non circular air cooler design calculations
DESCRIPTION
Non circular Air cooler design calculations based on Appendix of ASME section VIII division 1.TRANSCRIPT
Page No: 1 of 50
Date:
Revision:
Document No:Tag No:
COVER PAGE
MECHANICAL DESIGN CALCULATIONS
C5437-HCHE1
04.06.143
Client : SNGPL
HEADER BOX
Jord Job No : C5437
Project : COMPRESSOR GAS STATION CC3
JORD INTERNATIONAL PTY LTD ABN 42 102 636 215Main Office: 38 Oxley Street, St Leonards, NSW, Australia 2065
Tel: [612] 8425 1500 Fax: [612] 8425 1555
JORD INTERNATIONAL PTE LTD REG 200106859WRegional Office: 190 MacPherson Road #09-02 Wisma Gulab, Singapore, 348548
Tel: [65 ] 6879 4088 Fax: [65 ] 6879 4099
E-mail: [email protected] Web: www.jord.com.au
Tag No : HE1
Total No Pages : 50
Equipment : GAS COMPRESSOR AIR COOLER
Client : SNGPL
1 KM RS KS18 mm PLATE REVISED TO 20 mm & TI /PI REMOVED
25 mm PLATE REVISED TO 28 mm2
16.05.14KM RS
Description
0 AR RS
KS
KS 25.03.14
04.06.14
ISSUED FOR APPROVAL
Revision Created Checked Approved Date
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04.06.143
10EVALUATION OF JOINT & LIGAMENT EFFICIENCY AS PER APPENDIX 13
THK. EVALUATION OF TUBE SHEET OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
INPUT DATA FOR RETURN HEADER AS PER APPENDIX 13-9 (c) & 13-5
VESSEL SKETCH FOR RETURN HEADER AS PER FIG. 13-2 (a) (10)
INPUT DATA FOR NOZZLE HEADER AS PER APPENDIX 13-9 (c) & 13-5
COVER PAGE
LATEST APPLICABLE REVISION STATUS OF ENTIRE DOCUMENT
C5437-HCHE1
LATEST REV. STATUSDATE
INDEX
SR. NO.
DESCRIPTIONSHEET
NO.
2 INDEX
EVALUATION OF MATERIALS AS PER APPENDIX 13-3, UCS-23 & UHA-23
LATEST APPLICABLE DRAWINGS / DOCUMENTS
APPLICABLE LOADINGS AS PER UG-22
EVALUATION OF DESIGN PRESSURE AS PER UG-21, UG-98 AND APPENDIX 3-2
THICKNESS EVALUATION OF STAY PLATE & END PLATE OF NOZZLE HEADER AS PER APPENDIX 13-9 (c) & UG-34
APPLICABLE STANDARDS & REFERENCES
VESSEL SKETCH FOR NOZZLE HEADER AS PER FIG. 13-2 (a) (10)
DESIGN DATA
THICKNESS EVALUATION OF TOP & BOTTOM PLATE OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
THK. EVALUATION OF PLUG SHEET OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
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37MAWP (HOT & CORRODED) CALCULATION FOR NOZZLE HEADER , RETURN HEADER,TUBES, NOZZLE & FLANGES
38MAP (NEW & COLD) CALCULATION FOR NOZZLE HEADER, RETURN HEADER, TUBES, NOZZLE & FLANGES
5
THICKNESS EVALUATION OF TOP & BOTTOM PLATE OF RETURN HEADER AS PER APPENDIX 13-9 (c)
THK. EVALUATION OF TUBE SHEET OF RETURN HEADER AS PER APPENDIX 13-9 (c)
THK. EVALUATION OF PLUG SHEET OF RETURN HEADER AS PER APPENDIX 13-9 (c)
THICKNESS EVALUATION OF STAY PLATE & END PLATE OF RETURN HEADER AS PER APPENDIX 13-9 (c) & UG-34
THICKNESS EVALUATION OF TUBE AS PER UG-31 AND UG-27
REINFORCEMENT REQUIREMENT FOR NOZZLE AS PER APPENDIX 13-4
FULL RADIOGRAPHY REQUIREMENT AS PER UW-11
REINFORCEMENT REQUIREMENT IN Z-DIRECTION AS PER UG-39 & UG-37
INSPECTION OPENING AS PER UG-46.
REINFORCEMENT REQUIREMENT FOR NOZZLE AS PER U-2 (g)
WELD DESIGN AS PER FIG. UG-34 (g)WELD DESIGN AS PER FIG. 28-1 (b)
IMPACT TEST REQUIREMENT AS PER UG-20 (f), UCS-66
GOVERNING THICKNESS AS PER UCS-66 & UW-40 (f)
POST FORMING HEAT TREATMENT REQUIREMENT AS PER UG-79, UCS-79 & POST WELD HEAT TREATMENT REQUIREMENT AS PER UW-2, UCS-56
WELD DESIGN AS PER FIG. UW-16.1 (a)
NOZZLE THICKNESS CALCULATION AS PER UG-45
FLANGE RATING CHECK AS PER ASME B16.5-2013
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DATE
16.05.143
LATEST REV. STATUS
40NOZZLE HEADER, RETURN HEADER - STRESS DURING HYDROSTATIC TEST CONDITION AS PER U-2 (g)
HYDROSTATIC TEST PRESSURE CALCULATION AS PER UG-99 (b)
SR. NO.
DESCRIPTIONSHEET
NO.
INDEX
C5437-HCHE1
42 NOZZLE LOAD CALCULATION U-2(g)
TUBE,NOZZLE & FLANGES - STRESS DURING HYDROSTATIC TEST CONDITION AS PER U-2 (g)
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REV. REVISION CHECKEDNO DATE BY
1 16.05.14
2 04.06.14 1-5,7,14,18,20,24,26-27,35-36, 39-48
18 mm PLATE REVISED TO 20 mm & TI /PI REMOVED
REVISION REMARKS
RS KS
04.06.143
C5437-HCHE1
APPROVEDBY
1-5, 7, 14, 15,21 ,24, 28, 29, 32-35, 39, 40, 42, 43,
4625 mm PLATE REVISED TO 28 mm RS KS
LATEST APPLICABLE REVISION STATUS OF ENTIRE DOCUMENT
REVISED SHEET NO.
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1 D
Rev.
04.06.143
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SR. NO. DESCRIPTION DRAWING NO.
C5437-HD-002HEADER DETAILS
LATEST APPLICABLE DRAWINGS / DOCUMENTS
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ASME BOILER AND PRESSURE VESSEL CODESECTION VIII DIVISION 1 - 2013 EDITIONASME BOILER AND PRESSURE VESSEL CODESECTION II PART D (METRIC) - 2013 EDITIONPIPE FLANGES AND FLANGED FITTINGSASME B 16.5 - EDITION 2013API STANDARD 661, 7TH EDITION JULY 2013, PETROLEUM, PETROCHEMICAL & NATURAL GAS INDUSTRIESAIR COOLED HEAT EXCHANGERS
04.06.143
C5437-HCHE1
APPLICABLE STANDARDS & REFERENCES
SR. NO. DESCRIPTION
1
2
3
4
Page No: 7 of 50Date:Revision:Document No:Tag No:
2 -3 -4 -
6 ºC
MPa (g)
8 ºC
MPa (g)
10 MPa (a)
11 ºC
12 MPa (g)13 MPa (g)
15.340PNEUMATIC TEST PRESSURE NOT REQUIRED UG-100HYDROSTATIC TEST PRESSURE AT TOP UG-99
8.616
OPERATING TEMPERATURE - INLET / OUTLET 65.56 / 51.672
OPERATING PRESSURE - INTERNAL
DESIGN TEMPERATURE 121.11 UG-20
MINIMUM DESIGN METAL TEMPERATURE -1.11 @ 11.8MPa (g) UG-20
5DESIGN PRESSURE INCLUDING STATIC HEIGHT - INTERNAL / EXTERNAL UG-21, UG-98MPa (g) 10.205 / NIL
7
SERVICE (LETHAL / NON-LETHAL) NON LETHALTYPE OF VESSEL HORIZONTAL
HE1
CODE STAMP YES
1 DESIGN & MANUFACTURING CODE -
ASME BOILER & PRESSURE VESSEL CODE SECTION VIII DIVISION - 1
EDITION 2013 & API STANDARD 661, 7TH EDITION JULY 2013
04.06.143
DESIGN DATA
SR. NO DESCRIPTION UNIT VALUECODE
REFERENCE
C2884-HC-01
9 MAXIMUM ALLOWABLE PRESSURE ( MAP - NEW & COLD ) INTERNAL / EXTERNAL
15.16 / NIL
MAXIMUM ALLOWABLE WORKING PRESSURE ( MAWP - HOT & CORRODED ) INTERNAL / EXTERNAL 11.8 / NIL
13 MPa (g)14 mm15 -16 -
17 -
18 -19 -20 -21 -22 -
--
kg / m3
kgkgkg
25 L26 -
NOTE :i REFER APPENDIX 13 FOOT NOTE-1 FOR JOINT EFFICIENCY
ii SINCE HEADER BOX IS BEING SUPPORTED IN STRUCTURE, THE STRUCTURE SHALL TAKE CARE OFWIND & SEISMIC REACTION.
INSPECTION BY AI
DENSITY 64.875
24
UG-22
23
1455.00
OTHER APPLICABLE LOADING AS PER UG-22 REFER SHEET NO. 8
HYDROSTATIC 10661.00
PRODUCTION TEST COUPONS NOT REQUIRED
NOT APPLICABLE ii
WEIGHTEMPTY
CAPACITY
9212.00
OPERATING 9306.00
WIND DESIGN CODE / WIND SPEED NOT APPLICABLE ii UG-22
UG-22
SWEET NATURAL GAS
SEISMIC DESIGN CODE / ZONE
FLUIDTYPE PROCESS GASCONDITION
YES
REFER NDT TABLE OF C5437-HD-002
IMPACT TEST NOT REQUIRED
UW-2, UCS-56, UCS-79 API 661
UG-20(f), UG-84
POST WELD HEAT TREATMENT (PWHT)
CORROSION ALLOWANCE 3.175 (EXCEPT TUBE) UG-25APPENDIX 13
UW-11, API-661JOINT EFFICIENCY 1 ii
RADIOGRAPHY / ULTRASONIC EXAMINATION
PNEUMATIC TEST PRESSURE NOT REQUIRED UG-100
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SR. NO. UG - 22SUB-
CLAUSEINTERNAL DESIGN PRESSURE AS PER UG-21EXTERNAL DESIGN PRESSURE AS PER UG-21WEIGHT OF VESSEL AND NORMAL CONTENTSUNDER OPERATING OR TEST CONDITIONS, INCLUDING ADDITIONAL HEAD DUE TO STATICHEAD OF MEDIUM / WATERSUPERIMPOSED STATIC REACTIONS FROM WEIGHT OF ATTACHED EQUIPMENTS SUCH ASMOTORS, MACHINERY, OTHER VESSELS, PIPING, LININGS, AND INSULATION;ATTACHMENT OF INTERNALS, VESSEL SUPPORT,LUGS, RINGS, SKIRTS, SADDLES , LEGS ETC.CYCLIC OR DYNAMIC REACTION DUE TO PRESSURE OR THERMAL VARIATIONS OR FROM EQUIPMENT MOUNTED ON A VESSEL ANDMECHANICAL LOADINGSWIND REACTIONSSNOW REACTIONSSEISMIC REACTIONSIMPACT REACTIONS SUCH AS THOSE DUE TO
DESCRIPTION
aAPPLICABLE
NOT APPLICABLE
4
APPLICABILITY
1
04.06.143
C5437-HCHE1
APPLICABLE LOADINGS AS PER UG - 22
6
NOT APPLICABLE ii
c APPLICABLE
NOT APPLICABLE i
f
NOT APPLICABLEe
7
d NOT APPLICABLE
b
3
NOT APPLICABLE i
2
NOT APPLICABLE i
APPLICABLE
5
gFLUID SHOCKSTEMPERATURE GRADIENTS AND DIFFERENTIALTHERMAL EXPANSION
TEST PRESSURE & COINCIDENT STATIC HEAD ACTING
i SINCE HEADER BOX IS BEING SUPPORTED IN STRUCTURE, STRUCTURE SHALL TAKECARE OF WIND, SEISMIC & SNOW REACTION.
ii NO IMPACT REACTIONS ARE ANTICIPATED IN OPERATION.
iii DIFFERENTIAL THERMAL EXPANSION HAS BEEN TAKEN INTO ACCOUNT BY MEANS OF SLIDING PADS WHICH WILL ALLOW HEADERS TO MOVE.
NOT APPLICABLE ii
10 j APPLICABLEDURING THE TEST
9ABNORMAL PRESSURES SUCH AS THOSE CAUSED
i
7
8 APPLICABLE iiih
NOT APPLICABLEBY DEFLAGRATION
g
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���� EVALUATION OF STATIC PRESSURE IN OPERATING / HYDROSTATIC TEST CONDITION :
PART STATIC STATIC DESCR- HEIGHT HEIGHTIPTION FLUID HYDRO.
mm mmINLET
NOZZLEHEADER
BOXOUTLETNOZZLE
���� EVALUATION OF DESIGN PRESSURE :
A) INTERNAL DESIGN PRESSURE = 10.204 MPa (g) (AS PER CLIENT)
B) EXTERNAL PRESSURE = NIL MPa (g)
0.001 1032MAXIMUM STATIC HEIGHT / PRESSURE 1032 0.01
1032 0.01010.204 NIL 1032 0.001
710 0.00010.204 NIL
0.0033220.000
0.007710
WATER FORDESIGN CORRECTION FLUID FOR
10.204 NIL
MPa (g) MPa (g)PRESSURE MPa (g) OPERATING
(IF ANY)HYDRO. TEST
MPa (g)
322
04.06.143
EVALUATION OF DESIGN PRESSURE AS PER UG-21, UG-98 & APPENDIX 3-2
INTERNAL DIFF. PRESS.
C5437-HCHE1
STATIC PR. OF STATIC PR. OF
C) STATIC PRESSURE OF FLUID FOR OPERATING = 0.001 MPa (g)
D) OTHER LOADINGS AS PER UG - 22 = NOT APPLICABLE - REFER SHEET 8 FOR LOADINGS
���� CONCLUSION :
DESIGN PRESSURE INCLUDING STATIC PRESSURE = 10.205 MPa (g)
CONVERSION :
1 mm OF WATER = 9.80665E-06 MPaDENSITY = 64.875 kg / m3
FOR EVALUATION OF COMPONENT THICKNESS
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MAXIMUM ALLOWABLE STRESS VALUES AS PER UCS-23 & UHA-23 :
THE MAXIMUM ALLOWABLE STRESS VALUES AT THE TEMPERATURE INDICATED FOR MATERIALS CONFORMINGTO THE SPECIFICATION LISTED IN ASME SECTION II, PART D. ( METRIC )
SR. PART PAGE / P NO / ACTUAL PERMI- STRESS STRESSNO. DESCRIP- LINE GROUP DESIGN SSIBLE VALUE VALUE
TION NO. NO TEMP. DESIGN AT ATSEC II D oC TEMP DESIGN ROOM
oC TEMP. TEMP.MPa MPa
7 ROUND PLUG SA-182 Gr.F316
TRANSITION NOZZLE
SA-234 Gr.WPB
6 COUPLING
4 TUBES 121.11
5
NIL
138.00
538
92.4092.40482
14 / 21 1 / 1
EVALUATION OF MATERIALS AS PER APPENDIX 13-3,UCS-23 & UHA-23
1 121.1122 / 6
APPLICABLE
2
121.11
HEADER PLATES
04.06.143
18 / 32 1 / 2 121.11 538 NIL
1 / 2
C5437-HCHE1
NOTE
FLANGES
3 HEADER PLUGS
538 138.00 138.00 NIL
NIL
121.11
816 138.00 138.00121.11
NIL
NIL118.00 118.00
SA-105N 18 / 32
538
138.00
138.00538
138.00SA-105N
138.00
SA-516 Gr.70 N
121.11
1 / 2
1 / 1
SPECIFICATION CAUTIONARYMATERIAL
138.00 NIL
SA-179 6 / 11
SA-105N 18 / 32 1 / 2
78 / 1 8 / 1
YIELD STRENGTH OF MATERIALS
SR. PART PAGE /NO. DESCRIP- LINE
TION NO. AT ATSEC II D DESIGN ROOM
TEMP. TEMP.MPa MPa
HEADER PLATES
169.24 207.007 ROUND PLUG SA-182 Gr.F316 638 / 12
2
7 ROUND PLUG SA-182 Gr.F316
6 COUPLING SA-105N
574 / 5
HEADER PLUGS
578 / 17
FLANGES
3
5 TRANSITION NOZZLE
MATERIAL
578 / 17
578 / 30
4
1
SA-105N
TUBES
223.62
NIL
241.00
816 138.00 138.00121.11
179.00
262.00
248.00
161.31
217.47
235.62SA-516 Gr.70 N
SA-105N
248.00
STRENGTHYIELD
SPECIFICATION
SA-234 Gr.WPB
78 / 1 8 / 1
SA-179 566 / 10
223.62
578 / 17
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���� LIGAMENT EFFICIENCY OF MULTIDIAMETER HOLES ON PLUG SHEET AS PER APPENDIX 13-6 :
INPUT DATA : VALUE UNITSp = PITCH DISTANCE BETWEEN TWO PLUG HOLE = 63.500 mm
do = DIAMETER OF HOLE OF LENGTH T0 = 39.000 mmT0 = LENGTH OF HOLE OF DIAMETER do = 0.800 mmd1 = DIAMETER OF HOLE OF LENGTH T1 = 28.700 mmT1 = LENGTH OF HOLE OF DIAMETER d1 = 1.800 mmd2 = DIAMETER OF HOLE OF LENGTH T2 = 28.575 mmT2' = LENGTH OF HOLE OF DIAMETER d2 = 27.400 mmt2' = THICKNESS OF PLUG SHEET = 30.000 mmC = CORROSION ALLOWANCE = 3.175 mm
A) CALCULATION :
t2 = ( t2' - C ) = 26.825 mmb0 = ( p - d0 ) = 24.500 mm
04.06.143
C5437-HCHE1
EVALUATION OF JOINT & LIGAMENT EFFICIENCY AS PER APPENDIX 13
b0 = ( p - d0 ) = 24.500 mmb1 = ( p - d1 ) = 34.800 mmb2 = ( p - d2 ) = 34.925 mmT2 = ( T2' - C ) = 24.225 mm
B) LIGAMENT EFFICIENCY OF PLATE SUBJECTED TO MEMBRANE STRESS :
DE = EQUIVALENT UNIFORM DIAMETER OF MULTIDIAMETER HOLE.
= ( 1 / t2 ) * ( d0 * T0 + d1 * T1 + d2 * T2 ) = 28.894 mmem = MEMBRANE LIGAMENT EFFICIENCY.
= ( p - DE ) / p = 0.545
C) LIGAMENT EFFICIENCY OF PLATE SUBJECTED TO BENDING STRESS :
X = DISTANCE FROM BASE OF PLATE TO NEUTRAL AXIS
= = 13.293 mm
I = MOMENT OF INERTIA.
= [ (1/12) * {(b0*T03) + (b1*T1
3) + (b2 * T23)} ] + [ (b0*T0) * {(T0/2) + T1 + T2 - X }2 ]
+ [ (b1*T1) * {(T1/2) + T2- X }2 ] + [ (b2*T2) * {(T2/2) - X }2 ] = 54722.192 mm4
c2i = DISTANCE FROM NEUTRAL AXIS OF CROSS SECTION OF PLATEWITH MULITIDIAMETER HOLES TO THE INSIDE SURFACE.
= X = 13.293 mmc2O = DISTANCE FROM NEUTRAL AXIS OF CROSS SECTION OF PLATE
WITH MULITIDIAMETER HOLES TO THE EXTREME OUTSIDE SURFACE.= - ( t2 - X ) = -13.532 mm
c = THE LARGER OF c2i OR c2o = 13.532 mmDE = EQUIVALENT UNIFORM DIAMETER OF MULTIDIAMETER HOLE.
= p - ( 6 * I / t22 * c) = 29.781 mm
eb = BENDING LIGAMENT EFFICIENCY.= ( p - DE ) / p = 0.531
[ {(b0*T0) * ({T0/2} + T1 + T2)} + {(b1*T1) * ({T1/ 2} + T2)} +
{(b2*T2) * (T2/ 2)} ] * [ (b0*T0) + (b1*T1) + (b2*T2) ] - 1
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���� LIGAMENT EFFICIENCY OF TUBE SHEET AS PER APPENDIX 13-4 (g) AND UG - 53 (b) (1) :
INPUT DATA : VALUE UNITS
LONGITUDINAL PITCH OF TUBE HOLES, p = 63.500 mmDIAMETER OF TUBE HOLES, d = 25.750 mm
CALCULATION :
LIGAMENT EFFICIENCY OF TUBE SHEET , e = [ p - d ] / p 0.594
EVALUATION OF JOINT & LIGAMENT EFFICIENCY AS PER APPENDIX 13
04.06.143
C5437-HCHE1
���� LIGAMENT EFFICIENCY OF STAY PLATE OF NOZZLE HEADER AS PER APPENDIX 13-4 (g) AND UG - 53 (b) (1) :
INPUT DATA : VALUE UNITS
LONGITUDINAL PITCH OF HOLES, p = 255.000 mmDIAMETER OF HOLES, d = 65.000 mm
CALCULATION :
LIGAMENT EFFICIENCY OF STAY PLATE , U = ( p - ( d + 2 * C ) ) / p = 0.720
���� LIGAMENT EFFICIENCY OF STAY PLATE OF RETURN HEADER AS PER APPENDIX 13-4 (g) AND UG - 53 (b) (1) :
INPUT DATA : VALUE UNITS
LONGITUDINAL PITCH OF HOLES, p = 248.000 mmDIAMETER OF HOLES, d = 75.000 mm
CALCULATION :
LIGAMENT EFFICIENCY OF STAY PLATE , U = ( p - ( d + 2 * C ) ) / p = 0.672
���� JOINT EFFICIENCY FACTOR "E"AS PER APPENDIX 13-5 :
a) NO CATEGORY "A" & "B" BUTT WELDS ARE ENVISAGED ON ANY OF THE FLAT COMPONENTS.
b) AS PER APPENDIX 13-5 FOOT NOTE - 1 , THE JOINT EFFICIENCY AS PER UW-12 IS NOT APPLICABLETO CATEGORY "C" & "D" JOINTS WHICH ARE NOT BUTT WELDED. SINCE STRESSES IN THESE JOINTS ARE CONTROLLED BY THE APPLICABLE RULES FOR SIZING SUCH JOINTS AS PER FIG. UW - 13.2 & UG - 34. HENCE E = 1 HAS BEEN CONSIDERED IN ALL CALCULATION.
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C5437-HCHE1
VESSEL SKETCH FOR NOZZLE HEADER AS PER FIG. 13.2 (a) SKETCH (10)
FIG . 13. 2(a) SKETCH (10) - VESSELS OF RECTANGULAR CROSS SECTION HAVING MORE THAN TWO COMPARTMENTOF UNEQUAL SIZE. AS PER 13 - 9 (F) (2), HEADER BOX HAS BEEN ANALYSED BY SELECTING THE COMPARTMENT HAVING THE MAXIMUM DIMENSIONS AND THEN ANALYSING THE STRUCTURE PER 13 - 9 (c).
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INPUT DATA : VALUE UNITS
P = DESIGN PRESSURE = 10.205 MPaT = DESIGN TEMPERATURE = 121.110 OCS = ALLOWABLE STRESS - PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 110.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mmt4' = THICKNESS OF STAY PLATE = 20.000 mm U = STAY PLATE LIGAMENT EFFICIENCY = 0.720E = JOINT EFFICIENCY FACTOR = 1.000
Ew = NOZZLE WELD EFFICIENCY = 1.000TP = TUBE PITCH = 63.500 mmRT = TUBE INSIDE RADIUS = 10.590 mmDP = TUBE PLUG DIAMETER = 28.575 mmDH = TUBE HOLE INSIDE DIAMETER = 25.750 mmD' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200t5 = THICKNESS OF END PLATE = 30.000 mm
CALCULATIONS :
04.06.143
C5437-HCHE1
INPUT DATA FOR NOZZLE HEADER AS PER APPENDIX 13-9 (c) & 13-5
h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 116.350 mm� = RECTANGULAR VESSEL PARAMETER = H / h = 1.126t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.421e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Page No: 15 of 50Date:Revision:Document No:Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON SHORT SIDE PLATE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = [ P * h / 2 * t1 ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ]= [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 22.043 MPa [ 13.9 (c) (1) (13) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 15.97% SAFE
B) BENDING STRESS ON SHORT SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 184.957 MPa [ 13.4 (b) ]
(Sb)N = [P * c1 / 24 * I1] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -63.032 MPa [ 13.9 (c) (2) (16) ]
% ALLOWABLE = [ (Sb)N / Sa ] * 100 = 34.08% SAFE
(Sb)Q = [ P * h2 * c1 / 12 * I1 ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 105.092 MPa [ 13.9 (c) (2) (17) ]
% ALLOWABLE = [ (Sb)Q / Sa ] * 100 = 56.82% SAFE
C) TOTAL STRESS ON SHORT SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
THICKNESS EVALUATION OF TOP & BOTTOM PLATE OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
04.06.14
C5437-HC3
HE1
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)N = Sm + (Sb)N = -40.989 MPa [ 13.9 (c) (3) (20) ]
% ALLOWABLE = [ (ST)N / Sa ] * 100 = 19.80% SAFE
(ST)Q = Sm + (Sb)Q = 127.135 MPa [ 13.9 (c) (3) (21) ]
% ALLOWABLE = [ (ST)Q / Sa ] * 100 = 61.42% SAFE
D) MINIMUM THICKNESS OF TOP & BOTTOM PLATE :
FOR MIN. THICKNESS, CONSIDERING t1' = 22.500 mm, t2' = 27.700 mm & t4' = 16.800 mm & OTHER INPUT DATA REMAINING SAME THEN,
Sm = 28.448 MPa(Sb)N = -100.495 MPa (Sb)Q = 176.944 MPa(ST)N = -72.047 MPa % ALLOWABLE = [ (ST)N / Sa ] * 100 = 34.81%(ST)Q = 205.392 MPa % ALLOWABLE = [(ST)Q / Sa ] * 100 = 99.22%
HENCE, t1 = 19.325 mm IS CONSIDERED AS THE MINIMUM REQUIRED THK. TO BE USED IN FOLLOWING CALCULATION.
i) COMPENSATION CALCULATION AS PER UG-37 & UG-39.ii) WELD DESIGN AS PER FIG. UG-34 (g)
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 12.000 28.00
PROVIDED THK. REMARKCALCULATEDDESCRIPTION
MINIMUM THICKNESSSR. NO.
mmUG-16
mm
TOP / BOTTOM PLATE 22.500 SAFE
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
Page No: 16 of 50Date:Revision:Document No:Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON LONG SIDE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = ( P * H ) / ( 2 * t2 )= ( P * H ) / ( 2 * t2 * e ) = 37.258 MPa [ 13.9 (c) (1) (14) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 27.00% SAFE
B) BENDING STRESS ON LONG SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 169.742 MPa [ 13.4 (b) ]
(Sb)M = [ P * h2 * c2 / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2 / 12 * I2 * e ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 122.705 MPa [ 13.9 (c) (2) (18) ]
% ALLOWABLE = [ (Sb)M / Sa ] * 100 = 72.29% SAFE
(Sb)Q = [ P * h2 * c2 / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 90.005 MPa [ 13.9 (c) (2) (19) ]
% ALLOWABLE = [ (Sb)Q / Sa ] * 100 = 53.02% SAFE
THICKNESS EVALUATION OF TUBE SHEET OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
04.06.143
C5437-HCHE1
C) TOTAL STRESS ON LONG SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)M = Sm + (Sb)M = 159.963 MPa [ 13.9 (c) (3) (22) ]
% ALLOWABLE = [ (ST)M / Sa ] * 100 = 77.28% SAFE
(ST)Q = Sm + (Sb)Q = 127.263 MPa [ 13.9 (c) (3) (23) ]
% ALLOWABLE = [ (ST)Q / Sa ] * 100 = 61.48% SAFE
D) MINIMUM THICKNESS OF TUBE SHEET :
AS A CONSERVATIVE DESIGN, PLUG SHEET MINIMUM THICKNESS IS USED THROUGHOUT THE CALCULATION.REFER SHEET "THICKNESS EVALUATION OF PLUG SHEET OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)" FOR MINIMUM THICKNESS.
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 19.000 30.00
i RULES OF APPENDIX 28 IS APPLICABLE FOR CORNER WELD JOINT
SR. NO.
DESCRIPTIONMINIMUM THICKNESS PROVIDED
THK. REMARKUG-16 CALCULATED UW-13.2 (d)
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
mm mm mm
TUBE SHEET 27.700 NAi SAFE
Page No: 17 of 50Date:Revision:Document No:
Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON LONG SIDE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = ( P * H ) / ( 2 * t2 ) = ( P * H ) / ( 2 * t2 * em ) = 40.608 MPa [ 13.9 (c) (1) (14) ]% ALLOWABLE = ( Sm / Sa ) * 100 = 29.43% SAFE
B) BENDING STRESS ON LONG SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 166.392 MPa [ 13.4 (b) ]
(Sb)Mi = [ P * h2 * c2i / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 136.040 MPa [ 13.9 (c) (2) (18) ]% ALLOWABLE = [ (Sb)Mi / Sa ] * 100 = 81.76% SAFE
(Sb)Mo = [ P * h2 * c2o / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -138.486 MPa [ 13.9 (c) (2) (18) ]% ALLOWABLE = [ (Sb)Mo / Sa ] * 100 = 83.23% SAFE
(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 89.203 MPa [ 13.9 (c) (2) (19) ]% ALLOWABLE = [ (Sb)Qi / Sa ] * 100 = 53.61% SAFE
(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -90.807 MPa [ 13.9 (c) (2) (19) ]% ALLOWABLE = [ (Sb)Qo / ALLOWABLE STRESS ] * 100 = 54.57% SAFE
C) TOTAL STRESS ON LONG SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)Mi = Sm + (Sb)Mi = 176.648 MPa [ 13.9 (c) (3) (22) ]% ALLOWABLE = [ (S ) / Sa ] * 100 = 85.34% SAFE
04.06.14
HE1
THICKNESS EVALUATION OF PLUG SHEET OF NOZZLE HEADER AS PER APPENDIX 13-9 (c)
3C5437-HC
% ALLOWABLE = [ (ST)Mi / Sa ] * 100 = 85.34% SAFE
(ST)Mo = Sm + (Sb)Mo = -97.878 MPa [ 13.9 (c) (3) (22) ]% ALLOWABLE = [ (ST)Mo / Sa ] * 100 = 47.28% SAFE
(ST)Qi = Sm + (Sb)Qi = 129.811 MPa [ 13.9 (c) (3) (23) ]% ALLOWABLE = [ (ST)Qi / ALLOWABLE STRESS ] * 100 = 62.71% SAFE
(ST)Qo = Sm + (Sb)Qo = -50.199 MPa [ 13.9 (c) (3) (23) ]% ALLOWABLE = [ (ST)Qo / Sa ] * 100 = 24.25% SAFE
D) MINIMUM THICKNESS OF PLUG SHEET :
FOR MIN. THICKNESS, CONSIDERING t1' = 22.500 mm, t2' = 27.700 mm & t4' = 16.800 mm & OTHER INPUT DATA REMAINING SAME THEN,
Sm = 44.416 MPa(Sb)Mi = 162.412 MPa (Sb)Mo = -165.609 MPa(Sb)Qi = 108.794 MPa (Sb)Qo = -110.935 MPa(ST)Mi = 206.828 MPa % ALLOWABLE = [ (ST)Mi / Sa ] * 100 = 99.92%(ST)Mo = -121.193 MPa % ALLOWABLE = [ (ST)Mo / Sa ] * 100 = 58.55%(ST)Qi = 153.210 MPa % ALLOWABLE = [(ST)Qi / Sa ] * 100 = 74.01%(ST)Qo = -66.519 MPa % ALLOWABLE = [(ST)Qo / Sa ] * 100 = 32.13%
HENCE, t2 = 24.525 mm IS CONSIDERED AS THE MINIMUM REQUIRED THK. TO BE USED IN FOLLOWING CALCULATION.i) WELD DESIGN AS PER FIG. APPENDIX-28.ii) WELD DESIGN AS PER FIG.UG-34 (g).
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 19.000 30.00
i RULES OF APPENDIX 28 IS APPLICABLE FOR CORNER WELD JOINT
mm
NAi
MINIMUM THICKNESS PROVIDED THK. REMARKDESCRIPTION UG-16 CALCULATED
SAFE
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
mm mm
SR. NO.
PLUG SHEET 27.700
UW-13.2 (d)
Page No: 18 of 50Date:Revision:Document No:
Tag No:
1) THICKNESS EVALUATION - STAY PLATE AS PER APPENDIX 13-9 (c) :
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON STAY PLATE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = [ P * h / 2 * t4 ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ]= [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 105.265 MPa [ 13.9 (c) (1) (15) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 76.28% SAFE
B) TOTAL STRESS ON STAY PLATE , ST :
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
(ST) = Sm = 105.265 MPa [ 13.9 (c) (3) (24) ]
% ALLOWABLE = [ (ST) / Sa ] * 100 = 76.28% SAFE
C) MINIMUM THICKNESS OF STAY PLATE :
FOR MIN. THICKNESS, CONSIDERING t1' = 22.500 mm, t2' = 27.700 mm & t4' = 16.800 mm & OTHER INPUT DATA REMAINING SAME THEN,
THK. EVALUATION OF STAY & END PLATE OF NOZZLE HEADER AS PER APPENDIX 13-9 (c) & UG-34
04.06.143
C5437-HC
HE1
Sm = 137.161 MPa(ST) = 137.161 MPa % ALLOWABLE = [ (ST) / Sa ] * 100 = 99.39%
2) THICKNESS EVALUATION - END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 :
A) END PLATE THICKNESS :
t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + C = 25.548 mm [ UG-34 (c) (3) ](Minimum Thickness Required)
3) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + 2 * C 7.850 12.000 20.000
2 1.5 + C 4.675 12.000 30.000
SR. NO. DESCRIPTIONMINIMUM THICKNESS PROVIDED
THK. REMARKUG-16 (b) CALCULATED
mm mm
END PLATE 25.548
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
STAY PLATE 16.800 SAFE
SAFE
Page No: 19 of 50Date:Revision:Document No:Tag No:
04.06.143
C5437-HCHE1
VESSEL SKETCH FOR RETURN HEADER AS PER FIG. 13.2 (a) SKETCH (10)
FIG . 13. 2(a) SKETCH (10) - VESSELS OF RECTANGULAR CROSS SECTION HAVING MORE THAN TWO COMPARTMENTOF UNEQUAL SIZE. AS PER 13 - 9 (F) (2), HEADER BOX HAS BEEN ANALYSED BY SELECTING THE COMPARTMENT HAVING THE MAXIMUM DIMENSIONS AND THEN ANALYSING THE STRUCTURE PER 13 - 9 (c).
SINCE NOZZLE & RETUTN HEADER HAVING SAME INSIDE LENGTH OF SHORT SIDE ( H ), ONLY NOZZLE HEADER IS ANALYSED SELECTING THE COMPARTMENT HAVING MAXIMUM DIMENSION
Page No: 20 of 50Date:Revision:Document No:Tag No:
INPUT DATA : VALUE UNITS
P = DESIGN PRESSURE = 10.205 MPaT = DESIGN TEMPERATURE = 121.110 OCS = ALLOWABLE STRESS - PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 100.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mmt4' = THICKNESS OF STAY PLATE = 20.000 mm U = STAY PLATE LIGAMENT EFFICIENCY = 0.672E = JOINT EFFICIENCY FACTOR = 1.000
Ew = NOZZLE WELD EFFICIENCY = 1.000TP = TUBE PITCH = 63.500 mmRT = TUBE INSIDE RADIUS = 10.590 mmDP = TUBE PLUG DIAMETER = 28.575 mmDH = TUBE HOLE INSIDE DIAMETER = 25.750 mmD' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200t5 = THICKNESS OF END PLATE = 28.000 mm
CALCULATIONS :
04.06.143
C5437-HCHE1
INPUT DATA FOR RETURN HEADER AS PER APPENDIX 13-9 (c) & 13-5
h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 106.350 mm� = RECTANGULAR VESSEL PARAMETER = H / h = 1.029t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.298e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Page No: 21 of 50Date:Revision:Document No:Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON SHORT SIDE PLATE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = [ P * h / 2 * t1 ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ]= [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 21.413 MPa [ 13.9 (c) (1) (13) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 15.52% SAFE
B) BENDING STRESS ON SHORT SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 185.587 MPa [ 13.4 (b) ]
(Sb)N = [P * c1 / 24 * I1] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -48.472 MPa [ 13.9 (c) (2) (16) ]
% ALLOWABLE = [ (Sb)N / Sa ] * 100 = 26.12% SAFE
(Sb)Q = [ P * h2 * c1 / 12 * I1 ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 91.994 MPa [ 13.9 (c) (2) (17) ]
% ALLOWABLE = [ (Sb)Q / Sa ] * 100 = 49.57% SAFE
C) TOTAL STRESS ON SHORT SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
3C5437-HC
HE1
THICKNESS EVALUATION OF TOP & BOTTOM PLATE OF RETURN HEADER AS PER APPENDIX 13-9 (c)
04.06.14
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)N = Sm + (Sb)N = -27.059 MPa [ 13.9 (c) (3) (20) ]
% ALLOWABLE = [ (ST)N / Sa ] * 100 = 13.07% SAFE
(ST)Q = Sm + (Sb)Q = 113.407 MPa [ 13.9 (c) (3) (21) ]
% ALLOWABLE = [ (ST)Q / Sa ] * 100 = 54.79% SAFE
D) MINIMUM THICKNESS OF TOP & BOTTOM PLATE :
FOR MIN. THICKNESS, CONSIDERING t1' = 21.200 mm, t2' = 27.900 mm & t4' = 17.750 mm & OTHER INPUT DATA REMAINING SAME THEN,
Sm = 29.537 MPa(Sb)N = -90.642 MPa (Sb)Q = 175.798 MPa(ST)N = -61.105 MPa % ALLOWABLE = [ (ST)N / Sa ] * 100 = 29.52%(ST)Q = 205.335 MPa % ALLOWABLE = [(ST)Q / Sa ] * 100 = 99.20%
HENCE, t1 = 18.025 mm IS CONSIDERED AS THE MINIMUM REQUIRED THK. TO BE USED IN FOLLOWING CALCULATION.
i) COMPENSATION CALCULATION AS PER UG-37 & UG-39.ii) WELD DESIGN AS PER FIG. UG-34 (g)
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 12.000 28.00
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
REMARKUG-16 CALCULATEDSR. NO.mm
DESCRIPTION
SAFE
mm
TOP / BOTTOM PLATE
PROVIDED THK.
21.200
MINIMUM THICKNESS
Page No: 22 of 50Date:Revision:Document No:Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON LONG SIDE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = ( P * H ) / ( 2 * t2 )= ( P * H ) / ( 2 * t2 * e ) = 34.056 MPa [ 13.9 (c) (1) (14) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 24.68% SAFE
B) BENDING STRESS ON LONG SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 172.944 MPa [ 13.4 (b) ]
(Sb)M = [ P * h2 * c2 / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2 / 12 * I2 * e ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 126.482 MPa [ 13.9 (c) (2) (18) ]
% ALLOWABLE = [ (Sb)M / Sa ] * 100 = 73.13% SAFE
(Sb)Q = [ P * h2 * c2 / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 78.788 MPa [ 13.9 (c) (2) (19) ]
% ALLOWABLE = [ (Sb)Q / Sa ] * 100 = 45.56% SAFE
THICKNESS EVALUATION OF TUBE SHEET OF RETURN HEADER AS PER APPENDIX 13-9 (c)
04.06.143
C5437-HCHE1
C) TOTAL STRESS ON LONG SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)M = Sm + (Sb)M = 160.538 MPa [ 13.9 (c) (3) (22) ]
% ALLOWABLE = [ (ST)M / Sa ] * 100 = 77.55% SAFE
(ST)Q = Sm + (Sb)Q = 112.844 MPa [ 13.9 (c) (3) (23) ]
% ALLOWABLE = [ (ST)Q / Sa ] * 100 = 54.51% SAFE
D) MINIMUM THICKNESS OF TUBE SHEET :
AS A CONSERVATIVE DESIGN, PLUG SHEET MINIMUM THICKNESS IS USED THROUGHOUT THE CALCULATION.REFER SHEET "THICKNESS EVALUATION OF PLUG SHEET OF RETURN HEADER AS PER APPENDIX 13-9 (c)" FOR MINIMUM THICKNESS.
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 19.000 30.00
i RULES OF APPENDIX 28 IS APPLICABLE FOR CORNER WELD JOINT
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
mm mm
TUBE SHEET 27.900 NAi SAFE
SR. NO.
DESCRIPTIONMINIMUM THICKNESS PROVIDED
THK. REMARKUG-16 CALCULATED UW-13.2 (d)
mm
Page No: 23 of 50Date:Revision:Document No:
Tag No:
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON LONG SIDE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = ( P * H ) / ( 2 * t2 ) = ( P * H ) / ( 2 * t2 * em ) = 37.118 MPa [ 13.9 (c) (1) (14) ]% ALLOWABLE = ( Sm / Sa ) * 100 = 26.90% SAFE
B) BENDING STRESS ON LONG SIDE, Sb :
Sa = ALLOWABLE STRESS = ( 1.5 * S ) - Sm = 169.882 MPa [ 13.4 (b) ]
(Sb)Mi = [ P * h2 * c2i / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 140.228 MPa [ 13.9 (c) (2) (18) ]% ALLOWABLE = [ (Sb)Mi / Sa ] * 100 = 82.54% SAFE
(Sb)Mo = [ P * h2 * c2o / 12 * I2 ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ]= [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -142.749 MPa [ 13.9 (c) (2) (18) ]% ALLOWABLE = [ (Sb)Mo / Sa ] * 100 = 84.03% SAFE
(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 78.086 MPa [ 13.9 (c) (2) (19) ]% ALLOWABLE = [ (Sb)Qi / Sa ] * 100 = 45.96% SAFE
(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -79.490 MPa [ 13.9 (c) (2) (19) ]% ALLOWABLE = [ (Sb)Qo / ALLOWABLE STRESS ] * 100 = 46.79% SAFE
C) TOTAL STRESS ON LONG SIDE, ST :
Sa = ALLOWABLE STRESS = ( 1.5* S ) = 207.000 MPa [ 13.4 (b) ]
(ST)Mi = Sm + (Sb)Mi = 177.346 MPa [ 13.9 (c) (3) (22) ]% ALLOWABLE = [ (S ) / Sa ] * 100 = 85.67% SAFE
THICKNESS EVALUATION OF PLUG SHEET OF RETURN HEADER AS PER APPENDIX 13-9 (c)
04.06.143
C5437-HC
HE1
% ALLOWABLE = [ (ST)Mi / Sa ] * 100 = 85.67% SAFE
(ST)Mo = Sm + (Sb)Mo = -105.631 MPa [ 13.9 (c) (3) (22) ]% ALLOWABLE = [ (ST)Mo / Sa ] * 100 = 51.03% SAFE
(ST)Qi = Sm + (Sb)Qi = 115.204 MPa [ 13.9 (c) (3) (23) ]% ALLOWABLE = [ (ST)Qi / ALLOWABLE STRESS ] * 100 = 55.65% SAFE
(ST)Qo = Sm + (Sb)Qo = -42.372 MPa [ 13.9 (c) (3) (23) ]% ALLOWABLE = [ (ST)Qo / Sa ] * 100 = 20.47% SAFE
D) MINIMUM THICKNESS OF PLUG SHEET :
FOR MIN. THICKNESS, CONSIDERING t1' = 21.200 mm, t2' = 27.900 mm & t4' = 17.750 mm & OTHER INPUT DATA REMAINING SAME THEN,
Sm = 40.271 MPa(Sb)Mi = 165.298 MPa (Sb)Mo = -168.525 MPa(Sb)Qi = 92.528 MPa (Sb)Qo = -94.334 MPa(ST)Mi = 205.569 MPa % ALLOWABLE = [ (ST)Mi / Sa ] * 100 = 99.31%(ST)Mo = -128.254 MPa % ALLOWABLE = [ (ST)Mo / Sa ] * 100 = 61.96%(ST)Qi = 132.799 MPa % ALLOWABLE = [(ST)Qi / Sa ] * 100 = 64.15%(ST)Qo = -54.063 MPa % ALLOWABLE = [(ST)Qo / Sa ] * 100 = 26.12%
HENCE, t2 = 24.725 mm IS CONSIDERED AS THE MINIMUM REQUIRED THK. TO BE USED IN FOLLOWING CALCULATION.i) WELD DESIGN AS PER FIG. APPENDIX-28.ii) WELD DESIGN AS PER FIG.UG-34 (g).
E) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + C 4.675 19.000 30.00
i RULES OF APPENDIX 28 IS APPLICABLE FOR CORNER WELD JOINT
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
mm mm
PLUG SHEET 27.900 NAi SAFE
SR. NO.
DESCRIPTIONMINIMUM THICKNESS PROVIDED
THK. REMARKUG-16 CALCULATED UW-13.2 (d)mm
Page No: 24 of 50Date:Revision:Document No:
Tag No:
1) THICKNESS EVALUATION - STAY PLATE AS PER APPENDIX 13-9 (c) :
PLUS ( + ) SIGNIFIES TENSION STRESS & MINUS ( - ) SIGNIFIES COMPRESSION STRESS
A) MEMBRANE STRESS ON STAY PLATE, Sm : VALUE UNITS
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
Sm = [ P * h / 2 * t4 ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ]= [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 114.521 MPa [ 13.9 (c) (1) (15) ]
% ALLOWABLE = ( Sm / Sa ) * 100 = 82.99% SAFE
B) TOTAL STRESS ON STAY PLATE , ST :
Sa = ALLOWABLE STRESS = ( 1.0 * S ) = 138.000 MPa [ 13.4 (b) ]
(ST) = Sm = 114.521 MPa [ 13.9 (c) (3) (24) ]
% ALLOWABLE = [ (ST) / Sa ] * 100 = 82.99% SAFE
C) MINIMUM THICKNESS OF STAY PLATE :
FOR MIN. THICKNESS, CONSIDERING t1' = 21.200 mm, t2' = 27.900 mm & t4' = 17.750 mm & OTHER INPUT DATA REMAINING SAME THEN,
HE1
THK. EVALUATION OF STAY & END PLATE OF RETURN HEADER AS PER APPENDIX 13-9 (c) & UG-34
C5437-HC
04.06.143
Sm = 137.017 MPa(ST) = 137.017 MPa % ALLOWABLE = [ (ST) / Sa ] * 100 = 99.29%
2) THICKNESS EVALUATION - END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 :
A) END PLATE THICKNESS :
t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + C = 23.625 mm [ UG-34 (c) (3) ](Minimum Thickness Required)
3) SUMMARY OF THICKNESS:
API 661mm mm
1 1.5 + 2 * C 7.850 12.000 20.000
2 1.5 + C 4.675 12.000 28.000
NOTE: THICKNESS MENTIONED ABOVE INCLUDES CORROSION ALLOWANCE
END PLATE 23.625 SAFE
STAY PLATE 17.750 SAFE
mm mmSR. NO. DESCRIPTION
MINIMUM THICKNESS PROVIDED THK. REMARKUG-16 (b) CALCULATED
Page No: 25 of 50Date:Revision:Document No:Tag No:
���� UG-31 (a) :
THE REQUIRED WALL THICKNESS FOR TUBES UNDER INTERNAL PRESSURE SHALL BE DETERMINED IN ACCORDANCEWITH THE RULES FOR SHELLS IN UG-27.
���� THICKNESS EVALUATION OF TUBE AS PER UG-27 (c) :
INPUT DATA : VALUE UNIT
P = INTERNAL DESIGN PRESSURE = 10.205 MPa (g)T = DESIGN TEMPERATURE = 121.110 º C
Di = INSIDE DIAMETER OF TUBE (CORRODED) = 21.180 mmRi = INSIDE RADIUS OF TUBE (CORRODED) = 10.590 mmEl = LONGITUDINAL JOINT EFFICIENCY (SEAMLESS) = 1.000
Ec = CIRCUMFERENTIAL JOINT EFFICIENCY (SEAMLESS) = 1.000C = CORROSION ALLOWANCE = 0.000 mmS = MAX. ALLOWABLE STRESS AT DESIGN TEMPERATURE = 92.400 MPa
MOC = MATERIAL OF CONSTRUCTION = SA-179
1) CIRCUMFERENTIAL STRESS ( LONGITUDINAL JOINTS ) :(¡) CONSIDERING JOINT EFFICIENCY El = 1
ts = [ ( P * Ri ) / ( S * E - 0.6 * P ) ] + C = 1.253 mm
THICKNESS EVALUATION OF TUBE AS PER UG-31 AND UG-27
04.06.143
C5437-HCHE1
CHECK WHETHER,ts < (Ri/2 +c) YESP < (0.385 x S x EI) YES
HENCE ABOVE FORMULA IS OK.
2) LONGITUDINAL STRESS ( CIRCUMFERENTIAL JOINTS ) :(¡) CONSIDERING JOINT EFFICIENCY Ec = 1
ts = [ ( P * Ri ) / ( 2 * S * Ec + 0.4 * P ) ] + C = 0.572 mm
CHECK WHETHER,ts < (Ri/2 +c) YESP < (1.25 x S x EC) YES
HENCE ABOVE FORMULA IS OK.
3) MINIMUM THICKNESS REQUIRED AS PER UG 16 (b) (5) (d) tmin = 0.500 mm
4) CONCLUSION :a) REQUIRED TUBE THICKNESS IS GREATER OF 1), ts = 1.253 mm
2) & 3) ABOVE
b) PROVIDED NOMINAL TUBE THICKNESS ts = 2.110 mm
c) PROVIDED THICKNESS IS LAGER THAN THE REQUIRED THICKNESS DUE TO PRESSURE, HENCE SAFE.
Page No: 26 of 50Date:Revision:Document No:Tag No:
NOZZLE SIZENOZZLE MATERIALNOZZLE LOCATION NOZZLE MARK NO.INPUT DATA :
P = INTERNAL DESIGN PRESSURE MPa (g)Pe = EXTERNAL DESIGN PRESSURE MPa (g)Sn = ALLOWABLE STRESS - NOZZLE MPaSv = ALLOWABLE STRESS - VESSEL MPaDo = OUT SIDE DIA. OF NOZZLE CONNECTION mmRo = OUT SIDE RADIUS OF NOZZLE CONNECTION mmEl = LONGITUDINAL JOINT EFFICIENCY
tstd = STD. WALL THK. OF PIPE (ASME B 36.10) mmC = CORROSION ALLOWANCE. mm
(A)t= (P*Ro) / (Sn*El + 0.4P) …..[APPENDIX 1-1(a)] mm
ta = REQUIRED THICKNESS = (ta + C ) mm
(B)(i) FOR INTERNAL PRESSURE ONLY
JOINT EFFICIENCY AS 1.0 mm- 1) TOP/ BOTTOM PLATE CALCULATED THK. WITH
19.325 18.025
MINIMUM THICKNESS OF NOZZLE AS PER UG-45:
12.332 5.222
9.157 2.047MINIMUM THICKNESS OF NOZZLE AS PER UG-45:
3.175 3.175
1 18.18 3.91
219.100 57.000109.55 28.5
118.000 138.000138.000 138.000
10.205 10.2050.000 0.000
SA-234 Gr.WPB SA-105N NOZZLE HEADER RETURN HEADER
04.06.143
C5437-HCHE1
NOZZLE THICKNESS CALCULATION AS PER UG-45
DN 200 DN 25 NPT
N1 - N4 V / D
JOINT EFFICIENCY AS 1.0 mm- 2) THE MINIMUM THICKNESS AS PER UG - 16 (b) : = 1.5 + C mm
tb1 = MAXIMUM OF 1) & 2) ABOVE mm(ii) FOR EXTERNAL PRESSURE ONLY
EFFICIENCY AS 1.0 mm- 2) THE MINIMUM THICKNESS AS PER UG - 16 (b) : = 1.5 + C mm
tb2 = MAXIMUM OF 1) & 2) ABOVE mm
(iii) tb3 = THK AS PER TABLE UG-45 mm
(iv) tb = MIN OF [tb3, MAX(tb1,tb2)] mm
(C) MIN.REQUIRED THK. IS tUG-45 = MAX (ta, tb) mm
(D) MINIMUM NOZZLE THK. PROVIDED mm(E) NOMINAL NOZZLE THK. PROVIDED mm 23.01 SCH 160 11.8 6000 #
SUMMARY :
N1 - N4 DN 200 SCH 160V / D DN 25 NPT 6000 #
C1 - C2 DN 50 SCH 160
20.134 11.800
12.332 6.135
10.335 6.135
10.335 6.135
0.000 0.0000.000 0.000
- 1) TOP/ BOTTOM PLATE CALCULATED THK. WITH 0 0
19.325 18.0254.675 4.675
19.325 18.025
Page No: 27 of 50Date:Revision:Document No:Tag No:
���� APPENDIX 13-4 (j) (1) :
OPENINGS IN NONCIRCULAR VESSELS DO NOT REQUIRE REINFORCEMENT OTHER THAN THAT INHERENT IN THECONSTRUCTION, PROVIDED THEY MEET THE CONDITIONS GIVEN IN UG-36 (c) (3)
���� FINISHED OPENING DIAMETER AS PER UG-36 (c) (1) & FIG. UG-40 (b-3) :
INPUT DATA : N1 - N4
Dn = OUTER DIAMETER OF NOZZLE mm 219.100Wt = NOMINAL NOZZLE WALL THICKNESS mm 23.010
C = CORROSION ALLOWANCE mm 3.175tn = NOZZLE WALL THICKNESS (CORRODED) mm 19.835d = FINISHED DIA. OF CIRCULAR OPENING = (Dn - 2*tn) mm 179.430t1 = REQUIRED MINIMUM THICKNESS SHELL mm 19.325
���� REINFORCEMENT EXEMPTION AS PER UG-36 (c) (3) :
OPENINGS OF FOLLOWING SIZES IN THE VESSELS NOT SUBJECT TO RAPID FLUCTUATIONS IN PRESSURE ARE EXEMPTED FROM REINFORCEMENT PROVIDED :
UG-36 (c) (3) (a) : - FINISHED OPENINGS NOT LARGER THAN 89 mm DIAMETER FOR REQUIRED MINIMUM THICKNESS 10 mm OR LESS. - FINISHED OPENINGS NOT LARGER THAN 60 mm DIAMETER FOR REQUIRED MINIMUM THICKNESS GREATER THAN 10 mm.
39.75018.025
04.06.143
C5437-HCHE1
8.625
REINFORCEMENT REQUIREMENT FOR NOZZLE AS PER APPENDIX 13-4
V / D
57.00011.8003.175
UG-36 (c) (3) (b) : THREADED, STUDDED, OR EXPANDED CONNECTIONS IN WHICH THE HOLE CUT IN THE SHELLOR HEAD NOT GREATER THAN 60 mm DIAMETER.
UG-36 (c) (3) (c) : NO TWO ISOLATED UNREINFORCED OPENINGS IN ACCORDANCE WITH (a) OR (b) ABOVE, SHALLHAVE THEIR CENTERS CLOSER TO EACH OTHER THAN THE SUM OF THEIR DIAMETERS.
UG-36 (c) (3) (d) : NO TWO UNREINFORCED OPENINGS, IN A CLUSTER OF THREE OR MORE UNREINFORCED OPENINGS IN ACCORDANCE WITH (a) OR (b) ABOVE, SHALL HAVE THEIR CENTERS CLOSERTO EACH OTHER THAN THE FOLLOWINGS :
FOR CYLINDRICAL OR CONICAL SHELLS : (1 + 1.5 COS � ) (d1 + d2)FOR DOUBLY CURVED SHELLS & FORMED OR FLAT HEAD : : 2.5 * (d1 + d2 )
WHERE,� = THE ANGLE BETWEEN THE LINE CONNECTING THE CENTER OF THE OPENINGS
AND THE LONGITUDINAL AXIS OF THE SHELLd1, d2 = THE FINISHED DIAMETER OF THE TWO ADJACENT OPENINGS.
���� CONCLUSION :
A) OPENING IN VESSEL IS NOT SUBJECTED TO RAPID FLUCTUATION IN PRESSURE.B) OPENINGS ON TOP AND BOTTOM PLATE ARE SINGLE & ISOLATED FOR BOTH INLET & OUTLET HEADER.C) NOZZLE N1 - N4 : FINISHED DIAMETER OF OPENING IS 179.43 mm WHICH IS LARGER THAN 60.00 mm AND
REQUIRED MINIMUM THICKNESS OF SHELL IS 19.325 mm WHICH IS GREATER THAN 10 mm THICKNESS. SINCE OPENING IS LARGER THAN 60.00 mm, REINFORCEMENT NEEDS TO BE CHECKED AS PER UG-37 TO UG-42.
D) NOZZLE V / D : FINISHED DIAMETER OF OPENING IS 39.75 mm WHICH IS SMALLER THAN 60.00 mm AND REQUIRED MINIMUM THICKNESS OF SHELL IS 18.025 mm WHICH IS GREATER THAN 10 mm THICKNESS. SINCE OPENING IS NOT LARGER THAN 60.00 mm, HENCE REINFORCEMENT IS NOT REQUIRED AS PER UG-36 (c) (3) (a).
Page No: 28 of 50Date:Revision:
Document No:Tag No:
NOZZLE SIZENOZZLE MATERIALNOZZLE LOCATION NOZZLE MARK NO.INPUTS DATA :
t = NOMINAL THICKNESS OF THE SHELL SECTION IN CORRODED CONDITION mm
tr = REQUIRED THK.OF SEAMLESS SHELL / HEAD BASED ON CIRCUMFERENTIAL STRESS, USING E=1 mm
E1 = FACTORF = FACTOR
E1*t-F*tr = EXCESS THK IN SHELL OR HEAD mmP = INTERNAL DESIGN PRESSURE MPa (g)
Sn = ALLOWABLE STRESS - NOZZLE MPaSv = ALLOWABLE STRESS - VESSEL MPaDn = OUT SIDE DIA. OF NOZZLE CONNECTION mmRo = OUTSIDE RADIUS OF NOZZLE CONNECTION mmRn = INSIDE RADIUS OF NOZZLE CONNECTION (CORRODED) mmEl = LONGITUDINAL JOINT EFFICIENCYC = CORROSION ALLOWANCE. mm
Tn, Ti = NOMINAL THICKNESS OF NOZZLE mmtn, ti = NOZZLE THICKNESS IN CORRODED CONDITION mm
trn = (P*Rn) / (Sn*El + 0.4P) …..[APPENDIX 1-1(a)] mm tn-trn = EXCESS THICKNESS IN NOZZLE mm
fr1 = Sn/Svfr2 = Sn/Svd = I.D. OF FINISHED OPENING (CORRODED) mmh = DISTANCE NOZZLE PROJECTS BEYOND INNER
SURFACE OF VESSEL WALL mmleg1 = WELD FILLET SIZE FOR OUTWARD NOZZLE mmleg2 = WELD FILLET SIZE FOR INWARD NOZZLE mm
3
C5437-HC
24.825
NOZZLE HEADERN1 - N4
SA-234 Gr.WPB
04.06.14
HE1
REINFORCEMENT REQUIREMENT IN Z-DIRECTION AS PER UG-39 & UG-37
DN 200
19.32511
5.50010.205118.000138.000304.787152.394132.559
13.17523.0119.83512.7397.0960.8550.855
265.117
0.0009.0000.000leg2 = WELD FILLET SIZE FOR INWARD NOZZLE mm
tp = THICKNESS OF TOP/BTM PLATE STIFFNER (CORRODED) mmLp = LENGTH OF TOP/BTM PLATE STIFFNER (CORRODED) mmNp = NOS. OF TOP/BTM PLATE STIFFNERts = THICKNESS OF NOZZLE STIFFNER (CORRODED) mmLs = LENGTH OF NOZZLE STIFFNER (CORRODED) mmNs = NOS. OF NOZZLE STIFFNER
REINFORCEMENT CALCULATION : (a) A1 = AREA AVAILABLE IN SHELL OR HEAD
(i) = (E1*t-F*tr)*d - 2*tn(E1*t-F*tr)(1-fr1) OR mm2
(ii) = 2(E1*t-F*tr)*(t+tn) - 2*tn*(E1*t-F*tr)*(1-fr1) mm2
(iii) A1 = GREATER VALUE OF (i) OR (ii) ABOVE mm2
(b) A2 = AREA AVAILABLE IN NOZZLE PROJECTING OUTWARD (i) = 5 * t * ( tn - trn ) * fr2 OR mm2
(ii) = 5 * tn * ( tn - trn ) * fr2 mm2
(iii) A2 = SMALLER VALUE OF (i) OR (ii) ABOVE mm2
(c) A3 = AREA AVAILABLE IN INWARD NOZZLE(i) = 5 * t * ti * fr2 (ii) = 5 * ti * ti * fr2(iii) = 2 * h * ti * fr2(iv) A3 = SMALLER VALUE OF (i) OR (ii) OR (iii) ABOVE mm2
(d) A41 = AREA AVAILABLE IN OUTWARD NOZZLE WELD(i) = leg1 * leg1 * fr2 mm2
(e) A43 = AREA AVAILABLE IN INWARD NOZZLE WELD(i) = leg2 * leg2 * fr2 mm2
(f) A5 = AREA AVAILABLE IN STIFFNERS= Np * Lp * tp + Ns * Ls * ts mm2
(g) A' = REINFORCEMENT AREA AVAILABLE WITHOUT PAD(i) = A1+A2+A3+A41+A43+A5 mm2
(h) A = REINFORCEMENT AREA REQUIRED(i) = 0.5 * d * tr + 2 * tn * tr * ( 1 - fr1 ) mm2
CONCLUSION :-1) CHECK WHETHER A' > A2) CHECK WHETHER REINFORCEMENT IS REQUIRED
0.00018.65039.6501.00018.65063.6501.000
1426.522459.6391426.522
753.140601.754601.754
2105.2051682.044
0.0000.000
69.261
0.000
1926.545
4024.082
NOT REQUIRED
2672.798
YES SATISFIED
Page No: 29 of 50
Date:
Revision:
Document No:Tag No:
�
NOZZLE SIZENOZZLE MATERIALNOZZLE LOCATION NOZZLE MARK NO.INPUTS DATA :
t = NOMINAL THICKNESS OF THE SHELL SECTION IN CORRODED CONDITION mm
trf = MIN REQ FLAT HEAD THK, EXCLUSIVE OF CORROSION
AS PER 4.6.1 (USING E = 1) mmte = THICKNESS OF THE REINFORCINGPAD mm
E1 = FACTORW = WIDTH OF THE REINFORCING PAD mmP = INTERNAL DESIGN PRESSURE MPa (g)
Sn = ALLOWABLE STRESS - NOZZLE MPaSv = ALLOWABLE STRESS - VESSEL MPa
Don = OUT SIDE DIA. OF NOZZLE CONNECTION mmEl = LONGITUDINAL JOINT EFFICIENCY
C = CORROSION ALLOWANCE. mmTn, Ti = NOMINAL THICKNESS OF NOZZLE mmtn, ti = NOZZLE THICKNESS IN CORRODED COND. mm
trn = Din * [ EXP(P/SnEl) - 1] / 2 mm
Din = NOZZLE INSIDE DIAMETER (CORRODED) mmRn = NOZZLE INSIDE RADIUS (CORRODED)
Lpr1 = NOZZLE PROJECTION FROM THE OUTSIDE OF THE
VESSEL WALL mmLpr2 = NOZZLE PROJECTION FROM THE INSIDE OF THE
VESSEL WALL mmL41 = WELD LEG LENGTH OF THE OUTSIDE
NOZZLE FILLET WELD mmL42 = WELD LEG LENGTH OF THE PAD TO
04.06.14
3
C5437-HCHE1
REINFORCEMENT REQUIREMENT AS PER U - 2(g)
REFERENCE : ASME SECTION VIII DIVISION 2 CL. 4.5.12DN 200 DN 20
SA-234 Gr.WPB SA-312M Gr TP316L NOZZLE HEADER HEADER
N1 - N4 D1 - D2 / V1 - V2
24.825 11.800
19.325 4.2460.000 0.000
1 10.000 1.00010.205 0.358118.000 108.520138.000 108.520219.100 26.700
1 1
3.175 323.01 5.5619.835 2.5608.104 832.065
179.430 21.58089.715 10.790
322.000 21.580
0.000 0.000
9.000 9.000L42 = WELD LEG LENGTH OF THE PAD TO
VESSEL FILLET WELD mmL43 = WELD LEG LENGTH OF THE INSIDE
NOZZLE FILLET WELD mm
CALCULATIONS:
MAXIMUM UNIT MOMENT AT THE NOZZLE INTERSECTION :
Mo =Sv * trf4 / 6(t + Cp * te)
2
Cp = MIN [{(W + 0.5 * L42) * te / (Rn * t)}, 0.6]
NOZZLE PARAMETERS :
����n = 1.285 / (Rnm * tn) ̂0.5
C1 = SINH2 [CL] + SIN2 [CL]
C2 = SINH2 [CL] - SIN2 [CL]CL = MIN [ {�n (Lpr1 + t + Lpr2)}, 6.0 ]
C3 = (Lpr1 + t) / [Lpr1 + t + MIN {(�n)-1 , Lpr2)}]
Rnm = Rn + 0.5 * tnRxn = tn / ln [(Rn + tn) / Rn]
xt = 0.5 * �n * (te + L41) (for nozzle abutting vessel wall)
Ct = EXP [-xt]
DETERMINE MAXIMUM LOCAL PRIMARY MEMBRANE STRESSIN THE NOZZLE INTERSECTION:
PL = (2 * Mo * �n2 * Rnm * Ct * C1 * C3 / tn C2) + (P * Rxn / tn)
CONCLUSION :-
PL <= 1.5 Sn
PL <= 1.5 S * E for internal pressure
0 0
0 0
5205.079
0.00
0.029
40688.27593
40688.11978
6.000
1.000
99.633
99.303
0.131
0.877
89.659
SAFESAFE
Page No: 30 of 50Date:Revision:Document No:Tag No:
���� AS PER UG - 44, THE FLANGE RATINGS SHALL BE IN ACCORDANCE WITH ASME B 16.5.
P = INTERNAL DESIGN PRESSURE = 10.205 MPa (g)T = DESIGN TEMPERATURE = 121.110 º C
13.785PERMITTED MAWP w.r.t DESIGN TEMP., MPa (g)
PERMITTED MAWP w.r.t ROOM TEMP., MPa (g)
15.320
SELECTED RATING 900
TABLE
MATERIAL GROUP
MATERIAL SA-105N
1.1
SIZE DN 200
TYPE OF FLANGE
2-1.1
WNRTJ
HE1
04.06.143
C5437-HC
FLANGE RATING CHECK AS PER UG-44 & ASME B16.5-2013
NOZZLE MARK NO. N1 - N4
PROVIDED RATING
MPa (g)
900
Page No: 31 of 50
Date:
Revision:
Document No:Tag No:
���� INSPECTION OPENING AS PER UG-46 (d) :
FOR VESSELS 300 mm OR LESS IN INSIDE DIAMETER, OPENINGS FOR INSPECTION ONLY MAY BE OMITTED IF THEREARE AT LEAST TWO REMOVABLE PIPE CONNECTIONS NOT LESS THAN DN 20.
���� CONCLUSION :
A) NOZZLE HEADER INSIDE DIMENSION (SHORT SPAN) IS 110 mm WHICH IS LESS THAN 300 mm.B) RETURN HEADER INSIDE DIMENSION (SHORT SPAN) IS 100 mm WHICH IS LESS THAN 300 mm.C) NOZZLE HEADER HAVING PIPE CONNECTION OF SIZE DN 200 WHICH IS LARGER THAN DN 20.D) RETURN HEADER HAVING PIPE CONNECTION OF DN 25 WHICH IS LARGER THAN DN 20.E) SEPARATE INSPECTION OPENING IS NOT REQUIRED, SINCE ALL THE REQUIREMENT OF UG-46 (d)
ARE COMPLIED AS DEMONSTRATED.INLET / OUTLET / VENT / DRAIN PIPE ARE USED AS INSPECTION OPENING.
INSPECTION OPENING AS PER UG-46.HE1
04.06.14
3
C5437-HC
Page No: 32 of 50Date:Revision:Document No:Tag No:
COMPONENTt tn tc = MIN (6, 0.7 * tmin)
04.06.143
C5437-HC
WELD DESIGN AS PER FIG. UW-16.1 (a)
FIG : UW 16.1 (a)
f = tc / 0.7fp
(min.)tmin = MIN(19,tn ,t)
HE1
RESULT
50°
mm mm mm
24.825 19.835 9.000 SAFE
24.825 8.625 9.000 SAFE
WHERE,t = NOMINAL THICKNESS OF TOP & BOTTOM PLATE / NOZZLE (CORRODED), mm
tn = NOMINAL THICKNESS OF NOZZLE (CORRODED), mmf = LEG SIZE OF FILLET WELD, mm
fp = PROVIDED LEG SIZE OF FILLET WELD, mm
���� CONCLUSION :
1) ALL REQUIREMENTS OF UW-16.1 (a) ARE SATISFIED AS DEMONSTRATED ABOVE.2) STRENGTH CALCULATIONS FOR NOZZLE ATTACHMENTS WELD AS PER FIG. UW-16.1 (a) IS NOT REQUIRED
AS PER UW-15 (b) (1) & UW-15 (b) (2).
8.571
mm mm mm
8.571
N1 - N4 - TOP/BTM PLATE - NOZZLE HEADER 19.000 6.000
V / D TOP/BTM PLATE - RETURN HEADER 8.625 6.000
Page No: 33 of 50Date:Revision:Document No:Tag No: HE1
WELD DESIGN AS PER APPENDIX 28 FIG. 28-1 (b)
04.06.143
C5437-HC
mm mm deg. deg. mm mm mm mm mm
31.00 16.564 32.50 15.00 28.00 30.00 16.564 0.59 13.44
31.00 16.564 32.50 15.00 28.00 30.00 16.564 0.59 13.44
WHERE, t = NOMINAL THICKNESS OF TUBE / PLUG SHEET, mmts = NOMINAL THICKNESS OF TOP / BOTTOM PLATE, mm
FOLLOWING CONDITION ARE SATISFIED TO MEET THE REQUIREMENTS OF APPENDIX 28.
APPENDIX 28-2 (f) (1)APPENDIX 28-2 (f) (2)APPENDIX 28-2 (f) (3)
a2 / ts > K SHOWN IN THE TABLE IN FIG. 28-1 (b) : CONSIDERING K = 0.6 AND a2 / ts = 0.55
���� CONCLUSION :1) ALL REQUIREMENTS OF APPENDIX 28 ARE SATISFIED AS DEMONSTRATED ABOVE.2) SINCE THE REQUIREMENT OF 28-2 (f) (4) IS SATISFIED, HENCE REQUIREMENT OF 28-2 (a) & 28-2 (b) IS
NOT APPLICABLE.3) SINCE VALUE FOR 'K' IS TAKEN AS 0.6, HENCE REQUIREMENT OF THROUGH-THICKNESS (Z DIRECTION) IS
NOT MANDATORY.
a2ts
SATISFIED CLAUSE
t - b(Ref)COMPONENTa(Ref.) b(Ref.) t
YESYES
CONDITIONS
YES
CONDITION
�
TOP / BOTTOM PLATE - TUBE / PLUG SHEET - NOZZLE HEADER
FIG : 28-1 (b)
a2 / ts
� > 15O
�
YES
TOP / BOTTOM PLATE - TUBE / PLUG SHEET - RETURN HEADER
� > 15O
a2 SHALL BE MEASURED FROM PROJECTED SURFACE OF PLATE
APPENDIX 28-2 (f) (4)
Page No: 34 of 50Date:Revision:Document No:Tag No:
2 * trtr 1.25 * ts tw = MIN (2 * tr , 1.25 * ts, t)
04.06.14
HE1
FIG : UG-34 (g)
t / twtst
C5437-HC
WELD DESIGN AS PER UG-34 (g)
3
mm mm mm mm mm mm
22.373 24.825 19.325 38.650 31.031 26.825 SAFE
22.373 26.825 24.525 49.050 33.531 26.825 SAFE
20.450 24.825 18.025 36.050 31.031 24.825 SAFE
20.450 26.825 24.725 49.450 33.531 24.825 SAFE
WHERE,t = MINIMUM REQUIRED THICKNESS OF END PLATE (CORRODED), mm
ts = NOMINAL THICKNESS OF TOP / BOTTOM PLATE OR TUBE / PLUG SHEET (CORRODED), mmtr = REQUIRED THICKNESS OF TOP / BOTTOM PLATE OR TUBE / PLUG SHEET, mm
tw = GROOVE DEPTH ON END PLATE (CORRODED), mm
���� CONCLUSION :
1) ALL REQUIREMENTS OF UG-34 (g) ARE SATISFIED AS DEMONSTRATED ABOVE.2) 100 % NDT REQUIRED ON WELD SEAM BETWEEN TOP/ BOTTOM PLATE TO END PLATE.
COMPONENTmm
2 * trtr
22.373END PLATE - TOP /BOTTOM PLATE - NOZZLE HEADER
1.25 * tsRESULT
tw = MIN (2 * tr , 1.25 * ts, t)
END PLATE - TUBE /PLUG SHEET - NOZZLE HEADER
22.373
t / twtst
END PLATE - TOP /BOTTOM PLATE - RETURN HEADER
20.450
END PLATE - TUBE /PLUG SHEET - RETURN HEADER
20.450
Page No: 35 of 50Date:Revision:Document No:Tag No:
P NO. / MATERIALGROUP CATEGORY
NO. CURVE OCA
1 SA-516 Gr.70 N 1 / 2 D -31.13
2 SA-516 Gr.70 N 1 / 2 D -32.38
3 SA-516 Gr.70 N 1 / 2 D -31.13
4 SA-516 Gr.70 N 1 / 2 D -39.80
5 SA-234 Gr.WPB 1 / 1 B -3.99
6 SA-105N 1 / 2UCS-66 (C)
(1) -29.00
7 SA-182 Gr.F316 8 / 1 UHA-51 ((d)
8 SA-105N 1 / 2 B -23.69
THICKNESS THK., UCS-66 (a) THK., UW-40 (f)mm
HEADER
TUBE / PLUG SHEET - HEADER 30.00 30.00 i 30.00 iii
MATERIAL SPEC.
COMPONENT GOVERNINGMDMT v
GOVERNING
HE1
04.06.143
C5437-HC
GOVERNING THICKNESS AS PER UCS-66, UHA-51 & UW-40 (f)
SR. NO.
COMPONENT / ITEM NO.
28.00 28.00 i 28.00 iii
30.00 i
STAY PLATE - HEADER 20.00 20.00 i 20.00 iii
mm mm
END PLATE NOZZLE HEADER 30.00 30.00 iii
TRANSITION NOZZLE -200 DN 23.01 23.01 i 23.01 iii
TOP / BOTTOM PLATE - HEADER
DN 25 - NPT- PLUG
DN 25 - NPT- COUPLING 11.80 11.8 i 11.8 iii
WNRF FLANGES - 200 DN - 23.01 i 23.01 iii
-196 oC
B
1 SA-105N 1 / 2 B -29.00
2 SA-179 1 / 1UCS-66 (d)
(4) (a) -105.00
i THICKNESS OF THINNER WELDED MEMBER AT CATEGORY "C" CORNER JOINT AS PER UCS-66 (a) (1) (b)
ii 1/4TH OF FLAT HEAD THICKNESS AS PER UCS-66 (a) (3).
iii DEPTH OF GROOVE WELD ATTACHING MEMBERS OF THE DIFFERENT THICKNESS.
iv THE DEPTH OF GROOVE OR THE THROAT OF FILLET WELD, WHICHEVER IS GREATER AS PER UW-40 (f) (3).
v THE MDMT IS -3.99 ˚C (WARMER TEMPERATURE) AS DEMONSTRATED ABOVE.
TUBES 2.110 - -
MISCELLANEOUS
PLUG 28.575 7.144 ii -
Page No: 36 of 50Date:Revision:Document No:Tag No:
���� CHECK FOR UG 20 (f) FOR IMPACT TEST REQUIREMENT:
IMPACT TEST AS PER PROCEDURE MENTIONED IN UG-84 IS NOT REQUIRED IF ALL OF THE FOLLOWING CONDITIONARE SATISFIED :
SR. NO.
MATERIAL IS LIMITED TO P1, GROUP 1 OR 2 & THICKNESS IS NOT EXCEEDING13 mm FOR MATERIAL LISTED IN CURVE 'A' OR FIGURE UCS-66 AND 25 mmFOR MATERIALS LISTED IN CURVES 'B', 'C' OR 'D' OF FIG. UCS -66.VESSEL HYDRAULICALLY TESTED AS PER UG-99 ( b ) OR ( c ) OR APPENDIX 27 - 4.DESIGN TEMPERATURE NO WARMER THAN 343 ° C NOR COLDER THAN - 29 ° C.THERMAL OR MECHANICAL SHOCK LOADING IS NOT A CONTROLLING DESIGNREQUIREMENT ( REFER UG-22 )CYCLIC LOADING IS NOT CONTROLLING DESIGN REQUIREMENT. (REFER UG-22)
���� CONCLUSION :
5 YES
NO
2
3 YES
4 YES
04.06.143
C5437-HC
YES
IMPACT TEST REQUIREMENT AS PER UG-20 (f), UCS-66
HE1
CONDITION CONDITIONSSATISFIED
1
1) IMPACT TESTING OF ALL PARENT MATERIAL IS REQUIRED AS PER UG-20 (f).
2) ALL MATERIALS ARE EXEMPTED FROM IMPACT TEST UPTO -3.99 ºC. REFER SHEET "GOVERNING THICKNESS".
3) MDMT REQUIRED BY CUSTOMER = -1.11 OC PROPOSED (CERTIFIED) MDMT = -1.11 ºC @ 11.8 MPa (g).
Page No: 37 of 50Date:Revision:Document No:Tag No:
���� POST FORMING AS PER UG-79, UCS-79 :
NOT APPLICABLE SINCE NO SECTION / PART IS BEING COLD FORMED.
���� POST WELD HEAT TREATMENT AS PER UW-2, UCS-56, UCS-68(b) :
POST WELD HEAT TREATMENT IS MANDATORY IF ANY OF THE FOLLOWING CONDITIONS EXIST :
SR.NO.
1 LETHAL SERVICE APPLICATIONUNFIRED STEAM BOILER SERVICE WITH DESIGN PRESSURE GREATER THAN 345 kPa MATERIALS OVER 32 mm NOMINAL THICKNESSAS DEFINED IN UW- 40 (f) FOR MATERIAL WITH MDMT COLDER THAN -48 °C AND COINCIDENT RATIO IS EQUAL TO OR GREATERTHAN 0.35
���� CONCLUSION:
1) POST WELD HEAT TREATMENT AS PER UCS 56 IS NOT MANDATORY.
NO UW -2(c)
3 NO TABLE UCS-56 FOR P-1,GROUP 1,2,3
04.06.143
C5437-HCHE1
POST FORMING HEAT TREATMENT REQUIREMENT AS PER UG-79, UCS-79, &
POST WELD HEAT TREATMENT REQUIREMENT AS PER UW-2, UCS-56
CONDITION APPLICABILITY REFERENCE
NO UW -2(a)
4 NO UCS-68(b)
2
1) POST WELD HEAT TREATMENT AS PER UCS 56 IS NOT MANDATORY.2) POST WELD HEAT TREATMENT AS PER API-661 IS MANDATORY.
Page No: 38 of 50Date:Revision:Document No:Tag No:
���� FULL RADIOGRAPHY REQUIREMENT IS MANDATORY WHEN ANY OF THE FOLLOWING CONDITIONS EXIST :
SR. NO.
1 LETHAL SERVICE APPLICATION [ UW-2 (a) ]ALL BUTT WELDS WITH MINIMUM NOMINAL THICKNESS EXCEEDING 38 mmOR EXCEEDS THE LESSER THICKNESS SPECIFIED IN UCS-57 i.e. 32 mmUNFIRED STEAM BOILER SERVICE WITH DESIGN PRESSURE GREATER THAN345 kPa CATEGORY B & C BUTT WELDS IN NOZZLES AND COMMUNICATING CHAMBERSTHAT EXCEED NEITHER DN 250 NOR 29 mm WALL THICKNESS.JOINT EFFICIENCY OF CATEGORY A & D BUTT WELDS ARE TAKEN FROM COLUMN (a) OF TABLE UW-12ALL BUTT WELDS JOINT BY ELECTRO GAS WELDING WITH ANY SINGLE PASS GREATER THAN 38 mm & ALL BUTT WELDS JOINED BY ELECTRO SLAG WELDINGULTRASONIC EXAMINATION IN ACCORDANCE WITH UW-53 MAY BE SUBSTITUTED FOR RADIOGRAPHY FOR THE FINAL CLOSURE SEAM OF APRESSURE VESSEL IF THE CONSTRUCTION OF THE VESSEL DOES NOT PERMIT INTERPRETABLE RADIOGRAPHS IN ACCORDANCE WITH CODEREQUIREMENTS.
���� CONCLUSION :
1) FULL RADIOGRAPHY AS PER UW-11 IS NOT MANDATORY.
NO4
5 NO
7 NO
6 NO
04.06.143
C5437-HC
3 NO
FULL RADIOGRAPHY REQUIREMENT AS PER UW-11
HE1
DESCRIPTION APPLICABILITY
NO
2 NO
2) NOZZLE PIPE TO FLANGE CATEGORY 'C' WELD JOINT AND NOZZLE PIPE TO BOX CATEGORY 'D' WELD JOINT ARE EXEMPTED AS DEMONSTRATED ABOVE.
3) RADIOGRAPHY IS NOT MANDATORY, SINCE VESSEL HAS A NON-CIRCULAR CROSS SECTION, DERIVED TO THE RULES OF APPENDIX 13 COMPRISING CATEGORY 'C' & 'D' CORNER JOINTS WHICH ARE CONTROLLED BY THE APPLICABLE RULES OF FIG. UW-13.2 AND UG-34.
4) SINCE BOX HEADER FOR AIR COOLED HEAT EXCHANGERS USING CORNER WELD JOINT CONSTRUCTED INACCORDANCE WITH FIG. 28-1, THE RULES OF UW-13 (e) (4) AND FIG. UW-13.2 ARE SUPPLEMENTED TO APPENDIX 28.
5) APPENDIX 28 REPLACES ONLY THE REQUIREMENT OF " a + b NOT LESS THAN 2ts" OF UW-13 (e) (4) ANDTHE WELD JOINT GEOMETRY OF FIG. UW-13.2.
6) AFTER PRODUCTION WELDING, THE BACK SIDE OF THE WELD SHALL BE SUBJECTED TO A VISUAL EXAMINATION TO ASSURE THAT COMPLETE FUSION AND PENETRATION HAVE BEEN ACHIEVED IN THE ROOT, EXCEPT WHERE VISUAL EXAMINATION IS LOCALLY PREVENTED BY AN INTERNAL MEMBER COVERING THE WELD AS PER APPENDIX 28 (c).
7) 100% RADIOGRAPHY / ULTRASONIC EXAMINATION IS PROVIDED AS PER TABLE 1 OF C5437-HD-002
Page No: 39 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
MAWP = MAXIMUM ALLOWABLE WORKING PRESSURE = 11.800 MPaP = MAWP WITH STATIC HEIGHT = 11.801 MPaT = DESIGN TEMPERATURE = 121.110 OCS = ALLOWABLE STRESS AT DESIGN TEMP.- PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 110.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 30.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mm
U = STAY PLATE LIGAMENT EFFICIENCY = 0.720E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 116.350 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.126t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.421e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
04.06.143
C5437-HCHE1
NOZZLE HEADER - MAWP CALCULATION (HOT & CORRODED)
e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = S = 138.00 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * S = 207.00 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 25.490 138.00
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -72.889(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 121.528(ST)N = Sm + (Sb)N = -47.399 207.00(ST)Q = Sm + (Sb)Q = 147.018 207.00
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 46.959 138.00
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 157.316(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -160.145(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 103.154(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -105.009(ST)Mi = Sm + (Sb)Mi = 204.275 207.00(ST)Mo = Sm + (Sb)Mo = -113.186 207.00(ST)Qi = Sm + (Sb)Qi = 150.113 207.00(ST)Qo = Sm + (Sb)Qo = -58.050 207.00
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 121.727
(ST) = Sm = 121.727 138.00
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 111.005 138.00
CONCLUSION : GOVERNING COMPONENT IS PLUG SHEET OF RETURN HEADER WITH MAWP OF 10.4 MPa
28.04%
88.21%
80.44%
22.90%
18.47%
72.52%54.68%98.68%
71.02%
34.03%
ALLOWABLE STRESS,MPa
% ALLOWABLEMPa
Page No: 40 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
MAWP = MAXIMUM ALLOWABLE WORKING PRESSURE = 11.800 MPaP = MAWP WITH STATIC HEIGHT = 11.801 MPaT = DESIGN TEMPERATURE = 121.110 OCS = ALLOWABLE STRESS AT DESIGN TEMP.- PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 100.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 28.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mm
U = STAY PLATE LIGAMENT EFFICIENCY = 0.672E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 106.350 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.029t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.298e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
e = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545
HE1
RETURN HEADER - MAWP CALCULATION (HOT & CORRODED)
04.06.143
C5437-HC
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = S = 138.00 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * S = 207.00 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 24.762 138.00
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -56.053(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 106.381(ST)N = Sm + (Sb)N = -31.291 207.00(ST)Q = Sm + (Sb)Q = 131.143 207.00
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 42.923 138.00
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 162.158(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -165.074(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 90.298(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -91.921(ST)Mi = Sm + (Sb)Mi = 205.081 207.00(ST)Mo = Sm + (Sb)Mo = -122.151 207.00(ST)Qi = Sm + (Sb)Qi = 133.221 207.00(ST)Qo = Sm + (Sb)Qo = -48.998 207.00
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 132.432
(ST) = Sm = 132.432 138.00
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 108.289 138.00
CONCLUSION : GOVERNING COMPONENT IS PLUG SHEET OF RETURN HEADER WITH MAWP OF 10.4 MPa
23.67%
95.97%
78.47%
99.07%59.01%64.36%
MPa ALLOWABLE STRESS,MPa
% ALLOWABLE
17.94%
15.12%63.35%
31.10%
Page No: 41 of 50Date:Revision:Document No:Tag No:
REFERENCE : APPENDIX-13 OF ASME SECTION VIII DIVISION 1.VALUE UNIT
MAWP = MAXIMUM ALLOWABLE WORKING PRESSURE = 11.800 MPaP = MAWP WITH STATIC HEIGHT = 11.801 MPa (g)T = DESIGN TEMPERATURE = 121.110 ºCC = CORROSION ALLOWANCE = 3.175 mm
MOCt = MATERIAL OF CONSTRUCTION FOR TUBE = SA-179St = ALLOWABLE STRESS AT DESIGN TEMPERATURE- TUBE = 92.400 MPa
Rot = OUTSIDE RADIUS OF TUBE = 12.700 mmtt = THICKNESS OF TUBE = 2.110 mm
MOCn1 = MATERIAL OF CONSTRUCTION FOR NOZZLE - N1 - N4 = SA-234 Gr.WPBStn1 = ALLOWABLE STRESS AT DESIGN TEMPERATURE- NOZZLE = 118.000 MPa
Ron1 = OUTSIDE RADIUS OF NOZZLE - N1 - N4 = 109.550 mmtn1 = THICKNESS OF NOZZLE - N1 - N4 = 20.134 mm
MOCn2 = MATERIAL OF CONSTRUCTION FOR NOZZLE - D - V = SA-182 Gr.F316Stn2 = ALLOWABLE STRESS AT DESIGN TEMPERATURE- NOZZLE = 138.000 MPa
Ron2 = OUTSIDE RADIUS OF NOZZLE - D - V = 28.500 mmtn2 = THICKNESS OF NOZZLE - D - V = 11.800 mm
E = JOINT EFFICIENCY - NOZZLE & TUBE = 1.000
04.06.143
C5437-HCHE1
TUBE ,NOZZLE & FLANGES - MAWP CALCULATION (HOT & CORRODED)
���� TUBE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )S = [ P * { Rot - 0.4 * ( tt ) } ] / [ E * ( tt ) ] = 66.309
���� NOZZLE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )
A) NOZZLE N1 - N4S = [ P * { Ron1 - 0.4 * ( tn1 - C ) } ] / [ E * ( tn1 - C ) ] = 71.510
A) NOZZLE V / DS = [ P * { Ron2 - 0.4 * ( tn2 - C ) } ] / [ E * ( tn2 - C ) ] = 34.274
���� FLANGE RATING AS PER ASME B16.5FOR # 900 RATINGPERMITTED MAWP w.r.t DESIGN TEMP. = 11.801
CONCLUSION : GOVERNING COMPONENT IS PLUG SHEET OF RETURN HEADER WITH MAWP OF 10.4 MPa
85.61%
118.000
13.785
60.60%
138.000 24.84%
92.400 71.76%
MPaALLOWABLE STRESS,MPa
% ALLOWABLE
Page No: 42 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
MAP = MAXIMUM ALLOWABLE PRESSURE = 15.160 MPaP = MAP WITH STATIC HEIGHT = 15.161 MPaT = ROOM TEMPERATURE = 17.000 OCS = ALLOWABLE STRESS AT ROOM TEMP.- PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 110.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 30.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 0.000 mm
U = STAY / PARTITION PLATE LIGAMENT EFFICIENCY = 0.720E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 97.000 mmH = H' + ( 2 * C ) = 110.000 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.134t1 = ( t1' - C ) = 28.000 mmt2 = ( t2' - C ) = 30.000 mmt4 = ( t4' - 2 * C ) = 20.000 mmD = ( D' + 2 * C ) = 332.000 mml1 = ( t1 )
3 / 12 = 1829.333 mm3
l2 = ( t2 )3 / 12 = 2250.000 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.395e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
e = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545
04.06.143
C5437-HCHE1
NOZZLE HEADER - MAP CALCULATION (NEW & COLD)
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.533Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 14.000 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 15.000 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 14.880 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -15.120 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = S = 138.00 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * S = 207.00 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 27.311 138.00
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -66.326(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 109.167(ST)N = Sm + (Sb)N = -39.015 207.00(ST)Q = Sm + (Sb)Q = 136.478 207.00
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 51.000 138.00
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 141.598(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -143.882(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 94.335(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -95.857(ST)Mi = Sm + (Sb)Mi = 192.598 207.00(ST)Mo = Sm + (Sb)Mo = -92.882 207.00(ST)Qi = Sm + (Sb)Qi = 145.335 207.00(ST)Qo = Sm + (Sb)Qo = -44.857 207.00
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 100.057
(ST) = Sm = 100.057 138.00
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 101.916 138.00
CONCLUSION : GOVERNING COMPONENT IS NOZZLE FLANGE WITH MAP OF 15.160 MPa
ALLOWABLE STRESS,MPa
% ALLOWABLE
19.79%
18.85%65.93%
MPa
36.96%
72.51%
73.85%
93.04%44.87%70.21%21.67%
Page No: 43 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
MAP = MAXIMUM ALLOWABLE PRESSURE = 15.160 MPaP = MAP WITH STATIC HEIGHT = 15.161 MPaT = ROOM TEMPERATURE = 17.000 OCS = ALLOWABLE STRESS AT ROOM TEMP.- PLATE = 138.000 MPa
H' = INSIDE LENGTH OF SHORT SIDE = 100.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 28.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 0.000 mm
U = STAY / PARTITION PLATE LIGAMENT EFFICIENCY = 0.672E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 97.000 mmH = H' + ( 2 * C ) = 100.000 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.031t1 = ( t1' - C ) = 28.000 mmt2 = ( t2' - C ) = 30.000 mmt4 = ( t4' - 2 * C ) = 20.000 mmD = ( D' + 2 * C ) = 332.000 mml1 = ( t1 )
3 / 12 = 1829.333 mm3
l2 = ( t2 )3 / 12 = 2250.000 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.268e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
e = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545
HE1
RETURN HEADER - MAP CALCULATION (NEW & COLD)
04.06.143
C5437-HC
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.533Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 14.000 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 15.000 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 14.880 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -15.120 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = S = 138.00 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * S = 207.00 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 26.485 138.00
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -50.171(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 94.864(ST)N = Sm + (Sb)N = -23.686 207.00(ST)Q = Sm + (Sb)Q = 121.349 207.00
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 46.364 138.00
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 146.236(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -148.595(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 81.976(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -83.298(ST)Mi = Sm + (Sb)Mi = 192.600 207.00(ST)Mo = Sm + (Sb)Mo = -102.231 207.00(ST)Qi = Sm + (Sb)Qi = 128.340 207.00(ST)Qo = Sm + (Sb)Qo = -36.934 207.00
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 108.957
(ST) = Sm = 108.957 138.00
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 96.69 138.00
CONCLUSION : GOVERNING COMPONENT IS NOZZLE FLANGE WITH MAP OF 15.160 MPa
17.84%
78.95%
70.07%
93.04%49.39%62.00%
MPa ALLOWABLE STRESS,MPa
% ALLOWABLE
19.19%
11.44%58.62%
33.60%
Page No: 44 of 50Date:Revision:Document No:Tag No:
REFERENCE : APPENDIX-13 OF ASME SECTION VIII DIVISION 1.VALUE UNIT
MAP = MAXIMUM ALLOWABLE PRESSURE = 15.160 MPaP = MAP WITH STATIC HEIGHT = 15.170 MPa (g)T = ROOM TEMPERATURE = 17.000 ºCC = CORROSION ALLOWANCE = 0.000 mm
MOCt = MATERIAL OF CONSTRUCTION FOR TUBE = SA-179St = ALLOWABLE STRESS AT ROOM TEMPERATURE- TUBE = 115.000 MPa
Rot = OUTSIDE RADIUS OF TUBE = 12.700 mmtt = THICKNESS OF TUBE = 2.110 mm
MOCn1 = MATERIAL OF CONSTRUCTION FOR NOZZLE - N1 - N4 = SA-234 Gr.WPBStn1 = ALLOWABLE STRESS AT ROOM TEMPERATURE- NOZZLE = 118.000 MPa
Ron1 = OUTSIDE RADIUS OF NOZZLE - N1 - N4 = 109.550 mmtn1 = THICKNESS OF NOZZLE - N1 - N4 = 20.134 mm
MOCn2 = MATERIAL OF CONSTRUCTION FOR NOZZLE - D - V = SA-182 Gr.F316Stn2 = ALLOWABLE STRESS AT DESIGN TEMPERATURE- NOZZLE = 138.000 MPa
Ron2 = OUTSIDE RADIUS OF NOZZLE - D - V = 28.500 mmtn2 = THICKNESS OF NOZZLE - D - V = 11.800 mm
E = JOINT EFFICIENCY - NOZZLE & TUBE = 1.000
04.06.143
C5437-HCHE1
TUBE ,NOZZLE & FLANGES - MAP CALCULATION (NEW & COLD)
���� TUBE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )S = [ P * { Rot - 0.4 * ( tt ) } ] / [ E * ( tt ) ] = 85.24
���� NOZZLE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )
A) NOZZLE N1 - N4S = [ P * { Ron1 - 0.4 * ( tn1 - C ) } ] / [ E * ( tn1 - C ) ] = 76.473
A) NOZZLE V / DS = [ P * { Ron2 - 0.4 * ( tn2 - C ) } ] / [ E * ( tn2 - C ) ] = 30.571
���� FLANGE RATING AS PER ASME B16.5FOR # 900 RATINGPERMITTED MAP w.r.t ROOM TEMP. = 15.170
CONCLUSION : GOVERNING COMPONENT IS NOZZLE FLANGE WITH MAP OF 15.160 MPa
MPa
118.000 64.81%
74.12%
ALLOWABLE STRESS,MPa
% ALLOWABLE
99.02%
115.000
15.320
138.000 22.15%
Page No: 45 of 50
Date:
Revision:
Document No:Tag No:
���� HYDROSTATIC TEST PRESSURE AS PER UG-99 (b) :
MAXIMUM ALLOWABLE WORKING PRESSURE = 11.800 MPa (g)
DESIGN TEMPERATURE = 121.11 °C
MIN. RECOMMENDED TEST TEMPERATURE = 17.000 °C
MINIMUM HYDROSTATIC TEST PRESSURE = 1.3 x MAWP x LOWEST RATIO r
1.000TUBES SA-179 92.40 92.40
TRANSITION NOZZLE
1.000
118.00SA-234 Gr.WPB
1.000NOZZLES SA-234 Gr.WPB 118.00 118.00
1.000
COUPLING SA-105N 138.00 138.00 1.000
138.00
118.00
ROUND PLUG SA-182 Gr.F316 138.00
1.000
PLUG SA-105N 138.00 138.00 1.000
1.000
SA-516 Gr.70 N 138.00 138.00
SA-105N 138.00FLANGES 138.00
HEADER PLATES
AT TEST TEMP. r = ST / SDPARTS MATERIAL ALLOWABLE STRESS ALLOWABLE STRESS
SD (MPa) ST (MPa)
RATIO AT DESIGN TEMP.
HE1
04.06.143
C5437-HC
HYDROSTATIC TEST PRESSURE CALCULATION AS PER UG-99 (b)
MINIMUM HYDROSTATIC TEST PRESSURE = 1.3 x MAWP x LOWEST RATIO r = 15.340 MPa (g)
Page No: 46 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
P = HYDROSTATIC TEST PRESSURE WITH STATIC HEIGHT = 15.350 MPaT = HYDROSTATIC TEST TEMPERATURE = 17.000 OC
Sy = ALLOWABLE YIELD STRESS AT ROOM TEMP.- PLATE = 262.000 MPaH' = INSIDE LENGTH OF SHORT SIDE = 110.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 30.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mm
U = STAY PLATE LIGAMENT EFFICIENCY = 0.720E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 116.350 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.126t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.421e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
e = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545
HE1
NOZZLE HEADER - STRESS DURING HYDROTEST CONDITION AS PER U-2(g)
04.06.143
C5437-HC
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = 0.9 * Sy = 235.80 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * ( 0.9 * Sy ) = 353.70 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 33.156 235.80
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -94.810(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 158.075(ST)N = Sm + (Sb)N = -61.654 353.70(ST)Q = Sm + (Sb)Q = 191.231 353.70
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 61.081 235.80
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 204.627(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -208.306(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 134.177(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -136.589(ST)Mi = Sm + (Sb)Mi = 265.708 353.70(ST)Mo = Sm + (Sb)Mo = -147.225 353.70(ST)Qi = Sm + (Sb)Qi = 195.258 353.70(ST)Qo = Sm + (Sb)Qo = -75.508 353.70
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 158.335
(ST) = Sm = 158.335 235.80
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 144.388 235.80
SO, SAFE
SO, SAFE
SO, SAFESO, SAFESO, SAFESO, SAFE
ALLOWABLE STRESS,MPa
% ALLOWABLE
SO, SAFE
MPa
SO, SAFESO, SAFE
SO, SAFE
Page No: 47 of 50Date:Revision:Document No:Tag No:
INPUT DATA : (AS PER APPENDIX 13-9 (c) & 13-5) VALUE UNITS
P = HYDROSTATIC TEST PRESSURE WITH STATIC HEIGHT = 15.350 MPaT = HYDROSTATIC TEST TEMPERATURE = 17.000 OC
Sy = ALLOWABLE YIELD STRESS AT ROOM TEMP.- PLATE = 262.000 MPaH' = INSIDE LENGTH OF SHORT SIDE = 100.000 mmh' = INSIDE LENGTH OF LONG SIDE = 97.000 mmt1' = THICKNESS OF TOP/BOTTOM PLATE (SHORT SIDE) = 28.000 mmt2' = THICKNESS OF TUBE/PLUG PLATE (LONG SIDE) = 30.000 mmt4' = THICKNESS OF STAY PLATE = 20.000 mmt5 = THICKNESS OF END PLATE = 28.000 mmC = CORROSION ALLOWANCE OF PLATE / SHEET = 3.175 mm
U = STAY PLATE LIGAMENT EFFICIENCY = 0.672E = JOINT EFFICIENCY FACTOR = 1.000
D' = LARGE SPAN MEASURED PERPENDICULAR TO SHORT SPAN = 332.000 mmCF = END PLATE ATTACHMENT FACTOR AS PER APP. - 13.4 (f) = 0.200
CALCULATIONS :h = h' + ( 2 * C ) = 103.350 mmH = H' + ( 2 * C ) = 106.350 mm� = RECTANGULAR VESSEL PARA METER = H / h = 1.029t1 = ( t1' - C ) = 24.825 mmt2 = ( t2' - C ) = 26.825 mmt4 = ( t4' - 2 * C ) = 13.650 mmD = ( D' + 2 * C ) = 338.350 mml1 = ( t1 )
3 / 12 = 1274.931 mm3
l2 = ( t2 )3 / 12 = 1608.563 mm3
K = VESSEL PARAMETER = ( l2 / l1 ) * � = 1.298e = TUBE SHEET LIGAMENT EFFICIENCY = 0.594
e = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545
HE1
RETURN HEADER - STRESS DURING HYDROTEST CONDITION AS PER U-2(g)
04.06.143
C5437-HC
em = MEMBRANE LIGAMENT EFFI. FOR PLUG SHEET = 0.545eb = BENDING LIGAMENT EFFI. FOR PLUG SHEET = 0.531Z = MIN ( 2.5, {3.4 - ( 2.4 * H ) / D } AS PER UG-34 (c) (3) = 2.500
c1 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t1 / 2 = 12.413 mmc2 = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = t2 / 2 = 13.413 mmc2i = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = 13.293 mmc2o = DIST. FROM NEUTRAL AXIS OF C/S TO EXTREME FIBERS = -13.532 mm
Sa (m) = ALLOWBALE STRESS FOR MEMBRANE STRESS = 0.9 * Sy = 235.80 MPaSa (T) = ALLOWBALE STRESS FOR TOTAL STRESS = 1.5 * ( 0.9 * Sy ) = 353.70 MPa
���� TOP / BOTTOM PLATESm = [ P * h / 2 * t1 * E ] * [ 3 - { ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) } ] = 32.209 235.80
(Sb)N = [P * c1 / 24 * I1 * E] * [-3 * H2 + 2 * h2 * {(3 + 5 *�2 * K) / (3 + 5 *K)} ] = -72.910(Sb)Q = [ P * h2 * c1 / 12 * I1 * E ] * [ ( 3 + 5 * �2 * K ) / ( 3 + 5 * K ) ] = 138.374(ST)N = Sm + (Sb)N = -40.701 353.70(ST)Q = Sm + (Sb)Q = 170.583 353.70
���� PLUG SHEET :Sm = ( P * H ) / ( 2 * t2 * em ) = 55.832 235.80
(Sb)Mi = [ P * h2 * c2i / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = 210.926(Sb)Mo = [ P * h2 * c2o / 12 * I2 * eb ] * [ { 3 + K * ( 6 - �2 ) } / ( 3 + 5 * K ) ] = -214.718(Sb)Qi = [ P * h2 * c2i / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = 117.454(Sb)Qo = [ P * h2 * c2o / 12 * I2 ] * [ ( 3 + 5 * �2 * K) / ( 3 + 5 * K ) ] = -119.565(ST)Mi = Sm + (Sb)Mi = 266.758 353.70(ST)Mo = Sm + (Sb)Mo = -158.886 353.70(ST)Qi = Sm + (Sb)Qi = 173.286 353.70(ST)Qo = Sm + (Sb)Qo = -63.733 353.70
���� STAY PLATE :Sm = [ P * h / 2 * t4 * U ] * [ ( 6 + K * ( 11 - �2 ) / ( 3 + 5 * K ) ] = 172.259
(ST) = Sm = 172.259 235.80
���� END PLATE AS PER APPENDIX 13-4 ( f ) & UG-34 (c) (3) :t5 = [ H * { ( CF * Z * P ) / S * E } 1/2 ] + CS = [ ( H2 * CF * Z * P ) / { ( t5 - C )2 * E ) } ] = 140.856 235.80
SO, SAFE
SO, SAFE
SO, SAFE
SO, SAFESO, SAFESO, SAFE
MPa ALLOWABLE STRESS,MPa
% ALLOWABLE
SO, SAFE
SO, SAFESO, SAFE
SO, SAFE
Page No: 48 of 50Date:Revision:Document No:Tag No:
VALUE UNIT
P = HYDROSTATIC TEST PRESSURE WITH STATIC HEIGHT = 15.350 MPa (g)T = HYDROSTATIC TEST TEMPERATURE = 17.000 ºCC = CORROSION ALLOWANCE = 3.175 mm
MOCt = MATERIAL OF CONSTRUCTION FOR TUBE = SA-179Syt = ALLOWABLE YEILD STRESS AT ROOM TEMPERATURE- TUBE = 179.000 MPaRot = OUTSIDE RADIUS OF TUBE = 12.700 mm
tt = THICKNESS OF TUBE = 2.110 mmMOCn1 = MATERIAL OF CONSTRUCTION FOR NOZZLE - N1 - N4 = SA-234 Gr.WPB
Sytn1 = ALLOWABLE YEILD STRESS AT ROOM TEMPERATURE- NOZZLE = 241.000 MPaRon1 = OUTSIDE RADIUS OF NOZZLE - N1 - N4 = 109.550 mm
tn1 = THICKNESS OF NOZZLE - N1 - N4 = 20.134 mmMOCn2 = MATERIAL OF CONSTRUCTION FOR NOZZLE -D - V = SA-182 Gr.F316
Sytn2 = ALLOWABLE YEILD STRESS AT ROOM TEMPERATURE- NOZZLE = 207.000Ron2 = OUTSIDE RADIUS OF NOZZLE - D - V = 28.500 mm
tn2 = THICKNESS OF NOZZLE - D - V = 11.800 mmE = JOINT EFFICIENCY - NOZZLE & TUBE = 1.000
Syt = ALLOWABLE STRESS AT ROOM TEMPERATURE- TUBE = 0.9 * Syt = 161.100Syn1 = ALLOWABLE STRESS AT ROOM TEMPERATURE- NOZZLE = 0.9 * Syn1 = 216.900Syn2 = ALLOWABLE STRESS AT ROOM TEMPERATURE- NOZZLE = 0.9 * Syn2 = 186.300
04.06.143
C5437-HCHE1
TUBE ,NOZZLE & FLANGES - STRESS DURING HYDROSTATIC TEST AS PER U-2(g)
���� TUBE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )S = [ P * { Rot - 0.4 * ( tt ) } ] / [ E * ( tt ) ] = 86.251
���� NOZZLE AS PER APPENDIX 1-1 (a) :
t = ( P * Ro ) / ( S * E + 0.4 * P )
A) NOZZLE N1 - N4S = [ P * { Ron1 - 0.4 * ( tn1 - C ) } ] / [ E * ( tn1 - C ) ] = 93.016
B) NOZZLE D - VS = [ P * { Ron2 - 0.4 * ( tn2 - C ) } ] / [ E * ( tn2 - C ) ] = 44.582
���� FLANGE RATING AS PER ASME B16.5FOR # 900 RATINGPERMITTED MAWP w.r.t ROOM TEMP. = 15.350 22.980(1.5 TIMES MAWP AT ROOM TEMP. AS PER CLAUSE 2.6)
161.100 SO, SAFE
ALLOWABLE STRES,MPa
SO, SAFE
SO, SAFE
186.300
216.900 SO, SAFE
MPa
Page No: 49 of 50Date:Revision:Document No:Tag No:
INPUT DATA :NOZZLE SIZE DN 200NOZZLE MATERIAL SA-234 Gr.WPBNOZZLE LOCATION NOZZLE HEADER NOZZLE MARK NO. N1 - N4
P = INTERNAL DESIGN PRESSURE = 10.205 MPa (g)Sv = ALLOWABLE STRESS - VESSEL = 138.000 MPa
Dod = OUT SIDE DIA. OF NOZZLE = 219.100 mmWt = WALL THK. OF PIPE = 23.021 mmC = CORROSION ALLOWANCE. = 3.175 mmUt = PIPE UNDER TOLERANCE = 12.50%
Dhalf weld = WELD FILLET SIZE = 9 mmDH = INSIDE WIDTH OF HEADER = 110 mmDh = DISTANCE FROM PLATE TO FORCE LINE OF ACTION = 322 mmL = INSIDE WIDTH OF NOZZLE = 173.058 mm
Ta = THINNING ALLOWANCE = 0 mm
NOZZLE LOADING DATA :N = SAFETY MULTIFICATION FACTOR = 1
AS PER API MANUAL ENTRY
Mx = 3050 = 3050 N.mMy = 6100 = 6100 N.mMz = 2240 = 2240 N.mFx = 5690 = 5690 NFy = 13340 = 13340 N
04.06.143
C5437-HCHE1
NOZZLE LOAD CALCULATION INPUT DATA
Fy = 13340 = 13340 NFz = 8010 = 8010 N
STRESSES :Sts = EXISTING STRESS IN TUBESHEET ( = (ST)Q , REFER PAGE : ) = 127.263 MPaSps = EXISTING STRESS IN PLUGSHEET ( = (ST)Q1 , REFER PAGE : ) = -50.199 MPa
Page No: 50 of 50Date:Revision:Document No:Tag No:
THIS CALCULATION IS BASED ON A CONSERVATIVE METHOD DEVELOPED BY JORD. THE COMPLEX GEOMETRY IS SIMPLFIED BY APPROXIMATING THE CONNECTION AS AN EFFECTIVE AREA, THE ONLY METHOD TO ACCURATELYCALCULATE THE RESULTING STRESS IS BY FEA
CALCULATION :
Did = INSIDE DIA. OF NOZZLE = 185.16325 mmDwld = WELD THICKNESS = D half weld + Wt - Ta- C - Ut * Wt = 25.97 mmRwld = WELD RADIUS = 0.5 * DH + Wt + D half weld = 87.02 mmDcnt = DISTANCE FROM WELD CENTRE TO NOZZLE CENTRE
= Di + 0.5 * D wld = 71.16 mmDI = WELD LENGTH = 2 * ( Rwld
2 - Di2 ) 1/2 * (Di / Rwld ) + L - DH = 149.59 mm
Di = DIASTANCE FORM NOZZLE CENTER TO WELD INTERNAL= 0.5 * DH + C = 58.18 mm
Aeff = TOTAL EFFECTIVE WELD AREA = 2 * ( Dwld * DI) = 7769.07 mm2
DESIGN LOADS
Mt = TENSILE MOMENT = My = 6100 N.m
Mb = BENDING MOMENT (due to moments), Mb = ( Mx2 + Mz
2 )1/2 = 3784.1908 N.mFt = TENSILE FORCE, = Fy = 13340 N.mFh = SHEAR FORCE = ( Fx
2 + Fz2 ) 1/2 = 9825.2837 N.m
Mbt = TOTAL BENDING MOMENT , Mbt = Mb+ Fh*Dh = 6947.9322 N.m
04.06.143
C5437-HCHE1
NOZZLE LOAD CALCULATION
EFFECTIVE SECTION PROPERTIES
Iyy = 2 *( ( Dwld3 * Dl ) / 12 + Dcnt
2 * Aeff / 2) = 3.98E+07 mm4
Zyy = Iyy / (Dwld + Di) = 4.73E+05 mm3
STRESS CALCULATION
St = AXIAL TENSION = Ft / At = 1.717 MPa
Sb = BENDING STRESS (yy axis) = Mbt / Zyy = 14.698 MPa
Fs = NET SHEAR STRESS ( TORSION ) = Mt / ( 2 * Dcnt ) = 42861.647 N
(ASSUMIN Mt TAKESN AS EQUAL AND OPPOSITE FORCES IN CONNECTION)
THEREFORE SHEAR STRESS IN CONNECTION Snsh = Fs / ( 0.5 * At ) = 11.034 MPa
Snt = NETT TENSILE STRESS = St + Sb = 16.415 MPa
Snc = NETT COMPRESSIVE STRESS = Sb - St = 12.981 MPa
Sa = MAX. ALLOWABLE COMBINED STRESS = 1.5 * Sv - MAX ( Sts,Sps ) = 79.737 MPa
CONCLUSION : THE RESULTANT STRESS IS LESS THAN THE ALLOWABLE STRESS, THEREFORE NOZZLE IS SAFE FOR SPECIFIED LOADINGS