thickness of the vessel wall corroded t (mm) : 13.4
●Outside radius of the nozzle Rno(mm) : 406.4
●Inside radius of the nozzle corroded Rn (mm) : 393
●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 REV.: 0 PAGE 103 OF 152
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 73.665.06.01136
6.140265.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 88.1
65.04.0113639365.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 20.0 mm
t1 + t2 = 11.2 + 11.2 = 22.4 >411 tmin = 20.0 mm
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
)0.11(0.173.64.1320.173.6786)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 5289.78 + 0 = 5289.78 mm2
8-1-13-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 84.7714.130.188.14.1355 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 84.7714.130.188.14.1355 mmtfttA nrrnn =××−×=−=
A2= the smaller of (A21, A22) = 771.84 mm2
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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 2
231 8.8970.14.134.1355 mmfttA rj =×××==
2232 8.8970.14.134.1355 mmfttA rjj =×××==
2233 8.22370.14.135.3355 mmfhtA rj =×××==
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
A43= (leg)^2 × fr2 = 16.0 × 16.0 × 1.0 = 196 Sq. mm 8-1-13-5(f) 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
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= 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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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
●Inside radius of shell corroded R (mm) : 903.5
●Analysis thickness of the vessel wall corroded t (mm) : 8.5
●Outside radius of the nozzle Rno(mm) : 57.15
●Inside radius of the nozzle corroded Rn (mm) : 49.52
●Analysis thickness of nozzle wall corroded tn (mm) : 7.63
●Finished diameter of opening corroded d (mm) : 99.04
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●Leg length of outward nozzle fillet weld Weld leg (mm) : 10.0
●Leg length of inward nozzle fillet weld Weld leg (mm) : 10.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 34.465.06.01136
5.90365.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 3.0
65.04.013.12515.5765.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 13.9 mm
t1 + t2 = 7.0 + 7.0 = 14.0 >411 tmin = 13.9 mm
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
)9213.01(0.134.463.720.134.404.99)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 429.9 + 5.3 = 435.2 mm2
8-2-1-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 2875.89213.03.063.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 6.25763.79213.03.063.755 mmtfttA nrrnn =××−×=−=
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 2
231 7.2989213.063.75.855 mmfttA rj =×××==
2232 1.2689213.063.763.755 mmfttA rjj =×××==
2233 4.6709213.063.7075.1955 mmfhtA rj =×××==
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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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
●Inside radius of shell corroded R (mm) : 903.5
●Analysis thickness of the vessel wall corroded t (mm) : 8.5
●Outside radius of the nozzle Rno(mm) : 44.45
●Inside radius of the nozzle corroded Rn (mm) : 36.82
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 111 OF 152
●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) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 34.465.06.01136
5.90365.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 24.0
65.04.013.12545.4465.0
4.01
=×+×
×=
+=
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
)9213.01(0.134.463.720.134.464.73)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 319.6 + 5.3 = 324.9 mm2
8-2-2-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 3.2895.89213.024.063.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 7.25963.79213.024.063.755 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-2-2-5(e) 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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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
●Inside radius of shell corroded R (mm) : 903.5
●Analysis thickness of the vessel wall corroded t (mm) : 8.5
●Outside radius of the nozzle Rno(mm) : 84.15
●Inside radius of the nozzle corroded Rn (mm) : 76.68
●Analysis thickness of nozzle wall corroded tn (mm) : 7.47
●Finished diameter of opening corroded d (mm) : 153.36
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 34.465.06.01136
5.90365.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 44.0
65.04.013.12515.8465.0
4.01
=×+×
×=
+=
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 REV.: 0 PAGE 115 OF 152
smaller of 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
)9213.01(0.134.447.720.134.436.153)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 665.6 + 5.2 = 670.8 mm2
8-2-3-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 2.2755.89213.044.047.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 9.24147.79213.044.047.755 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-2-3-5(e) 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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 116 OF 152
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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
●Inside radius of shell corroded R (mm) : 903.5
●Analysis thickness of the vessel wall corroded t (mm) : 8.5
●Outside radius of the nozzle Rno(mm) : 177.8
●Inside radius of the nozzle corroded Rn (mm) : 170.17
●Analysis thickness of nozzle wall corroded tn (mm) : 7.63
●Finished diameter of opening corroded d (mm) : 340.34
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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)
mmPES
PRtV
r 34.465.06.01136
5.90365.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 93.0
65.04.013.1258.17765.0
4.01
=×+×
×=
+=
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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
)9213.01(0.134.463.720.134.434.340)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1477.1 + 5.3 = 1482.4 mm2
8-2-4-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
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= 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
( )( ) ( )( )122 rrnrn fFttEtFttEttA 11112 −−−−+=
=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
( ) ( ) 2221 3.2625.89213.093.063.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.23563.79213.093.063.755 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 0.9213 = 74.6 Sq. mm 8-2-4-5(e) 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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●Material of the nozzle wall : SA-516MGr.485
●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 136
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Inside radius of shell corroded R (mm) : 903.5
●Analysis thickness of the vessel wall corroded t (mm) : 8.5
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 119 OF 152
●Outside radius of the nozzle Rno(mm) : 228.5
●Inside radius of the nozzle corroded Rn (mm) : 220
●Analysis thickness of nozzle wall corroded tn (mm) : 8.5
●Finished diameter of opening corroded d (mm) : 440
●Leg length of outward nozzle fillet weld Weld leg (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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
Shell Required thickness of a seamless shell tr (E=1.0)
mmPES
PRtV
r 34.465.06.01136
5.90365.06.0
=×−×
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 1.1
65.04.011365.22865.0
4.01
=×+×
×=
+=
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
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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
)0.11(0.134.45.820.134.4440)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1909.6 mm2
8-2-5-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
=440×(1×8.5-1×4.34)-2×8.5 ×(1×8.5-1.0×4.34)×(1-1.0)
= 1830.4 mm2
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 5.3145.80.11.15.855 mmtfttA rrnn =××−×=−=
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( ) ( ) 2222 5.3145.80.11.15.855 mmtfttA nrrnn =××−×=−=
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
A41= (leg)^2 × fr2 = 9.0 × 9.0 × 1.0 = 81.0 Sq. mm 8-2-5-5(e) 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 (DN350) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●Material of the nozzle wall : SA-106 Gr.B
●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 125.3
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 122 OF 152
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
●Analysis thickness of the vessel wall corroded t (mm) : 6.94
●Outside radius of the nozzle Rno(mm) : 177.8
●Inside radius of the nozzle corroded Rn (mm) : 170.17
●Analysis thickness of nozzle wall corroded tn (mm) : 7.63
●Finished diameter of opening corroded d (mm) : 340.34
●Leg length of outward nozzle fillet weld Weld leg (mm) : 10.0
●Leg length of inward nozzle fillet weld Weld leg (mm) : 10.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PDtd
r 33.465.02.00.11362
180765.02.02
=×−××
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 93.0
65.04.013.1258.17765.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 13.05 mm
t1 + t2 = 7.0 + 7.0 = 14.0 >411 tmin = 13.05 mm
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
)9213.01(0.133.463.720.133.434.340)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 1473.7 + 5.3 = 1479 mm2
8-2-9-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
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
( )( ) ( )( )122 rrnrn fFttEtFttEttA 11112 −−−−+=
=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
( ) ( ) 2221 2.21494.69213.093.063.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 5.23563.79213.093.063.755 mmtfttA nrrnn =××−×=−=
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 2
231 9.2439213.063.794.655 mmfttA rj =×××==
2232 1.2689213.063.763.755 mmfttA rjj =×××==
2233 8.6099213.063.735.1755 mmfhtA rj =×××==
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) per UG-37
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●Material of the nozzle wall : SA-516MGr.485
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 126 OF 152
●Allowable stress of the nozzle wall at design temperature Sn (MPa) : 136
●Corrosion allowance (designated by customer) C (mm) : 3.5
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
●Analysis thickness of the vessel wall corroded t (mm) : 6.94
●Outside radius of the nozzle Rno(mm) : 406.4
●Inside radius of the nozzle corroded Rn (mm) : 393.9
●Analysis thickness of nozzle wall corroded tn (mm) : 12.5
●Finished diameter of opening corroded d (mm) : 787.8
●Leg length of outward nozzle fillet weld tnc (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
●Material of the reinforcing pad : SA-516MGr.485
●Allowable stress of reinforcing pad at design temperature Sp (MPa) : 136
●Outside diameter of reinforcing pad Dp (mm) : 1200
●Nominal thickness of reinforcing pad 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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PDtd
r 33.465.02.00.11362
180765.02.02
=×−××
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 127 OF 152
mmPES
PRtn
norn 94.1
65.04.011364.40665.0
4.01
=×+×
×=
+=
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:
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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
)0.11(0.133.45.1220.133.48.787)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 3411.2 + 0 = 3411.2 mm2
8-2-10-5(b) Area available in shell A1
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )11112 122 rrnrn fFttEtFttEttA −−−−+=
=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
( ) ( ) 2221 4.36694.60.194.15.1255 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 4.9130.1)125.125.2(94.15.122)5.2(2 mmfttttA renrnn =×+××−×=+−=
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 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 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 OK
Path 3-3 = 790963.5 + 722397.9 = 1513361.4 N>W3-3 = 655753.3 N 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 pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall : SA-516MGr.485
●Allowable stress of the vessel wall at design temperature SV (MPa) : 136
●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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 131 OF 152
●Inside diameter of ellipsoidal head (corroded) D (mm) : 1807
●Analysis thickness of the vessel wall corroded t (mm) : 6.94
●Outside radius of the nozzle Rno(mm) : 84.15
●Inside radius of the nozzle corroded Rn (mm) : 76.68
●Analysis thickness of nozzle wall corroded tn (mm) : 7.47
●Finished diameter of opening corroded d (mm) : 153.36
●Leg length of outward nozzle fillet weld tnc (mm) : 9.0
●Angle of plane with longitudinal axis θ (deg) : 90
●Correction factor F : 0.5
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 Required thickness of a seamless shell tr (E=1.0)
mmPES
PDtd
r 33.465.02.00.11362
180765.02.02
=×−××
×=
−=
Nozzle Minimum nozzle thickness due to pressure trn (E1=1.0)
mmPES
PRtn
norn 44.0
65.04.013.12515.8465.0
4.01
=×+×
×=
+=
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
α1= cos-1(Rm
RnL +) = cos-1(
665.90568.76500 +
) = 50.5 deg
α2= cos-1(Rm
RnL −) = cos-1(
665.90568.76500 −
) = 62.1 deg
α=α2-α1= 62.1- 50.5 = 11.6 deg
d = 2Rm )2/(cos1 2 α− =2×905.665× )2/6.11(cos1 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
)9213.01(5.033.447.725.033.41.183)1(2 1 −××××+××=−+= rrnr fFttFdtA
= 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
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=
=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(tR
RnL+−
) = cos-1(94.65.90368.76500
+−
) = 62.3 deg
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.
( ) ( ) 23221 8.2533.62sin/94.69213.044.047.75)sin(/5 mmtfttA rrnn =××−×=−= α
( ) ( ) 23222 2.2733.62sin/9213.047.744.047.75)sin(/5 mmftttA rnrnn =××−×=−= α
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
)1(2 1rrnr fFttFdtA −+= = 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
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=
=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
( ) ( ) 2221 7.22494.69213.044.047.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 9.24147.79213.044.047.755 mmtfttA nrrnn =××−×=−=
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) per UG-39
●Internal design pressure P (MPa) : 0.65
●Design temperature (℃) : 300
●Material of the vessel wall (cover) : SA-105M
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 135 OF 152
● Allowable stress of the vessel wall (cover) at design
temperature
SV (MPa) : 129.3
●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
● Diameter, measured as indicated in Fig. UG-34 dG ( mm ) : 425.3
●Analysis thickness of the vessel wall corroded t (mm) : 31.9
●Outside radius of the nozzle Rno(mm) : 44.45
●Inside radius of the nozzle corroded Rn (mm) : 36.82
●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
●Angle of plane with longitudinal axis θ (deg) : 0.0
●Correction factor F : 1.0
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)
mmPES
PRtn
norn 24.0
65.04.013.12545.4465.0
4.01
=×+×
×=
+=
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)
check t1 + t2 ≥ 411 tmin = 13.9125 mm
t1 + t2 = 7.0 + 7.0 = 14.0 >411 tmin = 13.9125 mm
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
)9691.01(63.79.269.2635.765.0)1(5.0 1 −××+××=−+= rrnr fttdtA
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
[ ] [ ]( )11111 12 rrnr fFttEtFttEdA −−−−=
= 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
( )( ) ( )( )122 fFttEtFttEttA 11112 rrnrn −−−−+=
=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
( ) ( ) 2221 3.11429.319691.024.063.755 mmtfttA rrnn =××−×=−=
( ) ( ) 2222 2.27363.79691.024.063.755 mmtfttA nrrnn =××−×=−=
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 2
231 4.11799691.063.79.3155 mmfttA rj =×××==
2232 1.2829691.063.763.755 mmfttA rjj =×××==
2233 2.7059691.063.7075.1955 mmfhtA rj =×××==
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
A43= (leg)^2 × fr2 = 10.0 × 10.0 × 0.9691 = 96.9 Sq. mm 8-2-12-5(f) 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 OF 152
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.
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 140 OF 152
10 CALCULATION OF LIFTING LUGS OF TOWER ( Appendix A of HG/T21574-2008)
Equipment empty mass: m= 4420 kg
Lifting plate of material: 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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 141 OF 152
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= MPaSS tabt 5.400.84)4.238.13(4)( 2222 =×++=+′+ τ
Lifting plate weld allowable stress [τ]=0.7×SA= 95.2 MPa
Sab<[τ] ,It is safe.
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 142 OF 152
11. check for strength and stability of the horizontal vessel with supplemental loading
(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
δ
(3) Mass of Attachments (including platform) m3= 8000 ㎏
(4) Volume of Head Vh= 2.87351e+09 mm3
(5) Volume of Vessel V = 6.28888e+10 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
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 143 OF 152
(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 FII
o=F′+ FII = 407082.63 N
FIo′=F″+ FI″ = 466328.68 N FII
o′=F″+ FII″ = 466328.68 N
FI=(b/l)W′= 55652.13 N FII=(a/l)W′= 55652.13 N
Maximum Shearing Force at Support
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 144 OF 152
)32(
34
2 AhhL
FF i
i
A ++
−= °Ⅰν = )1140700
32(
700349280
5.351430263.407082 +××+
×−
= 296515.1 N
)32(
34
2 AhhL
FF i
i
A ++
−= °Ⅱν = )1140700
32(
700349280
5.351430263.407082 +××+
×−
= 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
)]1(223
24
[222
laalAAhhRqM i
iaKq −+−−
−=
)]700035001(
270003500
211401140700
32
47001408[832.68
222
−×
+−××−−
×=
]6125000649800532000373116[832.68 +−−×=
=3.65933×108 N.mm
Under Hydrostatic Testing Condition:
)]1(223
24
[222
laalAAhhRqM i
iaKq −+−−
−= ′′
)]700035001(
270003500
211401140700
32
47001408[8116.79
222
−×
+−××−−
×=
]6125000649800532000373116[8116.79 +−−×=
=4.24304×108 N.mm
At Support
Under Operating Condition
]
341
21
1[
22
2
Lh
ALhR
LA
AFMi
ia
+
−+−
−−= ′
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 145 OF 152
= ]
9280370041
9280114027001408
928011401
1[11405.351430
22
××
+
××−
+−−××−
= -400630770×(1-100575.01
0705377.0122845.01+
+−)=-5.565214×107 N.mm
Under Hydrostatic Testing condition
]
341
21
1[
22
2
Lh
ALhR
LA
AFMi
ia
T
+
−+−
−−= ″′
= ]
9280370041
9280114027001408
928011401
1[11403.407488
22
××
+
××−
+−−××−
= -464536662×(1-100575.01
0705377.0122845.01+
+−)=-6.452939×107 N.mm
(4) Bending Moment due to Concentrated Load
(4)-1 due to Radial Force at Point K
Under Operating Condition:
8'' 1046926.126.1113049280
35003500×=×
×== W
LabM k N
Under Hydrostatic Testing Condition
810553437.176.1176809280
35003500×=×
×== ″″ W
LabM k N
(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, Di = 2800 mm arcsinβ= 0.290285714, β= 16.875
K10=0.785 K11=0.89
under Operating Condition
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 146 OF 152
ea
k
e
ack RK
MRpδπδ
σ 210
1 2−= =
4.131408785.01012859.5
4.132140865.0
2
8
××××
−××
π
= 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
ea
kTkT RK
Mδπ
σ 210
1 −= =4.131408785.0
10796477.52
8
××××
−π
= -8.85 MPa
At Acting Point K of Concectrated Load under Operating Condition
ea
k
e
ack RK
MRpδπδ
σ 211
2 2+= =
4.13140889.01012859.5
4.132140865.0
2
8
××××
−××
π
= 34.15 + 6.91 = 41.06 MPa
At Acting Point K of Concectrated Load underHydrostatic Testing Condition(Vessel under
Outside Pressure)
ea
kT
e
aTkT RK
MRpδπδ
σ 211
2 2+= =
4.13140889.010796477.5
4.132140804.1
2
8
××××
−××
π
= 54.64 + 7.81 = 62.45 MPa
(5)-2 At Mid-Point C of Cylindrical Shell under Operating Condition:
x1 = Ahq
Fi −−
320
Ⅰ = 114070032
832.6863.407082
−×− = 4307.48
if x1> a =3500 then x2 = Ahq
Fi −−
320
Ⅱ = 114070032
832.6863.407082
−×− = 4307.48
if x2> b =3500 then Mm =0
x1T = Ahq
Fi −−
′′
320
Ⅰ = 114070032
8116.7968.466328
−×−
= 4236.2
X2T = Ahq
Fi −−
′′
320
Ⅱ = 114070032
8116.7968.466328
−×−
= 4236.2
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
ea
m
e
ac
RMRp
δπδσ 21 2
−= = 0
At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal
Pressure)
After water filling, if PT = 0
ea
mTT R
Mδπ
σ 21 −= = 0
At Mid-Point C of Cylindrical Shell under Operating Condition
ea
m
e
ac
RMRp
δπδσ 22 2
+= = 0
At Mid-Point C of Cylindrical Shell under Hydrostatic Testing Condition(Vessel under Internal
Pressure)
ea
mT
e
aTT R
MRpδπδ
σ 22 2+= = 0
(5)-4 Calculation Factors
A = 1140, Ra/2 = 704, θ = 120, K1= 1 K2 = 1
At Top Point of Central Section of Support
(a) under Operating Condition
eae
ac
RKMRp
δπδσ 2
1
23 2
−= = 4.1314081
10565214.54.132
140865.02
7
××××−
−××
π
= 34.15 + 0.67 = 34.82 MPa
(b) undet Hydrostatic Testing Conditiong
PT = 0
ea
TT RK
Mδπ
σ 21
23 −= =
4.131408110452939.6
2
7
××××−
−π
= 0.78 MPa
PT ≠ 0
ea
T
e
aTT RK
MRpδπδ
σ 21
23 2
−= = 4.1314081
10452939.64.132
140804.12
7
××××−
−××
π
= 54.64 + 0.78 = 55.42 MPa
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 148 OF 152
At Bottom Point of Central Section of Support
(a) under Operating Condition
eae
ac
RKMRp
δπδσ 2
2
24 2
+= = 4.1314081
10565214.54.132
140865.02
7
××××−
+××
π
= 34.15 - 0.67 = 33.48 MPa
(b) undet Hydrostatic Testing Conditiong
PT = 0
ea
TT RK
Mδπ
σ 22
24 = =
4.131408110452939.6
2
7
××××−
π= -0.78 MPa
PT ≠ 0
ea
T
e
aTT RK
MRpδπδ
σ 22
24 2
+= = 4.1314081
10452939.64.132
140804.12
7
××××−
+××
π
= 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 = tRO /
125.0=
16/1416125.0
= 0.001412
E = 185×103 MPa
ET = 202×103 MPa
Under Operating Condition: B = 75 MPa (from Fig. CS-2)
Under Hydrostatic Testing Condition: B = 98 MPa (from Fig. CS-2)
Allowable Compresive Sress
[σ] t = min(σac t, B) = 75 MPa
[σ] = min(0.9Rac el, B) = min(0.9×204, 75) = 75 MPa
(b) Stress Checking
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
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
=⎟⎟⎠
⎞⎜⎜⎝
⎛+−
=3/4
2
iea
3
hLAL
RFKδ
τ MPa41.53/70049280
1140292804.131408
68.466328319.0=⎟
⎠⎞
⎜⎝⎛
×+×−
××
(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
b2 = b+1.56 neaR δ = 378 +1.56 161408× = 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 mm4
Allowable Stress at Design Temperature [σ ]t = 136 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= -0
74
0
8
IeFRKC
AFK a+
= 71001192.55682.66140868.466328053.01
01.984168.466328341.0
×××××−
+×
−
= -16.17 - 46.25 = -62.42 MPa
Circumferential Stress of Inner or Outer Surface of Stiffening Ring at Side Corner of Saddle Support:
σ8= -0
75
0
8
IdFRKC
AFK a+
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 150 OF 152
= 71001192.5532.112140868.466328053.01
01.984168.466328341.0
×××××
+×
−
= -16.17 +78.14 = 61.97 MPa
Stress Identification
|σ7| < 170 MPa O.K [ ]125. σ t =
|σ8| < 170 MPa O.K [ ]125. σ t =R
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= rers
s
bbHF
δ+0
= 12146.61218250
1.95131×+×
= 8.031 MPa
(c) stress identification
Stress Identification
σ9 < 32
[σ]sa = 32×81 = 54 MPa O.K
(2) compressive stress and strength identification
(a) compressive stress
FEV = α1mg = 0.24×71647.4×9.81 = 168686.7 N
Combined Sectional Area of Web and Small End of Rib Asa = 58872 mm2
Section Modulus of Combined Section of Web and Small End of Rib Zr = 1.88936×106 mm
3
σsa = -)2(2 ALA
HFZ
HFAF
sa
VEV
r
EV
sa −−−
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 151 OF 152
= )114029280(58872
16667.16868618893602
2507.16868658872702861
×−×
−×
×−−
= -11.94 –11.17- 0.69 = -23.8 MPa
|σsa| = 23.8 < Koσsa = 1.2 × 81 = 97.2 MPa OK
(b) stress due to thermal difference
σtsa = -
rsa ZFfH
AF
− = -1889360
2504.070286158872702861 ××
−
= -11.94 –37.21 = -49.15 MPa
|σtsa| = 49.15 <σsa = 81 MPa OK
DOC. NO.: 2011-83-1-86811-342-0 REV.: 0 PAGE 152 OF 152
12 Check for post-weld heat treatment
Material for shell and head is SA-516MGr.485
P-No. = 1 GR-No. =2
According to table UCS-56 (note 2) and UW-2(not lethal), the thickness of shell and heads (= 10
mm.) is less than 32mm. So no post weld heat treatment is needed.
13. Material characteristics requirement (according to PED/97/23/EC annex Ⅰ7.5)
Unless other values are required in accordance with other criteria that must be taken into account, a steel carried out by a standard procedure, its elongation after rupture is no less than 14% and its bending rupture energy measured on an ISO V test-piece is no less than 27J, at a temperature not greater than 20℃ ,but not higher than the lowest scheduled operating temperature.