2
*** TABLE OF CONTENTS ***
N O.
SUBJECT
PAGE
1
Cover Sheet
1
2
This Index
2
3
Design Data
3
4
Setting Summary
4
∼
5
5
Pressure Summary
6
∼
8
6
Nozzle Summary
9
∼
10
7
Nozzle Schedule
11
∼
12
8
Thickness Summary
13
9
Weight Summary
14
10
Pneumatic test Calculation
15
∼
18
11
Wind Code
19
∼
23
12
Seismic Code
24
∼
26
13
Shell & Head Calculation by Internal & External Pressure
27
∼
48
14
Stiffener Rings Calculation
49
∼
58
15
Skirt Calculation
59
∼
62
16
Base Ring Calculation
63
∼
65
17
Flange & Nozzle Calculation
66
∼
164
18
Lifting Lugs & Tailing Lug & Bracing Caclulation
165
∼
186
19
Vertical Loads
187
∼
189
20
Liquid Level
21
Flange & Nozzle Calculation for 50, 51 Nozzles
22
Loads in Nozzle of Conical Section (BS 5500 App. "B")
23
Steam Trace Calculation
190
191
∼
196
197
198
∼
199
3
DESIGN DATA
ITEM NO. :
FA202
SERVICE :
VACUUM CONCENTRATOR
CODE
ASME SEC. VIII DIV.1 2010 EDITION + '11a ADDENDA
CODE STAMP
NO
0.0
CORROSION ALLOWANCE
JOINT EFFICIENCY
(SHELL/HEAD/CONE)
100/100/85 (see note 5)
%
NO
POST WELD HEAT TREATMENT
RADIOGRAPHY
mm
(SHELL/HEAD/CONE)
FULL/FULL/FULL
2.08
PNEUMATIC TEST PRESSURE
[kg/cm2 g] (see NOTE 6)
---
[kg/cm2 g]
M.A.W.P. (CORR. & HOT)
4.80
[kg/cm2 g]
M.A.P. (NEW & COLD)
5.39
[kg/cm2 g]
HYDROSTATIC TEST PRESSURE
DESIGN TEMPERATURE
(INT./EXT.)
MIN. DESIGN METAL TEMPERATURE
170/170
[˚C]
0
[˚C]
DESIGN INTERNAL PRESSURE
1.75
[kg/cm2 g]
DESIGN EXTERNAL PRESSURE
1.033
[kg/cm2 g]
132
OPERATING TEMPERATURE
OPERATING PRESSURE
PRESSURE DROP
[˚C]
250.0
[mmHg A]
---
[kg/cm2 g]
UREA SOLUTION
CONTENTS
SP. & GR.
1.190
SHELL INSIDE DIAMETER
8500
mm
LENGTH BETWEEN T.L TO T.L
8700
mm
TYPE OF HEADS
(TOP/BOTTOM)
2:1 ELLIP. HEAD/TORI-CONICAL
WIND LOAD
ASCE 7-10, 45 m/s, "C"
SEISMIC FACTOR
UBC-97, ZONE 2B, Na,Nb=1.0, I=1.25, "SD"
INSULATION THICKNESS
80
mm
FIRE PROOFING THICKNESS
NO
mm
691.0
m3
VOLUME
HEAD S.R AFTER COLD FORMING
NO
SPECIAL SERVICE
NO
NOTES
1. THE THERMAL OR MECHANICAL SHOCK LOADINGS : NO
2. CYCLIC LOADING :
NO
3. CYCLIC & DYNAMIC REACTION DUE TO PRESSURE OR THERMAL VARIATIONS,
OR FROM EQUIPMENT MOUNTED ON A VESSEL, & MECHANICAL LOADING : NO
4. IMPACT REACTIONS DUE TO FLUID SHOCK : NO
5. FULL R.T (THE HALF APEX ANGLE IS GREATER THAN 30 deg.. THIS RESULTS IN UW-3 CATRGORY B WELD JOINT BEING
UW-12 type 8. A USER DEFINED JOINT EFF. SHOULD BE USED. RADIOGRAPHIC TESTING MAY NOT BE POSSIBLE.)
6. Pneumatic Tset Pressure = 1.1 * D.P * Stress Ratrio = 1.1 * 1.75 * 1.0781 = 2.08 kg/cm2 g
4
Settings Summary
COMPRESS 2014 Build 7400
Units: MKS
Datum Line Location: 6,003.00 mm from bottom seam
Design
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Design or Rating:
Get Thickness from Pressure
Minimum thickness:
1.5 mm per UG-16(b)
Design for cold shut down only:
No
Design for lethal service (full radiography required):
No
User has limited MAWP to:
4.8 kg/cm2
Design nozzles for:
Larger of MAWP or MAP
Corrosion weight loss:
100% of theoretical loss
UG-23 Stress Increase:
1.20
Skirt/legs stress increase:
1.0
Minimum nozzle projection:
150 mm
Juncture calculations for a > 30 only:
Yes
Preheat P-No 1 Materials > 1.25" and <= 1.50" thick:
No
UG-37(a) shell tr calculation considers longitudinal stress: No
Butt welds are tapered per Figure UCS-66.3(a).
Hydro/Pneumatic Test
Shop Hydrotest at user defined pressure
Test liquid specific gravity:
0.00
(Pneumatic Tset Pressure = 1.1 * D.P * Stress Ratrio
= 1.1 * 1.75 * 1.0781 = 2.08 kg/cm2 g)
Maximum stress during test: 90% of yield
Required Marking - UG-116
UG-116(e) Radiography:
RT1
UG-116(f) Postweld heat treatment: None
Code Cases\Interpretations
Use Code Case 2547:
No
Use Code Case 2695:
No
Apply interpretation VIII-1-83-66: Yes
Apply interpretation VIII-1-86-175: Yes
Apply interpretation VIII-1-01-37: Yes
No UCS-66.1 MDMT reduction:
No
No UCS-68(c) MDMT reduction:
No
Disallow UG-20(f) exemptions:
No
UG-22 Loadings
UG-22(a) Internal or External Design Pressure :
Yes
UG-22(b) Weight of the vessel and normal contents under operating or test conditions:
Yes
5
UG-22(c) Superimposed static reactions from weight of attached equipment (external loads): Yes
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs:
Yes
UG-22(f) Wind reactions:
Yes
UG-22(f) Seismic reactions:
Yes
UG-22(j) Test pressure and coincident static head acting during the test:
Yes
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
6
Pressure Summary
Pressure Summary for Chamber bounded by Top Ellipsoidal Head and Top Ellipsoidal Head
Identifier
(
P
T
Design
Design
kg/cm2)
( °C)
MAWP
MAP
MAEP
( kg/cm2) ( kg/cm2) ( kg/cm2)
Te
external
( °C)
MDMT
MDMT
Impact
( °C)
Exemption
Tested
Top Ellipsoidal Head
1.75
170
7.31
7.88
1.11
170
-196
Note 1
No
Straight Flange on Top Ellipsoidal Head
1.75
170
8.57
9.23
2.33
170
-196
Note 2
No
Shell
1.75
170
5.51
5.94
1.1
170
-196
Note 2
No
Bottom Transition
1.75
170
4.99
5.39
1.28
170
-196
Note 2
No
Nozzle 18 neck plate
1.75
170
63.55
68.82
29.81
170
-196
Note 3
No
Stiffener Rings (Ring #2 in Group)
N/A
N/A
N/A
N/A
1.03
170
N/A
N/A
No
Stiffener Rings (Ring #3 in Group)
N/A
N/A
N/A
N/A
1.03
170
N/A
N/A
No
Stiffener Rings
N/A
N/A
N/A
N/A
1.03
170
N/A
N/A
No
Stiffener Ring @ Cone Parts (Ring #2 in Group)
N/A
N/A
N/A
N/A
1.03
170
N/A
N/A
No
Stiffener Ring @ Cone Parts
N/A
N/A
N/A
N/A
1.03
170
N/A
N/A
No
18 Flange
1.75
170
13.77
19.37
N/A
170
-48
Note 4, 5
No
Manhole (1 (24"))
1.75
170
4.8
5.39
1.1
170
-48
Nozzle Note 6
No
Pad Note 2
No
Feed from E201 (11 (54"))
1.75
170
4.8
5.39
1.1
170
-48
Nozzle Note 6
No
Pad Note 2
No
Washing conn. (35 (1.5"))
1.75
170
4.8
5.39
1.11
170
-48
Note 6
No
Sight glass (48A (4"))
1.75
170
4.8
5.39
1.28
170
-196
Note 2
No
Sight glass (48B (4"))
1.75
170
4.8
5.39
1.28
170
-196
Note 7
No
For 50 &51 conn. (50, 51 (6"))
1.75
170
4.8
5.39
1.11
170
-48
Nozzle Note 6
No
Pad Note 2
No
Vapor outlet to EA501 (7 (54"))
1.75
170
4.8
5.39
1.1
170
-196
Nozzle Note 8
No
Pad Note 2
No
Chamber design MDMT is 0 °C
Chamber rated MDMT is -48 °C @ 4.8 kg/cm2
Chamber MAWP was used in the MDMT determination
Chamber MAWP hot & corroded is 4.8 kg/cm2 @ 170 °C
This is due to the MAWP limit set in the Calculations tab of the Set Mode dialog. (SEE PAGE 3 NOTE 6)
Chamber MAP cold & new is 5.39 kg/cm2 @ 17 °C
Chamber MAEP is 1.03 kg/cm2 @ 170 °C
External pressure rating was governed by the vacuum ring Stiffener Rings (Ring #2 in Group).
Notes for MDMT Rating:
Note #
Exemption
Details
1. Material Rated MDMT per UHA-51(d)(1)(a) = -196 °C
2. Rated MDMT per UHA-51(d)(1)(a) = -196 °C
3. Impact test exempt per UHA-51(g)(coincident ratio = 0.0608)
4. Per UHA-51(d)(1)(a)
5. Flange rated MDMT = -196 °C
Flange rating governs:
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
7
6.
Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
7. Impact test exempt per UHA-51(g)(coincident ratio = 0.142)
8. Impact test exempt per UHA-51(g)(coincident ratio = 0.1514)
Design notes are available on the Settings Summary page.
Per UHA-51(d)(1)(a)
ITEM NO. : FA202
8
Pressure Summary
Pressure Summary for Chamber bounded by 50, 51 (6") Blind flange and 50, 51 (6") Blind flange
Identifier
Te
P
T
MAWP
MAP
MAEP
MDMT
MDMT
Impact
Design
Design
external
2
2
2
)
)
)
(
kg/cm
(
kg/cm
(
kg/cm
(
°C)
Exemption
Tested
( kg/cm2) ( °C)
( °C)
50, 51 (6") Blind flange
1.75
170
27.12
37.38
59.29
170
-196
Note 1
No
Shell
1.75
170
99.45
107.22
37.31
170
-196
Note 2
No
50, 51 (6") flange
1.75
170
38.04
52.44
219.53
170
-48
Note 3
No
50, 51 (6") flange - Flange Hub
1.75
170
89.23
123.02
43.39
170
-196
Note 4
No
Air inlet (50 (0.5"))
1.75
170
4.8
19.37
56.34
170
-48
Note 5
No
Air inlet (51 (0.5"))
1.75
170
4.8
19.37
56.34
170
-48
Note 5
No
Chamber design MDMT is 0 °C
Chamber rated MDMT is -48 °C @ 4.8 kg/cm2
Chamber MAWP was used in the MDMT determination
Chamber MAWP hot & corroded is 4.8 kg/cm2 @ 170 °C
This is due to the MAWP limit set in the Calculations tab of the Set Mode dialog.
Chamber MAP cold & new is 19.37 kg/cm2 @ 17 °C
Chamber MAEP is 37.31 kg/cm2 @ 170 °C
Vacuum rings did not govern the external pressure rating.
Notes for MDMT Rating:
Note
#
Exemption
Details
1. Impact test exempt per UHA-51(g)(coincident ratio = 0.1284)
2. Impact test exempt per UHA-51(g)(coincident ratio = 0.0461)
3.
Flange Impact test exempt per UHA-51(g)(coincident ratio =
0.0915)
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °
C
4. Impact test exempt per UHA-51(g)(coincident ratio = 0.0403)
Flange rating governs:
5. Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
Design notes are available on the Settings Summary page.
Per UHA-51(d)(1)(a)
9
Nozzle Summary
Nozzle
OD
tn
Req tn
mark
(mm)
(mm)
(mm)
Reinforcement
Shell
A1 ? A2 ?
Pad
Nom t Design t User t
Width
tpad
(mm)
(mm)
(mm)
(mm)
(mm)
Corr
Aa/Ar
(mm)
(%)
1 (24")
609.6
10
1.53
Yes Yes
18
16.3
270.2
18
0
122.2
11 (54")
1,371.6
34
8.33
Yes Yes
18
16.3
700
34
0
121.3
35 (1.5")
80
19.55
3.22
Yes Yes
23.8*
23.8
N/A
N/A
0
1106.3
48A (4")
229
64.5
8.11
Yes Yes
23
10.88
N/A
N/A
0
328.4
48B (4")
229
64.5
3.53
Yes Yes
23
15.7
N/A
N/A
0
370.9
50, 51 (6")
168.27
7.11
1.23
Yes Yes
23.8*
23.8
65.86
25
0
219.3
7 (54")
1,371.6
18
8.33
Yes Yes
23.8*
23.69
239.2
28
0
100.0
t n:
Nozzle thickness
Req tn:
Nozzle thickness required per UG-45/UG-16
Nom t:
Vessel wall thickness
51.8
Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37
User t:
Local vessel wall thickness (near opening)
Aa:
Area available per UG-37, governing condition
Ar:
Area required per UG-37, governing condition
Corr:
Corrosion allowance on nozzle wall
*
Head minimum thickness after forming
ITEM NO. : FA202
10
Nozzle Summary
Nozzle
mark
tn
OD
(mm) (mm)
Req tn
(mm)
Reinforcement
Shell
A1? A2?
Pad
Nom t Design t User t
Width
tpad
(mm)
(mm)
(mm)
(mm)
(mm)
Corr
Aa/Ar
(mm)
(%)
50 (0.5")
30
8.65
5.96
Yes
Yes
25.4*
24.76
N/A
N/A
3
100.0
51 (0.5")
30
8.65
5.96
Yes
Yes
25.4*
24.76
N/A
N/A
3
100.0
tn:
Nozzle thickness
Req tn:
Nozzle thickness required per UG-45/UG-16
Nom t:
Vessel wall thickness
Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37
User t:
Local vessel wall thickness (near opening)
A a:
Area available per UG-37, governing condition
A r:
Area required per UG-37, governing condition
Corr:
Corrosion allowance on nozzle wall
*
Head minimum thickness after forming
11
Nozzle Schedule
Nozzle
mark
Impact
Service
Size
Materials
Tested
Nozzle
1 (24")
11 (54")
35 (1.5")
Normalized
Manhole
Feed from E201
Washing conn.
SA-240 304
No
No
Fine
Grain
No
589.6 ID x 10
Blind
NPS 24 Class
NPS 24 Class
150
150
A182 F304
Pad
SA-240 304
No
No
No
WN A182 F304
Nozzle
SA-240 304
No
No
No
NPS 54 Class
Pad
SA-240 304
No
No
No
150
WN A182 F304
Nozzle
SA-182 F304 <= 125
No
No
No
NPS 1 1/2
Class 150
1,303.6 ID x 34
40.89 ID x 19.55
Flange
No
No
WN A182 F304
48A (4")
Sight glass
100 ID x 64.5
Nozzle
SA-182 F304 <= 125
No
No
No
N/A
No
48B (4")
Sight glass
100 ID x 64.5
Nozzle
SA-182 F304 <= 125
No
No
No
N/A
No
NPS 6 Sch 40S (Std)
Nozzle
No
No
No
NPS 6 Class
NPS 6 Class
150
150
WN A182 F304
A182 F304
N/A
No
50, 51
(6")
7 (54")
For 50 &51 conn.
Vapor outlet to
EA501
DN 150
1,335.6 ID x 18
SA-312 TP304 Wld &
smls pipe
Pad
SA-240 304
No
No
No
Nozzle
SA-240 304
No
No
No
Pad
SA-240 304
No
No
No
ITEM NO. : FA202
12
Nozzle Schedule
Impact
Nozzle
mark
Service
50
(0.5")
Air inlet
12.7 ID x
8.65
Nozzle
SA-182 F304 <=
125
51
(0.5")
Steam
inlet
12.7 ID x
8.65
Nozzle
SA-182 F304 <=
125
Size
Normalized
Fine
Grain
Flange
Blind
No
No
No
NPS 1/2 Class
150
LWN A182 F304
No
No
No
No
NPS 1/2 Class
150
LWN A182 F304
No
Materials
Tested
13
Thickness Summary
Component
Diameter
Length
(mm)
(mm)
(mm)
(mm)
(mm)
E
SA-240 304
8,500 ID
2,148.8
23.8*
22.96
0
1.00
External
Straight Flange on Top Ellipsoidal Head SA-240 304
8,500 ID
38
28
16.3
0
1.00
External
8,500 ID
8,662
18
17.41
0
1.00
External
5,900
23
19.98
0
0.85
External
Identifier
Top Ellipsoidal Head
Shell
Bottom Transition
Material
SA-240 304
SA-240 304 355.6 / 8,500 ID
Nominal t Design t Total Corrosion Joint
Load
Knuckle of Bottom Transition
SA-240 304
8,500
--
19.6
6.16
0
--
Internal
Nozzle 18 neck plate
SA-240 304
335.6 ID
103
10
0.97
0
0.85
External
Upper Skirt
SA-240 304
8,536 OD
700
12
9.16
0
0.55
Wind
Lower Skirt
SA-283 C
8,536 OD
2,770
13
8.41
0
0.80
Wind
Nominal t: Vessel wall nominal thickness
Design t:
Required vessel thickness due to governing loading + corrosion
Joint E:
Longitudinal seam joint efficiency
*
Head minimum thickness after forming
Load
internal:
Circumferential stress due to internal pressure governs
external:
External pressure governs
Wind:
Combined longitudinal stress of pressure + weight + wind governs
Seismic:
Combined longitudinal stress of pressure + weight + seismic governs
14
Weight Summary
Weight ( kg) Contributed by Vessel Elements
Component
Metal
Metal
New*
Corroded*
Insulation
Insulation
Supports
Lining
Operating Liquid
Piping
+ Liquid
New
Surface Area
Test Liquid
m2
Corroded New Corroded
Top Ellipsoidal Head 15,952.6
15,952.6
1,527.5
0
0
0
0
0 0.8
0.8
88.01
Shell
33,235.6
33,235.6
4,501.7
400
0
0
0
0 4.9
4.9
230.52
18,623
18,623
2,045.9
200
0
0 10,094.3
10,094.3 1.2
1.2
102.87
9
9
2.7
0
0
0
10.8
10.8 0
0
0.12
Upper Skirt
1,805.6
1,805.6
0
0
0
0
0
0 0
0
37.54
Lower Skirt
7,484.4
7,484.4
0
0
0
0
0
0 0
0
148.56
670.9
670.9
0
0
0
0
0
0 0
0
8.12
77,781.1
77,781.1
8,077.9
600
0
0 10,105.2
10,105.2 7
7
615.73
Bottom Transition
Nozzle 18 neck plate
Skirt Base Ring
TOTAL:
* Shells with attached nozzles have weight reduced by material cut out for opening.
Weight ( kg) Contributed by Attachments
Component
Nozzles &
Body Flanges
Packed Ladders &
Flanges
New Corroded
New
Corroded
Beds
Platforms
Trays
Tray
Rings & Vertical
Supports
Clips
Surface Area
m2
Loads
Top Ellipsoidal Head
0
0
615.4
615.4
0
9,428.3
0
0
0 0
Shell
0
0 6,745.3
6,745.3
0
4,275.3
0
0
7,362.5 16,600
93.63
Bottom Transition
0
0
19.9
19.9
0
112
0
0
1,743.8 0
34.76
Nozzle 18 neck plate 51.2
51.2
0
0
0
0
0
0
0 0
0.21
0
Upper Skirt
0
0
0
0
0
0
0
0
0 0
Lower Skirt
0
0
0
0
0
0
0
0
98.7 0
51.2 7,380.6
7,380.6
0
13,815.6
0
0
TOTAL:
51.2
9,205 16,600
* Platforms and ladders are not included in surface area.
Vessel operating weight, Corroded: 143,617 kg
Vessel operating weight, New:
143,617 kg
Vessel empty weight, Corroded:
133,511 kg
Vessel empty weight, New:
133,511 kg
Vessel test weight, New:
133,518 kg
Vessel test weight, Corroded:
133,518 kg
747.23 m2
Vessel surface area:
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 111,617 kg
Center of Gravity:
3,401.09 mm
Note: Vessel lift weight includes weight of insulation supports as they are assumed to be shop installed.
Vessel Capacity
Vessel Capacity** (New):
696,305 liters
Vessel Capacity** (Corroded): 696,305 liters
**The vessel capacity does not include volume of nozzle, piping or other attachments.
2.4
0.5
131.5
15
Test Report
(Pneumatic Test)
Shop test pressure determination for Chamber bounded by Top Ellipsoidal Head and Top Ellipsoidal Head based on user defined
pressure
Shop test gauge pressure is 2.08 kgf/cm2 at 17 °C
The shop test is performed with the vessel in the horizontal position.
Identifier
Local test Test liquid
Stress
Allowable
pressure static head during test test stress
kgf/cm2
kgf/cm2
kgf/cm2
kgf/cm2
Stress
excessive?
Top Ellipsoidal Head
2.08
0
334.287
1,899.73
No
Straight Flange on Top Ellipsoidal Head
2.08
0
316.754
1,899.73
No
Shell
2.08
0
492.152
1,899.73
No
Bottom Transition
2.08
0
459.401
1,899.73
No
Nozzle 18 neck plate
2.08
0
35.932
1,899.73
No
18 Flange
2.08
0
NI
Feed from E201 (11 (54"))
2.08
0
680.666
2,822.062
No
For 50 &51 conn. (50, 51 (6"))
2.08
0
402.865
2,822.062
No
Manhole (1 (24"))
2.08
0
671.831
2,822.062
No
Sight glass (48A (4"))
2.08
0
301.05
2,822.062
No
Sight glass (48B (4"))
2.08
0
99.575
2,822.062
No
Vapor outlet to EA501 (7 (54"))
2.08
0
631.406
2,822.062
No
Washing conn. (35 (1.5"))
2.08
0
211.27
2,822.062
No
NI
NI
Notes:
(1) NI indicates that test stress was not investigated.
(2) PL stresses at nozzle openings have been estimated using the method described in Division 2 Part 4.5.
(3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
(4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange.
The field test condition has not been investigated for the Chamber bounded by Top Ellipsoidal Head and Top Ellipsoidal Head .
ITEM NO. : FA202
16
Test Report
Shop test pressure determination for Chamber bounded by 50, 51 (6") Blind flange and 50, 51 (6") Blind flange based on
user defined pressure
Shop test gauge pressure is 2.08 kgf/cm2 at 17 °C
The shop test is performed with the vessel in the horizontal position.
Identifier
Local test Test liquid
Stress
Allowable
pressure static head during test test stress
kgf/cm2
kgf/cm2
kgf/cm2
kgf/cm2
Stress
excessive?
Shell
2.08
0
26.781
1,899.73
No
50, 51 (6") flange - Flange Hub
2.08
0
23.57
1,899.73
No
50, 51 (6") Blind flange
2.08
0
78.293
2,849.595
No
50, 51 (6") flange
2.08
0
111.627
2,849.595
No
Air inlet (50 (0.5"))
2.08
0
NI
NI
NI
Steam inlet (51 (0.5"))
2.08
0
NI
NI
NI
Notes:
(1) NI indicates that test stress was not investigated.
(2) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
(3) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange.
The field test condition has not been investigated for the Chamber bounded by 50, 51 (6") Blind flange and 50, 51 (6")
Blind flange.
17
Corroded Test Report
The shop test condition has not been investigated for the Chamber bounded by Top Ellipsoidal Head and Top Ellipsoidal Head .
Field test pressure determination for Chamber bounded by Top Ellipsoidal Head and Top Ellipsoidal Head based on user defined
pressure
Field test gauge pressure is 2.08 kgf/cm2 at 17 °C
The field test is performed with the vessel in the vertical position.
Local test Test liquid
Identifier
pressure
kgf/cm2
Stress
Allowable
static head during test test stress
kgf/cm2
kgf/cm2
kgf/cm2
Stress
excessive?
Top Ellipsoidal Head
2.08
0
334.285
1,899.73
No
Straight Flange on Top Ellipsoidal Head
2.08
0
316.753
1,899.73
No
Shell
2.08
0.000014
492.153
1,899.73
No
Bottom Transition
2.08
0.000014
459.402
1,899.73
No
Nozzle 18 neck plate
2.08
0.000014
35.933
1,899.73
No
18 Flange
2.08
0.000014
Feed from E201 (11 (54"))
2.08
0
680.666
2,822.062
No
For 50 &51 conn. (50, 51 (6"))
2.08
0
402.863
2,822.062
No
Manhole (1 (24"))
2.08
0.000014
671.833
2,822.062
No
Sight glass (48A (4"))
2.08
0.000014
301.051
2,822.062
No
Sight glass (48B (4"))
2.08
0.000014
99.576
2,822.062
No
Vapor outlet to EA501 (7 (54"))
2.08
0
631.404
2,822.062
No
Washing conn. (35 (1.5"))
2.08
0
211.27
2,822.062
No
NI
NI
NI
Notes:
(1) NI indicates that test stress was not investigated.
(2) PL stresses at nozzle openings have been estimated using the method described in Division 2 Part 4.5.
(3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
ITEM NO. : FA202
18
Corroded Test Report
The shop test condition has not been investigated for the Chamber bounded by 50, 51 (6") Blind flange and 50, 51 (6")
Blind flange.
Field test pressure determination for Chamber bounded by 50, 51 (6") Blind flange and 50, 51 (6") Blind flange based on
user defined pressure
Field test gauge pressure is 2.08 kgf/cm2 at 17 °C
The field test is performed with the vessel in the vertical position.
Identifier
Local test Test liquid
Stress
Allowable
pressure static head during test test stress
kgf/cm2
kgf/cm2
kgf/cm2
kgf/cm2
Stress
excessive?
Shell
2.08
0
27.078
1,899.73
No
50, 51 (6") flange - Flange Hub
2.08
0
23.57
1,899.73
No
50, 51 (6") Blind flange
2.08
0
78.293
2,849.595
No
50, 51 (6") flange
2.08
0
111.627
2,849.595
No
Air inlet (50 (0.5"))
2.08
0
NI
NI
NI
Steam inlet (51 (0.5"))
2.08
0
NI
NI
NI
Notes:
(1) NI indicates that test stress was not investigated.
(2) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
19
Wind Code
Building Code:
ASCE 7-10
Elevation of base above grade:
108.3661 ft (33.0301 m)
Increase effective outer diameter by: 1.9685 ft (0.6000 m)
Wind Force Coefficient Cf:
0.8000
Risk Category (Table 1.5-1):
II
Basic Wind Speed:, V:
100.6621 mph (162.0000 km/h)
Exposure category:
C
Wind Directionality Factor, Kd:
0.9500
Top Deflection Limit:
5 mm per m.
Topographic Factor, Kzt:
1.0000
Enforce min. loading of 0.77 kPa:
Yes
Vessel Characteristics
Vessel height, h:
46.9777 ft (14.3189 m)
Vessel Minimum Diameter, b
Operating, Corroded: 28.5302 ft (8.6960 m)
Empty, Corroded: 28.5302 ft (8.6960 m)
Hydrotest, Corroded, field: 28.5302 ft (8.6960 m)
Fundamental Frequency, n1
Operating, Corroded: 23.4008 Hz
Empty, Corroded: 23.0193 Hz
Hydrotest, Corroded, field: 23.0345 Hz
Vacuum, Corroded: 23.4008 Hz
Damping coefficient, b
Operating, Corroded: 0.0255
Empty, Corroded: 0.0210
Hydrotest, Corroded, field: 0.0260
Vacuum, Corroded: 0.0255
Table Lookup Values
2.4.1 Basic Load Combinations for Allowable Stress Design
The following load combinations are considered in accordance with ASCE section 2.4.1:
5.
D + P + Ps + 0.6W
7.
0.6D + P + Ps + 0.6W
Where
D
= Dead load
P
= Internal or external pressure load
Ps
= Static head load
W
= Wind load
Wind Deflection Reports:
Operating, Corroded
Empty, Corroded
Vacuum, Corroded
Hydrotest, Corroded, field
Wind Pressure Calculations
20
Wind Deflection Report: Operating, Corroded
Component
Top Ellipsoidal
Head
Elevation of
bottom above
base (mm)
Effective
OD
(m)
Elastic
modulus
E (kg/cm²)
Platform
Total wind
bending
Deflection
wind shear at
shear at
moment at
at top (mm)
Bottom (kgf) Bottom (kgf) Bottom (kgf-m)
Inertia
I (m4)
12,132
9.31
1,884,436.8
*
1,361.1
2,529.2
4,251.8
0.09
Shell (top)
3,470
9.30
1,884,436.8
4.369
2,241.9
9,025.2
76,451.5
0.08
Upper Skirt
2,770
9.14
1,951,738.1
2.919
2,241.9
9,941
81,080
0.01
Lower Skirt
0
9.14
2,062,683.3
3.161
2,241.9
11,636.6
110,965
0.01
Shell (bottom)
3,470
9.14
1,884,436.8
4.369
0
487.3
2,207.3
0.01
Bottom Transition
3,470
5.24
1,884,436.8
*
0
487.3
2,207.3
0.04
-2,430
1.12
1,884,436.8 0.0001622
0
16.9
1.9
0.04
Nozzle 18 neck
plate
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Empty, Corroded
Component
Top Ellipsoidal
Head
Elevation of
bottom above
base (mm)
Effective
OD
(m)
Elastic
modulus
E (kg/cm²)
Platform
wind shear at
Inertia
I (m4)
Bottom (kgf)
Total wind
shear at
bending
moment at
Bottom (kgf) Bottom (kgf-m)
Deflection
at top (mm)
12,132
9.31
1,990,827.2
*
1,361.1
2,529.2
4,251.8
0.09
Shell (top)
3,470
9.30
1,990,827.2
4.369
2,241.9
9,025.2
76,451.5
0.07
Upper Skirt
2,770
9.14
1,990,827.2
2.919
2,241.9
9,941
81,080
0.01
Lower Skirt
0
9.14
2,062,603.9
3.161
2,241.9
11,636.6
110,965
0.01
Shell (bottom)
3,470
9.14
1,990,827.2
4.369
0
487.3
2,207.3
0.01
Bottom Transition
3,470
5.24
1,990,827.2
*
0
487.3
2,207.3
0.04
-2,430
1.12
1,990,827.2 0.0001622
0
16.9
1.9
0.04
Nozzle 18 neck
plate
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Vacuum, Corroded
Component
Top Ellipsoidal
Head
Elevation of
bottom above
Effective
OD
Elastic
modulus
base (mm)
(m)
E (kg/cm²)
Platform
Total wind
bending
Deflection
wind shear at
shear at
moment at
at top (mm)
Bottom (kgf) Bottom (kgf) Bottom (kgf-m)
Inertia
I (m4)
12,132
9.31
1,884,436.8
*
1,361.1
2,529.2
4,251.8
0.09
Shell (top)
3,470
9.30
1,884,436.8
4.369
2,241.9
9,025.2
76,451.5
0.08
Upper Skirt
2,770
9.14
1,951,738.1
2.919
2,241.9
9,941
81,080
0.01
Lower Skirt
0
9.14
2,062,683.3
3.161
2,241.9
11,636.6
110,965
0.01
Shell (bottom)
3,470
9.14
1,884,436.8
4.369
0
487.3
2,207.3
0.01
Bottom Transition
3,470
5.24
1,884,436.8
*
0
487.3
2,207.3
0.04
-2,430
1.12
1,884,436.8 0.0001622
0
16.9
1.9
0.04
Nozzle 18 neck
plate
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Hydrotest, Corroded, field
21
Component
Elevation of
bottom above
base (mm)
Top Ellipsoidal
Head
Effective
OD
(m)
Elastic
modulus
E (kg/cm²)
Platform
Total wind
bending
Deflection
wind shear at
shear at
moment at
at top (mm)
Bottom (kgf) Bottom (kgf) Bottom (kgf-m)
Inertia
I (m4)
12,132
9.31
1,993,342.5
*
449.2
1,218.3
1,833.5
0.06
Shell (top)
3,470
9.30
1,993,342.5
4.369
739.8
5,283.1
54,549.2
0.05
Upper Skirt
2,770
9.14
1,993,342.5
2.919
739.8
5,924
57,068
0.01
Lower Skirt
0
9.14
2,065,538.5
3.161
739.8
7,110.1
75,120.2
0
Shell (bottom)
3,470
9.14
1,993,342.5
4.369
0
341.1
1,550.1
0.01
Bottom Transition
3,470
5.24
1,993,342.5
*
0
341.1
1,550.1
0.03
-2,430
1.12
1,993,342.5 0.0001622
0
12
1.4
0.03
Nozzle 18 neck
plate
*Moment of Inertia I varies over the length of the component
Wind Pressure (WP) Calculations
Gust Factor (G¯) Calculations
Kz = 2.01 * (Z/Zg)2/a
= 2.01 * (Z/274.3200)0.2105
qz = 0.613 * Kz * Kzt * Kd * V2
= 0.613 * Kz * 1.0000 * 0.9500 * 45.00002
= 1,179.2588 * Kz
WP = 0.6 * qz * G * Cf (Minimum 0.0078 kg/cm^2)
= 0.6 * qz * G * 0.8000 (Minimum 0.0078 kg/cm^2)
Design Wind Pressures
Height Z
(m)
Kz
qz
WP: Operating WP: Empty WP: Hydrotest New WP: Hydrotest Corroded WP: Vacuum
( kg/cm²)
( kg/cm²)
( kg/cm²)
( kg/cm²)
( kg/cm²)
( kg/cm²)
4.6
0.8489
0.0102
0.0047
0.0047
N.A.
0.0047
0.0047
6.1
0.9019
0.0109
0.0047
0.0047
N.A.
0.0047
0.0047
7.6
0.9453
0.0114
0.0048
0.0048
N.A.
0.0047
0.0048
9.1
0.9823
0.0118
0.0050
0.0050
N.A.
0.0047
0.0050
12.2
1.0436
0.0126
0.0053
0.0053
N.A.
0.0047
0.0053
15.2
1.0938
0.0132
0.0056
0.0056
N.A.
0.0047
0.0056
18.3
1.1366
0.0137
0.0058
0.0058
N.A.
0.0047
0.0058
21.3
1.1741
0.0141
0.0060
0.0060
N.A.
0.0047
0.0060
24.4
1.2075
0.0145
0.0062
0.0062
N.A.
0.0047
0.0062
27.4
1.2379
0.0149
0.0063
0.0063
N.A.
0.0047
0.0063
30.5
1.2656
0.0152
0.0064
0.0064
N.A.
0.0047
0.0064
36.6
1.3151
0.0158
0.0067
0.0067
N.A.
0.0047
0.0067
42.7
1.3585
0.0163
0.0069
0.0069
N.A.
0.0047
0.0069
48.8
1.3973
0.0168
0.0071
0.0071
N.A.
0.0047
0.0071
Design Wind Force determined from: F = Pressure * Af , where Af is the projected area.
22
Gust Factor Calculations
Operating, Corroded
Empty, Corroded
Vacuum, Corroded
Hydrotest, Corroded, field
Gust Factor Calculations: Operating, Corroded
Vessel is considered a rigid structure as n1 = 23.4008 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 46.9777 , 15.0000 )
= 28.1866
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 28.1866)1/6
= 0.2053
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (28.1866 / 33)0.2000
= 484.4799
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((28.5302 + 46.9777) / 484.4799)0.63))
= 0.9147
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 3.40* 0.2053 * 0.9147) / (1 + 1.7 * 3.40 * 0.2053)
= 0.8822
Gust Factor Calculations: Empty, Corroded
Vessel is considered a rigid structure as n1 = 23.0193 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 46.9777 , 15.0000 )
= 28.1866
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 28.1866)1/6
= 0.2053
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (28.1866 / 33)0.2000
= 484.4799
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((28.5302 + 46.9777) / 484.4799)0.63))
= 0.9147
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 3.40* 0.2053 * 0.9147) / (1 + 1.7 * 3.40 * 0.2053)
= 0.8822
Gust Factor Calculations: Vacuum, Corroded
Vessel is considered a rigid structure as n1 = 23.4008 Hz ≥ 1 Hz.
23
z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 46.9777 , 15.0000 )
= 28.1866
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 28.1866)1/6
= 0.2053
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (28.1866 / 33)0.2000
= 484.4799
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((28.5302 + 46.9777) / 484.4799)0.63))
= 0.9147
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 3.40* 0.2053 * 0.9147) / (1 + 1.7 * 3.40 * 0.2053)
= 0.8822
Gust Factor Calculations: Hydrotest, Corroded, field
Vessel is considered a rigid structure as n1 = 23.0345 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 46.9777 , 15.0000 )
= 28.1866
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 28.1866)1/6
= 0.2053
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (28.1866 / 33)0.2000
= 484.4799
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((28.5302 + 46.9777) / 484.4799)0.63))
= 0.9147
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 3.40* 0.2053 * 0.9147) / (1 + 1.7 * 3.40 * 0.2053)
= 0.8822
Table Lookup Values
a = 9.5000, zg = 274.3200 m
[Table 26.9-1, page 256]
c = 0.2000, l = 500.0000, ep = 0.2000 [Table 26.9-1, page 256]
a¯ = 0.1538, b¯ = 0.6500
[Table 26.9-1, page 256]
zmin = 15.0000 ft
[Table 26.9-1, page 256]
gQ = 3.40
[26.9.4 page 254]
gv = 3.40
[26.9.4 page 254]
24
Seismic Code
Method of seismic analysis:
UBC 1997 ground supported
Seismic Zone:
2B
Seismic Zone Factor (Table 16-I): Z = 0.2000
R Factor (Table 16-P):
R = 2.2000
Soil profile: (Table 16-Q):
SD
Importance Factor:
I = 1.2500
Vertical Accelerations Considered: Yes
Force Multiplier:
= 0.3333
Minimum Weight Multiplier:
= 0.2000
Vessel Characteristics
Vessel height: 46.9777 ft (14.32 m)
Vessel Weight:
Operating, Corroded: 316,620 lb (143,617 kg)
Empty, Corroded: 294,342 lb (133,511 kg)
Vacuum, Corroded: 316,620 lb (143,617 kg)
Period of Vibration Calculation
Fundamental Period, T:
Operating, Corroded: 0.043 sec (f = 23.4 Hz)
Empty, Corroded: 0.043 sec (f = 23.0 Hz)
Vacuum, Corroded: 0.043 sec (f = 23.4 Hz)
The fundamental period of vibration T (above) is calculated using the Rayleigh method of approximation:
T = 2 * PI * Sqr( {Sum(Wi * yi2 )} / {g * Sum(Wi * yi )} ), where
Wi is the weight of the ith lumped mass, and
yi is its deflection when the system is treated as a cantilever beam.
Seismic Shear Reports:
Operating, Corroded
Empty, Corroded
Vacuum, Corroded
Base Shear Calculations
Seismic Shear Report: Operating, Corroded
Component
Top Ellipsoidal Head
Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at
Bottom (kgf)
Bottom (kgf-m)
above base (mm)
(kg/cm²)
(m4)
12,132
1,884,436.8
*
8,447.1
12,664.2
Shell (top)
3,470
1,884,436.8
4.3686
20,260.8
166,191.5
Upper Skirt
2,770
1,951,738.1
2.919
24,909.3
169,082.9
Lower Skirt
0
2,062,683.3
3.161
25,137
238,397.1
Shell (bottom)
3,470
1,884,436.8
4.3686
4,524.7
14,432.7
Bottom Transition
3,470
1,884,436.8
*
4,524.7
14,432.7
25
Nozzle 18 neck plate
-2,430
1,884,436.8
0.0002
15.4
2.2
*Moment of Inertia I varies over the length of the component
Seismic Shear Report: Empty, Corroded
Component
Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at
Bottom (kgf)
Bottom (kgf-m)
above base (mm)
(kg/cm²)
(m4)
Top Ellipsoidal Head
12,132
1,990,827.2
*
8,427.6
12,635.1
Shell (top)
3,470
1,990,827.2
4.3686
20,214
165,867
Upper Skirt
2,770
1,990,827.2
2.919
23,141.4
174,878.6
Lower Skirt
0
2,062,603.9
3.161
23,368.6
239,295.1
Shell (bottom)
3,470
1,990,827.2
4.3686
2,804
7,075.3
Bottom Transition
3,470
1,990,827.2
*
2,804
7,075.3
-2,430
1,990,827.2
0.0002
13.1
2.1
Nozzle 18 neck plate
*Moment of Inertia I varies over the length of the component
Seismic Shear Report: Vacuum, Corroded
Component
Elevation of bottom Elastic modulus E Inertia I Seismic shear at Bending Moment at
Bottom (kgf)
Bottom (kgf-m)
above base (mm)
(kg/cm²)
(m4)
Top Ellipsoidal Head
12,132
1,884,436.8
*
8,447.1
12,664.2
Shell (top)
3,470
1,884,436.8
4.3686
20,260.8
166,191.5
Upper Skirt
2,770
1,951,738.1
2.919
24,909.3
169,082.9
Lower Skirt
0
2,062,683.3
3.161
25,137
238,397.1
Shell (bottom)
3,470
1,884,436.8
4.3686
4,524.7
14,432.7
Bottom Transition
3,470
1,884,436.8
*
4,524.7
14,432.7
-2,430
1,884,436.8
0.0002
15.4
2.2
Nozzle 18 neck plate
*Moment of Inertia I varies over the length of the component
Vertical Acceleration Term, VAccel
Factor is applied to dead load.
Compressive Side: = 1.0 + VAccel
VAccel Term is:
greater of (Force Mult * Base Shear / Weight) or (Min. Weight Mult.)
Force multiplier = 0.3333
Minimum Weight Multiplier = 0.2000
Force Mult * Shear
Condition
VAccel
Base Shear ( kgf) Weight ( kg)
Weight
Operating, Corroded
25,132.9
143,616.5
0.0583
0.2
Operating, New
25,132.9
143,616.5
0.0583
0.2
Empty, Corroded
23,364.5
133,511.3
0.0583
0.2
Empty, New
23,364.5
133,511.3
0.0583
0.2
Vacuum, Corroded
25,132.9
143,616.5
0.0583
0.2
Base Shear Calculations
26
Operating, Corroded
Empty, Corroded
Vacuum, Corroded
Base Shear Calculations: Operating, Corroded
Rigid structure per 1634.3, p2-21, since period of vibration = 0.043 < 0.06 .
V = 0.70 * Ca * I * W / 1.40 = 0.70 * 0.2800 * 1.2500 * 316,620.1563 / 1.4 = 55,408.53 lb (25,132.89 kg)
Base Shear Calculations: Empty, Corroded
Rigid structure per 1634.3, p2-21, since period of vibration = 0.043 < 0.06 .
V = 0.70 * Ca * I * W / 1.40 = 0.70 * 0.2800 * 1.2500 * 294,342.0938 / 1.4 = 51,509.87 lb (23,364.48 kg)
Base Shear Calculations: Vacuum, Corroded
Rigid structure per 1634.3, p2-21, since period of vibration = 0.043 < 0.06 .
V = 0.70 * Ca * I * W / 1.40 = 0.70 * 0.2800 * 1.2500 * 316,620.1563 / 1.4 = 55,408.53 lb (25,132.89 kg)
27
Top Ellipsoidal Head
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Ellipsoidal Head
Material Specification:
SA-240 304 (II-D Metric p.86, ln. 25)
Material Rated MDMT per UHA-51(d)(1)(a) = -196 °C
Internal design pressure: P = 1.75 kgf/cm2 @ 170 °C
External design pressure: Pe = 1.03 kgf/cm2 @ 170 °C
Static liquid head:
Ps= 0 kgf/cm2 (SG=1.19, Hs=0 mm Operating head)
Pth= 0 kgf/cm2 (SG=0, Hs=8500 mm Horizontal test head)
Corrosion allowance:
Inner C = 0 mm
Design MDMT = 0°C
Outer C = 0 mm
No impact test performed
Rated MDMT = -196°C
Material is not normalized
Material is not produced to fine grain practice
PWHT is not performed
Do not Optimize MDMT / Find MAWP
Radiography:
Category A joints -
Full UW-11(a) Type 1
Head to shell seam -
Full UW-11(a) Type 1
Estimated weight*:
new = 15,952.6 kg
corr = 15,952.6 kg
Capacity*:
new = 82,545.1 liters
corr = 82,545.1 liters
* includes straight flange
Inner diameter
Minimum head thickness
=
=
8500 mm
23.8 mm
Head ratio D/2h
Head ratio D/2h
Straight flange length Lsf
=
=
2 (new)
2 (corroded)
=
38 mm
Nominal straight flange thickness tsf
=
28 mm
Insulation thk*:
80 mm
density: 240 kg/m3
weight: 1,527.5213 kg
Insulation support ring
spacing:
0 mm
individual weight: 0 kg
total weight: 0 kg
* includes straight flange if applicable
Results Summary
The governing condition is external pressure.
Minimum thickness per UG-16
Design thickness due to internal pressure (t)
Design thickness due to external pressure (te)
=
=
1.5 mm + 0 mm = 1.5 mm
5.7 mm
=
22.96 mm
Maximum allowable working pressure (MAWP)
=
7.31 kgf/cm2
Maximum allowable pressure (MAP)
=
7.88 kgf/cm2
Maximum allowable external pressure (MAEP)
=
1.11 kgf/cm2
Design thickness for internal pressure, (Corroded at 170 °C) UG-32(d)(1)
t
=
P*D / (2*S*E - 0.2*P) + Corrosion
28
=
1.75*8,500 / (2*1,305.24*1 - 0.2*1.75) + 0
=
5.7 mm
The head internal pressure design thickness is 5.7 mm.
Maximum allowable working pressure, (Corroded at 170 °C) UG-32(d)(1)
P
=
2*S*E*t / (D + 0.2*t) - Ps
=
2*1,305.24*1*23.8 / (8,500 +0.2*23.8) - 0
=
7.31 kgf/cm2
The maximum allowable working pressure (MAWP) is 7.31 kgf/cm2.
Maximum allowable pressure, (New at 17 °C) UG-32(d)(1)
P
=
2*S*E*t / (D + 0.2*t) - Ps
=
2*1,407.21*1*23.8 / (8,500 +0.2*23.8) - 0
=
7.88 kgf/cm2
The maximum allowable pressure (MAP) is 7.88 kgf/cm2.
Design thickness for external pressure, (Corroded at 170 °C) UG-33(d)
Equivalent outside spherical radius (Ro)
Ro
A
=
Ko*Do
=
=
0.895*8,547.6
7,650.24 mm
=
0.125 / (Ro / t)
=
=
0.125 / (7,650.24 / 22.96)
0.000375
From Table HA-1 Metric:B
Pa
t
=
344.1832 kgf/cm2
=
B / (Ro / t)
=
344.1832 / (7,650.24 / 22.96)
=
1.033 kgf/cm2
=
22.96 mm + Corrosion = 22.96 mm + 0 mm = 22.96 mm
Check the external pressure per UG-33(a)(1) UG-32(d)(1)
t
=
1.67*Pe*D / (2*S*E - 0.2*1.67*Pe) + Corrosion
=
=
1.67*1.03*8,500 / (2*1,305.24*1 - 0.2*1.67*1.03) + 0
5.62 mm
The head external pressure design thickness (te) is 22.96 mm.
Maximum Allowable External Pressure, (Corroded at 170 °C) UG-33(d)
Equivalent outside spherical radius (Ro)
Ro
A
=
Ko*Do
=
=
0.895*8,547.6
7,650.24 mm
=
0.125 / (Ro / t)
=
=
0.125 / (7,650.24 / 23.8)
0.000389
29
From Table HA-1 Metric:B
Pa
=
356.8127 kgf/cm2
=
B / (Ro / t)
=
356.8127 / (7,650.24 / 23.8)
=
1.1101 kgf/cm2
Check the Maximum External Pressure, UG-33(a)(1) UG-32(d)(1)
P
=
2*S*E*t / ((D + 0.2*t)*1.67) - Ps2
=
2*1,305.24*1*23.8 / ((8,500 +0.2*23.8)*1.67) - 0
=
4.37 kgf/cm2
The maximum allowable external pressure (MAEP) is 1.11 kgf/cm2.
% Forming strain - UHA-44(a)(2)(b)
EFE
=
(75*t / Rf)*(1 - Rf / Ro)
=
(75*28 / 1,459)*(1 - 1,459 / infinity)
=
1.4393%
30
Straight Flange on Top Ellipsoidal Head
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Material specification:
Straight Flange
SA-240 304 (II-D Metric p. 86, ln. 25)
Rated MDMT per UHA-51(d)(1)(a) = -196 °C
Internal design pressure: P = 1.75 kg/cm2 @ 170 °C
External design pressure: Pe = 1.03 kg/cm2 @ 170 °C
Static liquid head:
Ps
=
0 kg/cm2 (SG = 1.19, Hs = 0 mm,Operating head)
Pth
=
0 kg/cm2 (SG = 0, Hs = 8,500 mm, Horizontal test head)
Corrosion allowance
Inner C = 0 mm
Design MDMT = 0 °C
Rated MDMT = -196 °C
Radiography:
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Longitudinal joint Circumferential joint -
Estimated weight New = 228.8 kg
Capacity
Outer C = 0 mm
Full UW-11(a) Type 1
Full UW-11(a) Type 1
corr = 228.8 kg
New = 2,156.31 liters corr = 2,156.31 liters
ID
Length Lc
=
8,500 mm
=
38 mm
t
=
28 mm
Insulation thk:
80 mm
density:
240 kg/m3
Design thickness, (at 170 °C) UG-27(c)(1)
t
=
=
=
P*R / (S*E - 0.60*P) + Corrosion
1.75*4,250 / (1,305.24*1.00 - 0.60*1.75) + 0
5.7 mm
Maximum allowable working pressure, (at 170 °C) UG-27(c)(1)
P
=
S*E*t / (R + 0.60*t) - Ps
=
1,305.24*1.00*28 / (4,250 + 0.60*28) - 0
=
8.57 kg/cm2
Maximum allowable pressure, (at 17 °C) UG-27(c)(1)
P
=
=
S*E*t / (R + 0.60*t)
1,407.21*1.00*28 / (4,250 + 0.60*28)
=
9.23 kg/cm2
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
1,908.33 / 8,556
Do / t
=
8,556 / 16.3
From table G:
=
=
0.2230
524.8569
A
=
0.000538
From table HA-1 Metric: B
=
406.6327 kg/cm2
Weight:
0 kg
31
Pa
=
4*B / (3*(Do / t))
=
4*406.63 / (3*(8,556 / 16.3))
=
1.03 kg/cm2
Design thickness for external pressure Pa = 1.03 kg/cm2
ta
=
t + Corrosion
=
16.3 + 0 = 16.3 mm
Maximum Allowable External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
1,908.33 / 8,556
=
0.2230
Do / t
=
8,556 / 28
=
305.5714
A
=
0.001243
From table HA-1 Metric: B
From table G:
=
534.3388 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*534.34 / (3*(8,556 / 28))
=
2.33 kg/cm2
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*28 / 4,264)*(1 - 4,264 / infinity)
=
0.3283%
Design thickness = 16.3 mm
The governing condition is due to external pressure.
The cylinder thickness of 28 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition
Pressure P
Allowable Stress Before
UG-23 Stress Increase
( kg/cm2)
( kg/cm2)
St
Temperature
( °C)
Corrosion C
(mm)
1.75
1,305.2
466.2
170
0
Operating, Hot & New
1.75
1,305.2
466.2
170
0
Hot Shut Down,
Corroded
0
1,305.2
466.2
170
0
Hot Shut Down, New
0
1,305.2
466.2
170
0
Empty, Corroded
0
1,407.2
579.1
21.11
0
Empty, New
0
1,407.2
579.1
21.11
0
-1.03
1,305.2
466.2
170
0
Req'd Thk
Due to
Tension (mm)
Sc
Operating, Hot &
Corroded
Vacuum
Load
Req'd Thk Due to
Compression (mm)
Wind
2.34
2.3
Seismic
2.32
2.28
Wind
2.34
2.3
Seismic
2.32
2.28
Wind
0.1
0.2
Seismic
0.15
0.26
Wind
0.1
0.2
Seismic
0.15
0.26
Wind
0.08
0.16
Seismic
0.12
0.21
Wind
0.08
0.16
Seismic
0.12
0.21
Wind
4.02
4.12
Seismic
4.07
4.18
32
Hot Shut Down,
Corroded, Weight &
Eccentric Moments
Only
0
1,305.2
466.2
170
0 Weight
0.22
0.22
33
Shell
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Material specification:
Cylinder
SA-240 304 (II-D Metric p. 86, ln. 25)
Rated MDMT per UHA-51(d)(1)(a) = -196 °C
Internal design pressure: P = 1.75 kg/cm2 @ 170 °C
External design pressure: Pe = 1.03 kg/cm2 @ 170 °C
Static liquid head:
Ps
=
0 kg/cm2 (SG = 1.19, Hs = 0 mm,Operating head)
Pth
=
0 kg/cm2 (SG = 0, Hs = 8,500 mm, Horizontal test head)
Corrosion allowance
Inner C = 0 mm
Design MDMT = 0 °C
Rated MDMT = -196 °C
Radiography:
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Longitudinal joint Full UW-11(a) Type 1
Top circumferential joint Full UW-11(a) Type 1
Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 33,235.6 kg
Capacity
Outer C = 0 mm
corr = 33,235.6 kg
New = 491,525.34 liters corr = 491,525.34 liters
ID
Length Lc
=
8,500 mm
=
8,662 mm
t
=
18 mm
Insulation thk:
Insulation Support
Spacing:
80 mm
density:
3,000 mm
Individual Support
Weight:
240 kg/m3
200 kg
Design thickness, (at 170 °C) UG-27(c)(1)
t
=
=
=
P*R / (S*E - 0.60*P) + Corrosion
1.75*4,250 / (1,305.24*1.00 - 0.60*1.75) + 0
5.7 mm
Maximum allowable working pressure, (at 170 °C) UG-27(c)(1)
P
=
S*E*t / (R + 0.60*t) - Ps
=
1,305.24*1.00*18 / (4,250 + 0.60*18) - 0
=
5.51 kg/cm2
Maximum allowable pressure, (at 17 °C) UG-27(c)(1)
P
=
=
S*E*t / (R + 0.60*t)
1,407.21*1.00*18 / (4,250 + 0.60*18)
=
5.94 kg/cm2
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
2,500 / 8,536
=
0.2929
Do / t
=
8,536 / 17.41
=
490.3672
Weight:
Total Support
Weight:
4,501.7 kg
400 kg
34
From table G:
A
=
0.000444
From table HA-1 Metric: B
=
379.912 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*379.91 / (3*(8,536 / 17.41))
=
1.03 kg/cm2
Design thickness for external pressure Pa = 1.03 kg/cm2
ta
=
t + Corrosion
=
17.41 + 0 = 17.41 mm
Maximum Allowable External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
2,500 / 8,536
Do / t
=
8,536 / 18
From table G:
=
0.2929
=
474.2222
A
=
0.000472
From table HA-1 Metric: B
=
389.6737 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*389.67 / (3*(8,536 / 18))
=
1.1 kg/cm2
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*18 / 4,259)*(1 - 4,259 / infinity)
=
0.2113%
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*p*Rm) + M / (p*Rm2)
= 10*91,752.9 / (2*p*4,259) + 10000*76,451.5 / (p*4,2592)
= 47.7032 kg/cm
a = Pv / (Pe*Do)
= 10*47.7032 / (1.03*8,536)
= 0.0541
n = 13
m = 1.23 / (L / Do)2
= 1.23 / (2,500 / 8,536)2
= 14.3395
Ratio Pe = (n2 - 1 + m + m*a) / (n2 - 1 + m)
= (132 - 1 + 14.3395 + 14.3395*0.0541) / (132 - 1 + 14.3395)
= 1.0043
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Wind Loading Check at Bottom Seam (Bergman, ASME paper 54-A-104)
Pv = 0.6*W / (2*p*Rm) + M / (p*Rm2)
= 0.60*10*-36,727.7 / (2*p*4,259) + 10000*2,207.3 / (p*4,2592)
= -7.8475 kg/cm
a = Pv / (Pe*Do)
35
= 10*-7.8475 / (1.03*8,536)
= -0.0089
n = 13
m = 1.23 / (L / Do)2
= 1.23 / (2,500 / 8,536)2
= 14.3395
Ratio Pe = (n2 - 1 + m + m*a) / (n2 - 1 + m)
= (132 - 1 + 14.3395 + 14.3395*-0.0089) / (132 - 1 + 14.3395)
= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*p*Rm) + M / (p*Rm2)
= 1.20*10*91,752.9 / (2*p*4,259) + 10000*166,191.5 / (p*4,2592)
= 70.3084 kg/cm
a = Pv / (Pe*Do)
= 10*70.3084 / (1.03*8,536)
= 0.0797
n = 13
m = 1.23 / (L / Do)2
= 1.23 / (2,500 / 8,536)2
= 14.3395
Ratio Pe = (n2 - 1 + m + m*a) / (n2 - 1 + m)
= (132 - 1 + 14.3395 + 14.3395*0.0797) / (132 - 1 + 14.3395)
= 1.0063
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check at Bottom Seam(Bergman, ASME paper 54-A-104)
Pv = W / (2*p*Rm) + M / (p*Rm2)
= 10*-36,727.7 / (2*p*4,259) + 10000*14,432.7 / (p*4,2592)
= -11.1921 kg/cm
a = Pv / (Pe*Do)
= 10*-11.1921 / (1.03*8,536)
= -0.0127
n = 13
m = 1.23 / (L / Do)2
= 1.23 / (2,500 / 8,536)2
= 14.3395
Ratio Pe = (n2 - 1 + m + m*a) / (n2 - 1 + m)
= (132 - 1 + 14.3395 + 14.3395*-0.0127) / (132 - 1 + 14.3395)
= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
Design thickness = 17.41 mm
The governing condition is due to external pressure.
36
The cylinder thickness of 18 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition
Pressure P
( kg/cm2)
Allowable Stress
Before UG-23 Stress
Increase (
St
kg/cm2)
Temperature
( °C)
Corrosion
C (mm)
Location
(mm)
Sc
1.75
1,305.2
403.9
170
2.33
2.07
Seismic
2.34
1.92
Wind
2.46
2.42
Seismic
2.5
2.45
Wind
2.33
2.07
Seismic
2.34
1.92
Wind
2.46
2.42
Seismic
2.5
2.45
Wind
0.15
0.98
Seismic
0.11
1.45
Wind
0.09
0.05
Seismic
0.12
0.07
Wind
0.15
0.98
Seismic
0.11
1.45
Wind
0.09
0.05
Seismic
0.12
0.07
Wind
0.12
0.82
Seismic
0.09
1.21
Wind
0.06
0.03
Seismic
0.08
0.05
Wind
0.12
0.82
Seismic
0.09
1.21
Wind
0.06
0.03
Seismic
0.08
0.05
Wind
4.68
5.51
Seismic
4.63
5.98
Wind
4.24
4.37
Seismic
4.14
4.3
Top
Weight
0.74
0.96
Bottom
Weight
0.11
0.11
0
Bottom
Top
Operating, Hot &
New
1.75
1,305.2
403.9
170
0
Bottom
Top
Hot Shut Down,
Corroded
0
1,305.2
403.9
170
0
Bottom
Top
Hot Shut Down,
New
0
1,305.2
403.9
170
0
Bottom
Top
Empty, Corroded
0
1,407.2
482.2
21.11
0
Bottom
Top
Empty, New
0
1,407.2
482.2
21.11
0
Bottom
Top
Vacuum
-1.03
1,305.2
403.9
170
0
Bottom
Hot Shut Down,
Corroded, Weight &
Eccentric Moments
Only
0
1,305.2
403.9
170
Req'd Thk Due to
Compression
(mm)
Wind
Top
Operating, Hot &
Corroded
Load
Req'd Thk
Due to
Tension
0
37
Bottom Transition
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Material specification:
Transition
SA-240 304 (II-D Metric p. 86, ln. 25)
Rated MDMT per UHA-51(d)(1)(a) = -196 °C
Internal design pressure: P = 1.75 kg/cm2 @ 170 °C
External design pressure: Pe = 1.03 kg/cm2 @ 170 °C
Static liquid head:
Ps
=
0.27 kg/cm2 (SG = 1.19, Hs = 2,280 mm Operating head at small end)
Ps
=
0 kg/cm2
(SG = 1.19, Hs = 0 mmOperating head at large end)
Pskl
=
0 kg/cm2
(SG = 1.19, Hs = 0 mm Operating head at knuckle tangent)
Pth
=
0 kg/cm2
(SG = 0, Hs = 4,427.8 mm, Horizontal test head at small end)
Pth
=
0 kg/cm2
(SG = 0, Hs = 8,500 mm, Horizontal test head at large end)
Corrosion allowance:
Inner C = 0 mm
Design MDMT = 0 °C
Outer C = 0 mm
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Radiography:
Category A joints Circ. joint top/left -
Full UW-11(a) Type 1
Full UW-11(a) Type 1
Circ. joint right/bottom -
Full UW-11(a) Type 1
Estimated weight: New = 18,623 kg
Capacity:
New = 122,214.2 liters
Axial length
Large End ID
=
=
Small End ID
Cone tc
=
355.6 mm
=
23 mm
corr = 18,623 kg
corr = 122,214.2 liters
5,900 mm
8,500 mm
Knuckle thickness tkL =
19.6 mm (Min)
Knuckle radius rl
=
520 mm
Insulation thk:
80 mm
density:
3,000 mm
Individual Support
Weight:
Insulation Support
Spacing:
240 kg/m3
Weight:
2,045.9 kg
200 kg
Total Support
Weight:
200 kg
Design thickness, (at 170 °C) UG-32(h) (Large End)
Di
t
=
D - 2*r*(1 - cos(a))
=
=
8,500 - 2*520*(1 - cos(35.3811))
8,307.93 mm
=
P*Di / (2*cos(a)*(S*E - 0.60*P)) + Corrosion
=
=
1.75*8,307.93 / (2*cos(35.3811)*(1,305.24*0.85 - 0.60*1.75)) + 0
8.04 mm
Design thickness, (at 170 °C) Appendix 1-4(d) (Knuckle)
L
=
Di / (2*cos(a))
=
=
8,307.93 / (2*cos(35.3811))
5,094.9 mm
38
M
tk
=
0.25*(3 + Sqr(L / r))
=
=
0.25*(3 + Sqr(5,094.9 / 520))
1.5325
=
P*L*M / (2*S*E - 0.20*P) + Corrosion
=
=
1.75*5,094.9*1.5325 / (2*1,305.24*0.85 - 0.20*1.75) + 0
6.16 mm
Small End design thickness (t = 0.4 mm) does not govern.
Maximum allowable working pressure, (Corroded at 170 °C) UG-32(h)
P
=
2*S*E*t*cos(a) / (Di + 1.20*t*cos(a)) - Pskl
=
2*1,305.24*0.85*23*cos(35.3811) / (8,307.93 + 1.20*23*cos(35.3811)) - 0
=
4.99 kg/cm2
Maximum allowable working pressure, (Corroded at 170 °C) App 1-4(d) (Knuckle)
P
=
2*S*E*tk / (L*M + 0.20*tk) - Ps
=
2*1,305.24*0.85*19.6 / (5,094.9*1.5325 + 0.20*19.6) - 0
=
5.57 kg/cm2
Small End MAWP (109.78 kg/cm2) does not govern.
Maximum allowable pressure, (New at 17 °C) UG-32(h)
P
=
2*S*E*t*cos(a) / (Di + 1.20*t*cos(a))
=
2*1,407.21*0.85*23*cos(35.3811) / (8,307.93 + 1.20*23*cos(35.3811))
=
5.39 kg/cm2
Maximum allowable pressure, (New at 17 °C) App 1-4(d) (Knuckle)
P
=
2*S*E*tk / (L*M + 0.20*tk)
=
2*1,407.21*0.85*19.6 / (5,094.9*1.5325 + 0.20*19.6)
=
6 kg/cm2
Small End MAP (118.65 kg/cm2) does not govern.
External Pressure, (Corroded & at 170 °C) UG-33(f)
DL
=
8,348.23 mm
r1
=
539.6 mm
Le
te
=
=
r1*sin(a) + ((Lc / 2)*((DL + Ds)) / DLs)
=
=
539.6*sin(35.3811) + ((2,187.56 / 2)*((8,348.23 + 5,232.82)) / 8,539.2)
2,052.03 mm
t*cos(a)
=
19.98*cos(35.3811)
=
16.29 mm
Le / DL
=
2,052.03 / 8,348.23
=
0.2458
DL / te
=
8,348.23 / 16.29
=
512.4879
A
=
0.000500
From table HA-1 Metric: B
=
397.0499 kg/cm2
From table G:
Pa
=
4*B / (3*(DL / te))
=
4*397.05 / (3*(8,348.23 / 16.29))
=
1.03 kg/cm2
Design thickness for external pressure Pa = 1.03 kg/cm2
39
ta
te / cos(a) + Corrosion
=
=
16.29 / cos(35.3811) + 0 = 19.98 mm
Maximum Allowable External Pressure, (Corroded & at 170 °C) UG-33(f)
te
=
t*cos(a)
=
23*cos(35.3811)
=
Le / DL
=
2,052.03 / 8,348.23
=
0.2458
DL / te
=
8,348.23 / 18.75
=
445.184
From table G:
18.75 mm
A
=
0.000633
From table HA-1 Metric: B
=
428.7953 kg/cm2
Pa
=
4*B / (3*(DL / te))
=
4*428.8 / (3*(8,348.23 / 18.75))
=
1.28 kg/cm2
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*28.21 / 191.9)*(1 - 191.9 / infinity)
=
7.35%
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
=
[0.6*W / (2*p*Rm) + M / (p*Rm2)] / cos(a)
=
=
10*(0.60*-32,600.3 / (2*p*4,259.8) + 1000*2,207.3 / (p*4,259.82)) / cos(35.3811)
-8.4886 kg/cm
=
Pv / (Pe*Do)
=
=
10*-8.4886 / (1.03*8,348.23)
-0.0098
n
=
13
m
=
1.23 / (L / Do)2
=
1.23 / (2,052.03 / 8,348.23)2
=
20.3577
=
(n2 - 1 + m + m*a) / (n2 - 1 + m)
Pv
a
Ratio Pe
(132 - 1 + 20.3577 + 20.3577*-0.0098) / (132 - 1 + 20.3577)
= 1.0000
Ratio Pe*Pe ≤ MAEP design transition thickness is satisfactory.
=
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv
=
[W / (2*p*Rm) + M / (p*Rm2)] / cos(a)
=
10*(-32,600.3 / (2*p*4,259.8) + 1000*14,432.7 / (p*4,259.82)) / cos(35.3811)
-11.8339 kg/cm
=
=
Pv / (Pe*Do)
=
=
10*-11.8339 / (1.03*8,348.23)
-0.0137
n
=
13
m
=
1.23 / (L / Do)2
=
1.23 / (2,052.03 / 8,348.23)2
=
20.3577
=
(n2 - 1 + m + m*a) / (n2 - 1 + m)
=
(132 - 1 + 20.3577 + 20.3577*-0.0137) / (132 - 1 + 20.3577)
1.0000
a
Ratio Pe
=
Ratio Pe*Pe ≤ MAEP design transition thickness is satisfactory.
Transition design thickness = 19.98 mm
40
The governing condition is due to external pressure.
The transition thickness of 23 is adequate.
Thickness Required Due to Pressure + External Loads
Condition
Pressure P
( kg/cm2)
Allowable Stress
Before UG-23 Stress
Increase ( kg/cm2)
St
Temperature
( °C)
Corrosion
C (mm)
Location
1.75
1,305.2
409.3
Wind
3.01
2.97
170
Seismic
3.05
2.99
Wind
0.15
0.13
Seismic
0.15
0.14
Wind
3.01
2.97
Seismic
3.05
2.99
Wind
0.15
0.13
Seismic
0.15
0.14
Wind
0.1
0.05
Seismic
0.13
0.08
Wind
0.02
0.01
Seismic
0.03
0.02
Wind
0.1
0.05
Seismic
0.13
0.08
Wind
0.02
0.01
Seismic
0.03
0.02
Wind
0.06
0.03
Seismic
0.08
0.05
0
0
Seismic
0.01
0
Wind
0.06
0.03
Seismic
0.08
0.05
0
0
Seismic
0.01
0
Wind
5.17
5.31
Seismic
5.05
5.24
Wind
0.15
0.19
Seismic
0.14
0.16
Top
Weight
0.11
0.11
Bottom
Weight
0.03
0.03
0
Bottom
Top
Operating, Hot &
New
1.75
1,305.2
409.3
170
0
Bottom
Top
Hot Shut Down,
Corroded
0
1,305.2
409.3
170
0
Bottom
Top
Hot Shut Down,
New
0
1,305.2
409.3
170
0
Bottom
Top
Empty, Corroded
0
1,407.2
490.4
21.11
0
Bottom
Top
Empty, New
0
1,407.2
490.4
21.11
0
Bottom
Top
Vacuum
-1.03
1,305.2
409.3
170
0
Bottom
Hot Shut Down,
Corroded, Weight &
Eccentric Moments
Only
0
1,305.2
409.3
Req'd Thk Due to
Compression
(mm)
(mm)
Sc
Top
Operating, Hot &
Corroded
Load
Req'd Thk
Due to
Tension
170
Wind
Wind
0
Appendix 1-5 calculations are not required for the transition large end as a knuckle is present.
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cylinder
41
Internal pressure = 5.27 kgf/cm2 (MAWP = 4.99 kgf/cm2)
Loading
sL
(windward,
sL
(leeward,
kgf/cm2)
kgf/cm2)
inner
outer
inner
outer
Wind
-83.324 176.088 -82.1 173.501
Corroded
Allowable sL
stm
(kgf/cm2)
(kgf/cm2)
compressive
tensile
windward
3,915.707 3,915.707
leeward
allowable
137.955 137.265 1,957.854
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cone
Internal pressure = 5.27 kgf/cm2 (MAWP = 4.99 kgf/cm2)
Loading
sL
sL
(windward,
(leeward,
kgf/cm2)
kgf/cm2)
inner
outer
inner
outer
Wind
0.215 49.253 0.212 48.529
Corroded
Allowable sL
stm
(kgf/cm2)
(kgf/cm2)
compressive
tensile
0 3,915.707
windward leeward
allowable
95.484 94.794 1,957.854
42
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cylinder
Internal pressure = 5.27 kgf/cm2 (MAWP = 4.99 kgf/cm2)
sL
Loading
(windward,
kgf/cm2)
inner
outer
sL
Allowable sL
stm
(leeward, kgf/cm2)
(kgf/cm2)
(kgf/cm2)
inner
outer
Seismic
-83.618 176.709 -82.538 174.426
Corroded
compressive
tensile
windward
3,915.707 3,915.707
leeward
allowable
138.121 137.512 1,957.854
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cone
Internal pressure = 5.27 kgf/cm2 (MAWP = 4.99 kgf/cm2)
Loading
sL
sL
(windward,
(leeward,
kgf/cm2)
kgf/cm2)
inner
outer
inner
outer
Seismic
0.216 49.427 0.213 48.788
Corroded
Allowable sL
stm
(kgf/cm2)
(kgf/cm2)
compressive
tensile
0 3,915.707
windward leeward
allowable
95.65 95.041 1,957.854
Appendix 1-8(b) reinforcement calculations are not required for the transition large end as a knuckle is present.
43
Cone large end calculations for external pressure of 1.28 kgf/cm2
Appendix 1-8(b)
Loading
Area
Ring
U-2(g)
f1
QL
ArL
AeL
check
Area
analysis
area (cm2)
req'd
status
(kgf/cm) (kgf/cm) (cm2) (cm2)
req'd
T-160x160x16/16
D< a
I's
I'
(cm4)
(cm4)
I
status
Wind
Corroded
NA
No
-6.92
NA
NA
NA
48.6
NA
10,131.85 12,323.72
OK
Seismic
Corroded
NA
No
-9.65
NA
NA
NA
48.6
NA
10,042.37 12,323.72
OK
M = -RL*tan(a) / 2 + LL / 2 + (RL2 - Rs2) / (3*RL*tan(a))
= -4,268*tan(35.3811) / 2 + 2,500 / 2 + (4,2682 - 177.82) / (3*4,268*tan(35.3811))
= 1,734.31 mm
ATL = LL*ts / 2 + Lc * tc / 2 + As
= 0.01*2,500*18 / 2 + 0.01*3,066.29 * 23 / 2 + 48.6
= 626.2229 cm2
FL = P*M + f1*tan(a)
= 0.1*1.28*1,734.31 + -6.92*tan(35.3811)
= 217.01 kgf/cm
B = 0.75*FL*DL / ATL
= 0.75*217.01*8,536 / (10*626.2229)
= 221.852 kgf/cm2
From Table HA-1 Metric: A = 0.000242 (shell, 170°C)
I's = A*DL2*ATL / 10.9
= 0.01*0.000242*8,5362*626.2229 / 10.9
= 10,131.85 cm4
The calculated I' for the combined ring-shell-cone cross section is 12,323.72 cm4
As I' >= I's the large end is adequately stiffened per Appendix 1-8(b).
44
Cone small end calculations for external pressure of 1.28 kgf/cm2
Appendix 1-8(c)
Loading
U-2(g)
f2
Qs
Ars
Aes
Ring
Area
analysis
2) status
2
2
area
(cm
(kgf/cm) (kgf/cm) (cm ) (cm )
req'd
I's
I'
(cm4)
(cm4)
I
status
Wind
Corroded
No
-1.69
9.69
0.09
10.8
none
OK
10.4516 10.4516
OK
Seismic
Corroded
No
-2.93
8.45
0.08
10.8
none
OK
10.4487 10.4516
OK
Cone small end calculations per Appendix 1-8(c), wind + external pressure
f2 = 0.6*Ws / (p*2*Rm) + Ms / (p*Rm2)
= 0.6*10*-342.94 / (p*2*172.8) + 1e4*1.9 / (p*172.82)
= -1.69 kgf/cm
P*Rs / 2 = 11.3765 kgf/cm
f2 + P*Rs / 2 is in compression so a U-2(g) analysis is not required.
Qs = P*Rs / 2 + f2
= 11.38 + -1.69
= 9.69 kgf/cm
Ars = (k*Qs*Rs*tan(a) / (Ss*E1))
= (1*9.69*177.8*tan(35.3811) / (10*1,305.236*1))
= 0.0937 cm2
Aes = 0.55*(Ds*ts)0.5*((ts - t) + (tc - tr) / cos(a))
= 0.01*0.55*(355.6*10)0.5*((10 - 1.06) + (23 - 3.43) / cos(35.3811))
= 10.803 cm2
Aes >= Ars therefore the small end juncture is adequately reinforced.
N = Rs*tan(a) / 2 + Ls / 2 + (RL2 - Rs2) / (6*Rs*tan(a))
= 177.8*tan(35.3811) / 2 + 230 / 2 + (4,2682 - 177.82) / (6*177.8*tan(35.3811))
= 24,180.32 mm
ATS = Ls*ts / 2 + Lc * tc / 2 + As
= 0.01*230*10 / 2 + 0.01*4,170.15 * 23 / 2 + 0
= 491.07
Fs = P*N + f2*tan(a)
= 0.1*1.28*24,180.32 + -1.69*tan(35.3811)
= 3,093.14 kgf/cm
B = 0.75*Fs*Ds / ATS
= 0.75*3,093.14*355.6 / (10*491.0672)
= 167.989 kgf/cm2
From Table HA-1 Metric: A = 0.000183 (shell, 170°C)
I's = A*Ds2*ATS / 10.9
= 0.01*0.000183*355.62*491.0672 / 10.9
= 10.4516 cm4
45
The calculated I' for the combined shell-cone cross section is 10.4516 cm4
As I' >= I's the small end is adequately stiffened per Appendix 1-8(c).
46
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cylinder
Internal pressure = 5.66 kgf/cm2 (MAP)
Loading
sL
sL
(windward,
(leeward,
kgf/cm2)
kgf/cm2)
inner
outer
Allowable sL
stm
(kgf/cm2)
(kgf/cm2)
inner outer compressive
Pressure -87.794 185.533
0
0
tensile
windward leeward
4,221.622 4,221.622
147.217
allowable
0 2,110.811
Appendix 1-5(g), U-2(g) analysis of small end juncture, stress in the cone
Internal pressure = 5.66 kgf/cm2 (MAP)
Loading
sL
(windward,
sL
(leeward,
kgf/cm2)
kgf/cm2)
inner
outer
Pressure 0.226 51.895
Allowable sL
stm
(kgf/cm2)
(kgf/cm2)
inner outer compressive
0
0
tensile
0 4,221.622
windward leeward
101.599
allowable
0 2,110.811
47
Nozzle 18 neck plate
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Material specification:
Cylinder
SA-240 304 (II-D Metric p. 86, ln. 25)
Impact test exempt per UHA-51(g)(coincident ratio = 0.0608)
Internal design pressure: P = 1.75 kg/cm2 @ 170 °C
External design pressure: Pe = 1.03 kg/cm2 @ 170 °C
Static liquid head:
Ps
=
0.28 kg/cm2 (SG = 1.19, Hs = 2,383 mm,Operating head)
Pth
=
0 kg/cm2
(SG = 0, Hs = 4,417.8 mm, Horizontal test head)
Corrosion allowance
Inner C = 0 mm
Design MDMT = 0 °C
Rated MDMT = -196 °C
Radiography:
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Longitudinal joint Full UW-11(a) Type 1
Top circumferential joint Full UW-11(a) Type 1
Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 9 kg
Capacity
Outer C = 0 mm
corr = 9 kg
New = 9.11 liters corr = 9.11 liters
ID
Length Lc
=
335.6 mm
=
103 mm
t
=
10 mm
Insulation thk:
80 mm
density:
240 kg/m3
Design thickness, (at 170 °C) UG-27(c)(1)
t
=
=
=
P*R / (S*E - 0.60*P) + Corrosion
2.03*167.8 / (1,305.24*0.85 - 0.60*2.03) + 0
0.31 mm
Maximum allowable working pressure, (at 170 °C) UG-27(c)(1)
P
=
S*E*t / (R + 0.60*t) - Ps
=
1,305.24*0.85*10 / (167.8 + 0.60*10) - 0.28
=
63.55 kg/cm2
Maximum allowable pressure, (at 17 °C) UG-27(c)(1)
P
=
=
S*E*t / (R + 0.60*t)
1,407.21*0.85*10 / (167.8 + 0.60*10)
=
68.82 kg/cm2
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
230 / 355.6
Do / t
=
355.6 / 0.97
From table G:
=
=
0.6468
364.9510
A
=
0.000308
From table HA-1 Metric: B
=
282.7501 kg/cm2
Weight:
2.7 kg
48
Pa
=
4*B / (3*(Do / t))
=
4*282.75 / (3*(355.6 / 0.97))
=
1.03 kg/cm2
Design thickness for external pressure Pa = 1.03 kg/cm2
ta
=
t + Corrosion
=
0.97 + 0 = 0.97 mm
Maximum Allowable External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
230 / 355.6
=
0.6468
Do / t
=
355.6 / 10
=
35.5600
A
=
0.011004
From table HA-1 Metric: B
=
794.9098 kg/cm2
From table G:
Pa
=
4*B / (3*(Do / t))
=
4*794.91 / (3*(355.6 / 10))
=
29.81 kg/cm2
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*10 / 172.8)*(1 - 172.8 / infinity)
=
2.8935%
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = 0.6*W / (2*p*Rm) + M / (p*Rm2)
= 0.60*10*-313.5 / (2*p*172.8) + 10000*1.9 / (p*172.82)
= -1.5276 kg/cm
a = Pv / (Pe*Do)
= 10*-1.5276 / (1.03*355.6)
= -0.0416
n=5
m = 1.23 / (L / Do)2
= 1.23 / (230 / 355.6)2
= 2.9402
Ratio Pe = (n2 - 1 + m + m*a) / (n2 - 1 + m)
= (52 - 1 + 2.9402 + 2.9402*-0.0416) / (52 - 1 + 2.9402)
= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*p*Rm) + M / (p*Rm2)
= 10*-313.5 / (2*p*172.8) + 10000*2.2 / (p*172.82)
= -2.6547 kg/cm
a = Pv / (Pe*Do)
= 10*-2.6547 / (1.03*355.6)
= -0.0723
n=5
49
Stiffener Rings
Stiffener ring calculations per UG-29(a)
Ring type:
Structural tee
Ring description:
T-200w x 200h x 25/25
SA-240 304 (II-D Metric p. 86, ln. 25)
Ring material:
1.03 kgf/cm2
External pressure:
Ring is located:
outside the vessel
Distance from ring neutral axis to datum:
2,500 mm
Ring corrosion allowance:
0 mm
Distance to previous support:
2,500 mm
Distance to next support:
2,500 mm
L / Do = 2,500 / 8,536 = 0.2929
Do / t = 8,536 / 17.41 = 490.3538
From Table G:
A = 0.000444
From Table HA-1 Metric: B = 379.92 kgf/cm2
Pa = 4*B / (3*(Do / t))
= 4*379.92 / (3*(8,536 / 17.41))
= 1.0331 kgf/cm2
B = 0.75*P*Do / (t + As / Ls)
= 0.75*1.03*8,536 / (17.41 + 9,380 / 2,500)
= 312.556 kgf/cm2
From Table HA-1 Metric: A = 0.00034056 (ring, 170°C)
Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9
= [8,5362*2,500*(17.41 + 9,380 / 2,500)*0.00034056] / 10.9 / 10000
= 12,042.2 cm4
I' for the composite corroded shell-ring cross section is 13,027.33 cm4
As I' >= Is' a T-200w x 200h x 25/25 stiffener is adequate for an external pressure of 1.03 kg f/cm2.
Check the stiffener ring attachment welds per UG-30
Fillet weld is:
Continuous both sides
Fillet weld leg size:
Vessel thickness at weld location, new:
7 mm
18 mm
Vessel corrosion allowance at weld location:
Stiffener thickness at weld location:
0 mm
25 mm
Per UG-30(f)(1) the minimum attachment weld size is 6 mm
The fillet weld size of 7 mm is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 1.03*2,500 / 10 = 258.25 kgf/cm
Radial shear load, V = 0.01*P*Ls*Do = 0.01*1.03*2,500*8,536 / 100 = 2,204.42 kgf
First moment of area, Q = 77.61*8.2 = 636.2125 cm3
50
Weld shear flow, q = V*Q / I' = 107.6568 kgf/cm
Combined weld load, fw = Sqr(258.24992 + 107.65682) = 279.79 kgf/cm
Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*1,305.236 = 717.88 kgf/cm2
Fillet weld size required to resist radial pressure and shear
= fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion
= 10*279.79*(25.4 + 0) / (717.88*50.8) + 0
= 1.95 mm
The fillet weld size of 7 mm is adequate to resist radial pressure and shear.
51
Stiffener Rings (Ring #2 in Group)
Stiffener ring calculations per UG-29(a)
Ring type:
Structural tee
Ring description:
T-200w x 200h x 25/25
SA-240 304 (II-D Metric p. 86, ln. 25)
Ring material:
1.03 kgf/cm2
External pressure:
Ring is located:
outside the vessel
Distance from ring neutral axis to datum:
5,000 mm
Ring corrosion allowance:
0 mm
Distance to previous support:
2,500 mm
Distance to next support:
2,500 mm
L / Do = 2,500 / 8,536 = 0.2929
Do / t = 8,536 / 17.41 = 490.3538
From Table G:
A = 0.000444
From Table HA-1 Metric: B = 379.92 kgf/cm2
Pa = 4*B / (3*(Do / t))
= 4*379.92 / (3*(8,536 / 17.41))
= 1.0331 kgf/cm2
B = 0.75*P*Do / (t + As / Ls)
= 0.75*1.03*8,536 / (17.41 + 9,380 / 2,500)
= 312.556 kgf/cm2
From Table HA-1 Metric: A = 0.00034056 (ring, 170°C)
Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9
= [8,5362*2,500*(17.41 + 9,380 / 2,500)*0.00034056] / 10.9 / 10000
= 12,042.2 cm4
I' for the composite corroded shell-ring cross section is 13,027.33 cm4
As I' >= Is' a T-200w x 200h x 25/25 stiffener is adequate for an external pressure of 1.03 kg f/cm2.
Check the stiffener ring attachment welds per UG-30
Fillet weld is:
Continuous both sides
Fillet weld leg size:
Vessel thickness at weld location, new:
7 mm
18 mm
Vessel corrosion allowance at weld location:
Stiffener thickness at weld location:
0 mm
25 mm
Per UG-30(f)(1) the minimum attachment weld size is 6 mm
The fillet weld size of 7 mm is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 1.03*2,500 / 10 = 258.25 kgf/cm
Radial shear load, V = 0.01*P*Ls*Do = 0.01*1.03*2,500*8,536 / 100 = 2,204.42 kgf
First moment of area, Q = 77.61*8.2 = 636.2125 cm3
52
Weld shear flow, q = V*Q / I' = 107.6568 kgf/cm
Combined weld load, fw = Sqr(258.24992 + 107.65682) = 279.79 kgf/cm
Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*1,305.236 = 717.88 kgf/cm2
Fillet weld size required to resist radial pressure and shear
= fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion
= 10*279.79*(25.4 + 0) / (717.88*50.8) + 0
= 1.95 mm
The fillet weld size of 7 mm is adequate to resist radial pressure and shear.
53
Stiffener Rings (Ring #3 in Group)
Stiffener ring calculations per UG-29(a)
Ring type:
Structural tee
Ring description:
T-200w x 200h x 25/25
SA-240 304 (II-D Metric p. 86, ln. 25)
Ring material:
1.03 kgf/cm2
External pressure:
Ring is located:
outside the vessel
Distance from ring neutral axis to datum:
7,500 mm
Ring corrosion allowance:
0 mm
Distance to previous support:
1,908.33 mm
Distance to next support:
2,500 mm
L / Do = 2,500 / 8,536 = 0.2929
Do / t = 8,536 / 17.41 = 490.3538
From Table G:
A = 0.000444
From Table HA-1 Metric: B = 379.92 kgf/cm2
Pa = 4*B / (3*(Do / t))
= 4*379.92 / (3*(8,536 / 17.41))
= 1.0331 kgf/cm2
B = 0.75*P*Do / (t + As / Ls)
= 0.75*1.03*8,536 / (17.41 + 9,380 / 2,204.17)
= 305.29 kgf/cm2
From Table HA-1 Metric: A = 0.00033267 (ring, 170°C)
Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9
= [8,5362*2,204.17*(17.41 + 9,380 / 2,204.17)*0.00033267] / 10.9 / 10000
= 10,618.12 cm4
I' for the composite corroded shell-ring cross section is 13,027.33 cm4
As I' >= Is' a T-200w x 200h x 25/25 stiffener is adequate for an external pressure of 1.03 kg f/cm2.
Check the stiffener ring attachment welds per UG-30
Fillet weld is:
Continuous both sides
Fillet weld leg size:
Vessel thickness at weld location, new:
Vessel corrosion allowance at weld location:
Stiffener thickness at weld location:
7 mm
18 mm
0 mm
25 mm
Per UG-30(f)(1) the minimum attachment weld size is 6 mm
The fillet weld size of 7 mm is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 1.03*2,204.17 / 10 = 227.69 kgf/cm
Radial shear load, V = 0.01*P*Ls*Do = 0.01*1.03*2,204.17*8,536 / 100 = 1,943.57 kgf
First moment of area, Q = 77.61*8.2 = 636.2125 cm3
54
Weld shear flow, q = V*Q / I' = 94.9174 kgf/cm
Combined weld load, fw = Sqr(227.69032 + 94.91742) = 246.68 kgf/cm
Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*1,305.236 = 717.88 kgf/cm2
Fillet weld size required to resist radial pressure and shear
= fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion
= 10*246.68*(25.4 + 0) / (717.88*50.8) + 0
= 1.72 mm
The fillet weld size of 7 mm is adequate to resist radial pressure and shear.
55
Stiffener Ring @ Cone Parts
Stiffener ring calculations per UG-29(a)
Ring type:
Structural tee
Ring description:
T-160x160x16/16
SA-240 304 (II-D Metric p. 86, ln. 25)
Ring material:
1.03 kgf/cm2
External pressure:
Ring is located:
outside the vessel
Distance from ring neutral axis to datum:
-2,500 mm
Ring corrosion allowance:
0 mm
Distance to previous support:
2,490 mm
Distance to next support:
3,400 mm
Le / Do = 1,833.85 / 5,232.82 = 0.3505
Do / te = 5,232.82 / 11.2 = 467.2636
From Table G:
A = 0.000399
From Table HA-1 Metric: B = 362.014 kgf/cm2
Pa = 4*B / (3*(Do / te))
= 4*362.014 / (3*(5,232.82 / 11.2000000))
= 1.033kgf/cm2
B = 0.75*P*Do / (t + As / Ls)
= 0.75*1.03*5,232.82 / (13.74 + 4,860 / 2,945)
= 263.484 kgf/cm2
From Table HA-1 Metric: A = 0.00028727 (ring, 170°C)
Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9
= [5,232.822*2,945*(13.74 + 4,860 / 2,945)*0.00028727] / 10.9 / 10000
= 3,270.14 cm4
I' for the composite corroded shell-ring cross section is 6,152.89 cm4
As I' >= Is' a T-160x160x16/16 stiffener is adequate for an external pressure of 1.03 kg f/cm2.
Check the stiffener ring attachment welds per UG-30
Fillet weld is:
Continuous both sides
Fillet weld leg size:
Vessel thickness at weld location, new:
7 mm
23 mm
Vessel corrosion allowance at weld location:
Stiffener thickness at weld location:
0 mm
16 mm
Per UG-30(f)(1) the minimum attachment weld size is 6 mm
The fillet weld size of 7 mm is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 1.03*2,945 / 10 = 304.22 kgf/cm
Radial shear load, V = 0.01*P*Ls*Do = 0.01*1.03*2,945*5,232.82 / 100 = 1,591.92 kgf
First moment of area, Q = 87.77*4.48 = 392.8759 cm3
56
Weld shear flow, q = V*Q / I' = 101.6476 kgf/cm
Combined weld load, fw = Sqr(304.21842 + 101.64762) = 320.75 kgf/cm
Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*1,305.236 = 717.88 kgf/cm2
Fillet weld size required to resist radial pressure and shear
= fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion
= 10*320.75*(25.4 + 0) / (717.88*50.8) + 0
= 2.23 mm
The fillet weld size of 7 mm is adequate to resist radial pressure and shear.
57
Stiffener Ring @ Cone Parts (Ring #2 in Group)
Stiffener ring calculations per UG-29(a)
Ring type:
Structural tee
Ring description:
T-160x160x16/16
SA-240 304 (II-D Metric p. 86, ln. 25)
Ring material:
1.03 kgf/cm2
External pressure:
Ring is located:
outside the vessel
Distance from ring neutral axis to datum:
-10 mm
Ring corrosion allowance:
0 mm
Distance to previous support:
10 mm
Distance to next support:
2,490 mm
Le / Do = 1,833.85 / 8,539.01 = 0.2148
Do / te = 8,539.01 / 16.12 = 529.6238
From Table G:
A = 0.000554
From Table HA-1 Metric: B = 410.398 kgf/cm2
Pa = 4*B / (3*(Do / te))
= 4*410.398 / (3*(8,539.01 / 16.1200000))
= 1.0332kgf/cm2
B = 0.75*P*Do / (t + As / Ls)
= 0.75*1.03*8,539.01 / (19.77 + 4,860 / 1,250)
= 279.589 kgf/cm2
From Table HA-1 Metric: A = 0.00030476 (ring, 170°C)
Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9
= [8,539.012*1,250*(19.77 + 4,860 / 1,250)*0.00030476] / 10.9 / 10000
= 6,029.94 cm4
I' for the composite corroded shell-ring cross section is 6,577.59 cm4
As I' >= Is' a T-160x160x16/16 stiffener is adequate for an external pressure of 1.03 kg f/cm2.
Check the stiffener ring attachment welds per UG-30
Fillet weld is:
Continuous both sides
Fillet weld leg size:
Vessel thickness at weld location, new:
7 mm
23 mm
Vessel corrosion allowance at weld location:
Stiffener thickness at weld location:
0 mm
16 mm
Per UG-30(f)(1) the minimum attachment weld size is 6 mm
The fillet weld size of 7 mm is adequate per UG-30(f)(1).
Radial pressure load, P*Ls = 1.03*1,250 / 10 = 129.12 kgf/cm
Radial shear load, V = 0.01*P*Ls*Do = 0.01*1.03*1,250*8,539.01 / 100 = 1,102.6 kgf
First moment of area, Q = 112.12*3.8 = 425.8343 cm3
58
Weld shear flow, q = V*Q / I' = 71.3825 kgf/cm
Combined weld load, fw = Sqr(129.12492 + 71.38252) = 147.54 kgf/cm
Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*1,305.236 = 717.88 kgf/cm2
Fillet weld size required to resist radial pressure and shear
= fw*(dweld segment + dtoe) / (Sw*dweld total) + corrosion
= 10*147.54*(25.4 + 0) / (717.88*50.8) + 0
= 1.03 mm
The fillet weld size of 7 mm is adequate to resist radial pressure and shear.
59
Upper Skirt
Material:
SA-240 304 (II-D Metric p. 86, ln. 25)
Design temperature, operating:
70 °C
Design temperature, vacuum:
70 °C
Inner diameter at top, new:
8,512 mm
Inner diameter at bottom, new:
8,512 mm
Overall length (includes base ring thickness):
700 mm
Corrosion allowance inside:
0 mm
Corrosion allowance outside:
0 mm
Weld joint efficiency top:
0.55
Weld joint efficiency bottom:
0.8
Nominal thickness, new:
12 mm
Skirt is attached to:
Shell
0 mm up from the bottom seam
Skirt attachment offset:
Skirt design thickness, largest of the following + corrosion = 9.16 mm
The governing condition is due to wind, compressive stress at the base, test & corroded.
The skirt thickness of 12 mm is adequate.
Vessel
Governing
Condition
(Stress)
Skirt
Location
Wind
operating, corroded (+)
top
Wind
operating, corroded (-)
Wind
Loading
Temperature
(°C)
Allowable Calculated Required
Stress
Stress/E
thickness
(kgf/cm2)
(kgf/cm2)
70
341.07
-14.1
0.5
bottom
70
341.07
53.98
1.9
empty, corroded (+)
top
17
346.89
-12.21
0.42
Wind
empty, corroded (-)
bottom
17
346.89
50.83
1.76
Wind
test, corroded (+)
top
17
346.89
-145.78
5.04
Wind
test, corroded (-)
bottom
17
346.89
264.77
9.16
Wind
vacuum, corroded (+)
top
70
341.07
-14.1
0.5
Wind
vacuum, corroded (-)
bottom
70
341.07
53.98
1.9
Seismic
operating, corroded (+)
top
70
341.07
-19.43
0.68
Seismic
operating, corroded (-)
bottom
70
341.07
75.23
2.65
Seismic
empty, corroded (+)
top
17
346.89
-15.26
0.53
Seismic
empty, corroded (-)
bottom
17
346.89
72.31
2.5
Seismic
vacuum, corroded (+)
top
70
341.07
-19.43
0.68
Seismic
vacuum, corroded (-)
bottom
70
341.07
75.23
2.65
(mm)
Loading due to wind, test & corroded
Windward side (tensile)
Required thickness, tensile stress at base:
t
=
-0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
=
-0.6*824,036.88 / (p*8,524*346.891/100*1) + 4*1e3*57,067.9 / (p*8,5242*346.891/100*1)
=
5.03 mm
Required thickness, tensile stress at the top:
t
=
-0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt2*St*E)
60
=
-0.6*822,231.27 / (p*8,524*346.891/100*1) + 4*1e3*53,026.1 / (p*8,5242*346.891/100*1)
=
5.04 mm
Leeward side (compressive)
Required thickness, compressive stress at base:
t
=
W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
=
824,036.88 / (p*8,524*346.891/100*1) + 4*1e3*57,067.9 / (p*8,5242*346.891/100*1)
=
9.16 mm
Required thickness, compressive stress at the top:
t
=
Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt2*Sc*Ec)
=
822,231.27 / (p*8,524*346.891/100*1) + 4*1e3*53,026.1 / (p*8,5242*346.891/100*1)
=
9.12 mm
61
Lower Skirt
Material:
SA-283 C (II-D Metric p. 6, ln. 41)
Design temperature, operating:
21 °C
Design temperature, vacuum:
21 °C
Inner diameter at top, new:
8,510 mm
Inner diameter at bottom, new:
8,510 mm
Overall length (includes base ring thickness): 2,770 mm
Corrosion allowance inside:
0 mm
Corrosion allowance outside:
0 mm
Weld joint efficiency top:
0.8
Weld joint efficiency bottom:
0.8
Nominal thickness, new:
13 mm
Skirt is attached to:
Upper Skirt
Skirt attachment offset:
0 mm up from the bottom seam
Skirt design thickness, largest of the following + corrosion = 8.41 mm
The governing condition is due to wind, compressive stress at the base, test & corroded.
The skirt thickness of 13 mm is adequate.
Vessel
Governing
Condition
(Stress)
Skirt
Location
Wind
operating, corroded (+)
top
Wind
operating, corroded (-)
Wind
Loading
Temperature
(°C)
Allowable Calculated Required
Stress
Stress/E
thickness
(kgf/cm2)
(kgf/cm2)
21
384.95
-12.41
0.42
bottom
21
384.95
56.01
1.89
empty, corroded (+)
top
17
384.95
-10.67
0.36
Wind
empty, corroded (-)
bottom
17
384.95
53.11
1.79
Wind
test, corroded (+)
top
17
384.95
-134.35
4.54
Wind
test, corroded (-)
bottom
17
384.95
249.01
8.41
Wind
vacuum, corroded (+)
top
21
384.95
-12.41
0.42
Wind
vacuum, corroded (-)
bottom
21
384.95
56.01
1.89
Seismic
operating, corroded (+)
top
21
384.95
-16.13
0.54
Seismic
operating, corroded (-)
bottom
21
384.95
81.38
2.75
Seismic
empty, corroded (+)
top
17
384.95
-12.44
0.42
Seismic
empty, corroded (-)
bottom
17
384.95
78.01
2.63
Seismic
vacuum, corroded (+)
top
21
384.95
-16.13
0.54
Seismic
vacuum, corroded (-)
bottom
21
384.95
81.38
2.75
(mm)
Loading due to wind, test & corroded
Windward side (tensile)
Required thickness, tensile stress at base:
t
=
-0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
=
-0.6*831,521.27 / (p*8,523*384.955/100*1) + 4*1e3*75,120.1 / (p*8,5232*384.955/100*1)
=
4.5 mm
Required thickness, tensile stress at the top:
t
=
-0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt2*St*E)
62
=
-0.6*824,036.88 / (p*8,523*384.955/100*1) + 4*1e3*57,067.9 / (p*8,5232*384.955/100*1)
=
4.54 mm
Leeward side (compressive)
Required thickness, compressive stress at base:
t
=
W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
=
831,521.27 / (p*8,523*384.955/100*1) + 4*1e3*75,120.1 / (p*8,5232*384.955/100*1)
=
8.41 mm
Required thickness, compressive stress at the top:
t
=
Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt2*Sc*Ec)
=
824,036.88 / (p*8,523*384.955/100*1) + 4*1e3*57,067.9 / (p*8,5232*384.955/100*1)
=
8.25 mm
63
Skirt Base Ring
Inputs
Base configuration
single base plate
Foundation compressive strength
116.569 kgf/cm2
Concrete ultimate 28-day strength
210 kgf/cm2
Anchor bolt material
SA 307-B
Anchor bolt allowable stress, Sb
1,019.715 kgf/cm2
Bolt circle, BC
8,640 mm
Anchor bolt corrosion allowance (applied to root radius)
0 mm
Anchor bolt clearance
3 mm
Base plate material
SA 283-C
Base plate allowable stress, Sp
1,406.138 kgf/cm2
Base plate inner diameter, Di
8,480 mm
Base plate outer diameter, Do
8,720 mm
Base plate thickness, tb
25 mm
Gusset separation, w
125 mm
Gusset height, h
200 mm
Gusset thickness, tg
13 mm
Initial bolt preload
0% (0 kgf/cm2)
Number of bolts, N
20
Bolt size and type
20 mm
Bolt root area (corroded), Ab
2.35 cm2
Diameter of anchor bolt holes, db
23 mm
Results Summary
Load
Vessel
condition
Base M
(kgf-m)
W
(kg)
Required
bolt area
(cm2)
tr
Base
(mm)
Foundation
bearing
stress
(kgf/cm2)
Wind
operating, corroded
110,965
143,565.1
0 10.28
6.0533
Wind
operating, new
110,965
143,565.1
0 10.28
6.0533
Wind
empty, corroded
110,965
133,459.9
0 10.01
5.7408
Wind
empty, new
110,965
133,459.9
0 10.01
5.7408
Wind
test, corroded
75,120.1
832,192.1
0 21.64
26.8266
Wind
vacuum, corroded
110,965
143,565.1
0 10.28
6.0533
Seismic
operating, corroded
238,187.9
143,565.1
0 12.39
8.7914
Seismic
operating, new
238,187.9
143,565.1
0 12.39
8.7914
64
Seismic
empty, corroded
239,091.6
133,459.9
0 12.13
8.4296
Seismic
empty, new
239,091.6
133,459.9
0 12.13
8.4296
Seismic
vacuum, corroded
238,187.9
143,565.1
0 12.39
8.7914
Anchor bolt load (governing)
P = -W / N + 4 * M / (N*BC)
= -133,459.91 / 20 + 4 * 239,091.6 / (20*8.64)
= -1,138.46 kgf
The anchor bolts are satisfactory (no net uplift on anchor bolt)
Foundation bearing stress (governing)
Ac = p*(Do2 - Di2) / 4 - N*p*db2 / 4
= p*(8722 - 8482) / 4 - 20*p*2.32 / 4
= 32,338.14 cm2
Ic = p*(Do4 - Di4) / 64
= p*(8724 - 8484) / 64
= 2.9979E+09 cm4
fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic
= 20*2.3484*0 / 32,338.14 + 832,192.13 / 32,338.14 + 10*75,120.1 / 2*8,720 / 2.9979E+09
= 26.827 kgf/cm2
As fc <= 116.569 kgf/cm2 the base plate width is satisfactory.
Base plate required thickness (governing)
From Brownell & Young, Table 10.3:, l / b = 0.0763
Mx = 0.01*0.0018*26.827*1,206.172 = 694.7 kgf
My = 0.01*-0.4835*26.827*922 = -1,097.9 kgf
tr = (6*Mmax / Sp)0.5
= (100*6*1,097.88 / 1,406.138)0.5
= 21.64 mm
The base plate thickness is satisfactory.
Base plate bolt load (Jawad & Farr eq. 12.13, governing)
Bolt load = Ab*fs =2.3484*0 = 0 kgf
tr= (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5
= (3.91*100*0 / (2,108.998*(2*92 / 125+125 / (2*52)-23*(2 / 125+1 / (2*52)))))0.5
= 0 mm
The base plate thickness is satisfactory.
Check skirt for gusset reaction (Jawad & Farr eq. 12.14)
Sr = 1.5*F*b / (gussets*p*tsk2*h)
= 1.5*100*0*92 / (2*p*132*200)
= 0 kgf/cm2
65
As Sr <= 1,651.939 kgf/cm2 the skirt thickness is adequate to resist the gusset reaction.
66
Manhole (1 (24"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 18 mm
Leg41 =
9 mm
tw(upper) = 18 mm
Leg42 =
13 mm
Dp =
1,150 mm
te =
18 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
Shell
Orientation:
120°
Nozzle center line offset to datum line:
750 mm
End of nozzle to shell center:
4,548 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
Yes
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Inside diameter, new:
589.6 mm
Nominal wall thickness:
10 mm
Corrosion allowance:
0 mm
Projection available outside vessel, Lpr:
127.6 mm
Projection available outside vessel to flange face, Lf: 280 mm
Local vessel minimum thickness:
18 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
Reinforcing Pad
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Diameter:
1,150 mm
Is split:
No
ASME B16.5-2009 Flange
Description:
NPS 24 Class 150 WN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
Yes
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
67
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Circumferential joint radiography:
Full UW-11(a) Type 1
68
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
92.3545 121.2113 13.7735 7.6651 -- 97.272 2.5006
treq
tmin
1.09
10
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
Path 1-1
Weld load
Path 2-2
Weld load
Path 3-3
strength
W2-2
strength
W3-3
strength
103,177
236,245
15,761
388,075
144,931
316,670
140,232
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Status
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
9.1 weld size is adequate
Nozzle to pad groove (Upper)
7
18 weld size is adequate
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.1008).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(589.6, 294.8 + (10 - 0) + (18 - 0))
=
589.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(10 - 0) + 18)
=
43 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
4.8*294.8 / (1,305.2357*1 - 0.6*4.8)
=
1.09 mm
Required thickness tr from UG-37(a)
tr
=
P*R / (S*E - 0.6*P)
=
4.8*4,250 / (1,305.2357*1 - 0.6*4.8)
=
15.66 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
69
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(589.6*15.66*1 + 2*10*15.66*1*(1 - 1)) / 100
=
92.3545 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 13.7735 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(589.6*(1*18 - 1*15.66) - 2*10*(1*18 - 1*15.66)*(1 - 1)) / 100
=
13.7735 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 10)*(1*18 - 1*15.66) - 2*10*(1*18 - 1*15.66)*(1 - 1)) / 100
=
1.3084 cm2
A2 = smaller of the following= 7.6651 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(10 - 1.09)*1*18) / 100
=
8.0213 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(10 - 1.09)*(2.5*10 + 18)*1) / 100
=
7.6651 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(132*1) / 100
=
1.6903 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,150 - 589.6 - 2*10)*18*1) / 100
=
97.272 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
13.7735 + 7.6651 + 0.8103 + 1.6903 + 97.272
=
121.2113 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet:
tmin = lesser of 19 mm or tn or te = 10 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
70
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*13 = 9.1 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*294.8 / (1,305.2357*1 - 0.6*4.8) + 0
=
1.09 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 1.09 , 0 ]
=
1.09 mm
Available nozzle wall thickness new, tn = 10 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,305.236 = 965.874 kgf/cm2
Nozzle wall in shear:
0.7*1,305.236 = 913.665 kgf/cm2
Inner fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Outer fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Upper groove weld in tension: 0.74*1,305.236 = 965.874 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*609.6*9*639.566 = 55,117.91 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*1,150*13*639.566 = 150,191.89 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*599.6*10*913.665 = 86,053.57 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*609.6*18*965.874 = 166,478.59 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*609.6*18*965.874 = 166,478.59 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(9,235.4508 - 1,377.3521 + 2*10*1*(1*18 - 1*15.66))*1,305.236
=
103,176.63 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(766.5146 + 9,727.2 + 81.0321 + 169.0319)*1,305.236
=
140,231.76 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
71
=
(766.5146 + 0 + 81.0321 + 0 + 2*10*18*1)*1,305.236
=
15,761.34 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(766.5146 + 0 + 9,727.2 + 81.0321 + 169.0319 + 0 + 2*10*18*1)*1,305.236
=
144,930.62 kgf
Load for path 1-1 lesser of W or W1-1 = 103,176.63 kgf
Path 1-1 through (2) & (3) = 150,191.89 + 86,053.57 = 236,245.46 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 15,761.34 kgf
Path 2-2 through (1), (4), (6) = 55,117.91 + 166,478.59 + 166,478.59 = 388,075.1 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 103,176.63 kgf
Path 3-3 through (2), (4) = 150,191.89 + 166,478.59 = 316,670.49 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*10 / 299.8)*(1 - 299.8 / infinity)
=
1.6678%
72
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
96.1134 117.4152 10.0148 7.6277 -- 97.272 2.5006
treq
tmin
1.13
10
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
Path 1-1
Weld load
Path 2-2
Weld load
Path 3-3
strength
W2-2
strength
W3-3
strength
121,637
254,702
16,940
418,393
156,201
341,410
151,135
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Status
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
9.1 weld size is adequate
Nozzle to pad groove (Upper)
7
18 weld size is adequate
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.1008).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(589.6, 294.8 + (10 - 0) + (18 - 0))
=
589.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(10 - 0) + 18)
=
43 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
5.3851*294.8 / (1,407.2073*1 - 0.6*5.3851)
=
1.13 mm
Required thickness tr from UG-37(a)
tr
=
P*R / (S*E - 0.6*P)
=
5.3851*4,250 / (1,407.2073*1 - 0.6*5.3851)
=
16.3 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
73
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(589.6*16.3*1 + 2*10*16.3*1*(1 - 1)) / 100
=
96.1134 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 10.0148 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(589.6*(1*18 - 1*16.3) - 2*10*(1*18 - 1*16.3)*(1 - 1)) / 100
=
10.0148 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 10)*(1*18 - 1*16.3) - 2*10*(1*18 - 1*16.3)*(1 - 1)) / 100
=
0.951 cm2
A2 = smaller of the following= 7.6277 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(10 - 1.13)*1*18) / 100
=
7.9826 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(10 - 1.13)*(2.5*10 + 18)*1) / 100
=
7.6277 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(132*1) / 100
=
1.6903 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,150 - 589.6 - 2*10)*18*1) / 100
=
97.272 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
10.0148 + 7.6277 + 0.8103 + 1.6903 + 97.272
=
117.4152 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet:
tmin = lesser of 19 mm or tn or te = 10 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
74
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*13 = 9.1 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*294.8 / (1,407.2073*1 - 0.6*5.3851) + 0
=
1.13 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 1.13 , 0 ]
=
1.13 mm
Available nozzle wall thickness new, tn = 10 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,407.207 = 1,041.333 kgf/cm2
Nozzle wall in shear:
0.7*1,407.207 =
985.045 kgf/cm2
Inner fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Outer fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Upper groove weld in tension: 0.74*1,407.207 = 1,041.333 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*609.6*9*689.532 = 59,424 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*1,150*13*689.532 = 161,925.63 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*599.6*10*985.045 = 92,776.5 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*609.6*18*1,041.333 = 179,484.73 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*609.6*18*1,041.333 = 179,484.73 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(9,611.3444 - 1,001.4819 + 2*10*1*(1*18 - 1*16.3))*1,407.207
=
121,636.76 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(762.7727 + 9,727.2 + 81.0321 + 169.0319)*1,407.207
=
151,134.71 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
75
=
(762.7727 + 0 + 81.0321 + 0 + 2*10*18*1)*1,407.207
=
16,940.04 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(762.7727 + 0 + 9,727.2 + 81.0321 + 169.0319 + 0 + 2*10*18*1)*1,407.207
=
156,200.66 kgf
Load for path 1-1 lesser of W or W1-1 = 121,636.76 kgf
Path 1-1 through (2) & (3) = 161,925.63 + 92,776.5 = 254,702.14 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 16,940.04 kgf
Path 2-2 through (1), (4), (6) = 59,424 + 179,484.73 + 179,484.73 = 418,393.47 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 121,636.76 kgf
Path 3-3 through (2), (4) = 161,925.63 + 179,484.73 = 341,410.37 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
76
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.1 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
53.0639 107.0597 -- 7.2871 -- 97.272 2.5006
treq
tmin
1.53
10
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Status
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
9.1 weld size is adequate
Nozzle to pad groove (Upper)
7
18 weld size is adequate
Calculations for external pressure 1.1 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(589.6, 294.8 + (10 - 0) + (18 - 0))
=
589.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(10 - 0) + 18)
=
43 mm
Nozzle required thickness per UG-28 trn = 1.53 mm
From UG-37(d)(1) required thickness tr = 18 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
=
(0.5*(589.6*18*1 + 2*10*18*1*(1 - 1))) / 100
=
53.0639 cm2
77
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(589.6*(1*18 - 1*18) - 2*10*(1*18 - 1*18)*(1 - 1)) / 100
=
0 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 10)*(1*18 - 1*18) - 2*10*(1*18 - 1*18)*(1 - 1)) / 100
=
0 cm2
A2 = smaller of the following= 7.2871 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(10 - 1.53)*1*18) / 100
=
7.6258 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(10 - 1.53)*(2.5*10 + 18)*1) / 100
=
7.2871 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(132*1) / 100
=
1.6903 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,150 - 589.6 - 2*10)*18*1) / 100
=
97.272 cm2
A1 + A2 + A41 + A42 + A5
Area =
=
0 + 7.2871 + 0.8103 + 1.6903 + 97.272
=
107.0597 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
tmin = lesser of 19 mm or tn or te = 10 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*13 = 9.1 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
ta UG-28
=
1.53 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
78
=
max[ 1.53 , 0 ]
=
1.53 mm
Available nozzle wall thickness new, tn = 10 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
290.9 / 609.6
Do / t
=
609.6 / 1.53
From table G:
=
0.4772
=
399.2888
A
=
0.000358
From table HA-1 Metric: B
=
328.096 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*328.1 / (3*(609.6 / 1.53))
=
1.1 kg/cm2
Design thickness for external pressure Pa = 1.1 kg/cm2
ta
=
t + Corrosion
=
1.53 + 0 = 1.53 mm
79
Vapor outlet to EA501 (7 (54"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 23.8 mm
Leg41 =
9 mm
tw(upper) = 28 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
Top Ellipsoidal Head
Orientation:
0°
End of nozzle to datum line:
11,260 mm
Calculated as hillside:
No
Distance to head center, R:
0 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Inside diameter, new:
1,335.6 mm
Nominal wall thickness:
18 mm
Corrosion allowance:
0 mm
Projection available outside vessel, Lpr: 439.05 mm
Local vessel minimum thickness:
23.8 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
Reinforcing Pad
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Diameter:
1,850 mm
Is split:
No
Leg42 =
20 mm
Dp =
1,850 mm
te =
28 mm
80
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
187.9403 287.1859 129.9326 18.4909 -- 133.952 4.8103
treq
tmin
8.33
18
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
80,285
205,253
Path 1-1
Weld load
Path 2-2
Weld load
Path 3-3
strength
W2-2
strength
W3-3
strength
721,392
36,376
1,201,964
216,436
866,986
UW-16 Weld Sizing Summary
Required weld Actual weld
Weld description
size (mm)
Nozzle to pad fillet (Leg41)
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
Status
size (mm)
6
6.3 weld size is adequate
9.5
14 weld size is adequate
12.6
28 weld size is adequate
WRC 107
Load Case
Load case 1
P
Pr
M1
V2
M2
V1
Mt
(kgf/cm2)
(kgf)
(kgf-m)
(kgf)
(kgf-m)
(kgf)
(kgf-m)
Stress
(kgf/cm2)
(kgf/cm2)
Primary
Stress
Stress
(kgf/cm2)
(kgf/cm2)
Over
stressed
0
0
26,761.3
1,692.006
3,915.707
962.994
1,957.854
No
0
6,607.76
29,140.1
8,259.7
0
0
26,761.3
-1,113.029
3,915.707
-240.028
1,957.854
No
4.8
-6,607.76
29,140.1
8,259.7
0
0
26,761.3
1,888.303
3,915.707
1,015.302
1,957.854
No
0
-6,607.76
29,140.1
8,259.7
0
0
26,761.3
1,113.029
3,915.707
240.028
1,957.854
No
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.1514).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(1,335.6, 667.8 + (18 - 0) + (23.8 - 0))
=
1,335.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
Stress
Local
Primary
8,259.7
Shut Down)
=
Comb
Allow
29,140.1
Load case 1 (Pr
Reversed) (Hot
LR
Comb
Max
Local
6,607.76
Shut Down)
Reversed)
Allow
4.8
Load case 1 (Hot
Load case 1 (Pr
Max
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(18 - 0) + 28)
=
59.5 mm
81
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
4.8*667.8 / (1,305.2357*1 - 0.6*4.8)
=
2.46 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
4.8*0.9*8,500 / (2*1,305.2357*1 - 0.2*4.8)
=
14.07 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(1,335.6*14.07*1 + 2*18*14.07*1*(1 - 1)) / 100
=
187.9403 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 129.9326 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(1,335.6*(1*23.8 - 1*14.07) - 2*18*(1*23.8 - 1*14.07)*(1 - 1)) / 100
=
129.9326 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 18)*(1*23.8 - 1*14.07) - 2*18*(1*23.8 - 1*14.07)*(1 - 1)) / 100
=
8.1329 cm2
A2 = smaller of the following= 18.4909 cm2
A41
A42
=
5*(tn - trn)*fr2*t
=
(5*(18 - 2.46)*1*23.8) / 100
=
18.4909 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(18 - 2.46)*(2.5*18 + 28)*1) / 100
=
22.6864 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
82
A5
=
(202*1) / 100
=
4 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,850 - 1,335.6 - 2*18)*28*1) / 100
=
133.952 cm2
A1 + A2 + A41 + A42 + A5
Area =
=
129.9326 + 18.4909 + 0.8103 + 4 + 133.952
=
287.1859 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
tmin = lesser of 19 mm or tn or te = 18 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*667.8 / (1,305.2357*1 - 0.6*4.8) + 0
=
2.46 mm
ta UG-22
=
2.94 mm
ta
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 2.46 , 2.94 ]
=
2.94 mm
tb1
=
15.64 mm
tb1
=
max[ tb1 , tb UG16 ]
=
max[ 15.64 , 1.5 ]
=
15.64 mm
=
min[ tb3 , tb1 ]
=
min[ 8.33 , 15.64 ]
=
8.33 mm
=
max[ ta , tb ]
=
max[ 2.94 , 8.33 ]
=
8.33 mm
tb
tUG-45
Available nozzle wall thickness new, tn = 18 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
83
Groove weld in tension:
0.74*1,305.236 = 965.874 kgf/cm2
Nozzle wall in shear:
0.7*1,305.236 = 913.665 kgf/cm2
Inner fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Outer fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Upper groove weld in tension: 0.74*1,305.236 = 965.874 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*1,371.6*9*639.566 = 124,015.3 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*1,850*20*639.566 = 371,712.38 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*1,353.6*18*913.665 = 349,679.45 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*23.8*965.874 = 495,273.82 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*28*965.874 = 582,675.08 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(18,794.03 - 12,993.26 + 2*18*1*(1*23.8 - 1*14.07))*1,305.236
=
80,284.95 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(1,849.0931 + 13,395.2 + 81.0321 + 399.9992)*1,305.236
=
205,252.74 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(1,849.0931 + 0 + 81.0321 + 0 + 2*18*23.8*1)*1,305.236
=
36,375.98 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(1,849.0931 + 0 + 13,395.2 + 81.0321 + 399.9992 + 0 + 2*18*23.8*1)*1,305.236
=
216,436.01 kgf
Load for path 1-1 lesser of W or W1-1 = 80,284.95 kgf
Path 1-1 through (2) & (3) = 371,712.38 + 349,679.45 = 721,391.82 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 36,375.98 kgf
Path 2-2 through (1), (4), (6) = 124,015.3 + 495,273.82 + 582,675.08 = 1,201,964.2 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 80,284.95 kgf
Path 3-3 through (2), (4) = 371,712.38 + 495,273.82 = 866,986.19 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
84
WRC 107 Load case 1 (Pr Reversed)
Applied Loads
Pr = -6,607.76 kgf
Radial load:
Circumferential moment: M1 = 29,140.22 kgf-m
Circumferential shear:
V2 =
Longitudinal moment:
M2 =
0 kgf-m
Longitudinal shear:
V1 =
0 kgf
Torsion moment:
Mt = 26,761.42 kgf-m
Internal pressure:
8,259.7 kgf
4.8 kgf/cm2
P=
Rm = 7,700.15 mm
Mean dish radius:
Local head thickness:
T=
23.8 mm
Sy = 1,519.38 kgf/cm2
Head yield stress:
Design factor:
3
Maximum stresses due to the applied loads at the pad edge (includes pressure)
U = ro / Sqr(Rm*T) = 925 / Sqr(7,700.15*23.8) = 2.161
Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)
Local pressure stress = I*P*Ri / (2*T) =775.274 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 1,888.3 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,015.3 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure
value
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
SR-2*
Nx*T / P 0.0224
26.154
26.154
26.154
26.154
26.154
26.154
26.154 26.154
SR-2
Mx / P 0.0103
72.065
-72.065
72.065
-72.065
72.065
-72.065
72.065 -72.065
SR-3*
Nx*T*(Rm*T)0.5 / M1 0.0178
0
0
0
0 -213.874
-213.874
213.874 213.874
SR-3
Mx*(Rm*T)0.5 / M1 0.0111
0
0
0
0 -800.374
800.374
800.374 -800.374
SR-3*
Nx*T*(Rm*T)0.5 / M2 0.0178
0
0
0
0
0
0
0 0
SR-3
Mx*(Rm*T)0.5 / M2 0.0111
0
0
0
0
0
0
0 0
Pressure stress*
775.274 775.274 775.274 775.274
775.274
775.274
775.274 775.274
Total Ox stress
873.493 729.364 873.493 729.364 -140.754 1,315.864
1,887.74 142.864
Membrane Ox stress*
801.428 801.428 801.428 801.428
587.555
587.555 1,015.302 1,015.302
SR-2*
Ny*T / P 0.0068
7.945
7.945
7.945
7.945
7.945
7.945
SR-2
My / P 0.0031
21.725
-21.725
21.725
-21.725
21.725
-21.725
7.945 7.945
21.725 -21.725
85
SR-3*
Ny*T*(Rm*T)0.5 / M1 0.0052
0
0
0
0
-62.503
-62.503
62.503 62.503
SR-3
My*(Rm*T)0.5 / M1 0.0034
0
0
0
0
-245.16
245.16
245.16 -245.16
SR-3*
Ny*T*(Rm*T)0.5 / M2 0.0052
0
0
0
0
0
0
0 0
SR-3
My*(Rm*T)0.5 / M2 0.0034
0
0
0
0
0
0
0 0
Pressure stress*
775.274 775.274 775.274 775.274
775.274
775.274
Total Oy stress
804.944 761.494 804.944 761.494
497.281
944.151 1,112.607 578.837
Membrane Oy stress*
783.219 783.219 783.219 783.219
720.716
720.716
845.722 845.722
20.881 20.881
775.274 775.274
Shear from Mt
20.881
20.881
20.881
20.881
20.881
20.881
Shear from V1
0
0
0
0
0
0
0 0
Shear from V2
11.952
11.952
-11.952
-11.952
0
0
0 0
Total Shear stress
32.833
32.833
8.929
8.929
20.881
20.881
Combined stress
886.711 781.953 874.618 763.814
(PL+Pb+Q)
20.881 20.881
639.371 1,317.059 1,888.303 579.821
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
U = ro / Sqr(Rm*T) = 685.8 / Sqr(7,700.15*51.8) = 1.086
Pressure stress intensity factor, I = 0.9444 (derived from Division 2 Part 4.5)
Local pressure stress = I*P*Ri / (2*T) =732.176 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 1,571.85 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 866.39 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure
value
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
SR-2*
Nx*T / P 0.0604
14.905
14.905
14.905
14.905
14.905
14.905
14.905 14.905
SR-2
Mx / P 0.0316
46.684
-46.684
46.684
-46.684
46.684
-46.684
46.684 -46.684
SR-3*
Nx*T*(Rm*T)0.5 / M1 0.0694
0
0
0
0 -119.311
-119.311
119.311 119.311
SR-3
Mx*(Rm*T)0.5 / M1 0.0638
0
0
0
0 -658.284
658.284
658.284 -658.284
SR-3*
Nx*T*(Rm*T)0.5 / M2 0.0694
0
0
0
0
0
0
0 0
SR-3
Mx*(Rm*T)0.5 / M2 0.0638
0
0
0
0
0
0
0 0
Pressure stress*
732.176 732.176 732.176 732.176
732.176
732.176
Total Ox stress
793.765 700.397 793.765 700.397
16.171
732.176 732.176
1,239.37 1,571.359 161.425
86
Membrane Ox stress*
747.081 747.081 747.081 747.081
627.77
627.77
866.392 866.392
SR-2*
Ny*T / P 0.0187
4.57
4.57
4.57
4.57
4.57
4.57
SR-2
My / P 0.0095
14.061
-14.061
14.061
-14.061
14.061
-14.061
14.061 -14.061
SR-3*
Ny*T*(Rm*T)0.5 / M1 0.0209
0
0
0
0
-35.927
-35.927
35.927 35.927
SR-3
My*(Rm*T)0.5 / M1 0.0192
0
0
0
0 -198.125
198.125
198.125 -198.125
SR-3*
Ny*T*(Rm*T)0.5 / M2 0.0209
0
0
0
0
0
0
0 0
SR-3
My*(Rm*T)0.5 / M2 0.0192
0
0
0
0
0
0
0 0
Pressure stress*
732.176 732.176 732.176 732.176
732.176
732.176
732.176 732.176
Total Oy stress
750.807 722.685 750.807 722.685
516.756
884.883
984.859 560.487
Membrane Oy stress*
736.746 736.746 736.746 736.746
700.819
700.819
772.673 772.673
17.506 17.506
4.57 4.57
Shear from Mt
17.506
17.506
17.506
17.506
17.506
17.506
Shear from V1
0
0
0
0
0
0
0 0
Shear from V2
7.382
7.382
-7.382
-7.382
0
0
0 0
Total Shear stress
24.889
24.889
10.124
10.124
17.506
17.506
Combined stress
(PL+Pb+Q)
805.155 738.785 796.015 726.622
17.506 17.506
517.388 1,240.214 1,571.851 561.26
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
sn (Pm) = P*Ri / (2*tn) - Pr / (p*(Ro2 - Ri2)) + M*Ro / I
= 4.8*667.8 / (2*18) - -6,607.76 / (p*(685.82 - 667.82))*100 + 2.914E+07*685.8 / 1.7534E+10*100
= 211.648 kgf/cm2
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 1,305.236 kgf/cm2)
Shear stress in the nozzle wall due to external loads
sshear = (V12 + V22)0.5 / (p*Ri*tn)*100
= (02 + 8,259.72)0.5 / (p*667.8*18)*100
= 21.872 kgf/cm2
storsion = Mt / (2*p*Ri2*tn)*100000
= 26,761.3 / (2*p*667.82*18)*100000
= 53.06 kgf/cm2
stotal = sshear + storsion
= 21.872 + 53.06
= 74.932 kgf/cm2
UG-45: The total combined shear stress (74.932 kgf/cm2) ≤ allowable (0.7*Sn = 0.7*1,305.236 = 913.665 kgf/cm2)
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*18 / 676.8)*(1 - 676.8 / infinity)
=
1.3298%
87
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
195.5732 279.4356 122.2998 18.3735 -- 133.952 4.8103
treq
tmin
8.33
18
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
Path 1-1
Weld load
Path 2-2
Weld load
Path 3-3
strength
W2-2
strength
W3-3
strength
107,750
777,751
39,053
1,295,868
233,180
934,719
221,123
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
Status
6
6.3 weld size is adequate
9.5
14 weld size is adequate
12.6
28 weld size is adequate
Nozzle to pad fillet (Leg41)
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
size (mm)
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.1514).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(1,335.6, 667.8 + (18 - 0) + (23.8 - 0))
=
1,335.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(18 - 0) + 28)
=
59.5 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
5.3851*667.8 / (1,407.2073*1 - 0.6*5.3851)
=
2.56 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
5.3851*0.9*8,500 / (2*1,407.2073*1 - 0.2*5.3851)
=
14.64 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
88
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(1,335.6*14.64*1 + 2*18*14.64*1*(1 - 1)) / 100
=
195.5732 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 122.2998 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(1,335.6*(1*23.8 - 1*14.64) - 2*18*(1*23.8 - 1*14.64)*(1 - 1)) / 100
=
122.2998 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 18)*(1*23.8 - 1*14.64) - 2*18*(1*23.8 - 1*14.64)*(1 - 1)) / 100
=
7.6555 cm2
A2 = smaller of the following= 18.3735 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(18 - 2.56)*1*23.8) / 100
=
18.3735 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(18 - 2.56)*(2.5*18 + 28)*1) / 100
=
22.5419 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(202*1) / 100
=
4 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,850 - 1,335.6 - 2*18)*28*1) / 100
=
133.952 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
122.2998 + 18.3735 + 0.8103 + 4 + 133.952
=
279.4356 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet:
tmin = lesser of 19 mm or tn or te = 18 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
89
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*667.8 / (1,407.2073*1 - 0.6*5.3851) + 0
=
2.56 mm
ta UG-22
=
2.86 mm
ta
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 2.56 , 2.86 ]
=
2.86 mm
tb1
=
16.27 mm
tb1
=
max[ tb1 , tb UG16 ]
=
max[ 16.27 , 1.5 ]
=
16.27 mm
=
min[ tb3 , tb1 ]
tb
tUG-45
=
min[ 8.33 , 16.27 ]
=
8.33 mm
=
max[ ta , tb ]
=
max[ 2.86 , 8.33 ]
=
8.33 mm
Available nozzle wall thickness new, tn = 18 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,407.207 = 1,041.333 kgf/cm2
Nozzle wall in shear:
0.7*1,407.207 =
985.045 kgf/cm2
Inner fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Outer fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Upper groove weld in tension: 0.74*1,407.207 = 1,041.333 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*1,371.6*9*689.532 = 133,704 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*1,850*20*689.532 = 400,752.4 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*1,353.6*18*985.045 = 376,998.15 kgf
90
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*23.8*1,041.333 = 533,967.08 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*28*1,041.333 = 628,196.57 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(19,557.32 - 12,229.98 + 2*18*1*(1*23.8 - 1*14.64))*1,407.207
=
107,749.92 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(1,837.3512 + 13,395.2 + 81.0321 + 399.9992)*1,407.207
=
221,122.87 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(1,837.3512 + 0 + 81.0321 + 0 + 2*18*23.8*1)*1,407.207
=
39,052.62 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(1,837.3512 + 0 + 13,395.2 + 81.0321 + 399.9992 + 0 + 2*18*23.8*1)*1,407.207
=
233,179.83 kgf
Load for path 1-1 lesser of W or W1-1 = 107,749.92 kgf
Path 1-1 through (2) & (3) = 400,752.4 + 376,998.15 = 777,750.56 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 39,052.62 kgf
Path 2-2 through (1), (4), (6) = 133,704 + 533,967.08 + 628,196.57 = 1,295,867.65 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 107,749.92 kgf
Path 3-3 through (2), (4) = 400,752.4 + 533,967.08 = 934,719.49 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
91
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.1 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
158.1752 158.1752 1.5226 17.8903 -- 133.952 4.8103
treq
tmin
3.58
18
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
Nozzle to pad fillet (Leg41)
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
size (mm)
size (mm)
Status
6
6.3 weld size is adequate
9.5
14 weld size is adequate
12.6
28 weld size is adequate
Calculations for external pressure 1.1 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(1,335.6, 667.8 + (18 - 0) + (23.8 - 0))
=
1,335.6 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(18 - 0) + 28)
=
59.5 mm
Nozzle required thickness per UG-28 trn = 2.97 mm
From UG-37(d)(1) required thickness tr = 23.69 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
=
(0.5*(1,335.6*23.69*1 + 2*18*23.69*1*(1 - 1))) / 100
=
158.1752 cm2
92
Area available from FIG. UG-37.1
A1 = larger of the following= 1.5226 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(1,335.6*(1*23.8 - 1*23.69) - 2*18*(1*23.8 - 1*23.69)*(1 - 1)) / 100
=
1.5226 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 18)*(1*23.8 - 1*23.69) - 2*18*(1*23.8 - 1*23.69)*(1 - 1)) / 100
=
0.0955 cm2
A2 = smaller of the following= 17.8903 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(18 - 2.97)*1*23.8) / 100
=
17.8903 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(18 - 2.97)*(2.5*18 + 28)*1) / 100
=
21.9496 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(202*1) / 100
=
4 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((1,850 - 1,335.6 - 2*18)*28*1) / 100
=
133.952 cm2
A1 + A2 + A41 + A42 + A5
Area =
=
1.5226 + 17.8903 + 0.8103 + 4 + 133.952
=
158.1752 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
tmin = lesser of 19 mm or tn or te = 18 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-28
=
2.97 mm
93
ta UG-22
=
1.99 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
=
max[ 2.97 , 1.99 ]
=
2.97 mm
tb2
=
3.58 mm
tb2
=
max[ tb2 , tb UG16 ]
=
max[ 3.58 , 1.5 ]
=
3.58 mm
=
min[ tb3 , tb2 ]
=
min[ 8.33 , 3.58 ]
=
3.58 mm
=
max[ ta , tb ]
=
max[ 2.97 , 3.58 ]
=
3.58 mm
tb
tUG-45
Available nozzle wall thickness new, tn = 18 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
439.05 / 1,371.6
=
0.3201
Do / t
=
1,371.6 / 2.97
=
462.4587
From table G:
A
=
0.000448
From table HA-1 Metric: B
=
381.3271 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*381.33 / (3*(1,371.6 / 2.97))
=
1.1 kg/cm2
Design thickness for external pressure Pa = 1.1 kg/cm2
ta
=
t + Corrosion
=
2.97 + 0 = 2.97 mm
94
Feed from E201 (11 (54"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 18 mm
Leg41 =
9 mm
tw(upper) = 34 mm
Leg42 =
24 mm
Dp =
4,481.78 mm
te =
34 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
Shell
Orientation:
240°
Nozzle center line offset to datum line:
3,850 mm
End of nozzle to shell center:
4,352.6 mm
Offset from center, Lo:
3,564.2 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Inside diameter, new:
1,303.6 mm
Nominal wall thickness:
34 mm
Corrosion allowance:
0 mm
Opening chord length:
2,828.86 mm
Projection available outside vessel, Lpr:
985.41 mm
Projection available outside vessel to flange face, Lf: 1,201.31 mm
Local vessel minimum thickness:
18 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
Reinforcing Pad
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Diameter:
4,481.78 mm
Is split:
No
ASME B16.47-2006 Flange
Description:
NPS 54 Class 150 WN A182 F304 Series A
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
No
Rated MDMT:
-48°C
95
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Circumferential joint radiography:
Full UW-11(a) Type 1
96
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
443.1104 577.0921 66.0844 28.4374 -- 476 6.5703
treq
tmin
8.33
34
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
494,182
666,986
Path 1-1
strength
Weld load
Path 2-2
strength
Weld load
Path 3-3
W2-2
W3-3
strength
1,733,303
54,151
1,206,126
682,962
1,455,182
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
16.8 weld size is adequate
13.3
34 weld size is adequate
Nozzle to pad groove (Upper)
Status
WRC 107
Load Case
Load case
1
P
Pr
Mc
Vc
ML
VL
Mt
(kgf/cm2)
(kgf)
(kgf-m)
(kgf)
(kgf-m)
(kgf)
(kgf-m)
4.8
21,005.02
23
6,154.01
-998
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Nozzle rated MDMT per UHA-51(d)(1)(a) = -196 °C.
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(2,828.86, 1,414.43 + (34 - 0) + (18 - 0))
=
2,828.86 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(34 - 0) + 34)
=
45 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
3,113
5,100
Max
Comb
Stress
Allow
Comb
Stress
(kgf/cm2)
(kgf/cm2)
3,310.049
3,915.707
Max
Local
Primary
Stress
Allow
Local
Primary
Stress
(kgf/cm2)
(kgf/cm2)
1,467.094
1,957.854
Over
stressed
No
97
=
4.8*651.8 / (1,305.2357*1 - 0.6*4.8)
=
2.4 mm
Required thickness tr from UG-37(a)
tr
=
P*R / (S*E - 0.6*P)
=
4.8*4,250 / (1,305.2357*1 - 0.6*4.8)
=
15.66 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(2,828.86*15.66*1 + 2*34*15.66*1*(1 - 1)) / 100
=
443.1104 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 66.0844 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2,828.86*(1*18 - 1*15.66) - 2*34*(1*18 - 1*15.66)*(1 - 1)) / 100
=
66.0844 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 34)*(1*18 - 1*15.66) - 2*34*(1*18 - 1*15.66)*(1 - 1)) / 100
=
2.4297 cm2
A2 = smaller of the following= 28.4374 cm2
A41
A42
=
5*(tn - trn)*fr2*t
=
(5*(34 - 2.4)*1*18) / 100
=
28.4374 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(34 - 2.4)*(2.5*34 + 34)*1) / 100
=
75.2011 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(242*1) / 100
=
5.76 cm2
98
A5
=
(Dp - d - 2*tn)*te*fr4
=
((4,481.78 - 3,081.78)*34*1) / 100
=
476 cm2
A1 + A2 + A41 + A42 + A5
Area =
=
66.0844 + 28.4374 + 0.8103 + 5.76 + 476
=
577.0921 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
tmin = lesser of 19 mm or tn or te = 19 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*24 = 16.8 mm
UG-45 Nozzle Neck Thickness Check
ta UG-27
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*651.8 / (1,305.2357*1 - 0.6*4.8) + 0
=
2.4 mm
ta UG-22
=
0.86 mm
ta
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 2.4 , 0.86 ]
=
2.4 mm
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*4,250 / (1,305.2357*1 - 0.6*4.8) + 0
=
15.66 mm
=
max[ tb1 , tb UG16 ]
tb1
tb1
tb
tUG-45
=
max[ 15.66 , 1.5 ]
=
15.66 mm
=
min[ tb3 , tb1 ]
=
min[ 8.33 , 15.66 ]
=
8.33 mm
=
max[ ta , tb ]
=
max[ 2.4 , 8.33 ]
=
8.33 mm
Available nozzle wall thickness new, tn = 34 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
99
Groove weld in tension:
0.74*1,305.236 = 965.874 kgf/cm2
Nozzle wall in shear:
0.7*1,305.236 = 913.665 kgf/cm2
Inner fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Outer fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Upper groove weld in tension: 0.74*1,305.236 = 965.874 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*1,371.6*9*639.566 = 124,015.3 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*4,481.78*24*639.566 = 1,080,605.12 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*1,337.6*34*913.665 = 652,698.23 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*18*965.874 = 374,576.84 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*34*965.874 = 707,534.02 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(44,311.04 - 6,608.4384 + 2*34*1*(1*18 - 1*15.66))*1,305.236
=
494,181.64 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(2,843.7362 + 47,600 + 81.0321 + 575.9988)*1,305.236
=
666,986.07 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(2,843.7362 + 0 + 81.0321 + 0 + 2*34*18*1)*1,305.236
=
54,151.26 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(2,843.7362 + 0 + 47,600 + 81.0321 + 575.9988 + 0 + 2*34*18*1)*1,305.236
=
682,962.17 kgf
Load for path 1-1 lesser of W or W1-1 = 494,181.64 kgf
Path 1-1 through (2) & (3) = 1,080,605.12 + 652,698.23 = 1,733,303.35 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 54,151.26 kgf
Path 2-2 through (1), (4), (6) = 124,015.3 + 374,576.84 + 707,534.02 = 1,206,126.17 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 494,181.64 kgf
Path 3-3 through (2), (4) = 1,080,605.12 + 374,576.84 = 1,455,181.95 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
100
Check Large Opening per Appendix 1-7(a)
Area required within 75 percent of the limits of reinforcement
= 2 / 3*A = (2 / 3)*443.1104 = 295.4069 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 2.4297 or
A5
=
(2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*2,121.64 - 2,828.86)*(1*18 - 1*15.66) - 2*34*(1*18 - 1*15.66)*(1 - 1)
=
33.0419 cm2
=
(Dp - d - 2*tn)*te*fr4
=
(4,243.29 - 3,081.78)*34*1
=
394.9128 cm2
Area =
A1 + A2 + A3 + A41 + A42 + A43 + A5
=
33.0419 + 28.4374 + 0 + 0.8103 + 0 + 0 + 394.9128
=
457.2023 cm2
The area replacement requirements of Appendix 1-7(a) are satisfied.
Check Large Opening per Appendix 1-7(b)
1-7(b)(1)(a) Di = 8,500 mm > 1,500 mm
True
1-7(b)(1)(b) d = 2,828.86 mm > 1,000 mm
True
1-7(b)(1)(b) d = 2,828.86 mm > 3.4*(4,250*18)0.5 = 940.39 mm True
1-7(b)(1)(c) Rn / R = 651.8 / 4,250 = 0.1534 ≤ 0.7
True
1-7(b)(1)
Radial nozzle in cylinder or cone
False
1-7(b)(1)
Internal projection not present
True
The opening is within the size range defined by 1-7(b)(1)(a) and (b) so the requirements of 1-7(b)(2),(3) and (4) apply.
Rn / R = 0.1534 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
** WARNING! The opening is outside the scope of Appendix 1-7(b) as orientation is non-radial. A U-2(g) analysis is required.
101
L-67
WRC 107 Load case 1
Applied Loads
Pr = 21,005.02 kgf
Radial load:
Circumferential moment: Mc =
Circumferential shear:
23 kgf-m
Vc = 6,154.01 kgf
Longitudinal moment:
ML =
Longitudinal shear:
VL =
3,113 kgf
Torsion moment:
Mt =
5,100 kgf-m
Internal pressure:
P=
Mean shell radius:
Rm =
4,259 mm
T=
18 mm
Local shell thickness:
Shell yield stress:
-998 kgf-m
4.8 kgf/cm2
Sy = 1,519.38 kgf/cm2
Design factor:
3
Maximum stresses due to the applied loads at the pad edge (includes pressure)
g = Rm / T = 4,259 / 18 = 236.6111
b = 0.875*ro / Rm = 0.875*1,385.8 / 4,259 = 0.2847
Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*Ri / T =1,133.347 kgf/cm2
Local longitudinal pressure stress = I*P*Ri / (2*T) =566.674 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 3,310.05 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,044.69 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure
Au
value
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
Nf / (P / Rm)
3.2372
0
0
0
0
-88.727
-88.727
-88.727
-88.727
4C*
Nf / (P / Rm)
13.2415
-362.784
-362.784
-362.784
-362.784
0
0
0
0
1C
Mf / P
0.0582
0
0
0
2C-1
Mf / P
0.0043
-167.26
167.26
-167.26
167.26
0
0
0
0
3A*
Nf / [Mc / (Rm2*b)]
3.7893
0
0
0
0
-0.07
-0.07
0.07
0.07
1A
Mf / [Mc / (Rm*b)]
0.0454
0
0
0
0
-1.617
1.617
1.617
-1.617
3B*
Nf / [ML / (Rm2*b)]
7.1716
7.734
7.734
-7.734
-7.734
0
0
0
0
0 -2,263.882 2,263.882 -2,263.882 2,263.882
102
1B-1
Mf / [ML / (Rm*b)]
0.0046
Pressure stress*
7.031
-7.031
-7.031
7.031
1,133.347 1,133.347 1,133.347 1,133.347
0
0
1,133.347 1,133.347
0
0
1,133.347 1,133.347
Total circumferential stress
618.068
938.527
588.539
937.121
-1,220.95 3,310.049 -1,217.575 3,306.955
Primary membrane circumferential stress*
778.297
778.297
762.83
762.83
1,044.55
1,044.55
1,044.69
1,044.69
3C*
Nx / (P / Rm)
3.2372
-88.727
-88.727
-88.727
-88.727
0
0
0
0
4C*
Nx / (P / Rm)
13.2415
0
0
0
0
-362.784
-362.784
-362.784
-362.784
1C-1
Mx / P
0.0146
-567.939
567.939
-567.939
567.939
0
0
0
0
2C
Mx / P
0.0306
0
0
0
0 -1,190.296 1,190.296 -1,190.296 1,190.296
4A*
Nx / [Mc / (Rm2*b)]
17.2483
0
0
0
0
-0.422
-0.422
0.422
0.422
2A
Mx / [Mc / (Rm*b)]
0.0172
0
0
0
0
-0.633
0.633
0.633
-0.633
4B*
Nx / [ML / (Rm2*b)]
3.2666
3.515
3.515
-3.515
-3.515
0
0
0
0
2B-1
Mx / [ML / (Rm*b)]
0.009
13.71
-13.71
-13.71
13.71
0
0
0
0
566.674
566.674
566.674
566.674
566.674
566.674
566.674
566.674
-72.768 1,035.691
-107.218
1,056.08
-987.46 1,394.397
Pressure stress*
Total longitudinal stress
Primary membrane longitudinal stress*
-985.351 1,393.975
481.462
481.462
474.431
474.431
203.468
203.468
204.312
204.312
Shear from Mt
2.32
2.32
2.32
2.32
2.32
2.32
2.32
2.32
Circ shear from Vc
7.874
7.874
-7.874
-7.874
0
0
0
0
Long shear from VL
0
0
0
0
-4.007
-4.007
4.007
4.007
10.195
10.195
-5.554
-5.554
-1.687
-1.687
6.328
6.328
Total Shear stress
Combined stress (PL+Pb+Q)
691.117 1,036.746
695.827 1,056.361
-1,220.95 3,310.049 -1,217.716 3,306.955
Note: * denotes primary stress.
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
g = Rm / T = 4,259 / 52 = 81.9038
b = 0.875*ro / Rm = 0.875*685.8 / 4,259 = 0.1409
Pressure stress intensity factor, I = 1.386 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*Ri / T =1,570.797 kgf/cm2
Local longitudinal pressure stress = I*P*Ri / (2*T) =785.398 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 1,650.74 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,467.09 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
103
Stresses at the nozzle OD per WRC Bulletin 107
Figure
Au
value
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
Nf / (P / Rm)
7.6092
0
0
0
0
-72.135
-72.135
-72.135
-72.135
4C*
Nf / (P / Rm)
11.5917
-109.96
-109.96
-109.96
-109.96
0
0
0
0
1C
Mf / P
0.0713
0
0
0
0
-332.341
332.341
-332.341
332.341
2C-1
Mf / P
0.04
-186.454
186.454
-186.454
186.454
0
0
0
0
3A*
Nf / [Mc / (Rm2*b)]
3.297
0
0
0
0
-0.07
-0.07
0.07
0.07
1A
Mf / [Mc / (Rm*b)]
0.0754
0
0
0
0
-0.633
0.633
0.633
-0.633
3B*
Nf / [ML / (Rm2*b)]
8.3564
6.257
6.257
-6.257
-6.257
0
0
0
0
1B-1
Mf / [ML / (Rm*b)]
0.0263
9.702
-9.702
-9.702
9.702
0
0
0
0
Pressure stress*
1,570.797 1,570.797 1,570.797 1,570.797 1,133.347 1,133.347 1,133.347 1,133.347
Total circumferential stress
1,290.343 1,643.846 1,258.423 1,650.736
Primary membrane circumferential stress*
728.169 1,394.116
729.575 1,392.991
1,467.094 1,467.094 1,454.579 1,454.579 1,061.142 1,061.142 1,061.283 1,061.283
3C*
Nx / (P / Rm)
7.6092
-72.135
-72.135
-72.135
-72.135
0
0
0
0
4C*
Nx / (P / Rm)
11.5917
0
0
0
0
-109.96
-109.96
-109.96
-109.96
1C-1
Mx / P
0.0714
-332.763
332.763
-332.763
332.763
0
0
0
0
2C
Mx / P
0.044
0
0
0
0
-205.085
205.085
-205.085
205.085
4A*
Nx / [Mc / (Rm2*b)]
6.3333
0
0
0
0
-0.141
-0.141
0.141
0.141
2A
Mx / [Mc / (Rm*b)]
0.0375
0
0
0
0
-0.352
0.352
0.352
-0.352
4B*
Nx / [ML / (Rm2*b)]
3.2382
2.461
2.461
-2.461
-2.461
0
0
0
0
2B-1
Mx / [ML / (Rm*b)]
0.0367
13.569
-13.569
-13.569
13.569
0
0
0
0
Pressure stress*
566.674
566.674
566.674
566.674
785.398
785.398
785.398
785.398
Total longitudinal stress
177.806
816.193
145.746
838.41
469.861
880.735
470.845
880.313
Primary membrane longitudinal stress*
496.999
496.999
492.078
492.078
675.298
675.298
675.579
675.579
Shear from Mt
3.304
3.304
3.304
3.304
3.304
3.304
3.304
3.304
Circ shear from Vc
5.484
5.484
-5.484
-5.484
0
0
0
0
Long shear from VL
0
0
0
0
-2.812
-2.812
2.812
2.812
8.788
8.788
-2.18
-2.18
0.492
0.492
6.117
6.117
Total Shear stress
Combined stress (PL+Pb+Q)
1,290.413 1,643.916 1,258.423 1,650.736
728.169 1,394.116
729.715 1,393.061
Note: * denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
sn (Pm) = P*Ri / (2*tn) - Pr / (p*(Ro2 - Ri2)) + M*Ro / I
= 4.8*651.8 / (2*34) - 21,005.02 / (p*(685.82 - 651.82))*100 + 998,261*685.8 / 3.1974E+10*100
= 33.449 kgf/cm2
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is
acceptable ( ≤ S = 1,305.236 kgf/cm2)
Shear stress in the nozzle wall due to external loads
104
sshear = (VL2 + Vc2)0.5 / (p*Ri*tn)*100
= (3,1132 + 6,154.012)0.5 / (p*651.8*34)*100
= 9.906 kgf/cm2
storsion = Mt / (2*p*Ri2*tn)*100000
= 5,100 / (2*p*651.82*34)*100000
= 5.619 kgf/cm2
stotal = sshear + storsion
= 9.906 + 5.619
= 15.525 kgf/cm2
UG-45: The total combined shear stress (15.525 kgf/cm2) ≤ allowable (0.7*Sn = 0.7*1,305.236 = 913.665 kgf/cm2)
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*34 / 668.8)*(1 - 668.8 / infinity)
=
2.5419%
105
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
460.8797 558.9418 48.0212 28.3503 -- 476 6.5703
treq
tmin
8.33
34
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load
W1-1
W
582,603
718,972
Path 1-1
strength
Weld load
Path 2-2
strength
Weld load
Path 3-3
W2-2
W3-3
strength
1,868,718
58,259
1,300,355
736,196
1,568,868
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
16.8 weld size is adequate
13.3
34 weld size is adequate
Nozzle to pad groove (Upper)
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Nozzle rated MDMT per UHA-51(d)(1)(a) = -196 °C.
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(2,827.23, 1,413.61 + (34 - 0) + (18 - 0))
=
2,827.23 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(34 - 0) + 34)
=
45 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
5.3851*651.8 / (1,407.2073*1 - 0.6*5.3851)
=
2.5 mm
Required thickness tr from UG-37(a)
tr
=
P*R / (S*E - 0.6*P)
=
5.3851*4,250 / (1,407.2073*1 - 0.6*5.3851)
=
16.3 mm
Area required per UG-37(c)
Status
106
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(2,827.23*16.3*1 + 2*34*16.3*1*(1 - 1)) / 100
=
460.8797 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 48.0212 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2,827.23*(1*18 - 1*16.3) - 2*34*(1*18 - 1*16.3)*(1 - 1)) / 100
=
48.0212 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 34)*(1*18 - 1*16.3) - 2*34*(1*18 - 1*16.3)*(1 - 1)) / 100
=
1.7664 cm2
A2 = smaller of the following= 28.3503 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(34 - 2.5)*1*18) / 100
=
28.3503 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(34 - 2.5)*(2.5*34 + 34)*1) / 100
=
74.9715 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(242*1) / 100
=
5.76 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((4,481.78 - 3,081.78)*34*1) / 100
=
476 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
48.0212 + 28.3503 + 0.8103 + 5.76 + 476
=
558.9418 cm2
As Area >= A the reinforcement is adequate.
107
UW-16(c)(2) Weld Check
tmin = lesser of 19 mm or tn or te = 19 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*24 = 16.8 mm
UG-45 Nozzle Neck Thickness Check
ta UG-27
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*651.8 / (1,407.2073*1 - 0.6*5.3851) + 0
=
2.5 mm
ta UG-22
=
0.94 mm
ta
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 2.5 , 0.94 ]
=
2.5 mm
=
P*R / (S*E - 0.6*P) + Corrosion
tb1
tb1
tb
tUG-45
=
5.3851*4,250 / (1,407.2073*1 - 0.6*5.3851) + 0
=
16.3 mm
=
max[ tb1 , tb UG16 ]
=
max[ 16.3 , 1.5 ]
=
16.3 mm
=
min[ tb3 , tb1 ]
=
min[ 8.33 , 16.3 ]
=
8.33 mm
=
max[ ta , tb ]
=
max[ 2.5 , 8.33 ]
=
8.33 mm
Available nozzle wall thickness new, tn = 34 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,407.207 = 1,041.333 kgf/cm2
Nozzle wall in shear:
0.7*1,407.207 =
985.045 kgf/cm2
Inner fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Outer fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Upper groove weld in tension: 0.74*1,407.207 = 1,041.333 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
108
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*1,371.6*9*689.532 = 133,704 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*4,481.78*24*689.532 = 1,165,027.39 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*1,337.6*34*985.045 = 703,690.28 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*18*1,041.333 = 403,840.65 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*1,371.6*34*1,041.333 = 762,810.12 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(46,087.97 - 4,802.1194 + 2*34*1*(1*18 - 1*16.3))*1,407.207
=
582,603.28 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
=
(2,835.0266 + 47,600 + 81.0321 + 575.9988)*1,407.207
=
718,971.79 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(2,835.0266 + 0 + 81.0321 + 0 + 2*34*18*1)*1,407.207
=
58,259.26 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(2,835.0266 + 0 + 47,600 + 81.0321 + 575.9988 + 0 + 2*34*18*1)*1,407.207
=
736,196.02 kgf
Load for path 1-1 lesser of W or W1-1 = 582,603.28 kgf
Path 1-1 through (2) & (3) = 1,165,027.39 + 703,690.28 = 1,868,717.67 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 58,259.26 kgf
Path 2-2 through (1), (4), (6) = 133,704 + 403,840.65 + 762,810.12 = 1,300,354.77 kgf
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).
Load for path 3-3 lesser of W or W3-3 = 582,603.28 kgf
Path 3-3 through (2), (4) = 1,165,027.39 + 403,840.65 = 1,568,868.04 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check Large Opening per Appendix 1-7(a)
Area required within 75 percent of the limits of reinforcement
= 2 / 3*A = (2 / 3)*460.8797 = 307.2531 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 1.7664 or
=
(2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*2,120.42 - 2,827.23)*(1*18 - 1*16.3) - 2*34*(1*18 - 1*16.3)*(1 - 1)
109
A5
=
24.0109 cm2
=
(Dp - d - 2*tn)*te*fr4
=
(4,240.84 - 3,081.78)*34*1
=
394.0811 cm2
Area =
A1 + A2 + A3 + A41 + A42 + A43 + A5
=
24.0109 + 28.3503 + 0 + 0.8103 + 0 + 0 + 394.0811
=
447.2527 cm2
The area replacement requirements of Appendix 1-7(a) are satisfied.
Check Large Opening per Appendix 1-7(b)
1-7(b)(1)(a) Di = 8,500 mm > 1,500 mm
True
1-7(b)(1)(b) d = 2,827.23 mm > 1,000 mm
True
1-7(b)(1)(b) d = 2,827.23 mm > 3.4*(4,250*18)0.5 = 940.39 mm True
1-7(b)(1)(c) Rn / R = 651.8 / 4,250 = 0.1534 ≤ 0.7
True
1-7(b)(1)
Radial nozzle in cylinder or cone
False
1-7(b)(1)
Internal projection not present
True
The opening is within the size range defined by 1-7(b)(1)(a) and (b) so the requirements of 1-7(b)(2),(3) and (4) apply.
Rn / R = 0.1534 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
** WARNING! The opening is outside the scope of Appendix 1-7(b) as orientation is non-radial. A U-2(g) analysis is required.
110
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.1 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A5
A
welds
254.0621 506.6799 0.0013 24.1083 -- 476 6.5703
treq
tmin
7.21
34
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
size (mm)
Nozzle to pad fillet (Leg41)
6
6.3 weld size is adequate
Pad to shell fillet (Leg42)
9
16.8 weld size is adequate
13.3
34 weld size is adequate
Nozzle to pad groove (Upper)
Status
Calculations for external pressure 1.1 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(2,822.92, 1,411.46 + (34 - 0) + (18 - 0))
=
2,822.92 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(18 - 0), 2.5*(34 - 0) + 34)
=
45 mm
Nozzle required thickness per UG-28 trn = 7.21 mm
From UG-37(d)(1) required thickness tr = 18 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
=
(0.5*(2,822.92*18*1 + 2*34*18*1*(1 - 1))) / 100
111
=
254.0621 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0.0013 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2,822.92*(1*18 - 1*18) - 2*34*(1*18 - 1*18)*(1 - 1)) / 100
=
0.0013 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(18 + 34)*(1*18 - 1*18) - 2*34*(1*18 - 1*18)*(1 - 1)) / 100
=
0 cm2
A2 = smaller of the following= 24.1083 cm2
A41
A42
A5
=
5*(tn - trn)*fr2*t
=
(5*(34 - 7.21)*1*18) / 100
=
24.1083 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(34 - 7.21)*(2.5*34 + 34)*1) / 100
=
63.7528 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(242*1) / 100
=
5.76 cm2
=
(Dp - d - 2*tn)*te*fr4
=
((4,481.78 - 3,081.78)*34*1) / 100
=
476 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
0.0013 + 24.1083 + 0.8103 + 5.76 + 476
=
506.6799 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet:
tmin = lesser of 19 mm or tn or te = 19 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 18 mm
tw(min) = 0.5*tmin = 9 mm
tw(actual) = 0.7*Leg = 0.7*24 = 16.8 mm
112
UG-45 Nozzle Neck Thickness Check
ta UG-28
=
7.21 mm
ta UG-22
=
0.72 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
tb2
tb2
tb
tUG-45
=
max[ 7.21 , 0.72 ]
=
7.21 mm
=
P*R / (S*E - 0.6*P) + Corrosion
=
1.0956*4,250 / (1,305.2357*1 - 0.6*1.0956) + 0
=
3.57 mm
=
max[ tb2 , tb UG16 ]
=
max[ 3.57 , 1.5 ]
=
3.57 mm
=
min[ tb3 , tb2 ]
=
min[ 8.33 , 3.57 ]
=
3.57 mm
=
max[ ta , tb ]
=
max[ 7.21 , 3.57 ]
=
7.21 mm
Available nozzle wall thickness new, tn = 34 mm
The nozzle neck thickness is adequate.
Check Large Opening per Appendix 1-7(a)
Area required within 75 percent of the limits of reinforcement
= 2 / 3*A = (2 / 3)*254.0621 = 169.3747 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
A5
=
(2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*2,117.19 - 2,822.92)*(1*18 - 1*18) - 2*34*(1*18 - 1*18)*(1 - 1)
=
0.0006 cm2
=
(Dp - d - 2*tn)*te*fr4
=
(4,234.38 - 3,081.78)*34*1
=
391.8831 cm2
A1 + A2 + A3 + A41 + A42 + A43 + A5
Area =
=
0.0006 + 24.1083 + 0 + 0.8103 + 0 + 0 + 391.8831
=
416.8024 cm2
The area replacement requirements of Appendix 1-7(a) are satisfied.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
3,961.03 / 1,371.6
=
2.8879
113
Do / t
=
1,371.6 / 7.21
From table G:
=
190.1521
A
=
0.000171
From table HA-1 Metric: B
=
156.2498 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*156.25 / (3*(1,371.6 / 7.21))
=
1.1 kg/cm2
Design thickness for external pressure Pa = 1.1 kg/cm2
ta
=
t + Corrosion
=
7.21 + 0 = 7.21 mm
ITEM NO. : FA202
L-68
114
WRC 107 Load case 1
Applied Loads
Pr =
Radial load:
-500 kgf
Circumferential moment: Mc = -42,999.98 kgf-m
Circumferential shear:
Vc =
-500 kgf
Longitudinal moment:
ML =
-6,500 kgf-m
Longitudinal shear:
VL =
-2,000 kgf
Torsion moment:
Mt =
-3,000 kgf-m
Internal pressure:
P=
Mean shell radius:
Local shell thickness:
Shell yield stress:
4.8 kgf/cm2
Rm =
4,259 mm
T=
18 mm
Sy =
1,519.38 kgf/cm2
Design factor:
3
Maximum stresses due to the applied loads at the pad edge (includes pressure)
g = Rm / T = 4,259 / 18 = 236.6111
b = 0.875*ro / Rm = 0.875*1,385.8 / 4,259 = 0.2847
Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*Ri / T =1,133.347 kgf/cm2
Local longitudinal pressure stress = I*P*Ri / (2*T) =566.674 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 4,346.02 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
WRC 107: The combined stress (PL+Pb+Q) is excessive (at pad edge)
Nozzle design shall refer to FEA (P2B-22-22-CS-FA202002-AXFA003-V).
Maximum local primary membrane stress (PL) = 1,373.16 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure
Au
value
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
Nf / (P / Rm)
3.2372
0
0
0
0
2.109
2.109
2.109
2.109
4C*
Nf / (P / Rm)
13.2415
8.648
8.648
8.648
8.648
0
0
0
0
1C
Mf / P
0.0582
0
0
0
0
53.855
-53.855
53.855
-53.855
2C-1
Mf / P
0.0043
4.007
-4.007
4.007
-4.007
0
0
0
0
3A*
Nf / [Mc / (Rm2*b)]
3.7893
0
0
0
0
175.275
175.275
-175.275
-175.275
1A
Mf / [Mc / (Rm*b)]
0.0454
0
0
0
0 2,981.434 -2,981.434 -2,981.434 2,981.434
ITEM NO. : FA202
L-68
115
3B*
Nf / [ML / (Rm2*b)]
7.1716
50.129
50.129
-50.129
-50.129
0
0
0
0
1B-1
Mf / [ML / (Rm*b)]
0.0046
45.629
-45.629
-45.629
45.629
0
0
0
0
1,133.347 1,133.347 1,133.347 1,133.347 1,133.347
1,133.347
Pressure stress*
Total circumferential stress
1,133.347 1,133.347
1,241.76 1,142.487 1,050.244 1,133.488 4,346.021 -1,724.558 -1,967.398 3,887.761
Primary membrane circumferential stress*
1,192.124 1,192.124 1,091.866 1,091.866 1,310.732
1,310.732
960.181
960.181
3C*
Nx / (P / Rm)
3.2372
2.109
2.109
2.109
2.109
0
0
0
0
4C*
Nx / (P / Rm)
13.2415
0
0
0
0
8.648
8.648
8.648
8.648
1C-1
Mx / P
0.0146
13.499
-13.499
13.499
-13.499
0
0
0
0
2C
Mx / P
0.0306
0
0
0
0
28.334
-28.334
28.334
-28.334
4A*
Nx / [Mc / (Rm2*b)]
17.2483
0
0
0
0
797.843
797.843
-797.843
-797.843
2A
Mx / [Mc / (Rm*b)]
0.0172
0
0
0
0 1,129.551 -1,129.551 -1,129.551 1,129.551
4B*
Nx / [ML / (Rm2*b)]
3.2666
22.85
22.85
-22.85
-22.85
0
0
0
0
2B-1
Mx / [ML / (Rm*b)]
0.009
89.36
-89.36
-89.36
89.36
0
0
0
0
Pressure stress*
566.674
566.674
566.674
566.674
566.674
566.674
566.674
566.674
Total longitudinal stress
694.492
488.774
470.072
621.794 2,531.048
215.28 -1,323.738
878.696
Primary membrane longitudinal stress*
591.633
591.633
545.933
545.933 1,373.164
Shear from Mt
-1.406
-1.406
-1.406
-1.406
Circ shear from Vc
-0.633
-0.633
0.633
Long shear from VL
0
0
-2.039
-2.039
Total Shear stress
Combined stress (PL+Pb+Q)
1,373.164
-222.521
-222.521
-1.406
-1.406
-1.406
-1.406
0.633
0
0
0
0
0
0
2.531
2.531
-2.531
-2.531
-0.773
-0.773
1.125
1.125
-3.937
-3.937
1,241.76 1,142.487 1,050.244 1,133.488 4,346.021
1,939.838 -1,967.398 3,887.761
Note: * denotes primary stress.
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)
g = Rm / T = 4,259 / 52 = 81.9038
b = 0.875*ro / Rm = 0.875*685.8 / 4,259 = 0.1409
Pressure stress intensity factor, I = 1.386 (derived from Division 2 Part 4.5)
Local circumferential pressure stress = I*P*Ri / T =1,570.797 kgf/cm2
Local longitudinal pressure stress = I*P*Ri / (2*T) =785.398 kgf/cm2
Maximum combined stress (PL+Pb+Q) = 2,448.51 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,915.71 kgf/cm2
Note: The allowable combined stress (PL+Pb+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 1,614.25 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-1,957.85 kgf/cm2
ITEM NO. : FA202
L-68
The maximum local primary membrane stress (PL) is within allowable limits.
116
ITEM NO. : FA202
L-68
117
Stresses at the nozzle OD per WRC Bulletin 107
Figure
Au
value
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
Nf / (P / Rm)
7.6092
0
0
0
0
1.687
1.687
1.687
1.687
4C*
Nf / (P / Rm)
11.5917
2.601
2.601
2.601
2.601
0
0
0
0
1C
Mf / P
0.0713
0
0
0
0
7.945
-7.945
7.945
-7.945
2C-1
Mf / P
0.04
4.429
-4.429
4.429
-4.429
0
0
0
0
3A*
Nf / [Mc / (Rm2*b)]
3.297
0
0
0
0
106.656
106.656
-106.656
-106.656
1A
Mf / [Mc / (Rm*b)]
0.0754
0
0
0
0 1,198.873 -1,198.873 -1,198.873 1,198.873
3B*
Nf / [ML / (Rm2*b)]
8.3564
40.848
40.848
-40.848
-40.848
0
0
0
0
1B-1
Mf / [ML / (Rm*b)]
0.0263
63.206
-63.206
-63.206
63.206
0
0
0
0
Pressure stress*
1,570.797 1,570.797 1,570.797 1,570.797 1,133.347
1,133.347
1,133.347 1,133.347
Total circumferential stress
1,681.882 1,546.611 1,473.773 1,591.326 2,448.508
34.872
-162.55 2,219.308
1,028.379 1,028.379
Primary membrane circumferential stress*
1,614.246 1,614.246
1,532.55
1,532.55
1,241.69
1,241.69
3C*
Nx / (P / Rm)
7.6092
1.687
1.687
1.687
1.687
0
0
0
0
4C*
Nx / (P / Rm)
11.5917
0
0
0
0
2.601
2.601
2.601
2.601
1C-1
Mx / P
0.0714
7.945
-7.945
7.945
-7.945
0
0
0
0
2C
Mx / P
0.044
0
0
0
0
4.851
-4.851
4.851
-4.851
4A*
Nx / [Mc / (Rm2*b)]
6.3333
0
0
0
0
204.945
204.945
-204.945
-204.945
2A
Mx / [Mc / (Rm*b)]
0.0375
0
0
0
0
596.273
-596.273
-596.273
596.273
4B*
Nx / [ML / (Rm2*b)]
3.2382
15.819
15.819
-15.819
-15.819
0
0
0
0
2B-1
Mx / [ML / (Rm*b)]
0.0367
88.235
-88.235
-88.235
88.235
0
0
0
0
Pressure stress*
566.674
566.674
566.674
566.674
785.398
785.398
785.398
785.398
Total longitudinal stress
680.36
488
472.251
632.832 1,594.068
391.82
Primary membrane longitudinal stress*
584.18
584.18
552.542
552.542
992.944
992.944
583.055
583.055
Shear from Mt
-1.969
-1.969
-1.969
-1.969
-1.969
-1.969
-1.969
-1.969
Circ shear from Vc
-0.422
-0.422
0.422
0.422
0
0
0
0
Long shear from VL
0
0
0
0
1.758
1.758
-1.758
-1.758
-2.39
-2.39
-1.547
-1.547
-0.211
-0.211
-3.726
-3.726
1,681.882 1,546.611 1,473.773 1,591.326 2,448.508
391.82
Total Shear stress
Combined stress (PL+Pb+Q)
-8.367 1,174.477
-162.62 2,219.308
Note: * denotes primary stress.
Longitudinal stress in the nozzle wall due to internal pressure + external loads
sn (Pm) = P*Ri / (2*tn) - Pr / (p*(Ro2 - Ri2)) + M*Ro / I
= 4.8*651.8 / (2*34) - -500 / (p*(685.82 - 651.82))*100 + 4.3488E+07*685.8 / 3.1974E+10*100
= 139.636 kgf/cm2
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable
( ≤ S = 1,305.236 kgf/cm2)
ITEM NO. : FA202
L-68
Shear stress in the nozzle wall due to external loads
sshear = (VL2 + Vc2)0.5 / (p*Ri*tn)*100
= (2,0002 + 5002)0.5 / (p*651.8*34)*100
= 2.961 kgf/cm2
storsion = Mt / (2*p*Ri2*tn)*100000
= 3,000 / (2*p*651.82*34)*100000
= 3.305 kgf/cm2
stotal = sshear + storsion
= 2.961 + 3.305
= 6.267 kgf/cm2
UG-45: The total combined shear stress (6.267 kgf/cm2) ≤ allowable (0.7*Sn = 0.7*1,305.236 = 913.665 kgf/cm2)
% Forming strain - UHA-44(a)(2)(a)
EFE
=
(50*t / Rf)*(1 - Rf / Ro)
=
(50*34 / 668.8)*(1 - 668.8 / infinity)
=
2.5419%
118
119
18 Flange
ASME B16.5-2009 Flange
Description:
NPS 14 Class 150 WN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
No
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0.2984 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Circumferential joint radiography:
Full UW-11(a) Type 1
120
Washing conn. (35 (1.5"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 51.8 mm
Leg41 =
9 mm
Note: Per UW-16(b) minimum inside corner radius r1 = min [1 / 4*t , 3 mm] = 3 mm
Location and Orientation
Located on:
Top Ellipsoidal Head
Orientation:
135°
End of nozzle to datum line:
10,960.1 mm
Calculated as hillside:
Yes
Distance to head center, R:
800 mm
Passes through a Category A joint:
Yes
Nozzle
Access opening:
No
Material specification:
SA-182 F304 <= 125 (II-D Metric p. 86, ln. 15)
Inside diameter, new:
40.89 mm
Wall thickness, tn:
19.56 mm
Minimum wall thickness:
3.68 mm
Corrosion allowance:
0 mm
Opening chord length:
41.08 mm
Projection available outside vessel, Lpr:
83.57 mm
Heavy barrel length, Lhb:
30 mm
Projection available outside vessel to flange face, Lf: 145.55 mm
User input vessel thickness:
51.8 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
ASME B16.5-2009 Flange
Description:
NPS 1.5 Class 150 WN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
No
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
121
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Circumferential joint radiography:
Full UW-11(a) Type 1
122
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
5.7809
A1
A2
A
welds
A3 A5
68.1721 53.8425 13.5193 --
-- 0.8103
treq
tmin
3.22
3.68
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
Nozzle to shell fillet (Leg41)
6
Status
6.3 weld size is adequate
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.019).
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(41.08, 20.54 + (3.68 - 0) + (51.8 - 0))
=
76.02 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LH
te
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(51.8 - 0), 2.5*(3.68 - 0) + 27.49)
=
36.7 mm
=
MIN( 30 + 15.87*tan(30) , 15.87*tan(60) )
=
27.49 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
4.8*20.45 / (1,305.2357*1 - 0.6*4.8)
=
0.0762 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
4.8*0.9*8,500 / (2*1,305.2357*1 - 0.2*4.8)
=
14.07 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
123
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(41.08*14.07*1 + 2*19.56*14.07*1*(1 - 1)) / 100
=
5.7809 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 53.8425 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(41.08*(1*51.8 - 1*14.07) - 2*19.56*(1*51.8 - 1*14.07)*(1 - 1)) / 100
=
15.4993 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(51.8 + 19.56)*(1*51.8 - 1*14.07) - 2*19.56*(1*51.8 - 1*14.07)*(1 - 1)) / 100
=
53.8425 cm2
A2 = smaller of the following= 13.5193 cm2
A41
=
2*(tn - trn)*fr2*Lpr - [(tn - tp)2*tan(30) + 2*(LIMIT - Lhb - Lslope)*(tn - tp)]*fr2
=
(2*(19.56 - 0.0762)*1*83.57 - [(19.56 - 3.68)2*tan(30) + 2*(83.57 - 30 - 9.16)*(19.56 - 3.68)]*1) / 100
=
17.0064 cm2
=
2*(tn - trn)*(2.5*tp + te)*fr2 - (LIMIT - Lhb)2*fr2 / tan(30)
=
(2*(19.56 - 0.0762)*(2.5*3.68 + 27.49)*1 - (36.7 - 30)2*1 / tan(30)) / 100
=
13.5193 cm2
=
Leg2*fr2
=
(92*1) / 100
=
0.8103 cm2
A1 + A2 + A41
Area =
=
53.8425 + 13.5193 + 0.8103
=
68.1721 cm2
As Area >= A the reinforcement is adequate.
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*20.45 / (1,305.2357*1 - 0.6*4.8) + 0
=
0.0762 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.0762 , 0 ]
=
0.0762 mm
124
tb1
=
15.64 mm
tb1
=
max[ tb1 , tb UG16 ]
=
max[ 15.64 , 1.5 ]
=
15.64 mm
=
min[ tb3 , tb1 ]
=
min[ 3.22 , 15.64 ]
=
3.22 mm
=
max[ ta , tb ]
=
max[ 0.0762 , 3.22 ]
=
3.22 mm
tb
tUG-45
Available nozzle wall thickness new, tn = 3.68 mm
The nozzle neck thickness is adequate.
125
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
6.0157
A1
A2
A3 A5
67.3547 53.0263 13.518 --
A
welds
-- 0.8103
treq
tmin
3.22
3.68
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
Nozzle to shell fillet (Leg41)
6
Status
6.3 weld size is adequate
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.019).
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(41.08, 20.54 + (3.68 - 0) + (51.8 - 0))
=
76.02 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LH
te
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(51.8 - 0), 2.5*(3.68 - 0) + 27.49)
=
36.7 mm
=
MIN( 30 + 15.87*tan(30) , 15.87*tan(60) )
=
27.49 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
5.3851*20.45 / (1,407.2073*1 - 0.6*5.3851)
=
0.0787 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
5.3851*0.9*8,500 / (2*1,407.2073*1 - 0.2*5.3851)
=
14.64 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
126
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(41.08*14.64*1 + 2*19.56*14.64*1*(1 - 1)) / 100
=
6.0157 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 53.0263 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(41.08*(1*51.8 - 1*14.64) - 2*19.56*(1*51.8 - 1*14.64)*(1 - 1)) / 100
=
15.2645 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(51.8 + 19.56)*(1*51.8 - 1*14.64) - 2*19.56*(1*51.8 - 1*14.64)*(1 - 1)) / 100
=
53.0263 cm2
A2 = smaller of the following= 13.518 cm2
A41
=
2*(tn - trn)*fr2*Lpr - [(tn - tp)2*tan(30) + 2*(LIMIT - Lhb - Lslope)*(tn - tp)]*fr2
=
(2*(19.56 - 0.0787)*1*83.57 - [(19.56 - 3.68)2*tan(30) + 2*(83.57 - 30 - 9.16)*(19.56 - 3.68)]*1) / 100
=
17.0019 cm2
=
2*(tn - trn)*(2.5*tp + te)*fr2 - (LIMIT - Lhb)2*fr2 / tan(30)
=
(2*(19.56 - 0.0787)*(2.5*3.68 + 27.49)*1 - (36.7 - 30)2*1 / tan(30)) / 100
=
13.518 cm2
=
Leg2*fr2
=
(92*1) / 100
=
0.8103 cm2
A1 + A2 + A41
Area =
=
53.0263 + 13.518 + 0.8103
=
67.3547 cm2
As Area >= A the reinforcement is adequate.
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*20.45 / (1,407.2073*1 - 0.6*5.3851) + 0
=
0.0787 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.0787 , 0 ]
=
0.0787 mm
127
tb1
=
16.27 mm
tb1
=
max[ tb1 , tb UG16 ]
=
max[ 16.27 , 1.5 ]
=
16.27 mm
=
min[ tb3 , tb1 ]
=
min[ 3.22 , 16.27 ]
=
3.22 mm
=
max[ ta , tb ]
=
max[ 0.0787 , 3.22 ]
=
3.22 mm
tb
tUG-45
Available nozzle wall thickness new, tn = 3.68 mm
The nozzle neck thickness is adequate.
128
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.11 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
4.8888
A1
A2
A3 A5
54.0831 39.9586 13.3142 --
A
welds
-- 0.8103
treq
tmin
3.22
3.68
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
Nozzle to shell fillet (Leg41)
6
Status
6.3 weld size is adequate
Calculations for external pressure 1.11 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(41.08, 20.54 + (3.68 - 0) + (51.8 - 0))
=
76.02 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-1)
LH
te
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(51.8 - 0), 2.5*(3.68 - 0) + 27.49)
=
36.7 mm
=
MIN( 30 + 15.87*tan(30) , 15.87*tan(60) )
=
27.49 mm
Nozzle required thickness per UG-28 trn = 0.36 mm
From UG-37(d)(1) required thickness tr = 23.8 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
=
(0.5*(41.08*23.8*1 + 2*19.56*23.8*1*(1 - 1))) / 100
=
4.8888 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 39.9586 cm2
129
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(41.08*(1*51.8 - 1*23.8) - 2*19.56*(1*51.8 - 1*23.8)*(1 - 1)) / 100
=
11.5032 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(51.8 + 19.56)*(1*51.8 - 1*23.8) - 2*19.56*(1*51.8 - 1*23.8)*(1 - 1)) / 100
=
39.9586 cm2
A2 = smaller of the following= 13.3142 cm2
A41
=
2*(tn - trn)*fr2*Lpr - [(tn - tp)2*tan(30) + 2*(LIMIT - Lhb - Lslope)*(tn - tp)]*fr2
=
(2*(19.56 - 0.36)*1*83.57 - [(19.56 - 3.68)2*tan(30) + 2*(83.57 - 30 - 9.16)*(19.56 - 3.68)]*1) / 100
=
16.5387 cm2
=
2*(tn - trn)*(2.5*tp + te)*fr2 - (LIMIT - Lhb)2*fr2 / tan(30)
=
(2*(19.56 - 0.36)*(2.5*3.68 + 27.49)*1 - (36.7 - 30)2*1 / tan(30)) / 100
=
13.3142 cm2
=
Leg2*fr2
=
(92*1) / 100
=
0.8103 cm2
A1 + A2 + A41
Area =
=
39.9586 + 13.3142 + 0.8103
=
54.0831 cm2
As Area >= A the reinforcement is adequate.
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
The fillet weld size is satisfactory.
Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-28
=
0.36 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
=
max[ 0.36 , 0 ]
=
0.36 mm
tb2
=
3.61 mm
tb2
=
max[ tb2 , tb UG16 ]
=
max[ 3.61 , 1.5 ]
=
3.61 mm
=
min[ tb3 , tb2 ]
=
min[ 3.22 , 3.61 ]
=
3.22 mm
tb
130
tUG-45
=
max[ ta , tb ]
=
max[ 0.36 , 3.22 ]
=
3.22 mm
Available nozzle wall thickness new, tn = 3.68 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
153.21 / 80
=
1.9151
Do / t
=
80 / 0.36
=
224.7252
From table G:
A
=
0.000204
From table HA-1 Metric: B
=
187.0935 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*187.09 / (3*(80 / 0.36))
=
1.11 kg/cm2
Design thickness for external pressure Pa = 1.11 kg/cm2
ta
=
t + Corrosion
=
0.36 + 0 = 0.36 mm
131
Sight glass (48A (4"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Pad inner diameter =
100 mm
Shell opening diameter =
146 mm
Pad thickness =
38 mm
Tapped hole diameter =
13 mm
Tapped hole depth =
24 mm
Tapped hole bolt circle =
190.5 mm
Raised face height =
0 mm
Raised face outer diameter = 0 mm
Inner fillet =
14 mm
Lower fillet =
20 mm
Dp =
229 mm
te =
38 mm
Note: round inside edges per UG-76(c)
Note: Thread engagement shall comply with the requirements of UG-43(g).
Location and Orientation
Located on:
Bottom Transition
Orientation:
180°
Nozzle center/shell outer surface intersection to datum: -2,900 mm
End of nozzle to shell center:
2,363.32 mm
Located:
perpendicular to the cone surface
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-182 F304 <= 125 (II-D Metric p. 86, ln. 15)
Bolt material specification:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Corrosion allowance:
0 mm
Projection available outside vessel, Lpr:
38 mm
Local vessel minimum thickness:
23 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
132
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
21.5093 73.2908 18.3109 --
A5
A
welds
treq
tmin
5.96
8.11
64.5
-- 49.0199
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load
Weld load
Path 1-1
Weld load
Path 2-2
W
W1-1
strength
W2-2
strength
4,175
71,762
61,544
--
--
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
Required thickness tr from UG-37(a)(b)
tr
=
P*Di / (2*cos(a)*(S*E - 0.6*P))
=
4.8*4,627.18 / (2*cos(35.38)*(1,305.2357*1 - 0.6*4.8))
=
10.46 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1) + Tapped hole area loss
133
=
(146*10.46*1 + 2*0*10.46*1*(1 - 1)) / 100 + 6.24
=
21.5093 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 18.3109 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(146*(1*23 - 1*10.46) - 2*0*(1*23 - 1*10.46)*(1 - 1)) / 100
=
18.3109 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*10.46) - 2*0*(1*23 - 1*10.46)*(1 - 1)) / 100
=
5.769 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.0199 cm2
A1 + A42 + A43 + A5
Area =
=
18.3109 + 1.96 + 4 + 49.0199
=
73.2908 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*73 / (1,305.2357*1 - 0.6*4.8) + 0
=
0.27 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.27 , 0 ]
=
0.27 mm
134
tb1
tb1
tb
tUG-45
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
4.8*4,627.18 / (2*cos(35.38)*(1,305.2357*1 - 0.6*4.8)) + 0
=
10.46 mm
=
max[ tb1 , tb UG16 ]
=
max[ 10.46 , 1.5 ]
=
10.46 mm
=
min[ tb3 , tb1 ]
=
min[ 8.11 , 10.46 ]
=
8.11 mm
=
max[ ta , tb ]
=
max[ 0.27 , 8.11 ]
=
8.11 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Outer fillet weld in shear: 0.49*1,305.236 = 639.566 kgf/cm2
Lower fillet weld in shear: 0.49*1,305.236 = 639.566 kgf/cm2
(1) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*229*14*639.566 = 32,208.38 kgf
(2) Lower fillet weld in shear
(p / 2)*146*Leg*Sl = (p / 2)*146*20*639.566 = 29,335.14 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(2,150.9337 - 1,831.0931 + 2*0*1*(1*23 - 1*10.46))*1,305.236
=
4,174.68 kgf
W1-1 =
(A5 + A42 + A43)*Sv
=
(4,901.9899 + 195.9996 + 399.9992)*1,305.236
=
71,761.78 kgf
Load for path 1-1 lesser of W or W1-1 = 4,174.68 kgf
Path 1-1 through (1) & (2) = 32,208.38 + 29,335.14 = 61,543.51 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
135
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
22.1309 72.6689 17.689 --
A5
-- 49.0199
A
welds
treq
tmin
5.96
8.11
64.5
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load
Weld load
Path 1-1
Weld load
Path 2-2
W
W1-1
strength
W2-2
strength
6,251
77,368
66,352
--
--
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
Required thickness tr from UG-37(a)(b)
tr
=
P*Di / (2*cos(a)*(S*E - 0.6*P))
=
5.3851*4,627.18 / (2*cos(35.38)*(1,407.2073*1 - 0.6*5.3851))
=
10.88 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1) + Tapped hole area loss
136
=
(146*10.88*1 + 2*0*10.88*1*(1 - 1)) / 100 + 6.24
=
22.1309 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 17.689 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(146*(1*23 - 1*10.88) - 2*0*(1*23 - 1*10.88)*(1 - 1)) / 100
=
17.689 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*10.88) - 2*0*(1*23 - 1*10.88)*(1 - 1)) / 100
=
5.5735 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.0199 cm2
A1 + A42 + A43 + A5
Area =
=
17.689 + 1.96 + 4 + 49.0199
=
72.6689 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*73 / (1,407.2073*1 - 0.6*5.3851) + 0
=
0.28 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.28 , 0 ]
=
0.28 mm
137
tb1
tb1
tb
tUG-45
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
5.3851*4,627.18 / (2*cos(35.38)*(1,407.2073*1 - 0.6*5.3851)) + 0
=
10.88 mm
=
max[ tb1 , tb UG16 ]
=
max[ 10.88 , 1.5 ]
=
10.88 mm
=
min[ tb3 , tb1 ]
=
min[ 8.11 , 10.88 ]
=
8.11 mm
=
max[ ta , tb ]
=
max[ 0.28 , 8.11 ]
=
8.11 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Outer fillet weld in shear: 0.49*1,407.207 = 689.532 kgf/cm2
Lower fillet weld in shear: 0.49*1,407.207 = 689.532 kgf/cm2
(1) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*229*14*689.532 = 34,724.65 kgf
(2) Lower fillet weld in shear
(p / 2)*146*Leg*Sl = (p / 2)*146*20*689.532 = 31,626.95 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(2,213.0865 - 1,768.8997 + 2*0*1*(1*23 - 1*10.88))*1,407.207
=
6,250.63 kgf
W1-1 =
(A5 + A42 + A43)*Sv
=
(4,901.9899 + 195.9996 + 399.9992)*1,407.207
=
77,368.17 kgf
Load for path 1-1 lesser of W or W1-1 = 6,250.63 kgf
Path 1-1 through (1) & (2) = 34,724.65 + 31,626.95 = 66,351.6 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
138
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.28 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
17.6982 65.6437 10.6639 --
A5
A
welds
treq
tmin
5.96
2.78
64.5
-- 49.0199
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for external pressure 1.28 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
From UG-37(d)(1) required thickness tr = 15.7 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) + Tapped hole area loss
=
(0.5*(146*15.7*1 + 2*0*15.7*1*(1 - 1))) / 100 + 6.24
=
17.6982 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 10.6639 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
139
=
(146*(1*23 - 1*15.7) - 2*0*(1*23 - 1*15.7)*(1 - 1)) / 100
=
10.6639 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*15.7) - 2*0*(1*23 - 1*15.7)*(1 - 1)) / 100
=
3.36 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.0199 cm2
A1 + A42 + A43 + A5
Area =
=
10.6639 + 1.96 + 4 + 49.0199
=
65.6437 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-28
=
0.47 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
tb2
tb2
tb
=
max[ 0.47 , 0 ]
=
0.47 mm
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
1.2797*4,627.18 / (2*cos(35.38)*(1,305.2357*1 - 0.6*1.2797)) + 0
=
2.78 mm
=
max[ tb2 , tb UG16 ]
=
max[ 2.78 , 1.5 ]
=
2.78 mm
=
min[ tb3 , tb2 ]
140
tUG-45
=
min[ 8.11 , 2.78 ]
=
2.78 mm
=
max[ ta , tb ]
=
max[ 0.47 , 2.78 ]
=
2.78 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
38 / 229
=
0.1659
Do / t
=
229 / 0.47
=
488.8003
From table G:
A
=
0.000834
From table HA-1 Metric: B
=
469.1311 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*469.13 / (3*(229 / 0.47))
=
1.28 kg/cm2
Design thickness for external pressure Pa = 1.28 kg/cm2
ta
=
t + Corrosion
=
0.47 + 0 = 0.47 mm
141
Sight glass (48B (4"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Pad inner diameter =
100 mm
Shell opening diameter =
146 mm
Pad thickness =
38 mm
Tapped hole diameter =
13 mm
Tapped hole depth =
24 mm
Tapped hole bolt circle =
190.5 mm
Raised face height =
0 mm
Raised face outer diameter = 0 mm
Inner fillet =
14 mm
Lower fillet =
20 mm
Dp =
229 mm
te =
38 mm
Note: round inside edges per UG-76(c)
Note: Thread engagement shall comply with the requirements of UG-43(g).
Location and Orientation
Located on:
Bottom Transition
Orientation:
0°
Nozzle center/shell outer surface intersection to datum: -5,100 mm
End of nozzle to shell center:
800.96 mm
Located:
perpendicular to the cone surface
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-182 F304 <= 125 (II-D Metric p. 86, ln. 15)
Bolt material specification:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Corrosion allowance:
0 mm
Projection available outside vessel, Lpr:
38 mm
Local vessel minimum thickness:
23 mm
Liquid static head included:
0.177 kgf/cm2
Longitudinal joint efficiency:
1
142
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.98 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
11.3813 83.4186 28.4387 --
A5
-- 49.02
A
welds
treq
tmin
5.96
3.52
64.5
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load
Weld load
Path 1-1
Weld load
Path 2-2
W
W1-1
strength
W2-2
strength
-22,264
71,762
61,544
--
--
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for internal pressure 4.98 kgf/cm2 @ 170 °C
Pad Impact test exempt per UHA-51(g)(coincident ratio = 0.142)
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
Required thickness tr from UG-37(a)(b)
tr
=
P*Di / (2*cos(a)*(S*E - 0.6*P))
=
4.977*1,502.44 / (2*cos(35.38)*(1,305.2357*1 - 0.6*4.977))
=
3.52 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1) + Tapped hole area loss
143
=
(146*3.52*1 + 2*0*3.52*1*(1 - 1)) / 100 + 6.24
=
11.3813 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 28.4387 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(146*(1*23 - 1*3.52) - 2*0*(1*23 - 1*3.52)*(1 - 1)) / 100
=
28.4387 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*3.52) - 2*0*(1*23 - 1*3.52)*(1 - 1)) / 100
=
8.96 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.02 cm2
A1 + A42 + A43 + A5
Area =
=
28.4387 + 1.96 + 4 + 49.02
=
83.4186 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.9786*73 / (1,305.2357*1 - 0.6*4.9786) + 0
=
0.28 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.28 , 0 ]
=
0.28 mm
144
tb1
tb1
tb
tUG-45
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
4.977*1,502.44 / (2*cos(35.38)*(1,305.2357*1 - 0.6*4.977)) + 0
=
3.52 mm
=
max[ tb1 , tb UG16 ]
=
max[ 3.52 , 1.5 ]
=
3.52 mm
=
min[ tb3 , tb1 ]
=
min[ 8.11 , 3.52 ]
=
3.52 mm
=
max[ ta , tb ]
=
max[ 0.28 , 3.52 ]
=
3.52 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Outer fillet weld in shear: 0.49*1,305.236 = 639.566 kgf/cm2
Lower fillet weld in shear: 0.49*1,305.236 = 639.566 kgf/cm2
(1) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*229*14*639.566 = 32,208.38 kgf
(2) Lower fillet weld in shear
(p / 2)*146*Leg*Sl = (p / 2)*146*20*639.566 = 29,335.14 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(1,138.1326 - 2,843.8653 + 2*0*1*(1*23 - 1*3.52))*1,305.236
=
-22,263.85 kgf
W1-1 =
(A5 + A42 + A43)*Sv
=
(4,902 + 195.9996 + 399.9992)*1,305.236
=
71,761.91 kgf
Load for path 1-1 lesser of W or W1-1 = -22,263.85 kgf
Path 1-1 through (1) & (2) = 32,208.38 + 29,335.14 = 61,543.51 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
145
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
11.3999 83.3999 28.4199 --
A5
-- 49.02
A
welds
treq
tmin
5.96
3.53
64.5
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load
Weld load
Path 1-1
Weld load
Path 2-2
W
W1-1
strength
W2-2
strength
-23,951
77,368
66,352
--
--
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Pad Impact test exempt per UHA-51(g)(coincident ratio = 0.142)
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
Required thickness tr from UG-37(a)(b)
tr
=
P*Di / (2*cos(a)*(S*E - 0.6*P))
=
5.3851*1,502.44 / (2*cos(35.38)*(1,407.2073*1 - 0.6*5.3851))
=
3.53 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1) + Tapped hole area loss
146
=
(146*3.53*1 + 2*0*3.53*1*(1 - 1)) / 100 + 6.24
=
11.3999 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 28.4199 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(146*(1*23 - 1*3.53) - 2*0*(1*23 - 1*3.53)*(1 - 1)) / 100
=
28.4199 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*3.53) - 2*0*(1*23 - 1*3.53)*(1 - 1)) / 100
=
8.9542 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.02 cm2
A1 + A42 + A43 + A5
Area =
=
28.4199 + 1.96 + 4 + 49.02
=
83.3999 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*73 / (1,407.2073*1 - 0.6*5.3851) + 0
=
0.28 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.28 , 0 ]
=
0.28 mm
147
tb1
tb1
tb
tUG-45
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
5.3851*1,502.44 / (2*cos(35.38)*(1,407.2073*1 - 0.6*5.3851)) + 0
=
3.53 mm
=
max[ tb1 , tb UG16 ]
=
max[ 3.53 , 1.5 ]
=
3.53 mm
=
min[ tb3 , tb1 ]
=
min[ 8.11 , 3.53 ]
=
3.53 mm
=
max[ ta , tb ]
=
max[ 0.28 , 3.53 ]
=
3.53 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Outer fillet weld in shear: 0.49*1,407.207 = 689.532 kgf/cm2
Lower fillet weld in shear: 0.49*1,407.207 = 689.532 kgf/cm2
(1) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*229*14*689.532 = 34,724.65 kgf
(2) Lower fillet weld in shear
(p / 2)*146*Leg*Sl = (p / 2)*146*20*689.532 = 31,626.95 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(1,139.9868 - 2,841.9943 + 2*0*1*(1*23 - 1*3.53))*1,407.207
=
-23,950.8 kgf
W1-1 =
(A5 + A42 + A43)*Sv
=
(4,902 + 195.9996 + 399.9992)*1,407.207
=
77,368.31 kgf
Load for path 1-1 lesser of W or W1-1 = -23,950.8 kgf
Path 1-1 through (1) & (2) = 34,724.65 + 31,626.95 = 66,351.6 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
148
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.28 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2 A3
17.6982 65.6438 10.6639 --
A5
-- 49.02
A
welds
treq
tmin
5.96
1.5
64.5
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld
Actual weld
throat size (mm) throat size (mm)
9.5
9.8 weld size is adequate
13.3
14
weld size is adequate
(corroded)
Pad to shell fillet (Leg42)
Nozzle to inside shell fillet (Leg43)
Status
Calculations for external pressure 1.28 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(146, 73 + (0) + (23 - 0))
=
146 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23 - 0), 2.5*(0) + 38)
=
38 mm
From UG-37(d)(1) required thickness tr = 15.7 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1)) + Tapped hole area loss
=
(0.5*(146*15.7*1 + 2*0*15.7*1*(1 - 1))) / 100 + 6.24
=
17.6982 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 10.6639 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
149
=
(146*(1*23 - 1*15.7) - 2*0*(1*23 - 1*15.7)*(1 - 1)) / 100
=
10.6639 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23 + 0)*(1*23 - 1*15.7) - 2*0*(1*23 - 1*15.7)*(1 - 1)) / 100
=
3.36 cm2
Area A2 is not included in these calculations.
A42
A43
A5
=
Leg2*fr4
=
(142*1) / 100
=
1.96 cm2
=
Leg2*fr2
=
(202*1) / 100
=
4 cm2
=
(Dp - Pad ID)*te*fr4
=
((229 - 100)*38*1) / 100
=
49.02 cm2
A1 + A42 + A43 + A5
Area =
=
10.6639 + 1.96 + 4 + 49.02
=
65.6438 cm2
As Area >= A the reinforcement is adequate.
UW-16(d)(2) Weld Check
tmin = lesser of 19 mm or te or t = 19 mm
Inner fillet:
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm
The fillet weld size is satisfactory.
Lower fillet:
tw(min) = 0.7*tmin = 13.3 mm
tw(actual) = 0.7*Leg = 0.7*20 = 14 mm
The fillet weld size is satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-28
=
0.47 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
tb2
tb2
tb
=
max[ 0.47 , 0 ]
=
0.47 mm
=
P*Di / (2*cos(a)*(S*E - 0.6*P)) + Corrosion
=
1.2797*1,502.44 / (2*cos(35.38)*(1,305.2357*1 - 0.6*1.2797)) + 0
=
0.9 mm
=
max[ tb2 , tb UG16 ]
=
max[ 0.9 , 1.5 ]
=
1.5 mm
=
min[ tb3 , tb2 ]
150
tUG-45
=
min[ 8.11 , 1.5 ]
=
1.5 mm
=
max[ ta , tb ]
=
max[ 0.47 , 1.5 ]
=
1.5 mm
Available nozzle wall thickness new, tn = 64.5 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
38 / 229
=
0.1659
Do / t
=
229 / 0.47
=
488.8003
From table G:
A
=
0.000834
From table HA-1 Metric: B
=
469.1307 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*469.13 / (3*(229 / 0.47))
=
1.28 kg/cm2
Design thickness for external pressure Pa = 1.28 kg/cm2
ta
=
t + Corrosion
=
0.47 + 0 = 0.47 mm
151
For 50 &51 conn. (50, 51 (6"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 23.8 mm
Leg41 =
9 mm
tw(upper) = 25 mm
Leg42 =
18 mm
Dp =
300 mm
te =
25 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
Top Ellipsoidal Head
Orientation:
165°
End of nozzle to datum line:
11,384.62 mm
Calculated as hillside:
No
Distance to head center, R:
1,800 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
Yes
Material specification:
SA-312 TP304 Wld & smls pipe (II-D Metric p. 86, ln. 36)
Description:
NPS 6 Sch 40S (Std) DN 150
Inside diameter, new:
154.05 mm
Nominal wall thickness:
7.11 mm
Corrosion allowance:
0 mm
Projection available outside vessel, Lpr:
667.1 mm
Projection available outside vessel to flange face, Lf: 756 mm
Local vessel minimum thickness:
23.8 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
Reinforcing Pad
Material specification:
SA-240 304 (II-D Metric p. 86, ln. 25)
Diameter:
300 mm
Is split:
No
ASME B16.5-2009 Flange
Description:
NPS 6 Class 150 WN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
Yes
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
152
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Circumferential joint radiography:
Full UW-11(a) Type 1
153
Reinforcement Calculations for Chamber MAWP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 4.8 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
21.6774 55.8635 14.9864 5.8419 -- 32.93 2.1052
treq
tmin
0.28
6.22
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load Path 1-1 Weld load
W1-1
W2-2
W
strength
10,540
53,354
70,699
13,101
Path 2-2
Weld load
Path 3-3
strength
W3-3
strength
139,804
57,773
115,012
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
Nozzle to pad fillet (Leg41)
Status
4.98
6.3 weld size is adequate
9.5
12.6 weld size is adequate
4.98
25 weld size is adequate
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
size (mm)
Calculations for internal pressure 4.8 kgf/cm2 @ 170 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.0423).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(154.05, 77.03 + (7.11 - 0) + (23.8 - 0))
=
154.05 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(7.11 - 0) + 25)
=
42.78 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
4.8*77.03 / (1,305.2357*1 - 0.6*4.8)
=
0.28 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
4.8*0.9*8,500 / (2*1,305.2357*1 - 0.2*4.8)
=
14.07 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
154
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(154.05*14.07*1 + 2*7.11*14.07*1*(1 - 1)) / 100
=
21.6774 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 14.9864 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(154.05*(1*23.8 - 1*14.07) - 2*7.11*(1*23.8 - 1*14.07)*(1 - 1)) / 100
=
14.9864 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 7.11)*(1*23.8 - 1*14.07) - 2*7.11*(1*23.8 - 1*14.07)*(1 - 1)) / 100
=
6.0142 cm2
A2 = smaller of the following= 5.8419 cm2
A41
A42
=
5*(tn - trn)*fr2*t
=
(5*(7.11 - 0.28)*1*23.8) / 100
=
8.1245 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(7.11 - 0.28)*(2.5*7.11 + 25)*1) / 100
=
5.8419 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(11.382*1) / 100
=
1.2948 cm2
(Part of the weld is outside of the limits)
A5
=
(Dp - d - 2*tn)*te*fr4
=
((300 - 154.05 - 2*7.11)*25*1) / 100
=
32.93 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
14.9864 + 5.8419 + 0.8103 + 1.2948 + 32.93
=
55.8635 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
155
tmin = lesser of 19 mm or tn or te = 7.11 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 4.98 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*18 = 12.6 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
Interpretation VIII-1-83-66 has been applied.
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
4.8*77.03 / (1,305.2357*1 - 0.6*4.8) + 0
=
0.28 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.28 , 0 ]
=
0.28 mm
Available nozzle wall thickness new, tn = 0.875*7.11 = 6.22 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,305.236 = 965.874 kgf/cm2
Nozzle wall in shear:
0.7*1,305.236 = 913.665 kgf/cm2
Inner fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Outer fillet weld in shear:
0.49*1,305.236 = 639.566 kgf/cm2
Upper groove weld in tension: 0.74*1,305.236 = 965.874 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*168.28*9*639.566 = 15,214.84 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*300*18*639.566 = 54,249.01 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*161.16*7.11*913.665 = 16,449.94 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*168.28*23.8*965.874 = 60,762.76 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*168.28*25*965.874 = 63,826.43 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(2,167.7441 - 1,498.6422 + 2*7.11*1*(1*23.8 - 1*14.07))*1,305.236
=
10,539.51 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
156
=
(584.1924 + 3,293 + 81.0321 + 129.4836)*1,305.236
=
53,354.27 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(584.1924 + 0 + 81.0321 + 0 + 2*7.11*23.8*1)*1,305.236
=
13,101.39 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(584.1924 + 0 + 3,293 + 81.0321 + 129.4836 + 0 + 2*7.11*23.8*1)*1,305.236
=
57,772.91 kgf
Load for path 1-1 lesser of W or W1-1 = 10,539.51 kgf
Path 1-1 through (2) & (3) = 54,249.01 + 16,449.94 = 70,698.95 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 10,539.51 kgf
Path 2-2 through (1), (4), (6) = 15,214.84 + 60,762.76 + 63,826.43 = 139,804.03 kgf
Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 10,539.51 kgf
Path 3-3 through (2), (4) = 54,249.01 + 60,762.76 = 115,011.77 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
157
Reinforcement Calculations for Chamber MAP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For P = 5.39 kgf/cm2 @ 17 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
22.5578 54.9745 14.1064 5.8329 -- 32.93 2.1052
treq
tmin
0.29
6.22
UG-41 Weld Failure Path Analysis Summary (kgf)
All failure paths are stronger than the applicable weld loads
Weld load Weld load Path 1-1 Weld load
W1-1
W2-2
W
strength
13,726
57,510
76,222
14,112
Path 2-2
Weld load
Path 3-3
strength
W3-3
strength
150,726
62,274
123,997
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
size (mm)
Nozzle to pad fillet (Leg41)
Status
4.98
6.3 weld size is adequate
9.5
12.6 weld size is adequate
4.98
25 weld size is adequate
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
size (mm)
Calculations for internal pressure 5.39 kgf/cm2 @ 17 °C
Nozzle Impact test exempt per UHA-51(g)(coincident ratio = 0.0423).
Pad rated MDMT per UHA-51(d)(1)(a) = -196 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(154.05, 77.03 + (7.11 - 0) + (23.8 - 0))
=
154.05 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(7.11 - 0) + 25)
=
42.78 mm
Nozzle required thickness per UG-27(c)(1)
trn
=
P*Rn / (Sn*E - 0.6*P)
=
5.3851*77.03 / (1,407.2073*1 - 0.6*5.3851)
=
0.29 mm
Required thickness tr from UG-37(a)(c)
tr
=
P*K1*D / (2*S*E - 0.2*P)
=
5.3851*0.9*8,500 / (2*1,407.2073*1 - 0.2*5.3851)
=
14.64 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1,407.207, Sv = 1,407.207, Sp = 1,407.207 kgf/cm2
158
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
d*tr*F + 2*tn*tr*F*(1 - fr1)
=
(154.05*14.64*1 + 2*7.11*14.64*1*(1 - 1)) / 100
=
22.5578 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 14.1064 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(154.05*(1*23.8 - 1*14.64) - 2*7.11*(1*23.8 - 1*14.64)*(1 - 1)) / 100
=
14.1064 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 7.11)*(1*23.8 - 1*14.64) - 2*7.11*(1*23.8 - 1*14.64)*(1 - 1)) / 100
=
5.6613 cm2
A2 = smaller of the following= 5.8329 cm2
A41
A42
=
5*(tn - trn)*fr2*t
=
(5*(7.11 - 0.29)*1*23.8) / 100
=
8.1129 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(7.11 - 0.29)*(2.5*7.11 + 25)*1) / 100
=
5.8329 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(11.382*1) / 100
=
1.2948 cm2
(Part of the weld is outside of the limits)
A5
=
(Dp - d - 2*tn)*te*fr4
=
((300 - 154.05 - 2*7.11)*25*1) / 100
=
32.93 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
14.1064 + 5.8329 + 0.8103 + 1.2948 + 32.93
=
54.9745 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
159
tmin = lesser of 19 mm or tn or te = 7.11 mm
Inner fillet:
tc(min) = lesser of 6 mm or 0.7*tmin = 4.98 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*18 = 12.6 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
Interpretation VIII-1-83-66 has been applied.
ta UG-27
ta
=
P*R / (S*E - 0.6*P) + Corrosion
=
5.3851*77.03 / (1,407.2073*1 - 0.6*5.3851) + 0
=
0.29 mm
=
max[ ta UG-27 , ta UG-22 ]
=
max[ 0.29 , 0 ]
=
0.29 mm
Available nozzle wall thickness new, tn = 0.875*7.11 = 6.22 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45 and UW-15(c)
Groove weld in tension:
0.74*1,407.207 = 1,041.333 kgf/cm2
Nozzle wall in shear:
0.7*1,407.207 =
985.045 kgf/cm2
Inner fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Outer fillet weld in shear:
0.49*1,407.207 =
689.532 kgf/cm2
Upper groove weld in tension: 0.74*1,407.207 = 1,041.333 kgf/cm2
Strength of welded joints:
(1) Inner fillet weld in shear
(p / 2)*Nozzle OD*Leg*Si = (p / 2)*168.28*9*689.532 = 16,403.5 kgf
(2) Outer fillet weld in shear
(p / 2)*Pad OD*Leg*So = (p / 2)*300*18*689.532 = 58,487.21 kgf
(3) Nozzle wall in shear
(p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*161.16*7.11*985.045 = 17,735.09 kgf
(4) Groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*168.28*23.8*1,041.333 = 65,509.85 kgf
(6) Upper groove weld in tension
(p / 2)*Nozzle OD*tw*Sg = (p / 2)*168.28*25*1,041.333 = 68,812.87 kgf
Loading on welds per UG-41(b)(1)
W
=
(A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
=
(2,255.7842 - 1,410.6423 + 2*7.11*1*(1*23.8 - 1*14.64))*1,407.207
=
13,725.77 kgf
W1-1 =
(A2 + A5 + A41 + A42)*Sv
160
=
(583.2892 + 3,293 + 81.0321 + 129.4836)*1,407.207
=
57,509.87 kgf
W2-2 =
(A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
=
(583.2892 + 0 + 81.0321 + 0 + 2*7.11*23.8*1)*1,407.207
=
14,112.23 kgf
W3-3 =
(A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
=
(583.2892 + 0 + 3,293 + 81.0321 + 129.4836 + 0 + 2*7.11*23.8*1)*1,407.207
=
62,273.71 kgf
Load for path 1-1 lesser of W or W1-1 = 13,725.77 kgf
Path 1-1 through (2) & (3) = 58,487.21 + 17,735.09 = 76,222.31 kgf
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 13,725.77 kgf
Path 2-2 through (1), (4), (6) = 16,403.5 + 65,509.85 + 68,812.87 = 150,726.22 kgf
Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 13,725.77 kgf
Path 3-3 through (2), (4) = 58,487.21 + 65,509.85 = 123,997.06 kgf
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
161
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary (cm2)
UG-45 Nozzle Wall
Thickness Summary (mm)
For Pe = 1.11 kgf/cm2 @ 170 °C
The nozzle passes UG-45
The opening is adequately reinforced
A
required
A
available
A1
A2
A3
A
welds
A5
18.3315 40.1977 0.0013 5.1613 -- 32.93 2.1052
treq
tmin
1.08
6.22
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Required weld Actual weld
Nozzle to pad fillet (Leg41)
Pad to shell fillet (Leg42)
Nozzle to pad groove (Upper)
size (mm)
size (mm)
Status
4.98
6.3 weld size is adequate
9.5
12.6 weld size is adequate
4.98
25 weld size is adequate
Calculations for external pressure 1.11 kgf/cm2 @ 170 °C
Parallel Limit of reinforcement per UG-40
LR
=
MAX(d, Rn + (tn - Cn) + (t - C))
=
MAX(154.05, 77.03 + (7.11 - 0) + (23.8 - 0))
=
154.05 mm
Outer Normal Limit of reinforcement per UG-40
LH
=
MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
=
MIN(2.5*(23.8 - 0), 2.5*(7.11 - 0) + 25)
=
42.78 mm
Nozzle required thickness per UG-28 trn = 1.08 mm
From UG-37(d)(1) required thickness tr = 23.8 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1,305.236, Sv = 1,305.236, Sp = 1,305.236 kgf/cm2
fr1 = lesser of 1 or Sn / Sv = 1
fr2 = lesser of 1 or Sn / Sv = 1
fr3 = lesser of fr2 or Sp / Sv = 1
fr4 = lesser of 1 or Sp / Sv = 1
A
=
0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
=
(0.5*(154.05*23.8*1 + 2*7.11*23.8*1*(1 - 1))) / 100
=
18.3315 cm2
162
Area available from FIG. UG-37.1
A1 = larger of the following= 0.0013 cm2
=
d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(154.05*(1*23.8 - 1*23.8) - 2*7.11*(1*23.8 - 1*23.8)*(1 - 1)) / 100
=
0.0013 cm2
=
2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
=
(2*(23.8 + 7.11)*(1*23.8 - 1*23.8) - 2*7.11*(1*23.8 - 1*23.8)*(1 - 1)) / 100
=
0.0006 cm2
A2 = smaller of the following= 5.1613 cm2
A41
A42
=
5*(tn - trn)*fr2*t
=
(5*(7.11 - 1.08)*1*23.8) / 100
=
7.1787 cm2
=
2*(tn - trn)*(2.5*tn + te)*fr2
=
(2*(7.11 - 1.08)*(2.5*7.11 + 25)*1) / 100
=
5.1613 cm2
=
Leg2*fr3
=
(92*1) / 100
=
0.8103 cm2
=
Leg2*fr4
=
(11.382*1) / 100
=
1.2948 cm2
(Part of the weld is outside of the limits)
A5
=
(Dp - d - 2*tn)*te*fr4
=
((300 - 154.05 - 2*7.11)*25*1) / 100
=
32.93 cm2
Area =
A1 + A2 + A41 + A42 + A5
=
0.0013 + 5.1613 + 0.8103 + 1.2948 + 32.93
=
40.1977 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet:
tmin = lesser of 19 mm or tn or te = 7.11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.98 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet:
tmin = lesser of 19 mm or te or t = 19 mm
tw(min) = 0.5*tmin = 9.5 mm
tw(actual) = 0.7*Leg = 0.7*18 = 12.6 mm
UG-45 Nozzle Neck Thickness Check (Access Opening)
163
Interpretation VIII-1-83-66 has been applied.
ta UG-28
=
1.08 mm
ta
=
max[ ta UG-28 , ta UG-22 ]
=
max[ 1.08 , 0 ]
=
1.08 mm
Available nozzle wall thickness new, tn = 0.875*7.11 = 6.22 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 170 °C) UG-28(c)
L / Do
=
756.01 / 168.27
=
4.4927
Do / t
=
168.27 / 1.08
=
155.9139
From table G:
A
=
0.000142
From table HA-1 Metric: B
=
129.7947 kg/cm2
Pa
=
4*B / (3*(Do / t))
=
4*129.79 / (3*(168.27 / 1.08))
=
1.11 kg/cm2
Design thickness for external pressure Pa = 1.11 kg/cm2
ta
=
t + Corrosion
=
1.08 + 0 = 1.08 mm
164
Lifting Lugs
Geometry Inputs
Attached To
Shell
Material
A 283-C
Distance of Lift Point From Datum 9,614 mm
Angular Position
0.00° and 180.00°
Length of Lug, L
952 mm
Width of Lug, B
500 mm
Thickness of Lug, t
70 mm
Hole Diameter, d
170 mm
Pin Diameter, Dp
100 mm
Lug Diameter at Pin, D
500 mm
Weld Size, tw
30 mm
Weld Length, b1
165 mm
Weld Length, d2
310 mm
Width of Pad, Bp
800 mm
Length of Pad, Lp
450 mm
Pad Thickness, tp
23 mm
Pad Weld Size, twp
23 mm
Weld Length, L3
400 mm
Length to Brace Plate, L1
200 mm
Load Angle from Vertical, f
0.0000 °
Has Brace Plate
Yes
Intermediate Values
Load Factor
1.2500
Vessel Weight (new, incl. Load Factor), W
139463 kg
Lug Weight (new), Wlug
1059 kg (Qty=2)
Distance from Center of Gravity to Top Lug, l1
6,215.46 mm
Distance from Center of Gravity to Tail Lug, l2
6,543.54 mm
Distance from Vessel Center Line to Tail Lug, l3
4,481 mm
Allowable Stress, Tensile, st
1264.201 kg/cm²
Allowable Stress, Shear, ss
842.800 kg/cm²
Allowable Stress, Bearing, sp
1896.301 kg/cm²
Allowable Stress, Bending, sb
1390.621 kg/cm²
165
Allowable Stress, Weld Shear, tallowable
842.800 kg/cm²
Allowable Stress set to 1/3 Sy per ASME B30.20 No
Summary Values
Required Lift Pin Diameter, dreqd
72.58 mm
Required Lug Thickness, treqd
36.77 mm
Estimated Brace Plate Length
213.65 mm
Lug Stress Ratio, sratio
0.9
Weld Shear Stress Ratio, tratio
0.43
Lug Design
Acceptable
Local Stresses WRC 107
Acceptable
Maximum Out of Plane Lift Angle - Weak Axis Bending 22.15°
COMPRESS recommends a spreader beam be used to prevent weak axis bending of the top lugs.
Ear lug brace plate should be removed before vessel is put in service.
Lift Forces
Lift force on lugs during rotational lift (0° ≤ a ≤ 90°):
2*Ftop = W*(l2*cos(a) + l3*sin(a)) / (l1*cos(a) + l2*cos(a) + l3*sin(a) )
Ftail = W - (2*F)
a [°]
Ftop[kgf]
Ftail[kgf]
0
35,762.2
67,938.3
15
38,683.7
62,095.1
30
41,488.9
56,484.7
45
44,591.4
50,279.8
60
48,609.9
42,242.7
75
55,030.9
29,400.7
90
69,731.3
0
211
39,797.9
59,866.8
192
39,427.2
60,608.1
223
39,983.1
59,496.3
1Lift angle at maximum lug stress.
2Lift angle at maximum weld stress.
3Lift angle at maximum pad weld stress.
Shell angle at lift lug
0.00°
Lug Pin Diameter - Shear stress
dreqd
=
(2*Fv / (p*ss))0.5
=
(2*69,731.3 / (p*842.8))0.5
=
72.58 mm
72.58 / 100
=
0.73
dreqd / Dp =
Acceptable
166
s
s / ss
=
Fv / A
=
Fv / (2*(0.25*p*Dp2))
=
69,731.3 / (2*(0.25*p*1002)) =
443.9 kg/cm2
=
443.9 / 842.8
0.53
=
Acceptable
Lug Thickness - Tensile stress
treqd
=
Fv / ((D - d)*st)
=
69,731.3 / ((500 - 170)*1,264.2) =
16.71 mm
treqd / t =
16.71 / 70
=
0.24
s
=
Fv / A
=
Fv / ((D - d)*t)
=
69,731.3 / ((500 - 170)*70)
=
301.9 kg/cm2
=
301.9 / 1,264.2
=
0.24
s / st
Acceptable
Acceptable
Lug Thickness - Bearing stress
treqd
=
Fv / (Dp*sp)
=
69,731.3 / (100*1,896.3) =
36.77 mm
36.77 / 70
0.53
treqd / t =
s
s / sp
=
=
Fv / Abearing
Acceptable
=
Fv / (Dp*(t))
=
69,731.3 / (100*(70)) =
996.2 kg/cm2
=
996.2 / 1,896.3
0.53
=
Acceptable
Lug Thickness - Shear stress
treqd
=
[Fv / ss] / (2*Lshear)
=
(69,731.3 / 842.8) / (2*171.33) =
24.15 mm
24.15 / 70
0.34
treqd / t =
t
t / ss
=
=
Fv / Ashear
=
Fv / (2*t*Lshear )
=
69,731.3 / (2*70*171.33) =
290.7 kg/cm2
=
290.7 / 842.8
0.34
=
Acceptable
Acceptable
Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)
f
Z
Z1
Lshear
=
55*Dp / d
=
55*100 / 170
=
32.3529°
=
0.5*(D - d) + 0.5*Dp*(1 - cos(f))
=
0.5*(500 - 170) + 0.5*100*(1 - cos(32.3529))
=
172.76 mm
=
0.5*D - sqr(0.25*D*D - (0.5*Dp*sin(f))2)
=
0.5*500 - sqr(0.25*500*500 - (0.5*100*sin(32.3529))2)
=
1.44 mm
=
Z - Z1
=
171.33 mm
Lug Plate Stress
Lug stress, tensile + bending, during rotational lift:
167
s ratio
=
[Ften / (Aten*st)] + [Mbend / (Zbend*sb)] ≤ 1
=
[(Ftop(a)*sin(a) ) / (t*B*st)] + [(6*Ftop(a) *L*cos(a) ) / (t*B2 * sb)] ≤ 1
=
39,797.9*sin(21.0) / (70*500*1,264.2) + 6*(39,797.9)*952*cos(21.0) / (70*5002*1,390.6)
=
0.90
Acceptable
Weak Axis Bending Stress
Maximum lift cable angle from vertical q = 22.15°
sb
=M / Z
F*cos(q) = 0.5*W
= (F*sin(q)* L1) / Z
=> F = 0.5*W / cos(q)
q
= arctan( (2*sb*Z ) / (W* L1) )
q
= arctan( (2*1,390.6*(500*702/6) ) / (139,462.6*200*100) ) = 22.15°
Loading on brace plate and head are not considered.
Weld Stress
Weld stress, direct and torsional shear, during rotational lift:
Direct shear:
Maximum weld shear stress occurs at lift angle 19.00°; lift force = 39,427.2 kgf
Aweld = A1 + A2 + A3 + A4 (brace plate)
= 0.707*tw*((d1 + b1) + (2*d2 + b2) + (d3 + b3) + B)
= 0.707*30*((400 + 165) + (2*310 + 170) + (400 + 165) + 500)
= 11,983.65 + 16,755.9 + 11,983.65 + 10,605
tt
= Fr*cos(a) / Aweld
= 39,427.2*cos(19.0) / 51,328.2 = 72.6 kg/cm2
ts
= Fr*sin(a) / Aweld
= 39,427.2*sin(19.0) / 51,328.2 = 25 kg/cm2
Torsional shear:
Weld centroid:
Weld areas
Ai
= 0.707*tw*Li
A1
= 0.707*30*400 = 8,484 mm2
A2
= 0.707*30*165 = 3,499.65 mm2
A3
= 0.707*30*310 = 6,575.1 mm2
A4
= 0.707*30*170 = 3,605.7 mm2
A5
= 0.707*30*310 = 6,575.1 mm2
A6
= 0.707*30*165 = 3,499.65 mm2
= 51,328.2 mm2
168
A7
= 0.707*30*400 = 8,484 mm2
A8
= 0.707*30*500 = 10,605 mm2 (brace plate)
Aweld torsion = S Ai
= 51,328.2 mm2
Weld centroid locations
x1 = 0 mm
y1 = 200 mm
x2 = 82.5 mm
y2 = 0 mm
x3 = 165 mm
y3 = 155 mm
x4 = 250 mm
y4 = 310 mm
x5 = 335 mm
y5 = 155 mm
x6 = 417.5 mm
y6 = 0 mm
x7 = 500 mm
y7 = 200 mm
x8 = 250 mm
y8 = 1,152 mm
Xbar = S (Ai*xi) / SAi
Ybar = S (Ai*yi) / SAi
Xbar =
(8,484*0 + 3,499.65*82.5 + 6,575.1*165 + 3,605.7*250 + 6,575.1*335 + 3,499.65*417.5 + 8,484*500 +
10,605*250 ) / 51,328.2
= 250 mm
Ybar =
(8,484*200 + 3,499.65*0 + 6,575.1*155 + 3,605.7*310 + 6,575.1*155 + 3,499.65*0 + 8,484*200 +
10,605*1,152 ) / 51,328.2
= 365.62
mm
Radius to centroid locations
ri = sqr((Xbar - xi)2 + (Ybar - yi)2 )
r1 = sqr( (250 - 0)2 + (365.62 - 200)2 )
= 299.88 mm
r2 = sqr( (250 - 82.5)2 + (365.62 - 0)2 )
= 402.16 mm
r3 = sqr( (250 - 165)2 + (365.62 - 155)2 )
= 227.12 mm
r4 = sqr( (250 - 250)2 + (365.62 - 310)2 )
= 55.62 mm
r5 = sqr( (250 - 335)2 + (365.62 - 155)2 )
= 227.12 mm
r6 = sqr( (250 - 417.5)2 + (365.62 - 0)2 )
= 402.16 mm
r7 = sqr( (250 - 500)2 + (365.62 - 200)2 )
= 299.88 mm
r8 = sqr( (250 - 250)2 + (365.62 - 1,152)2 ) = 786.38 mm
Polar Moment of Area
Ji = 0.707*tw*(Li3) / 12
J1 = 0.707*30*(4003) / 12 = 113120000 mm4
J2 = 0.707*30*(1653) / 12 = 7939830.9375 mm4
J3 = 0.707*30*(3103) / 12 = 52655592.5 mm4
J4 = 0.707*30*(1703) / 12 = 8683727.5 mm4
J5 = 0.707*30*(3103) / 12 = 52655592.5 mm4
J6 = 0.707*30*(1653) / 12 = 7939830.9375 mm4
J7 = 0.707*30*(4003) / 12 = 113120000 mm4
J8 = 0.707*30*(5003) / 12 = 220937500 mm4
J = S (Ji + Ai*ri2) Parallel axis theorem
[113120000.0000 + 8,484*(299.88)2 + (7939830.9375 + 3,499.65*(402.16)2) + (52655592.5000 +
J=
6,575.1*(227.12)2) + (8683727.5000 + 3,605.7*(55.62)2) + (52655592.5000 + 6,575.1*(227.12)2) +
(7939830.9375 + 3,499.65*(402.16)2) + (113120000.0000 + 8,484*(299.88)2) + (220937500.0000 +
10,605*(786.38)2) ]
Radial distance from centroid to weld:
= 10482591510 mm4
169
r = sqr( Xbar2 + ((L3 + L - L1) - Ybar)2 )
= sqr( 2502 + (1,152 - 365.62)2 )
= 825.16 mm
qr = arctan( ((L3 + L - L1) - Ybar) / (Xbar) )
= arctan( 786.38 / 250 )
t2
= 72.36°
=M * r / J
= [F(a)*cos(a)*(L + L3 - Ybar)] * r / J
= (39,427.2*cos(19.0)*986.38)*825.16 / 10482591509.9587
= 289.5 kg/cm2
t ratio
= sqr( (tt + t2*sin(qr))2 + (ts + t2*cos(qr))2 ) / tallowable ≤ 1
= sqr ( (72.6 + 289.5*sin(72.36))2 + (25 + 289.5*cos(72.36) )2 ) / 842.8
= 0.43
Acceptable
Pad Weld Stress
Direct shear:
Maximum weld shear stress occurs at lift angle 22.00°; lift force = 39,983.1 kgf
Aweld = 0.707*twp*(2*Lp + Bp)
= 0.707*23*(2*450 + 800) = 27,643.7 mm2
tt
= Fr*cos(a) / Aweld
= 39,983.1*cos(22.0) / 27,643.7 = 134.1 kg/cm2
ts
= Fr*sin(a) / Aweld
= 39,983.1*sin(22.0) / 27,643.7 = 54.2 kg/cm2
Torsional shear:
Weld centroid:
Ybarp = Lp2 / (2*Lp + Bp)
= 4502 / (2*450 + 800) = 119.12 mm
Second polar moment of area:
Jp = 0.707*twp*((8*Lp3 + 6*Lp*Bp2 + Bp3) / 12 - Lp4 / (2*Lp + Bp))
= 0.707*23* ( (8*4503 + 6*450*8002 + 8003) / 12 - 4504 / (2*450 + 800)) = 3631005575 mm4
Radial distance from centroid to weld:
rp = sqr( (Xbarp)2 + (Lp - Ybarp)2 )
= sqr( (0.5*800)2 + (450 - 119.12)2 ) = 519.12 mm
qr = arctan( (Lp - Ybarp) / (Xbarp) )
= arctan( 330.88 / 400 )
t2
= 39.60°
= M * rp / Jp
= [F(a)*cos(a)*(L + Lp - Ybarp)] * rp / Jp
= (39,983.1*cos(22.0)*1,282.88)*519.12 / 3631005574.7549
= 679.9 kg/cm2
t ratio
= sqr( (tt + t2*sin(qr))2 + (ts + t2*cos(qr))2 ) / tallowable ≤ 1
170
= sqr ( (134.1 + 679.9*sin(39.60))2 + (54.2 + 679.9*cos(39.60) )2 ) / 842.8
= 0.96
Acceptable
WRC 107 Analysis
Geometry
Height(radial):
70 mm
Pad Thickness:
Pad Width:
800 mm
400 mm
Pad Length:
450 mm
23 mm
Width (circumferential): 500 mm
Length
23 mm
Fillet Weld Size:
30 mm
Pad Weld Size:
Located on:
Shell
(400 mm from top end)
Location Angle:
0.00° and 180.00°
Applied Loads
Maximum stress ratio occurs at lift angle = 90.00° with lift force = 69,731.3 kgf
Pr =
Radial load:
0 kgf
Circumferential moment: Mc =
0 kgf-m
Circumferential shear:
Vc =
Longitudinal moment:
ML = 4,044.42 kgf-m
Longitudinal shear:
VL = 69,731.35 kgf
Torsion moment:
Mt =
Internal pressure:
P=
Mean shell radius:
Rm =
0 kgf
0 kgf-m
0 kgf/cm2
4,259 mm
Sy = 2,110.81 kgf/cm2
Shell yield stress:
Design factor:
3
Maximum stresses due to the applied loads at the lug edge (includes pressure)
g = Rm / T = 4,259 / 41 = 103.878
C1 = 280, C2 = 230 mm
Local circumferential pressure stress = P*Ri / T =0 kgf/cm2
Local longitudinal pressure stress = P*Ri / (2*T) =0 kgf/cm2
Maximum combined stress (PL+Pb+Q) = -448.84 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-4,221.62 kgf/cm2
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = -83.95 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-2,110.81 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the lug edge per WRC Bulletin 107
Figure
value
b
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
17.0513
0.0592
0
0
0
0
0
0
0
0
4C*
17.8017
0.0625
0
0
0
0
0
0
0
0
1C
0.1275
0.0629
0
0
0
0
0
0
0
0
2C-1
0.0897
0.0629
0
0
0
0
0
0
0
0
3A*
3.0691
0.0616
0
0
0
0
0
0
0
0
1A
0.0928
0.0662
0
0
0
0
0
0
0
0
3B*
9.6856
0.0577
-83.946
-83.946
83.946
83.946
0
0
0
0
1B-1
0.048
0.0581 -279.962 279.962 279.962 -279.962
0
0
0
0
171
Pressure stress*
0
Total circumferential stress
Primary membrane circumferential stress*
0
0
0
0
0
0
0
-363.909 196.016 363.909 -196.016
0
0
0
0
-83.946
-83.946
83.946
83.946
0
0
0
0
3C*
16.5681
0.0625
0
0
0
0
0
0
0
0
4C*
17.9629
0.0592
0
0
0
0
0
0
0
0
1C-1
0.1335
0.0604
0
0
0
0
0
0
0
0
2C
0.0933
0.0604
0
0
0
0
0
0
0
0
4A*
4.3737
0.0616
0
0
0
0
0
0
0
0
2A
0.0538
0.0656
0
0
0
0
0
0
0
0
4B*
2.8676
0.0577
-22.569
-22.569
22.569
22.569
0
0
0
0
2B-1
0.0753
0.0599 -426.271 426.271 426.271 -426.271
0
0
0
0
0
0
0
0
0
-448.839 403.702 448.839 -403.702
0
0
0
0
Pressure stress*
0
Total longitudinal stress
Primary membrane longitudinal stress*
0
0
-22.569
-22.569
22.569
22.569
0
0
0
0
Shear from Mt
0
0
0
0
0
0
0
0
Circ shear from Vc
0
0
0
0
0
0
0
0
Long shear from VL
0
0
0
0 -184.837 -184.837 184.837 184.837
Total Shear stress
0
0
0
0 -184.837 -184.837 184.837 184.837
Combined stress (PL+Pb+Q)
-448.839 403.702 448.839 -403.702
369.674
369.674 369.674 369.674
Note: * denotes primary stress.
Maximum stresses due to the applied loads at the pad edge (includes pressure)
g = Rm / T = 4,259 / 18 = 236.6111
C1 = 423, C2 = 248 mm
Local circumferential pressure stress = P*Ri / T =0 kgf/cm2
Local longitudinal pressure stress = P*Ri / (2*T) =0 kgf/cm2
Maximum combined stress (PL+Pb+Q) = -1,188.19 kgf/cm2
Allowable combined stress (PL+Pb+Q) = +-3*S = +-4,221.62 kgf/cm2
The maximum combined stress (PL+Pb+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = -477.1 kgf/cm2
Allowable local primary membrane stress (PL) = +-1.5*S = +-2,110.81 kgf/cm2
The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure
value
b
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
3C*
24.0246
0.0744
0
0
0
0
0
0
0
0
4C*
32.5427
0.0882
0
0
0
0
0
0
0
0
1C
0.0693
0.0896
0
0
0
0
0
0
0
0
2C-1
0.0368
0.0896
0
0
0
0
0
0
0
0
3A*
9.5324
0.0831
0
0
0
0
0
0
0
0
1A
0.0754
0.0855
0
0
0
0
0
0
0
0
3B*
26.5377
0.0696
-477.103
-477.103
477.103
477.103
0
0
0
0
1B-1
0.029
0.0717
-711.084
711.084
711.084
-711.084
0
0
0
0
0
0
0
0
0
0
0
0
233.981 1,188.187
-233.981
0
0
0
0
Pressure stress*
Total circumferential stress
-1,188.187
172
Primary membrane circumferential stress*
-477.103
-477.103
477.103
477.103
0
0
0
0
3C*
20.6738
0.0882
0
0
0
0
0
0
0
0
4C*
34.7412
0.0744
0
0
0
0
0
0
0
0
1C-1
0.0806
0.0796
0
0
0
0
0
0
0
0
2C
0.0453
0.0796
0
0
0
0
0
0
0
0
17.5185
0.0831
0
0
0
0
0
0
0
0
0.039
0.0795
0
0
0
0
0
0
0
0
4B*
9.1823
0.0696
-113.124
-113.124
113.124
113.124
0
0
0
0
2B-1
0.0419
0.0706 -1,043.284 1,043.284 1,043.284 -1,043.284
0
0
0
0
4A*
2A
Pressure stress*
Total longitudinal stress
Primary membrane longitudinal stress*
0
-1,156.408
0
0
0
0
0
0
0
930.16 1,156.408
-930.16
0
0
0
0
-113.124
-113.124
113.124
113.124
0
0
0
0
Shear from Mt
0
0
0
0
0
0
0
0
Circ shear from Vc
0
0
0
0
0
0
0
0
Long shear from VL
0
0
0
0 -390.555 -390.555 390.555 390.555
Total Shear stress
0
0
0
0 -390.555 -390.555 390.555 390.555
Combined stress (PL+Pb+Q)
Note: * denotes primary stress.
-1,188.187
930.16 1,188.187
-930.16
781.11
781.11
781.11
781.11
173
ITEM NO. : FA202
Erection Design
1. CALCULATION OF TAILING LUG
Material
Allowable Stress
Yield Strength
Lifting Lug No.
Max. Force at Tailing Lug
Vertical Force per Lug
Lifting Angle
t
=
40.0 mm T =
R =
250.0 mm D1 =
H =
200.0 mm
L1 =
90.0 mm
D =
170.0 mm
L =
500.0 mm
Ma
=
Sa
=
Sy
=
N
=
TV
=
TV' = TV / N =
θ (max.
=
0.0 mm
0.0 mm
SA 283-C
11.01 kg/㎟
20.9 kg/㎟
2 ea
68218 kg [see Tailing Lug Cal., "Ftail"
34109.0 kg
15.0 °
θ°
TV
1-1) BEARING STRESS CHECK
S1 = TV' / [(t + 2*T) * D] =
5.016 kg/㎟
<
0.9 * Sy =
18.810 kg/㎟
; O.K !!
2.584 kg/㎟
<
0.4 * Sy =
8.360 kg/㎟
; O.K !!
13.709 kg/㎟
<
0.66 * Sy =
13.794 kg/㎟
; O.K !!
2.584 kg/㎟
<
Sa =
11.010 kg/㎟
; O.K !!
1-2) SHEAR STRESS IN LUG
S2 = TV'/{2*(t+2T)*(R-D/2)}=
1-3) BENDING STRESS IN LUG
2
S3 =6*Tan θ*TV'*H/(t *L) =
1-4) TENSILE STRESS IN LUG
S4 = TV'/{(t+2T)*(2*R-D)}=
1-5) SHEAR FORCE IN WELDMENT
Ws = TV' / {2*(L+L1)} =
28.906 kg/mm
FILLET WELD SIZE , W
W = Ws/(0.707*0.4*Sy)=
4.891 mm < USED WELD LEG LENGTH =
15.00 mm
; O.K !!
174
ITEM NO. : FA202
Erection Design
2. BASE BLOCK UNDER ERECTION CONDITION
2-1. SECTIONAL PROPERTIES OF BASE BLOCK
t1
=
t2
=
t3
=
t4
=
L2a =
L2b =
L3
=
L4
=
L
=
Di
=
13.00 mm
25.00 mm
0.00 mm
25.00 mm
90.00 mm
30.00 mm
0.00 mm
330.00 mm
0.00 mm
8510.00 mm
2-2. EFFECTIVE LENGTH OF SKIRT
Rm = (Di + t1) / 2 =
4261.50 mm
L1 = Min.( 0.78 * √(Rm * t1), 16*t1)
183.59 mm
2-3. SECTION AREA , A
A1
A2
A3
A4
=
=
=
=
t1
t2
t3
t4
*
*
*
*
(L + L1 + t3) =
(L2a + L2b) =
L3 =
L4 =
2386.7
3000.0
0.0
8250.0
TOTAL AREA, A =
㎟
㎟
㎟
㎟
13636.7 ㎟
2-4. CENTROID, C
h1
h2
h3
h4
=
=
=
=
L2a + t1 / 2 =
(L2a + L2b) / 2 =
L3 / 2 - (L3 - L2a) =
L2a + t1 + L4 / 2 =
96.5
0.0
90.0
268.0
mm
mm
mm
mm
C = [(A1 * h1) + (A2 * h2) + (A3 * h3) + (A4 * h4)] / A =
Y = (L2a + t1 + L4) - C =
179.03 mm
253.97 mm
2-5. MOMENT OF INERTIA OF AREA, I (ABOUT NEUTRAL AXIS)
I1
I2
I3
I4
=
=
=
=
(L + L1 + t3) * t1^3 / 12 + A1 * (h1 - C)^2 =
t2 * (L2a + L2b)^3 / 12 + A2 * (h2 - C)^2 =
t3 * L3^3 / 12 + A3 * (h3 - C)^2 =
t4 * L4^3 / 12 + A4 * (h4 - C)^2 =
TOTAL I = I1 + I2 + I3 + I4 =
16287949
99750599
0
140179271
mm^4
mm^4
mm^4
mm^4
256217820 mm^4
2-6. MIN. SECTION MODULUS, Z
Z1 = I / C =
Z2 = I / Y =
Z = Min.(Z1, Z2) =
1431179 mm^3
1008834 mm^3
1008834 mm^3
2-7. STRESS IN BASE BLOCK DUE TO TV
TV =
R =
Sy =
Z =
A =
68218.0 kg (Max. Force at Tailing Lug)
4178.97 mm (Radius to neutral axis
21.090 kg/㎟ (Yield Strength of Base)
1008834 kg/mm^3 (Section Modulus of Base)
13636.7 ㎟ (Section Area of Base)
a) BENDING MOMENT (Ma) & TANGENTIAL FORCE (Ta) AT BASE BLOCK
CASE ; NO BRACING : ROARK 6th ED. Table.17, Case 15
Ma = 0.2387 * TV * R = 68048899 kg-mm
16283.6 kg
Ta = 0.2387 * TV
σ = Ma / Z + Ta / A
68.647 kg/㎟
THEREFORE, BRACING IS REQUIRED !
>
0.66Sy =
13.919
; NOT O.K
175
ITEM No. : FA202
Total Tailing Weight =
t1 =
0.512
t2 =
0.984
t3 =
0.000
t4 =
0.984
L2a =
3.543
L2b =
1.181
L3 =
0.000
L4 =
12.992
L=
0.000
Di =
335.039
Location of Tail Lug(s),
Alpha =
Erection Calculation
150,392.42 lbs
68218 Kg
in. =
13.0
in. =
25.0
in. =
0.0
in. =
25.0
in. =
90.0
in. =
30.0
in. =
0.0
in. =
330.0
in. =
0.0
in. =
8510.0
L3
t1
1
3
mm
mm
mm
mm
mm
mm
mm
mm
mm
mm
Di - skirt inside radius
L1
L4
t3
L1
L
L1
t4
t2
2
L 2a
h2
37.00 deg.
L 2b
h1
R - radius of neutral axis
Skirt OD, Do = Di + 2 * t1 =
336.06299 in.
Effective Length, L1 = 0.55*(Do * t1)^0.5 =
7.21 in.
Total Effective Length, Le
Case 1: If 2.L1 < L then Le = t3 + L1 * 3
Case 2: If 2.L1 >= L then Le = t3 + L1 + L
2.L1 =
14.4264 in.
> or = L
====>> Le = t3 + L1 + L =
7.2132 in
Part #
1 skirt
2 base pl.
3 top rg.
4 stiff. rg.
Sum ====>>
Width
( in. )
7.2132
0.0000
0.0000
0.9843
h1 =
h2 =
Radius of Neutral Axis, R =
Height
( in. )
0.5118
4.7244
0.0000
12.9921
Center Line
Area
Location
( in^2 )
( in. )
3.6918
13.248
0.0000
2.362
0.0000
1.181
12.7875
6.496
16.4793
8.0087 in.
9.0386 in.
174.86 in.
203.42044
A*C
A * d^2
( in^4 )
48.91
101.34
0.00
0.00
0.00
0.00
83.07
29.26
131.98
Z1 =
Z2 =
I
( in^4 )
101.42
0.00
0.00
209.13
310.55
38.78 in^3
34.36 in^3
Note 1:
The lifting load at the tail end of the column should evenly distribute between the 2 tail lugs
With the stiffening beams considered rigid, the load at each tail lug would then evenly distibute
between the base ring block and the stiffening beam. Thus, at each tail lug the load on each
component (ring and beam) would be 1/4 of the total tailing load.
Note 2:
The calculations in this spread sheet only verify the adequacy of the base ring block
Required size of the stiffening beams shall be determined by additional design
176
ITEM No. : FA202
Erection Calculation
Base Ring Block Undergoing Load Wr = W1 - Ws = 0.25 * W
Reference:
Roark's Formulas for Stress & Strain - 7th Ed.
Table 9.2 - Case 4
Load, Wr = W / 4 =
Radius of Base Ring Neutral Center Line, R =
Point A - Angle, x =
Lift Point - Angle, Theta =
37,598.10 lbs
174.8591 in.
0 deg. =
37 deg. =
Ring Moment of Inertia, I =
Ring Cross Sectional Area, A =
Modulus of Elasticity, E =
z = sin(x) =
u = cos(x) =
s = sin(Theta) =
c = cos(Theta) =
0.0000 radians
0.6458 radians
310.55 in^4
16.48 in^2
29,500,000 psi
0.0000
1.0000
0.6018
0.7986
Consider Base Ring Block "Thin Ring":
Hoop Stress Deform. Factor, Alpha = I / (A.R^2) =
Transverse Shear Deform. Factor, Beta = F.E.I / (G.A.R^2) =
Constants
k1 = 1 - Alpha + Beta =
k2 = 1 - Alpha =
Load Terms
Step Function:
LTm = W.R.(z LTn = W.z.<x LTv = W.u.<x -
xTheta = <x - Theta>^0 =
s).<x - Theta>^0 =
Theta>^0 =
Theta>^0 =
0.0000
0.0000
1.00
1.00
0
0.00 lbs.in
0.00 lbs
0.00 lbs
Internal Moment @ A, Ma = -W.R.[s.(s-pi+Theta) + k2.(1+c)] / pi =
Internal Force @ A, Na = -W.s^2 / pi =
Internal Force @ A, Va =
Change in Vertical Diameter (vertical deflection)
Dv = - W.R^3.(pi.k1.(pi-Theta-s.c)/2 + k2.s.(pi-2.Theta) - 2.k2^2.(1+c)] / (E.I.pi) =
Change in Horizontal Diameter (horizontal deflection)
Dh = - W.R^3.[pi.k1.(1-s^2/2) - 2.k2.(pi-Theta.s) + 2.k2^2.(1+c)] / (E.I.pi) =
-1,378,650 lbs.in
-4,335 lbs
0 lbs
-4.7603 in
-4.6378 in
177
ITEM No. : FA202
Erection Calculation
Load Table:
Step Function:
LTm = W.R.(z LTn = W.z.<x LTv = W.u.<x -
<x - Theta>^0
s).<x - Theta>^0
Theta>^0
Theta>^0
M = Ma - Na.R.(1 - u) + Va.R.z + LTm
N = Na.u + Va.z + LTn
V = -Na.z + Va.u + LTv
Point A
x (deg.)
0
x (radians)
0.00
z
0.00
u
1.00
<x-Theta>^0
0.00
LTm
0.00
LTn
0.00
LTv
0.00
M
-1,378,650.29
N
-4,334.53
V
0.00
x (deg.)
x (radians)
z
u
<x-Theta>^0
LTm
LTn
LTv
M
N
V
90
1.57
1.00
0.00
1.00
2,617,815.21
37,598.10
0.00
1,997,097.00
37,598.10
4,334.53
Top Joint
32
37
0.56
0.65
0.53
0.60
0.85
0.80
0.00
1.00
0.00
0.00
0.00
22,627.10
0.00
30,027.18
-1,263,481.07 -1,226,029.68
-3,675.89
19,165.39
2,296.95
32,635.77
42
0.73
0.67
0.74
1.00
442,557.52
25,158.04
27,940.84
-741,413.99
21,936.86
30,841.20
30
0.52
0.50
0.87
0.00
0.00
0.00
0.00
-1,277,106.64
-3,753.81
2,167.27
45
0.79
0.71
0.71
1.00
692,226.93
26,585.87
26,585.87
-464,430.19
23,520.90
29,650.85
135
2.36
0.71
-0.71
1.00
692,226.93
26,585.87
-26,585.87
607,447.65
29,650.85
-23,520.90
138
2.41
0.67
-0.74
1.00
442,557.52
25,158.04
-27,940.84
385,092.63
28,379.23
-25,040.47
Btm Joint
143
2.50
0.60
-0.80
1.00
0.00
22,627.10
-30,027.18
-15,406.73
26,088.81
-27,418.60
Point C
148
180
2.58
3.14
0.53
0.00
-0.85
-1.00
1.00
1.00
-472,669.29
-3,956,554.39
19,923.96
0.00
-31,885.00
-37,598.10
-450,624.63 -3,819,340.51
23,599.85
4,334.53
-29,588.05
-37,598.10
120
2.09
0.87
-0.50
1.00
1,737,016.69
32,560.91
-18,799.05
1,495,264.53
34,728.18
-15,045.24
60
1.05
0.87
0.50
1.00
1,737,016.69
32,560.91
18,799.05
737,332.45
30,393.65
22,552.87
178
ITEM No. : FA202
Erection Calculation
Base Ring Block Undergoing Load Wr = 0.25 * W
Reference:
Roark's Formulas for Stress & Strain - 6th Ed.
Table 17 - Case 20
Load, 2*Wr =
Radius of Base Ring Neutral Center Line, R =
Point A - Angle, x =
Lift Point - Angle, Theta =
75,196.21 lbs
174.8591 in.
0 deg. =
0 deg. =
Ring Moment of Inertia, I =
Ring Cross Sectional Area, A =
Modulus of Elasticity, E =
z = sin(x) =
u = cos(x) =
s = sin(Theta) =
c = cos(Theta) =
0.0000 radians
0.0000 radians
310.55 in^4
16.48 in^2
29,500,000 psi
0.0000
1.0000
0.0000
1.0000
Consider Base Ring Block Thin Ring:
Hoop Stress Deform. Factor, Alpha = I / (A.R^2) =
Transverse Shear Deform. Factor, Beta = F.E.I / (G.A.R^2) =
Constants
k1 = 1 - Alpha + Beta =
k2 = 1 - Alpha =
0.0000
0.0000
1.00
1.00
Load Terms
LTm = W.R.(1 - u - x.z/2) / pi =
LTn = - W.x.z / (2.pi) =
LTv = W.(z - x.u) / (2.pi) =
Internal Moment @ A, Ma = W.R.(k2 - 0.5) / (2.pi) =
Internal Force @ A, Na = 0.75 . W / pi =
Internal Force @ A, Va =
Change in Vertical Diameter (vertical deflection)
Dv = - W.R^3.(pi.k1 / 8 - k2^2 / pi) / (E.I) =
Change in Horizontal Diameter (horizontal deflection)
Dh = W.R^3.(k1/4 - k2/2 + k2^2 / pi) / (E.I) =
0 lbs.in
0 lbs
0 lbs
1,046,343 lbs.in
17,952 lbs
0 lbs
-3.2645 in
2.9977 in
179
ITEM No. : FA202
Erection Calculation
Load Table:
LTm = W.R.(1 - u - x.z / 2) / p
LTn = - W.x.z / (2.pi)
LTv = W.(z - x.u) / (2.pi)
M = Ma - Na.R.(1 - u) + Va.R.z + LTm
N = Na.u + Va.z + LTn
V = -Na.z + Va.u + LTv
x (deg.)
x (radians)
z
u
LTm
LTn
LTv
M
N
V
Point A
0
0.00
0.00
1.00
0.00
0.00
0.00
1,046,343.42
17,951.77
0.00
32
0.56
0.53
0.85
16,618.15
-3,542.04
673.55
585,979.94
11,681.93
-8,839.44
Top Joint
37
0.65
0.60
0.80
29,493.90
-4,651.13
1,030.18
443,748.09
9,685.80
-9,773.47
42
0.73
0.67
0.74
48,575.44
-5,870.21
1,488.53
288,642.69
7,470.56
-10,523.56
30
0.52
0.50
0.87
12,869.62
-3,133.18
557.11
638,662.72
12,413.52
-8,418.78
45
0.79
0.71
0.71
63,672.24
-6,646.47
1,816.08
190,614.98
6,047.35
-10,877.74
60
1.05
0.87
0.50
194,829.81
-10,853.64
4,098.11
-328,341.90
-1,877.75
-11,448.58
x (deg.)
x (radians)
z
u
LTm
LTn
LTv
M
N
V
90
1.57
1.00
0.00
898,188.88
-18,799.05
11,967.85
-1,194,497.96
-18,799.05
-5,983.92
120
2.09
0.87
-0.50
2,482,346.46
-21,707.28
22,897.16
-1,179,855.51
-30,683.16
7,350.47
135
2.36
0.71
-0.71
3,658,293.79
-19,939.41
28,401.95
-654,022.63
-32,633.23
15,708.13
138
2.41
0.67
-0.74
3,923,060.00
-19,287.83
29,429.36
-502,380.93
-32,628.60
17,417.28
Btm Joint
143
2.50
0.60
-0.80
4,384,699.06
-17,975.98
31,057.36
-214,928.81
-32,312.90
20,253.71
148
2.58
0.53
-0.85
4,870,244.11
-16,381.92
32,558.55
115,508.63
-31,605.89
23,045.56
Point C
180
3.14
0.00
-1.00
8,370,747.36
0.00
37,598.10
3,139,030.26
-17,951.77
37,598.10
180
ITEM No. : FA202
Erection Calculation
Base Ring Block Undergoing Load Ws = 0.25 * W
Reference:
Roark's Formulas for Stress & Strain - 6th Ed.
Table 17 - Case 4
Note 1: Direction of load is opposite to that shown in Reference
Note 2: Actual load diagram orientation to be turned 180-deg to match Reference
Load, Wr = W / 4 =
Radius of Base Ring Neutral Center Line, R =
Point A - Angle, x =
Lift Point - Angle, Theta =
-37,598.10 lbs
174.8591 in.
0 deg. =
37 deg. =
Ring Moment of Inertia, I =
Ring Cross Sectional Area, A =
Modulus of Elasticity, E =
z = sin(x) =
u = cos(x) =
s = sin(Theta) =
c = cos(Theta) =
0.0000 radians
0.6458 radians
310.55 in^4
16.48 in^2
29,500,000 psi
0.0000
1.0000
0.6018
0.7986
Consider Base Ring Block "Thin Ring":
Hoop Stress Deform. Factor, Alpha = I / (A.R^2) =
Transverse Shear Deform. Factor, Beta = F.E.I / (G.A.R^2) =
Constants
k1 = 1 - Alpha + Beta =
k2 = 1 - Alpha =
Load Terms
Step Function:
LTm = W.R.(z LTn = W.z.<x LTv = W.u.<x -
xTheta = <x - Theta>^0 =
s).<x - Theta>^0 =
Theta>^0 =
Theta>^0 =
0.0000
0.0000
1.00
1.00
0
0.00 lbs.in
0.00 lbs
0.00 lbs
Internal Moment @ A, Ma = -W.R.[s.(s-pi+Theta) + k2.(1+c)] / pi =
Internal Force @ A, Na = -W.s^2 / pi =
Internal Force @ A, Va =
Change in Vertical Diameter (vertical deflection)
Dv = - W.R^3.(pi.k1.(pi-Theta-s.c)/2 + k2.s.(pi-2.Theta) - 2.k2^2.(1+c)] / (E.I.pi) =
Change in Horizontal Diameter (horizontal deflection)
Dh = - W.R^3.[pi.k1.(1-s^2/2) - 2.k2.(pi-Theta.s) + 2.k2^2.(1+c)] / (E.I.pi) =
1,378,650 lbs.in
4,335 lbs
0 lbs
4.7603 in
4.6378 in
181
ITEM No. : FA202
Erection Calculation
Load Table:
Step Function:
LTm = W.R.(z LTn = W.z.<x LTv = W.u.<x -
<x - Theta>^0
s).<x - Theta>^0
Theta>^0
Theta>^0
M = Ma - Na.R.(1 - u) + Va.R.z + LTm
N = Na.u + Va.z + LTn
V = -Na.z + Va.u + LTv
Point C
x (deg.)
0
x (radians)
0.00
z
0.00
u
1.00
<x-Theta>^0
0.00
LTm
0.00
LTn
0.00
LTv
0.00
M
1,378,650.29
N
4,334.53
V
0.00
x (deg.)
x (radians)
z
u
<x-Theta>^0
LTm
LTn
LTv
M
N
V
90
1.57
1.00
0.00
1.00
-2,617,815.21
-37,598.10
0.00
-1,997,097.00
-37,598.10
-4,334.53
32
0.56
0.53
0.85
0.00
0.00
0.00
0.00
1,263,481.07
3,675.89
-2,296.95
Btm Joint
37
0.65
0.60
0.80
1.00
0.00
-22,627.10
-30,027.18
1,226,029.68
-19,165.39
-32,635.77
42
0.73
0.67
0.74
1.00
-442,557.52
-25,158.04
-27,940.84
741,413.99
-21,936.86
-30,841.20
30
0.52
0.50
0.87
0.00
0.00
0.00
0.00
1,277,106.64
3,753.81
-2,167.27
45
0.79
0.71
0.71
1.00
-692,226.93
-26,585.87
-26,585.87
464,430.19
-23,520.90
-29,650.85
60
1.05
0.87
0.50
1.00
-1,737,016.69
-32,560.91
-18,799.05
-737,332.45
-30,393.65
-22,552.87
120
2.09
0.87
-0.50
1.00
-1,737,016.69
-32,560.91
18,799.05
-1,495,264.53
-34,728.18
15,045.24
135
2.36
0.71
-0.71
1.00
-692,226.93
-26,585.87
26,585.87
-607,447.65
-29,650.85
23,520.90
138
2.41
0.67
-0.74
1.00
-442,557.52
-25,158.04
27,940.84
-385,092.63
-28,379.23
25,040.47
Top Joint
143
2.50
0.60
-0.80
1.00
0.00
-22,627.10
30,027.18
15,406.73
-26,088.81
27,418.60
148
2.58
0.53
-0.85
1.00
472,669.29
-19,923.96
31,885.00
450,624.63
-23,599.85
29,588.05
Point A
180
3.14
0.00
-1.00
1.00
3,956,554.39
0.00
37,598.10
3,819,340.51
-4,334.53
37,598.10
182
ITEM No. : FA202
Erection Calculation
Base Ring Block Undergoing Load Ws = 0.25 * W
Reference:
Roark's Formulas for Stress & Strain - 6th Ed.
Table 17 - Case 20
Note 1: Direction of load is opposite to that shown in Reference
Note 2: Actual load diagram orientation to be turned 180-deg to match Reference
Load, 2*Wr =
Radius of Base Ring Neutral Center Line, R =
Point C - Angle, x =
Lift Point - Angle, Theta =
-75,196.21 lbs
174.8591 in.
0 deg. =
0 deg. =
Ring Moment of Inertia, I =
Ring Cross Sectional Area, A =
Modulus of Elasticity, E =
z = sin(x) =
u = cos(x) =
s = sin(Theta) =
c = cos(Theta) =
0.0000 radians
0.0000 radians
310.55 in^4
16.48 in^2
29,500,000 psi
0.0000
1.0000
0.0000
1.0000
Consider Base Ring Block Thin Ring:
Hoop Stress Deform. Factor, Alpha = I / (A.R^2) =
Transverse Shear Deform. Factor, Beta = F.E.I / (G.A.R^2) =
Constants
k1 = 1 - Alpha + Beta =
k2 = 1 - Alpha =
0.0000
0.0000
1.00
1.00
Load Terms
LTm = W.R.(1 - u - x.z/2) / pi =
LTn = - W.x.z / (2.pi) =
LTv = W.(z - x.u) / (2.pi) =
Internal Moment @ A, Ma = W.R.(k2 - 0.5) / (2.pi) =
Internal Force @ A, Na = 0.75 . W / pi =
Internal Force @ A, Va =
Change in Vertical Diameter (vertical deflection)
Dv = - W.R^3.(pi.k1 / 8 - k2^2 / pi) / (E.I) =
Change in Horizontal Diameter (horizontal deflection)
Dh = W.R^3.(k1/4 - k2/2 + k2^2 / pi) / (E.I) =
0 lbs.in
0 lbs
0 lbs
-1,046,343 lbs.in
-17,952 lbs
0 lbs
3.2645 in
-2.9977 in
183
ITEM No. : FA202
Erection Calculation
Load Table:
LTm = W.R.(1 - u - x.z / 2) / p
LTn = - W.x.z / (2.pi)
LTv = W.(z - x.u) / (2.pi)
M = Ma - Na.R.(1 - u) + Va.R.z + LTm
N = Na.u + Va.z + LTn
V = -Na.z + Va.u + LTv
x (deg.)
x (radians)
z
u
LTm
LTn
LTv
M
N
V
Point C
0
0.00
0.00
1.00
0.00
0.00
0.00
-1,046,343.42
-17,951.77
0.00
32
0.56
0.53
0.85
-16,618.15
3,542.04
-673.55
-585,979.94
-11,681.93
8,839.44
Btm Joint
37
0.65
0.60
0.80
-29,493.90
4,651.13
-1,030.18
-443,748.09
-9,685.80
9,773.47
42
0.73
0.67
0.74
-48,575.44
5,870.21
-1,488.53
-288,642.69
-7,470.56
10,523.56
30
0.52
0.50
0.87
-12,869.62
3,133.18
-557.11
-638,662.72
-12,413.52
8,418.78
x (deg.)
x (radians)
z
u
LTm
LTn
LTv
M
N
V
90
1.57
1.00
0.00
-898,188.88
18,799.05
-11,967.85
1,194,497.96
18,799.05
5,983.92
120
2.09
0.87
-0.50
-2,482,346.46
21,707.28
-22,897.16
1,179,855.51
30,683.16
-7,350.47
135
2.36
0.71
-0.71
-3,658,293.79
19,939.41
-28,401.95
654,022.63
32,633.23
-15,708.13
138
2.41
0.67
-0.74
-3,923,060.00
19,287.83
-29,429.36
502,380.93
32,628.60
-17,417.28
Top Joint
143
2.50
0.60
-0.80
-4,384,699.06
17,975.98
-31,057.36
214,928.81
32,312.90
-20,253.71
45
0.79
0.71
0.71
-63,672.24
6,646.47
-1,816.08
-190,614.98
-6,047.35
10,877.74
60
1.05
0.87
0.50
-194,829.81
10,853.64
-4,098.11
328,341.90
1,877.75
11,448.58
Point A
148
180
2.58
3.14
0.53
0.00
-0.85
-1.00
-4,870,244.11
-8,370,747.36
16,381.92
0.00
-32,558.55
-37,598.10
-115,508.63 -3,139,030.26
31,605.89
17,951.77
-23,045.56
-37,598.10
184
ITEM No. : FA202
Erection Calculation
CHECK ADEQUACY OF BASE RING BLOCK
Cross Sectional Area of Base Ring Block, A =
Sectional Modulus of Base Ring Block, Z
Z = min (Z1, Z2)
Z1 =
Z2 =
===>>
Z=
16.48 in^2
38.78 in^3
34.36 in^3
34.36 in^3
Total Internal Moment:
at point A, Ma =
at point C, Mc =
at Top Joint, M_tj =
at Btm Joint, M_bj =
348,003.38
-348,003.38
-551,946.06
551,946.06
Total Internal Tension:
at Point A, Na =
at Point C, Nc =
at Top Joint, N_tj =
at Btm Joint, N_bj =
22,286.30
-22,286.30
35,075.27
-35,075.27
lbs
lbs
lbs
lbs
Total Internal Shear:
at Point A, Va =
at Point C, Vc =
at Top Joint, V_tj =
at Btm Joint, V_bj =
-37,598.10
37,598.10
30,027.18
-30,027.18
lbs
lbs
lbs
lbs
lbs.in
lbs.in
lbs.in
lbs.in
Internal Loadings in the Base Ring Block
Tension (circumferential)
at point A, fa = Na / A =
at point C, fa = Nc / A =
at Top Joint, fa = N_tj / A =
at Btm Joint, fa = N_bj / A =
1,352.38
-1,352.38
2,128.44
-2,128.44
psi
psi
psi
psi
Bending (circumferential)
at point A, fb = Ma / Z =
at point C, fb = Mc / Z =
at Top Joint, fb = M_tj / Z =
at Btm Joint, fa = M_bj / Z =
10,128.51
-10,128.51
-16,064.19
16,064.19
psi
psi
psi
psi
Shear (radial)
at point A, fs = Va / A =
at point C, fs = Vc / A =
at Top Joint, fa = V_tj / A =
at Btm Joint, fa = V_bj / A =
-2,281.53
2,281.53
1,822.11
-1,822.11
psi
psi
psi
psi
185
ITEM No. : FA202
Erection Calculation
CHECK ADEQUACY OF BASE RING BLOCK
Allowable stresses: Material
SA 286-C
Fa = 0.60 Fy = 0.60 * 30000 =
Fb = 0.66 Fy = 0.66 * 30000 =
Fs = 0.22 Fu = 0.22 * 55000 =
18,000.00 psi
19,800.00 psi
12,100.00 psi
Stresses in Base Ring Block - max level is at Top Lift Point
Ring-to-Beam Top Joint (lift point)
( fa / Fa ) + ( fb / Fb ) =
fs / Fs =
0.93 < 1, OK
0.15 < 1, OK
Ring-to-Beam Btm Joint
( fa / Fa ) + ( fb / Fb ) =
fs / Fs =
0.93 < 1, OK
0.15 < 1, OK
Point A
( fa / Fa ) + ( fb / Fb ) =
fs / Fs =
0.59 < 1, OK
0.19 < 1, OK
Point C
( fa / Fa ) + ( fb / Fb ) =
fs / Fs =
0.59 < 1, OK
0.19 < 1, OK
Summary Table
x (deg.)
x (radians)
M
N
V
Point A
0
0.00
348,003.38
27,234.48
0.00
32
0.56
-342,385.12
16,012.08
0.00
Top Joint
37
0.65
-551,946.06
35,075.27
30,027.18
42
0.73
-335,482.99
33,656.79
27,940.84
45
0.79
-227,240.23
32,550.62
26,585.87
60
1.05
93,581.52
9,716.84
12,753.68
x (deg.)
x (radians)
M
N
V
90
1.57
0.00
0.00
0.00
120
2.09
-93,581.52
-24,470.88
-18,799.05
135
2.36
227,240.23
-32,550.62
-26,585.87
138
2.41
335,482.99
-33,656.79
-27,940.84
Btm Joint
143
2.50
551,946.06
-35,075.27
-30,027.18
148
2.58
342,385.12
-16,012.08
0.00
Point C
180
3.14
-348,003.38
-27,234.48
0.00
186
ITEM No. :
FA202
Erection Calculation
BASE BLOCK UNDER ERECTION CONDITION
STRESS OF BASE BLOCK FOR 1-BRACING
a.
b.
c.
d.
e.
f.
g.
h.
I.
SUPPORT BRACING LENGTH
NO. OF BRACING SUPPORT
BRACING MATERIAL
BRACING USED SIZE
SECTION AREA OF BRACING
RADIUS OF GYRATION OF BRACING
YIELD STRESS
ELAST. MODULUS OF BRACING
LOAD CARRIED BY BEAM
L
N
Al
k
F
E
Ws
=
=
;
=
=
=
=
=
=
267.574 in [=
2
EA
SA 36
H-250*250*9/14
14.288 in^2 [=
2.476 in [=
36000 psi [=
29500000 psi [=
75,196.2 lbs
6796.39 mm]
9218.00
62.90
25.31
20741.05
** CALCULATION OF ALLOWABLE COMPRESSIVE STRESS, fc
* SLENDERNESS RATIO λ = L / k =
λ=L/k=
267.574 / 2.476 =
108.051
* COLUMN SLENDERNESS RATIO DIVIDING ELASTIC AND UNELASTIC BUCKLING, Λ
Λ = √[π^2 * E /(0.6*F)]
= √[π^2 * 29500000 / (0.6 * 36000)] =
116.10
ν = (3/2) + (2/3) * (λ/Λ)^2
= (3/2) + (2/3) * (108.05 / 116.10)^2=
2.0774
λ≤Λ
fc = [1 - 0.4*(λ/Λ)^2] * F / ν
= [1 - 0.4 * (108.05 / 116.10)^2] * 36000/2.0774 =
11325.37 Psi
λ＞Λ
fc = 0.277 * F /(λ/Λ)^2
= 0.277 * 36000.00 / (108.05 / 116.10)^2 =
∴ fc =
11325.37 Psi
>
Ws/Al
---=
5262.92 Psi
Psi
--- O.K !
mm^2]
mm]
kg/mm^2]
kg/mm^2]
187
Others wt. (assumed)
Load Orientation
Vertical Load
Elevation above datum:
3,185.09 mm
Direction angle:
0.00 degrees
Distance from center of vessel: 0 mm
Magnitude of force:
6,500 kg
Present when operating:
Yes
Included in vessel lift weight:
Yes
Present when vessel is empty: Yes
Present during hydrotest:
Yes
188
Coil wt. (assumed)
Load Orientation
Vertical Load
Elevation above datum:
3,296.63 mm
Direction angle:
0.00 degrees
Distance from center of vessel: 0 mm
Magnitude of force:
4,400 kg
Present when operating:
Yes
Included in vessel lift weight:
Yes
Present when vessel is empty: Yes
Present during hydrotest:
Yes
189
Internal wt. (assumed)
Load Orientation
Vertical Load
Elevation above datum:
4,350 mm
Direction angle:
0.00 degrees
Distance from center of vessel: 0 mm
Magnitude of force:
5,700 kg
Present when operating:
Yes
Included in vessel lift weight:
Yes
Present when vessel is empty: Yes
Present during hydrotest:
Yes
190
Liquid Level
Location from datum
-3,620 mm
Operating Liquid Specific Gravity 1.19
ITEM NO. : FA202
191
50, 51 (6") Blind flange
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Attached to:
Bolted Cover
50, 51 (6") flange
SA-182 F304 <= 125 (low stress) (II-D Metric p.
Material specification:
86, ln. 14)
Impact test exempt per UHA-51(g)(coincident ratio = 0.1284)
Internal design pressure: P = 1.75 kg/cm2 @ 170 °C
External design pressure: Pe = 1.03 kg/cm2 @ 170 °C
Static liquid head:
Pth = 0.02 kg/cm2 (SG = 1, Hs = 163.44 mm, Horizontal test head)
Corrosion allowance:
Inner C = 0 mm
Design MDMT = 0 °C
Rated MDMT = -196 °C
Radiography:
Estimated weight:
Outer C = 0 mm
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Category A joints New = 12.2 kg
Seamless No RT
corr = 12.2 kg
Head diameter, d = 192.41 mm
Cover thickness, t = 25.4 mm
Design thickness, (at 170 °C) UG-34 (c)(2), flange operating
t = d*Sqr(C*P / (S*E) + 1.9*W*hG / (S*E*d3)) + Corrosion
= 192.41*Sqr(0.3*1.75 / (1,020.735*1) + 100*1.9*955.43*24.44 / (1,020.735*1*192.413)) + 0
= 6.45 mm
Design thickness, (at 17 °C) UG-34 (c)(2), gasket seating
t = d*Sqr(1.9*W*hG / (S*E*d3)) + Corrosion
= 10*192.41*Sqr(1.9*33,924.32*24.44 / (1,407.207*1*192.413)) + 0
= 24.12 mm
Maximum allowable working pressure, (at 170 °C )
P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3))) - Ps
= (1,020.735*1 / 0.3)*((25.4 / 192.41)2 - (1.9*100*14,805.06*24.44 / (1,020.735*1*192.413))) - 0
= 27.12 kgf/cm2
Maximum allowable pressure, (At 17 °C )
P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3)))
= (1,407.207*1 / 0.3)*((25.4 / 192.41)2 - (1.9*100*20,410.56*24.44 / (1,407.207*1*192.413)))
= 37.38 kgf/cm2
Design thickness for external pressure, (at 170 °C) U-2(g)
t = d*Sqr(C*Pa / (S*E)) + Corrosion
= 192.41*Sqr(0.3*1.03 / (1,020.735*1)) + 0
= 3.35 mm
ITEM NO. : FA202
Maximum allowable external pressure, (At 170 °C ) U-2(g)
Pa = (S*E / C)*(t / d)2
= (1,020.735*1 / 0.3)*(25.4 / 192.41)2
= 59.29 kgf/cm2
192
ITEM NO. : FA202
193
Air inlet (50 (0.5"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 25.4 mm
Leg41 =
9 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
50, 51 (6") Blind flange
Orientation:
0°
Distance to head center, R:
0 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-182 F304 <= 125 (II-D Metric p. 86, ln. 15)
Inside diameter, new:
12.7 mm
Nominal wall thickness:
8.65 mm
Corrosion allowance:
3 mm
Projection available outside vessel, Lpr:
123.42 mm
Projection available outside vessel to flange face, Lf: 134.6 mm
Local vessel minimum thickness:
25.4 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
ASME B16.5-2009 Flange
Description:
NPS 0.5 Class 150 LWN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
No
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Reinforcement Calculations for Chamber MAWP
ITEM NO. : FA202
194
UG-39 Area Calculation Summary (cm2)
For P = 4.8 kgf/cm2 @ 170 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
2.2554
3.1897
A1
A2
A3 A5
A
welds
0.7935 1.5858 -- -- 0.8103
treq
tmin
5.96
8.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Required weld
Actual weld
throat size (mm) throat size (mm)
Weld description
3.96
Nozzle to shell fillet (Leg41)
Status
6.3 weld size is adequate
Reinforcement Calculations for Chamber MAP
UG-39 Area Calculation Summary (cm2)
For P = 19.37 kgf/cm2 @ 17 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
1.5318
5.3832
A1
A2
A3 A5
A
welds
0.8703 3.7026 -- -- 0.8103
treq
tmin
2.96
8.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Required weld
Actual weld
throat size (mm) throat size (mm)
Weld description
6
Nozzle to shell fillet (Leg41)
Status
6.3 weld size is adequate
Reinforcement Calculations for MAEP
UG-39 Area Calculation Summary (cm2)
For Pe = 56.34 kgf/cm2 @ 170 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
2.3151
2.3155
A1
A2
A3 A5
A
welds
0.3974 1.1077 -- -- 0.8103
treq
tmin
5.96
8.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Nozzle to shell fillet (Leg41)
Required weld
Actual weld
throat size (mm) throat size (mm)
3.96
Status
6.3 weld size is adequate
ITEM NO. : FA202
195
Steam inlet (51 (0.5"))
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 25.4 mm
Leg41 =
9 mm
Note: round inside edges per UG-76(c)
Location and Orientation
Located on:
50, 51 (6") Blind flange
Orientation:
0°
Distance to head center, R:
80 mm
Passes through a Category A joint:
No
Nozzle
Access opening:
No
Material specification:
SA-182 F304 <= 125 (II-D Metric p. 86, ln. 15)
Inside diameter, new:
12.7 mm
Nominal wall thickness:
8.65 mm
Corrosion allowance:
3 mm
Projection available outside vessel, Lpr:
123.42 mm
Projection available outside vessel to flange face, Lf: 134.6 mm
Local vessel minimum thickness:
25.4 mm
Liquid static head included:
0 kgf/cm2
Longitudinal joint efficiency:
1
ASME B16.5-2009 Flange
Description:
NPS 0.5 Class 150 LWN A182 F304
Bolt Material:
SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Blind included:
No
Rated MDMT:
-48°C
(Per UHA-51(d)(1)(a))
(Flange rated MDMT = -196 °C
Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C)
Liquid static head:
0 kgf/cm2
MAWP rating:
14.07 kgf/cm2 @ 170°C
MAP rating:
19.37 kgf/cm2 @ 17°C
Hydrotest rating:
29.57 kgf/cm2 @ 17°C
PWHT performed:
No
Reinforcement Calculations for Chamber MAWP
ITEM NO. : FA202
196
UG-39 Area Calculation Summary (cm2)
For P = 4.8 kgf/cm2 @ 170 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
2.2554
3.1897
A1
A2
A3 A5
A
welds
0.7935 1.5858 -- -- 0.8103
treq
tmin
5.96
8.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Required weld
Actual weld
throat size (mm) throat size (mm)
Weld description
3.96
Nozzle to shell fillet (Leg41)
Status
6.3 weld size is adequate
Reinforcement Calculations for Chamber MAP
UG-39 Area Calculation Summary (cm2)
For P = 19.37 kgf/cm2 @ 17 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
1.5318
5.3832
A1
A2
A3 A5
A
welds
0.8703 3.7026 -- -- 0.8103
treq
tmin
2.96
8.65
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(1)
UW-16 Weld Sizing Summary
Required weld
Actual weld
throat size (mm) throat size (mm)
Weld description
6
Nozzle to shell fillet (Leg41)
Status
6.3 weld size is adequate
Reinforcement Calculations for MAEP
UG-39 Area Calculation Summary (cm2)
For Pe = 56.34 kgf/cm2 @ 170 °C
UG-45 Nozzle Wall
Thickness Summary (mm)
The nozzle passes UG-45
The opening is adequately reinforced
A
A
required available
2.3151
2.3155
A1
A2
A3 A5
A
welds
0.3974 1.1077 -- -- 0.8103
treq
tmin
5.96
8.65
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description
Nozzle to shell fillet (Leg41)
Required weld
Actual weld
throat size (mm) throat size (mm)
3.96
Status
6.3 weld size is adequate
197
LOADS ON NOZZLE OF CONICAL SECTION
(BS 5500 App. "B")
FA202
Item :
Nozzle No. :
18 (14")
SA240-304
Material :
-INPUT DESIGN DATA :
Axial load
Fy
=
16.8
(kN)
Tangential loads
Fx
=
12.6
(kN)
Fz
=
16.8
(kN)
Torque moment
My
=
17.64
(kN-m)
Bending moment
Mx
=
11.76
(kN-m)
Mz
=
15.288
(kN-m)
=
170
(℃)
Sa
=
128
(N/mm2)
Design temperature
Allowable stress
α
Weld joint efficiency
E
=
1
Design pressure
P
=
0.1716
(Mpa)
Outside diameter
do
=
355.6
(mm)
Wall nominal thickness
tn
=
10
(mm)
Corrosion allowance
c
=
0
Apex half-angle
α
=
35.4
°
- OUTPUT CALCULATION :
Corroded thickness
t = tn - c
=
10.00
Inside corroded diameter
di = do - 2t
=
335.60
(mm)
Section area
A = 1/4 * π * (do 2 - di 2)
=
10857.34
(mm)
Resulting load
T = [Fx2 + Fz2] 0.5
=
21.00
(kN)
Resulting moment
M = [Mx2 + Mz2] 0.5
=
19.29
(kN-m)
Circunferential pressure stress
σc = P * di /[2* t * cos (α)]
=
3.53
(N/mm2)
=
1.72
(N/mm2)
=
0.0019
(N/mm2)
=
0.0000
(N/mm2)
2
Longitudinal pressure stress
σlp =1/4 * P * di
Axial load stress
σly =Fy / [π * (di + t) * t * cos (α)]
/ [(di + t) * t * cos (α)]
2
Bending momnet stress
σlb = 4 M / [π * (di + t) * t * cos (α)]
2
(mm)
Shear moment stress
τm = 4 M * tan (α) / [π * (di + t) * t )]
=
0.0000
(N/mm2)
Torque moment stress
τt = 2 My / [π * (di + t)2 * t ]
=
0.0000
(N/mm2)
(N/mm2)
Shear force stress
τf = T / [A * cos (α )]
=
0.00
Longitudinal stress
σl = σlp + σly + σlb
=
1.72
(N/mm2)
Shear stress
τs = τm + τt + τf
=
0.00
(N/mm2)
=
3.53
(N/mm2)
=
1.72
(N/mm2)
Principal stress
f1 = 1/2 * {σc + σl + [(σc - σl) 2 + 4τs2]0.5}
2
2 0.5
f2 = 1/2 * {σc + σl - [(σc - σl) + 4τs ] }
General primary membrane stress
σ1 = f1 - f2
=
1.82
(N/mm2)
σ2 = f1 + 0.5P
=
3.62
(N/mm2)
σ3 = f2 + 0.5P
=
1.80
(N/mm2)
Maximum membrane stress
σmax = max[σ1 & σ2 & σ3]
=
3.62
(N/mm2)
σmax ≤ Allowable stress
σa = 1.5 * Sa * E
=
192.00
(N/mm2)
O.K.!!
ITEM NO. : FA202
198
Steam Trace Coil
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component:
Cylinder
SA-213 TP304 Smls tube (II-D Metric p. 86, ln.
19)
Material specification:
Impact test exempt per UHA-51(d)
Internal design pressure: P = 8 kg/cm2 @ 200 °C
External design pressure: Pe = 1.05 kg/cm2 @ 200 °C
Static liquid head:
Pth = 0 kg/cm2 (SG = 1, Hs = 10.92 mm, Horizontal test head)
Corrosion allowance
Inner C = 0 mm
Design MDMT = 0 °C
Rated MDMT = -196 °C
Radiography:
No impact test performed
Material is not normalized
Material is not produced to Fine Grain Practice
PWHT is not performed
Longitudinal joint Seamless No RT
Left circumferential joint - Full UW-11(a) Type 1
Right circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 13.3 kg
Capacity
Outer C = 0 mm
corr = 13.3 kg
New = 4.68 liters corr = 4.68 liters
OD
= 12.7 mm
Length Lc = 50,000 mm
t
= 0.89 mm
Design thickness, (at 200 °C) Appendix 1-1
t
= P*Ro / (S*E + 0.40*P) + Corrosion
= 8*6.35 / (1,284.84*1.00 + 0.40*8) + 0
= 0.04 mm
Maximum allowable working pressure, (at 200 °C) Appendix 1-1
P
= S*E*t / (Ro - 0.40*t) - Ps
= 1,284.84*1.00*(0.89*0.875) / (6.35 - 0.40*(0.89*0.875)) - 0
= 165.7 kg/cm2
Maximum allowable pressure, (at 17 °C) Appendix 1-1
P
= S*E*t / (Ro - 0.40*t)
= 1,407.21*1.00*(0.89*0.875) / (6.35 - 0.40*(0.89*0.875))
= 181.48 kg/cm2
External Pressure, (Corroded & at 200 °C) UG-28(c)
L / Do = 50,000 / 12.7
Do / t = 12.7 / 0.12
From table G:
A
From table HA-1 Metric: B
Pa
= 50.0000
= 108.8039
= 0.000096
= 86.0669 kg/cm2
= 4*B / (3*(Do / t))
ITEM NO. : FA202
= 4*86.07 / (3*(12.7 / 0.12))
= 1.05 kg/cm2
Design thickness for external pressure Pa = 1.05 kg/cm2
ta
= t + Corrosion = 0.12 + 0 = 0.12 mm
Maximum Allowable External Pressure, (Corroded & at 200 °C) UG-28(c)
L / Do = 50,000 / 12.7
= 50.0000
Do / t = 12.7 / (0.89*0.875) = 16.3082
From table G:
A = 0.004337
From table HA-1 Metric: B = 694.7014 kg/cm2
Pa
= 4*B / (3*(Do / t))
= 4*694.7 / (3*(12.7 / (0.89*0.875)))
= 56.8 kg/cm2
199